Answers
Answer:
\(4(x-5)>8\)
Step-by-step explanation:
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ILL GIVE YOU BRAINLIEST PLS HELP ME Tyy Algebra
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A school choir needs to make T Shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on shirts. Which equation represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order. D = 3T + 50C D = 3(75) + 50C D = 3(75) + 50 D= 3(75)
Answers
Answer:
D = 3(75) + 30CStep-by-step explanation:
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
If the printing company charges $50 fee for each color to be printed on shirts, then the total number of colours on the short will cost $30C.... 2
where C is the total amount of colours on all the shirts.
The equation that will represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order will be gotten by taking the sum of equation 1 and 2.
The equation needed will be 3(75) + 30C where C is the total amount of colours on all the shirts ordered.
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Considerthe population pof deer in salt lake county as a function of time t, where tis the number of years after 1990.what values are in the range of this function?
Answers
The values in the range of the function are the population of deer after 1990
How to determine the values in the range of the function?The function is given as:
Population of deer as a function of time t
Where t represents the number of years after 1990.
This means that:
The population is the population of deer after 1990
Hence, the values in the range of the function are the population of deer after 1990
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How to solve this I don’t know how to solve it myself
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1. Write the equation in standard form:
\(\begin{gathered} \text{Add 156 in both sides of the equation:} \\ -4x^2-40x+156=-156+156 \\ \\ -4x^2-40x+156=0 \end{gathered}\)2. Identify the coefficients a, b and c:
\(\begin{gathered} ax^2+bx+c=0 \\ \\ \text{For the given equation:} \\ a=-4 \\ b=-40 \\ c=156 \end{gathered}\)3. Substitute the values into the quadratic equation:
\(x=\frac{-(-40)\pm\sqrt[]{(-40)^2-4(-4)(156)}}{2(-4)}\)4. Solve the equation for x1 and x2:
\(\begin{gathered} x_{}=\frac{-(-40)\pm\sqrt[]{(-40)^2-4(-4)(156)}}{2(-4)} \\ \\ x_{}=\frac{40\pm\sqrt[]{1600+2496}}{-8} \\ \\ x=\frac{40\pm\sqrt[]{4096}}{-8} \\ \\ x=\frac{40\pm64}{-8} \\ \\ \\ x_1=\frac{40-64}{-8}=\frac{-24}{-8}=3 \\ \\ x_2=\frac{40+64}{-8}=\frac{104}{-8}=-13 \end{gathered}\)Exact form and approximate form are the same for both solutions (x1 and x2):
\(\begin{gathered} x_1=3 \\ \\ x_2=-13 \end{gathered}\)Show that a dilation by a factor of r takes any vector to r times itself. Hint: View the vector as the difference between two points.
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A dilation by a factor of r takes any vector to r times itself. This can be shown by viewing the vector as the difference between two points and applying the definition of dilation.
To show that a dilation by a factor of r takes any vector to r times itself, we can start by considering a vector as the difference between two points, let's call them point A and point B. Let's assume the vector is represented by AB.
Now, when we dilate AB by a factor of r, the new vector will be r times AB. This is because dilation involves stretching or shrinking the vector by the given factor. Since AB represents the difference between two points, when we stretch or shrink it by r, we are essentially scaling each component of AB by r.
Therefore, the resulting vector after dilation is r times AB, which means the dilation takes any vector to r times itself.
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Mary and her father went on an all-day ride in the car. They traveled 3 times as far in the afternoon as they did in the morning. At the end of the day, they had traveled 420 miles. How far did they travel in the morning?
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Mary and her father traveled 105 miles in the morning.
What do we mean by equations?The definition of an equation in algebra is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So, from the equation:
Let, the distance traveled in the morning be 'x'.Then, automatically the distance traveled in the afternoon will be '3x'.Total distance = 420 miles.Then, solve as follows:
3x + x = 4204x = 420x = 420/4x = 105Therefore, they traveled 105 miles in the morning.
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What is the value of 112.08-47.1
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i got 64.98 i really hope this helps :)
Find the volume of the cone.
Either enter an exact answer in terms of pie or use 3.14 for pie and round your final answer to the nearest hundredth.
units
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The volume of the cone is V = (1/3)πr^2h.
To find the volume of a cone, we need to use the formula V = (1/3)πr²h, where r is the radius of the circular base and h is the height of the cone. The value of π can be either left in exact form or approximated to 3.14. To round the final answer, we need to use the appropriate units of measurement.
Let's assume that we have a cone with a radius of 4 cm and a height of 6 cm. Using the formula V = (1/3)πr²h, we can calculate the volume of the cone as follows:
V = (1/3)πr²h
V = (1/3)π(4)²(6)
V = (1/3)π(16)(6)
V = (1/3)π(96)
V = 32π
Since the question asks us to round the final answer to the nearest hundredth, and assuming that the units are in cubic centimeters (cm^3), we need to approximate π to 3.14 and round the answer to two decimal places. Therefore, the final answer is:
V ≈ 100.53 cm³
Note that we rounded the answer to two decimal places because the question asked us to round to the nearest hundredth. Also, we included the appropriate units of measurement (cubic centimeters) to indicate that the answer is a volume.
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Solve the system of equations by elimination.
2x - y + 3z=-1
x + 2y - 4z=-1
y – 2z=0
Answers
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
4. Create an equation for a 6th degree polynomial that only has the zeros of x=5, -4, -6, 1 with a y-intercept of 3600. Explain how you found your equation.
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Since the y-intercept of the polynomial must be 3600, then:
\(p(0)=3600\)Since the only zeroes of the polynomial must be x=5, -4, -6 and 1, then the factors of the polynomial, are:
\(\begin{gathered} (x-5) \\ (x+4) \\ (x+6) \\ (x-1) \end{gathered}\)Let the multiplicity of the factor (x-1) be equal to 3 and let the multiplicity of the rest of the factors to be equal to 1. Then:
\(p(x)=a(x-5)(x+4)(x+6)(x-1)^3\)Where a is a constant. Notice that the degree of that polynomial is 6. Evaluate it at x=0 to find the value of a that makes the y-intercept to be equal to 3600:
\(\begin{gathered} p(0)=a(0-5)(0+4)(0+6)(0-1) \\ =a(-5)(4)(6)(-1) \\ =120a \end{gathered}\)Since p(0)=3600, then:
\(\begin{gathered} 3600=120a \\ \Rightarrow a=\frac{3600}{120} \\ \Rightarrow a=30 \end{gathered}\)Therefore, the following polynomial is a 6th degree polynomial with zeroes at the values of 5, -4, -6 and -1 with a y-intercept equal to 3600:
\(p(x)=30(x-5)(x+4)(x+6)(x-1)^3\)You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. A perfect square is chosen.
Answers
Answer:
The answer is 0.02
Step-by-step explanation:
1/50=0.02
What is the value of 3-2
Answers
Answer:
1
Step-by-step explanation:
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The bottlers of the new soft drink "Guzzle" are experiencing problems with the filling mechanism for their 16oz bottles. To estimate the population standard deviation of the volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1oz. Compute a 95% confidence interval for the standard deviation; assuming normality.
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The required answer is the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.
Based on the given information, the bottlers of "Guzzle" are experiencing issues with the filling mechanism for their 16oz bottles. To estimate the population standard deviation of the volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1oz.
To compute a 95% confidence interval for the standard deviation, we can use the formula:
CI = ( (n-1) * s^2 / X^2_α/2, (n-1) * s^2 / X^2_1-α/2 )
Where CI is the confidence interval, n is the sample size (in this case, 20), s is the sample standard deviation (0.1oz), X^2_α/2 is the chi-squared value for the upper tail of the distribution with α/2 degrees of freedom (where α = 0.05 for a 95% confidence interval), and X^2_1-α/2 is the chi-squared value for the lower tail of the distribution with 1-α/2 degrees of freedom.
Using a chi-squared table or calculator, we can find that X^2_α/2 = 31.410 and X^2_1-α/2 = 10.117.
Plugging in the values, we get:
CI = ( (20-1) * 0.1^2 / 31.410, (20-1) * 0.1^2 / 10.117 )
Simplifying, we get:
CI = (0.0054, 0.0197)
Therefore, we can say with 95% confidence that the population standard deviation of the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.
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if you are selecting 2 cards from the standard deck of cards without replacement, what is the probability that both cards will be a jack(j)?
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The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045.
The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is because there are 52 cards in a standard deck, and there are 4 jacks. Therefore, the probability of selecting one jack is 4/52, or 1/13. When selecting without replacement, the probability of selecting the second jack is 3/51, since one of the jacks has already been chosen. Multiplying the two probabilities together gives us the probability of selecting two jacks without replacement: 4/52 x 3/51 = 12/2652 = 1/221. This means that the probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is a very low probability, which means that it is unlikely that two jacks will be chosen in a single selection.
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He scored 3 goals at Saturdays gams and scored 5 goals in yesterdays game . What is his percent of increase?
Answers
Answer: his percent of increase = 66.66%
Step-by-step explanation:
percent of increase = Increase/ Previous goal x 100
Previous goal = 3 goals
Yesterday's goal = 5 goals
Percent of increase = (5-3) / 3 x 100
=2/3 x 100
=0.6666 x 100
=66.66%
10TH GRADE MATH: Central Angles 5 question pretest. 20 POINTS
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The value of x is 17
The congruent arcs are (b) PQ and SR
The radius is 12 units
The value of PQ is 4
The length YZ is 19 units
How to calculate the value of xIn this question, we make use of the property of congruent sides
So, we have
3x - 24 = x + 10
When evaluated, we have
2x = 34
Divide by 2
x = 17
Identifying the congruent arcsBy the definition of congruent arcs, congruent arcs are arcs that have equal measures
In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR
Calculating the radiusThe radius of the circle is calculated as
r² = (25 + r)² - 35²
When expanded, we have
r² = 625 + 50r + r² - 1225
So, we have
50r = 600
Divide both sides by 50
r = 12
How to calculate the value of PQIn this question, we make use of the property of congruent sides
So, we have
PQ = SR
Where
SR = 4
When evaluated, we have
PQ = 4
Calculating the length of YZThe length of YZ in the circle is calculated as
YZ² = (9 + 8)² + 8²
So, we have
YZ² = 17² + 8²
When expanded, we have
YZ² = 289 + 64
So, we have
YZ² = 353
Take the square root of both sides
YZ = 19
Hence, the length YZ is 19 units
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A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16m/s. In the water, it had an average speed of 3m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
Answers
Answer:
it fell for 9 seconds in the air and 3 in the water
Step-by-step explanation:
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!!! PLEASE ASAP!!
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this is very important... its for alegbra.. please help
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Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
\((x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\\)
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
Solve the equation for x. 7- x= 12
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Graph the system below and write its solution.
2x+y=4
1
y =
2*-1
Note that you can also answer "No solution" or "Infinitely many" solutions.
.
Solution:
?
No
solution
Infinitely
many
(0,0)
0
5
?
Answers
Answer:
2x+y=4
2times-1 is -2
2x+-2=4
2x=4
x=2
John plans to make a rectangular garden plot with a length of 2x + 3 feet and a width of x + 2 feet.
- What is the perimeter of the garden?
Answers
Answer: 6x+10 ft
Step-by-step explanation: To find the perimeter, all you have to do is add up all the sides. So that would be x+2+x+2+2x+3+2x+3. That is 2x+4+4x+6. And the final answer is 6x+10.
what factor is used to convert feet per minute into miles per minute =63,756
70min
Answers
The factor used to convert feet per minute into miles per minute =63,756 70min is
10.35 miles per hour
What factor is used to convert feet per minute into miles per minute =63,756 70min?Generally, the equation for is mathematically given as
x=63,756 ÷ 70
x= 910.8 ft.
y=910.8 · 60
y= 54,648 ft.
z=54,648 ÷ 5280
= 10.35
In conclusion, One mile equals 5,280 feet. To convert from feet per minute to miles per hour, just divide the number by 5280.
Each hour consists of 60 minutes. The formula for converting miles per minute to miles per hour is simply to divide the number by 60.
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Any help on this question please?
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Hope this helps :) I like your profile picture!
Answer:
C. 20
Step-by-step explanation:
Since 11 times 4 = 44, you can multiply your 5 by 4 to get 20.
one leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 15cm.
A)write an equation that relates the lengths of the sides of the triangle.
b)find the dimensions of the triangle.
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An equation that relates the lengths of the sides of the triangle is (2 + y)² + y² = 15².
The dimensions of this triangle are 9.56 cm by 11.56 cm by 15 cm.
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):
x² + y² = z²
Where:
x, y, and z represents the length of sides or side lengths of any right-angled triangle.
Based on the information provided about the side lengths of this right-angled triangle (one leg is 2 feet longer than the other leg), we have the following equation:
x = 2 + y
By substituting the side lengths and solving the quadratic equation, we have:
x² + y² = z²
(2 + y)² + y² = 15²
4 + 4y + y² + y² = 225
2y² + 4y - 221 = 0
y = 9.56 cm or y = -11.56 cm
x = 2 + y = 2 + 9.56 = 11.56 cm.
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Please. need answers now.. please please
Answers
Answer:
y = (5x+7)/2
Step-by-step explanation:
5x-2y+7 = 0
add 2y to each side
5x+7 = 2y
divide both sides by 2
y = (5x+7)/2
Sally spent $36 and had $12 left. what percent of her money did she spend
Answers
Answer:
33.33...%
Step-by-step explanation:
Fast and easy method: Money left ÷ money had × 100
Divide 12 by 36: \(\frac{12}{36}\)
Multiply to 100: \(\frac{12}{36}\times \frac{100}{100}\)
Simplify: \(\frac{12}{36}\times \:1\)
\(\frac{1}{3}\times \:1\)
\(\frac{1}{3}\)
1/3 is 33.33... in decimal form.
Evaluate the following expression:
25x(x - 4) when x = -1
Answers
Explanation:
25x(x-4) when x = -1
25(-1)(-1-4)
= (-25)(-5)
= 125
Name five large cities and their population also find their distance in kilometres between each pair of the cities
Answers
The five large cities in India are:
BangaloreMumbaiNew DelhiHyderabadKolkataThe population of large cities in India are:
The Current population of Bangalore is 11,556,907The Current population of Hyderabad is 8.7 million.The Current population of Kolkata is 5 million.The Current population of Delhi is 25 million.The Current population of Mumbai is 21 million.The distance between the large cities in India are:
The distance between Bangalore to Hyderabad is 575 kmThe distance between Mumbai to Delhi is 1136kmThe distance between Kolkata to Hyderabad is 1192km.Read more about India city
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