Diego is buying shrimp and rice to make dinner. Shrimp
costs $6.20 per pound and rice costs $1.25 per pound.
Diego spent $10.55 buying shrimp and rice.
The relationship between pounds of shrimp s, pounds
of rice r, and the total cost is represented by the
equation 6.20s + 1.25r= 10.55.
Write an equation that makes it easy to find the number
of pounds of rice if we know the number of pounds of
shrimp purchased.

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

A linear model has the following form:

y = mx + b

Where m is the slope and b is the vertical intercept

The slope of a linear model is calculated by means of the following formula:

Where y is the cost and x is the amount of waste, we know that the service cost is 2248 dollars for 100 kg of waste and 2798 dollars for 125 kg of waste, by replacing these values into the above equation we get:

Then, the slope of the line is 22

By replacing 22 for m into the general model, we can rewrite it to get:

y = 22x + b

By replacing 2798 for y and 125 for x we can solve for b to get:

2798 = 22(125) + b

2798 = 2750 + b

2798 - 2750 = 2750 - 2750 + b

48 = b

b = 48

Then, the vertical intercept of the line is 48

The linear model for the cost, C, of waste collection as a function of the number of kilograms, w would be:

C = 22w + 48

Answer:

0.19 = 19/100

19/100 = 19%

Step-by-step explanation:

take 0.19 x 100 = 19

that's where u get 19% and 19 over 100 from.

Answer:

0.19 = 19/100 = 19%

Step-by-step explanation:

1. Start with 0.19 (the given)

2. Read it out loud "19 hundredths"

3. Write down 19 out of 100 because that's what you said in the last step (if it were "0.3" you would write "3/10" because you read it as "three tenths"

4. Check if you can simplify. In this case you cannont

5. If the fraction is out of 100 (which in this case it is) simply write the numerator as the percent "19" is the numerator and it IS out of 100. You would write 19%

9514 1404 393

Answer:

  y = ∛(x -4) -1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...

  y = ∛(x -4) -1

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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The factored form of the expression

\(9u^2 + 30uv + 100v^2 \ is\ 3u(3u + 4v) + 5v(5v + 6u).\)

The expression \(9u^2 + 30uv + 100v^2\)is a quadratic trinomial. It can be factored using the following steps:

Step 1: Look for common factors, if any. In this case, there are no common factors.

Step 2: Multiply the coefficient of the first term by the coefficient of the last term. In this case, that would be

9 x 100 = 900.

Step 3: Find two numbers whose product is the same as the result from step 2, and whose sum is the coefficient of the middle term. In this case, we need to find two numbers whose product is 900 and whose sum is 30. The numbers are 20 and 45.

Step 4: Rewrite the expression as the sum of two terms, using the two numbers from step 3.

\(9u^2 + 30uv + 100v^2 = 9u^2 + 20uv + 25uv + 100v^2\)
Step 5: Factor out the greatest common factor from each pair of terms. In this case, the GCF of the first two terms is 3u, and the GCF of the last two terms is 5v. So, we can rewrite the expression as follows:

\(9u^2 + 20uv + 25uv + 100v^2 = 3u(3u + 4v) + 5v(5v + 6u)\)

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Answer:

x = 30°

y = 60°

z = 96°

Step-by-step explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.

The rectangle \(R\) is the set

\(R = \{(x,y) \mid 0 \le x \le 2 \text{ and } -1 \le y \le 1\}\)

The average value of \(f(x,y)\) over \(R\) is the ratio of the integral of \(f\) over \(R\) to the area of \(R\).

\(f_{\rm ave} = \dfrac{\displaystyle \iint_R f(x,y) \, dA}{\displaystyle \iint_R dA}\)

The rectangle is 2-by-2, so its area is

\(\displaystyle \iint_R dA = 2\times2 = 4\)

Integrate \(f\).

\(\displaystyle \iint_R xy^2 \, dA = \int_{-1}^1 \int_0^2 xy^2 \, dx \, dy \\\\ ~~~~~~~~ = 2 \int_{-1}^1 y^2 \, dy \\\\ ~~~~~~~~ = 4 \int_0^1 y^2 \, dy = \frac43\)

Then the average value of \(f\) is

\(f_{\rm ave} = \dfrac{\frac43}4 = \boxed{\dfrac13}\)

Answer:

B. 80°

Step-by-step explanation:

55+45=100

180-100=80

Q=80°

Answer:

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.575.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 2.575\frac{10}{\sqrt{100}} = 2.575\)

Rounding to one decimal place, the margin of error is 2.6.

The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.

The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Answer:

3:2

Step-by-step explanation:

to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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Answer:

A, B, and E. Hope this helps!

Answer:

5x + 2y = - 26

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) ) , m

y - \(y_{1}\) = m ( x - \(x_{1}\) )

~~~~~~~~~~~~~~~~

( - 8 , 7 ) , m = - \(\frac{5}{2}\)

y - 7 = - \(\frac{5}{2}\) ( x - ( - 8 ) )

y + \(\frac{5}{2}\) x = 7 - 20

5x + 2y = - 26

Answer:

0.88

Step-by-step explanation:

Answer:

f(x)=g(x) is the only answer

Step-by-step explanation:

Answer:

wut...

Step-by-step explanation:ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡

Answer:

86 :)

Step-by-step explanation: the bear =7, the controller=11, and the

penguin = 9 so 11x7+9 =86

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.

The function is f(x)= e^x + 1/3x

To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.

Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.

Which is equal to f(11) = e^11 + 11/3

f(11) = 59874.141715198 + 3.6666666667

f(11) = 59877.808381865

f(11) ≈ 59877.808

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Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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Complete question is;

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2005 and 2006 are as follows:

2005 Season: 73 77 78 76 74 72 74 76

2006 Season: 70 69 74 76 84 79 70 78

​A) Calculate the mean (to the nearest whole number) and the standard deviation (to decimals) of the golfer's scores, for both years.

B) What is the primary difference in performance between 2005 and 2006? What improvement,

if any, can be seen in the 2006 scores?

Answer:

A) 2006 mean = 75

2005 mean = 75

2006 standard deviation = 5.2644

2005 standard deviation = 2.0702

B)The primary difference is that variation is higher in the 2006 season than the 2005 season.

Step-by-step explanation:

A) Mean is the sum of all scores divided by the number of scores.

Thus;

μ_2005 = (73 + 77 + 78 + 76 + 74 + 72 +74 + 76)/8 = 75

Similarly;

μ_2006 = (70 + 69 + 74 + 76 + 84 + 79 + 70 + 78)/8 = 75

Now, variance is calculated by the sum of the square of mean deviations divided by (n - 1)

Thus;

2005 Variance = ((73-75)² + (77-75)² + (78-75)² + (76-75)² + (74-75)² + (72-75)² + (74-75)² + (76-75)²)/(8-1) = 4.2857

2006 Variance = ((70-75)² + (69-75)² + (74-75)² + (76-75)² + (84-75)² + (79-75)² + (70-75)² + (78-75)²)/(8 - 1) = 27.7143

Now, standard deviation is the square root of variance.

Thus;

2005 standard deviation = √4.2857 = 2.0702

2006 standard deviation = √27.7143 = 5.2644

B) The primary difference is that variation is higher in the 2006 season than the 2005 season.

Also,

Answer:

Answer: 6,240

Step-by-step explanation:

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

Answer:

Step-by-step explanation:

The first answer is correct

Answer:

C

Step-by-step explanation:

Each slope down in the graph represents a drink. so the first drink ended at 30 sec and the second one started at 60 sec so he waited 30 sec inbetween.