The area of a triangle is formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. Find A if it is known that parabola opens upwards

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

Answer 2

Answer:

a=2/3

Step-by-step explanation:

1. y=a(x-x1)(x-x2) is a formula for a parabola, x1 and x2 being points where y=0 so in the equation y=a(x-3)(x+2), you know

x1=3, x2=-2

2. Find distance between 3 and -2, which is 5

3. bh/2=A --> 5h/2=10 --> h=4  (h is height)

4. when x=0, y=-6a, y=a(0-3)(0+2)

5. because parabola opens upward, the point of the vertex must be (_, -4)

6. -6a= -4

     a=2/3


Related Questions

what distribution is used with the global test of the regression model to reject the null hypothesis?

Answers

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

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Use the method of undetermined coefficients to determine the form of a particular solution for the given equation. y ′′′
+5y ′′
−6y=xe x
+7 What is the form of the particular solution with undetermined coefficients? y p

(x)= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Answers

The form of the particular solution with undetermined coefficients for the equation y‴ + 5y′′ − 6y = xe^x + 7 is y_p(x) = (-1/6)x²e^x - (1/12)xe^x + (5/36)x.

The general form of the given differential equation is:
y‴ + 5y″ - 6y = xe^x + 7
The auxiliary equation is given by the characteristic equation:
r³ + 5r² - 6r = 0
r(r² + 5r - 6) = 0
r = 0, r = -5, or r = 1
The complementary solution is:
y_c(x) = c1 + c2e^(-5x) + c3e^x
Next, the form of the particular solution with undetermined coefficients is determined by guessing:
y_p(x) = Ax²e^x + Bxe^x + Cx + D
Differentiating this equation three times gives:
y_p(x) = Ax²e^x + Bxe^x + Cx + D
y′_p(x) = 2Ax e^x + Ae^x + B e^x + C
y′′_p(x) = 2A e^x + 4A x e^x + Be^x
y‴_p(x) = 6A e^x + 4A x e^x
Substituting the particular solution into the differential equation gives:
6Ae^x + 4Ax e^x + 10Ae^x + 10Ax e^x + 6Be^x + 4A e^x + 4B e^x + 5(2A e^x + 4A x e^x + Be^x) - 6(Ax² e^x + Bxe^x + Cx + D) = xe^x + 7
Simplifying gives:
xe^x + 7 = (-6A x² + (12A - 6B) x + (6B + 4A + 6C - 7))e^x
The coefficients on the left-hand side of the equation are equal to the coefficients on the right-hand side. This gives the following system of equations:
-6A = 1
12A - 6B = 0
6B + 4A + 6C - 7 = 0
Solving this system of equations gives:
A = -1/6
B = -1/12
C = 5/36
D = 0
Thus, the form of the particular solution with undetermined coefficients is:
yp(x) = (-1/6)x²e^x - (1/12)xe^x + (5/36)x

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The zeros of a quadratic function are -7 and 3. Write the function in standard form.

Answers

The function in standard form is: f(x) = x² + 4x - 21

What is function?

A function is a rule that corresponds each input value from the domain to precisely one output value from the target set (called the range).

According to question:

If the zeros of a quadratic function are -7 and 3, then the function can be factored as follows:

f(x) = a(x + 7)(x - 3)

where a is a constant that determines the shape and size of the quadratic function.

To write the function in standard form (ax² + bx + c), we need to expand the factored form by multiplying the two factors:

f(x) = a(x + 7)(x - 3)

f(x) = a(x² - 3x + 7x - 21)

f(x) = a(x² + 4x - 21)

We can see that the function is now in standard form, where a = the coefficient of the x² term, b = the coefficient of the x term, and c = the constant term:

f(x) = a(x² + bx + c)

In this case, a = 1, b = 4, and c = -21, so the function in standard form is:

f(x) = x² + 4x - 21.

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Identify the following dilemmas as either constructive or destructive. Then suggest a refutation for each by escaping between the horns, grasping by the horns, or constructing a counterdilemma.
If the Mitchells get a divorce, they will live separately in poverty; but if they stay married, they will live together in misery. Since they must either get a divorce or stay married, they will either live separately in poverty or together in misery.

Answers

This is a false dilemma, also known as a black-and-white fallacy, which presents only two extreme options and assumes that there are no other alternatives.

In this case, the dilemma suggests that the only two choices for the Mitchells are to get a divorce or to stay married, and both options have negative outcomes. However, there may be other alternatives that are not considered in this dilemma, such as counseling, financial planning, or other ways to improve their relationship and financial situation.

A possible refutation could be constructing a counterdilemma, such as:

Are there no other alternatives for the Mitchells to consider besides getting a divorce or staying married? What if they sought professional counseling or financial advice to address their issues?

Are poverty and misery the only possible outcomes for the Mitchells if they get a divorce or stay married? What if they found ways to improve their financial situation or relationship while living apart or together?

By questioning the premise of the dilemma and considering other options, we can escape between the horns or grasp the situation by the horns and find a better solution.

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I will pick the brainiest! Thanks! :) Please give a real answer!

I will pick the brainiest! Thanks! :) Please give a real answer!

Answers

Answer:

14 or 26

Step-by-step explanation:

I think its 14 or 26 I'm not sure very sorry

Answer: 37 not 100% sure

Step-by-step explanation: so we know the the measurements of some of the sides on this shape, lets find the sides we don't know first.

so the first measurement is 7.5 we can put 7.5m on the side farthest to the left because there equal lengths and we could also put 7.5 on the line that draw to make two shapes.

so that right there is 7.5x3 = 22.5

now we add the existing measurements

22.5+ 4+2+.5 = 29m

now last we have to found the measurement of the bottom line of the shape. so we know the top line is 7.5 we can add the line .5cm to the top for it to be equal in length at the bottom. so 7.5+.5= 8, therefore the bottom line is 8m

29+8= 37m

again i am not completey sure this is correct but this is what i remeber when trying to find the perimeter of a polygon. goodluck :)!

weight of sheep,in pounds, at the Southdown sheep farm:









what is the range of weights of the sheep?

plz anwser asap I'm being timed​

weight of sheep,in pounds, at the Southdown sheep farm:what is the range of weights of the sheep?plz

Answers

Answer: 170

Step-by-step explanation:

275-105

what is the slope of the line that passes through the points (-2, -3) and (5,4) ? -3 3 -1 1

Answers

Answer:

\(\boxed{\textsf{ The slope of the line is \textbf{1}.}}\)

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (-2,-3) and (5,4) .As we know that the slope of the line is given by \(\tan\theta\)

Slope of a line is :-

\(\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}\)

On using this formula we can find the slope of the line .

Putting the respective values :-

\(\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ -3-4}{-2-5} \\\\\sf\implies Slope =\dfrac{-7}{-7}\\\\\sf\implies\boxed{\pink{\sf Slope = 1 }}\)

HELP! Which yd symbol is correct? I’m not sure which!!!

HELP! Which yd symbol is correct? Im not sure which!!!

Answers

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Evaluate the following integral using the trapezoidal rule (use only one interval) and Gauss- Quadrature (n=2). Compare your results with the exact values. Take gp1=-gp2 = 0.5773 and w1 = w2 = 1. 1 = ₀∫π/² Sin²x dx Exact: x/2 – sin(2x)/4

Answers

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

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Find the exact length of the third side .

Find the exact length of the third side .

Answers

Answer:

\(\sqrt{65}\)

Step-by-step explanation:

Pythagorean Theorem; a²+b²=c²

a = 4

b = 7

c = √65

hope this helped :)

Solve: 2(x+3)=x-4
Solve: 4(5x-2)=2(9x+3)

Answers

Answer:

x=-10

x=7

Step-by-step explanation:

2x+6=x-4

2x-x=-6-4

x=-10

20x-8=18x+6

20x-18x=6+8

2x=14

x=7

Answer:

\(2(x + 3) = x - 4 \\ 2x + 6 = x - 4 \\ 2x - x = - 4 - 6 \\ x = - 10\)

___o___o___

\(4(5x - 2) = 2(9x + 3) \\ 20x - 8 = 18x + 6 \\ 20x - 18x = 6 + 8 \\ 2x = 14 \\ \\ x = \frac{14}{2} \\ \\ x = 7\)

I hope I helped you^_^

Find the slope of the line that goes through the points:


(-1, 8) and (5, 3)

Answers

Answer:

Step-by-step explanation:

Slope:

\(\sf{\dfrac{y_2-y_1}{x_2-x_1}}\)

y2=3

y1=8

x2=5

x1=(-1)

3-8/5-(-1)

3-8=(-5)

5-(-1)=5+1=6

M=-5/6

The slope is m=-5/6.

R(x)=-3tan(1/2x)
What kind of reflection is this?
What is the vertical stretch factor?
What is the horizontal stretch factor?
What is the period?

Answers

The function R(x)=-3tan(1/2x) is a reflection about the x-axis, since the coefficient of the tangent function is negative.

The vertical stretch factor is 3, since it is the absolute value of the coefficient (-3) outside of the tangent function.

The horizontal stretch factor is 2, since it is the coefficient of x inside the tangent function, multiplied by 1/2.

The period is pi, since it is the distance between consecutive vertical asymptotes of the tangent function. This can be found by setting 1/2x equal to (n+1/2)pi or (n-1/2)pi, and solving for x, where n is an integer. The difference between these two values of x gives the period.

A bond yleided a real rate... A bond yieded a real rite of return of 3.87 percent for o time period when the infition rate was 2.75 percent. What was the actuai nominal rate of return?

8.28%
87.58%
7.77%
36%
6.77%

Answers

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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The circle graph shows how Emily spent one hour using her iPhone. How many minutes did Emily spend on research?

The circle graph shows how Emily spent one hour using her iPhone. How many minutes did Emily spend on

Answers

Answer:

6minutes

Step-by-step explanation:

There is 60minutes in an hour sooo using an online calculator 10% of 60minutes is 6minutes
10% because when you add up everything other than research you get 90%. 90% for everything other than research so 10% for research. They then want it in minutes and they let us know that she spent an hour on her iphone so as stated that's how it works


I dont mind brainlest

PLS HELP SO CONFUSED POSSIBLE BRANLIEST

The figure below shows the letter Z and four of its transformed images—A, B, C, and D:

A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.

Which of the four images was formed by a reflection of the letter Z?

A
B
C
D

Answers

Answer: The correct answer is A.

Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.

A

give the other brainliest

Explain how the uncertainty of a measurement relates to the accuracy and precision of the measuring device. Include the definitions of accuracy and precision in your answer.

Answers

In the context of measurement, accuracy and precision refer to two related but distinct concepts. Accuracy is the degree to which a measurement is close to the true value of what is being measured, while precision is the degree to which repeated measurements of the same quantity are close to each other.

The uncertainty of a measurement refers to the degree of doubt or lack of confidence in the result obtained from a measuring instrument. It is typically represented by an interval around the measured value that indicates the range within which the true value is likely to lie.

The accuracy of a measuring device is related to its ability to provide measurements that are close to the true value. If a measuring device is highly accurate, then its measurements will be close to the true value, and the uncertainty associated with those measurements will be relatively small. On the other hand, if a measuring device is not very accurate, then its measurements may be far from the true value, and the uncertainty associated with those measurements will be relatively large.

The precision of a measuring device is related to its ability to provide measurements that are close to each other when measuring the same quantity repeatedly. A measuring device that is highly precise will give measurements that are very close to each other, and the uncertainty associated with those measurements will be relatively small. Conversely, a measuring device that is not very precise will give measurements that are far apart, and the uncertainty associated with those measurements will be relatively large.

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pg 558selling online according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year.15 assume the conditions for inference are met. determine the critical value z* for a 98% confidence interval for a proportion. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year. interpret the interval from part (b).

Answers

The true proportion of all American adults who would report having earned money by selling something online in the previous year lies between 0.178 and 0.221.

A confidence interval is computed from the sample data and provides a range of values within which the true population parameter is expected to lie. The confidence level is the probability that the confidence interval contains the population parameter.

Using this critical value, we can construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year. To do this, we use the formula:

confidence interval = sample proportion ± z* (standard error)

The sample proportion is the number of adults who reported earning money by selling something online (914) divided by the total sample size (4579), which gives us a proportion of 0.1997.

The standard error is calculated as:

standard error = √ [(sample proportion)(1 - sample proportion) / sample size]

Substituting the values, we get:

standard error = √ [(0.1997)(1 - 0.1997) / 4579] = 0.009

Plugging in the values, we get:

confidence interval = 0.1997 ± 2.33(0.009)

This gives us a confidence interval of 0.178 to 0.221.

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Students in a statistics class took their second test. The following are the scores they earned. Create a frequency distribution and histogram for the data using a lower class limit of 49.5 and a class width of 10. Describe the shape of the distribution.b) For this one the class width is given to be the following: class width =c.)Complete the frequency/relative frequency table using the given class width. Round relative frequencies to 3 decimal places.I've screen shot the problem.

Students in a statistics class took their second test. The following are the scores they earned. Create

Answers

Part b

From the given information, we can to note that the class width is 10. The class width refers to the difference the upper and lower boundaries of any class. Therefore, the answer fo part b is. Class widh = 10

Part c

Now, lets complete the relative frequency table.

The classes are given by:

For the first class (49.5, 59.5), there are 10 numbers.

For the second class (59.5,69.5), there are 8 numbers.

For the third class (69.5,79.5), there are 4 numbers

For the fourth class (79.5,89.5) there are 2 numbers

For the fifth class (89.5,99.5) there is 1 number.

Then, the frequency column is given by:

On the other hand, the relative frequency is defined as the frequency divided by the total number of events ocurring. In our case, the total number is 10+8+4+2+1= 25. Then, the relative frequency for the first row is:

\(\frac{10}{25}=0.4\)

For the second row

\(\frac{8}{25}=0.32\)

3rd row:

\(\frac{4}{25}=0.16\)

4th row:

\(\frac{2}{25}=0.08\)

and 5th row:

\(\frac{1}{25}=0.04\)

Then, the complete table is:

Therefore, the histrogram representing this table is:

corresponding to the third option from top to bottom.

As we can note from the histogram, its shape is right skewed because has a long right tail. So, the answer for part d is: Right skewed

Students in a statistics class took their second test. The following are the scores they earned. Create
Students in a statistics class took their second test. The following are the scores they earned. Create
Students in a statistics class took their second test. The following are the scores they earned. Create
Students in a statistics class took their second test. The following are the scores they earned. Create

if mr.s rivas has 256 donust and she needs to give the same amount of dounts to her 5 freinds

Answers

Answer:

256/5=51.2

Step-by-step explanation:

Answer:

51 with a remainder of one, or 51.2

Step-by-step explanation:

She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.

5 | 256

Look at the first term. Does 5 go into 2? No. Bring down the next term.

5|256

  25

Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.

5|256 = 5

  25

Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).

5|256 = 5

  25

 -25

     06

Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.

5|256 = 51

  06

   -5

     1

Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.

If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.

So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.

I think of a number add seven and multiply by four I get the same answer if I divide my number by two and add twenty one what’s my number ?

Answers

Answer:

your number is 4

Step-by-step explanation:

4x+7=(x:2)+21

4x +7=0.5x + 21

3.5x +7=21

21-7=14

14:3.5=4

Somebody please help! And show your work!

Somebody please help! And show your work!

Answers

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

ILL GIVE BRAINLIEST PLS HELP ME

ILL GIVE BRAINLIEST PLS HELP ME

Answers

Answer:

1 and 4 come in yes and 2 and 3 come into no mark as brainliest

1, 4 = yes
2,3 = no
hope i helped !

Two towers are constructed, each by stacking 30 segments of concrete vertically. The height (in inches) of a randomly selected segment is uniformly distributed in the interval (35.5, 36.5). A roadway can be laid across the 2 towers provided the heights of the 2 towers are within 4 inches of each other. Find the probability that the roadway can be laid. Be careful to justify the steps in your argument, and state whether the probability is exact or approximate.

Answers

Answer:  The probability that the roadway can be laid across the two towers is approximately 0.9564

To find the probability that the roadway can be laid across the two towers, we'll consider the height distribution of each tower and the condition that their heights must be within 4 inches of each other.

1. Define the random variables and their distributions: Let X and Y be the heights of the two towers, respectively. Since the height of each concrete segment is uniformly distributed in the interval (35.5, 36.5), the mean height of a segment is  \(\frac{35.5+36.5}{2}= 36 inches\).

2. Calculate the mean and standard deviation: Each tower has 30 segments, so the mean height of each tower is

30 * 36 = 1080 inches. Since the height of each segment follows a uniform distribution, the variance of a single segment is \(\frac{(36.5-35.5)^{2}}{2}= \frac{1}{12}\),  and the standard deviation is sqrt(1/12) inches. For 30 segments, the variance of each tower's height is \(30(\frac{1}{12})\) , and the standard deviation is  \(\sqrt{30(\frac{1}{12})\) inches.

3. Determine the difference between the two tower heights:

Let , \(Z = X - Y\) which represents the difference in heights between the two towers. Z has a mean of 0 and a variance of \(30(\frac{1}{12})+30(\frac{1}{12})= 5 inches\) , so its standard deviation is \(\sqrt{5}\) inches.

4. Calculate the probability of the towers' heights being within 4 inches: To find the probability that the roadway can be laid, we need to find P(-4 <= Z <= 4). We can standardize Z to find the corresponding probabilities using a standard normal distribution, denoted by W.

5. Standardize Z: \(W= \frac{Z-mean(Z)}{std_dev(Z)} = \frac{Z-0}{\sqrt{5} }\)

We want to find \(P(\frac{-4}{\sqrt{5} }  <= W <= \frac{4}{\sqrt{5} } ).\)

6. Use the standard normal table or a calculator: To find the probability of the standardized difference falling within the specified range, you can refer to a standard normal table or use a calculator with a built-in normal distribution function.  \(P(\frac{-4}{\sqrt{5} }  <= W <= \frac{4}{\sqrt{5} } ).\) is approximately 0.9564.

The probability that the roadway can be laid across the two towers is approximately 0.9564, which is an approximate value obtained using the standard normal distribution.

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8/28 = a/7 solve proportion

Answers

Answer:

2/7 = a/7

a = 2

8/28 = a/7 solve proportion
8/28 = a/7 solve proportion

what two numbers multiply to be -56 and add up to be -1?

Answers

Answer:

-8 and 7 is the answer

-8*7 is -56

and -8+7 is -1

-8 and 7
7-8= -1 and (-8)x(7)=-56

Given line x is parallel to line y and m∠2 = 23°. What is m∠7? 23° 67° 157°

Given line x is parallel to line y and m2 = 23. What is m7? 23 67 157

Answers

Answer:

The answer is 157

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

just took the test ;)

Solving Ratio Problems (continued)

2. A) How many litres of each colour could Kylie have started with?

b) How many litres of each colour could Kylie have added?

Kylie is mixing paint to get the colour she wants for her apartment.

She mixed 5 parts blue to 3 parts yellow but did not like the result. The colour didn't look yellow enough.

Kylie added a little more blue to the mixture. Then she added 5 times as much yellow as she did blue. The end result had blue and yellow in a ratio of 3: 4. Kylie liked the new colour.

Answer each question. Show your thinking.

List more than one possibility, if there is more than one, for questions 2a) and b).

1. Why is the new colour more yellowy than the first colour?

Answers

Kylie changed the ratio of blue to yellow in her paint mixture from 5:3 to 3:4, making the colour more yellowy. She could have started with either 3.5 litres of blue and 2.1 litres of yellow, or 7 litres of blue and 4.2 litres of yellow. She could have added either 0.7 litres of blue and 3.5 litres of yellow, or 1.4 litres of blue and 7 litres of yellow to achieve the new ratio.

The new colour is more yellowy than the first colour because the ratio of blue to yellow has changed. Initially, the ratio was 5:3, or 5 parts blue to 3 parts yellow. After Kylie added more blue and 5 times as much yellow than blue, the ratio changed to 3:4, or 3 parts blue to 4 parts yellow. This means yellow is now the majority colour, which makes the final colour more yellowy than the first.

To calculate the amount of blue and yellow in the new mixture, we can use the equation:

Blue : Yellow = 3 : 4

Therefore, the amount of blue needed is 3/7 of the total, and the amount of yellow is 4/7 of the total.

2a) How many litres of each colour could Kylie have started with?

Possibility 1: Kylie could have started with 3.5 litres of blue and 2.1 litres of yellow (3.5 : 2.1 = 5 : 3).

Possibility 2: Kylie could have started with 7 litres of blue and 4.2 litres of yellow (7 : 4.2 = 5 : 3).

2b) How many litres of each colour could Kylie have added?

Possibility 1: Kylie could have added 0.7 litres of blue and 3.5 litres of yellow (0.7 : 3.5 = 3 : 4).

Possibility 2: Kylie could have added 1.4 litres of blue and 7 litres of yellow (1.4 : 7 = 3 : 4).

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Please show your work.

Please show your work.

Answers

W= 53
Y=39
X=127
Hope this helps!
Please show your work.

how many frequent flyer program members are reported in newspaper quintile v? remember to report your answer with regards to the (000) format!

Answers

The number of frequent flyer program members in newspaper quintile V.

The information related to that specific quintile.
Unfortunately, you didn't provide the required data to calculate the number of frequent flyer program members in newspaper quintile V.

To understand what the given data represents.

Since the question is asking for the number of frequent flyer program members in newspaper quintile V.

The data is provided, I will guide you through a step-by-step process to find the answer and ensure that it is reported in the (000) format, as you requested.

Please provide the relevant data, and I'll be more than happy to help you calculate the answer.

Once the information is given, I will walk you through a step-by-step procedure to identify the solution and make sure it is presented in the (000) format, as you asked, when I have the data.

Comprehend what the provided data means.

Given that the number of frequent flyers programmed members in newspaper quintile V is the subject of the issue.

Information pertinent to that particular percentile.

Unfortunately, you didn't supply the information needed to determine how many people in newspaper quintile V are members of frequent flyer programmed.

The pertinent information, and I'll be pleased to assist you in coming up with the solution.

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