What is the length of PR

What Is The Length Of PR

Answers

Answer 1

Answer:

B 7

Step-by-step explanation:

Since the triangles are similar by AAA

We can use ratios to find the length x (which is PR)

5                 15

-------- = ------------

x               21


Using cross products

5 * 21 = 15 *x

Divide each side by 15

5/15 * 21 = 15x/15

1/3 * 21 =x

7 =x

Answer 2

Answer:


here is how i did it.


What Is The Length Of PR

Related Questions

Merideths brother, miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine their ages. How old are they?

Answers

Answer:


Step-by-step explanation: Do 24 / 3 is 8

and to check your work do 8 x 3 which is 24

Hope This Helps ^_^


A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 40 minutes. If both computers are working together, how long will it take them to do the job? Do not do any rounding.

Answers

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

To find the LCM of 40 and 60

LCM (40, 60) = 120

To find efficiency of 2 computers

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

To find the time taken to work both the computer together

time = 120/5 = 24 minutes

Final answer:

The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.

Explanation:

The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.

When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.

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The sum of two numbers is 64 and the difference is 12 what are the numbers

Answers

Final answer:

This question can be solved by using simple algebra to set up equations based on the given conditions. We found that the two numbers are 38 and 26.

Explanation:

To discover the two numbers, we will use a mathematical approach based on the problem. If we denote the larger number as 'x' and the smaller number as 'y', we have two equations based on the statement: 'x + y = 64' and 'x - y = 12'. You can solve this system of equations by adding these two equations together to eliminate 'y'. This operation will give you the result '2x = 76'. Upon dividing both sides of the equation by 2 you find that 'x = 38'. To find 'y', you subtract 38 from 64 based on the summation equation, yielding the result 'y = 26'. So, the two numbers are 38 and 26.

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Final answer:

The sum of the two numbers is 64, and the difference is 12. By setting up and solving a system of equations, we find that the two numbers are 38 and 26.

Explanation:

To find the two numbers, let's set up a system of equations:

Let x be one of the numbers, and y be the other number.

We can write two equations based on the given information:

x + y = 64 (sum of two numbers is 64)

x - y = 12 (difference of two numbers is 12)

To solve this system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can add the two equations:

(x + y) + (x - y) = 64 + 12

2x = 76

x = 38

Substituting the value of x into one of the equations:

38 + y = 64

y = 26

Therefore, the two numbers are 38 and 26.


Choose the graph below that correctly represents the equation 3x + 9y = −18.
pls hurry

Answers

Answer:

B

Step-by-step explanation:

Graph the line by first using slope and y- intercept

Slope=-1/3

y-intercept =-2

(0,-2)

(1,-7/3)

Then graph those two points and that graph is B

Answer:

B    Please give brainliest

Step-by-step explanation:

I took points from the line and put it into the equation.  

(0,-2)

3(0) + 9(-2) = -18   (This works out)


Next....

(-3,-1)

3(-3) + 9(-1) = -18   (This also works)

To solve -3 = -19 + b 5 What step would you use

Answers

Answer:

When you say b 5, do you mean b+5?

Step-by-step explanation:


Lanny’s credit card has an apr of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below. What is the new balance at the end of month 7?
A. $83.39
B. $91.98
C. $99.00
D. $74.43

Answers

The answer is A ( $83.39 )

Answer:

Option A - $83.39

Step-by-step explanation:

Given : Lanny’s credit card has an APR of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below.

To find : What is the new balance at the end of month 7?    

Solution :  

From the table, the information of 7 month

Previous balance = $74.33

Payment = $91.98

Unpaid balance = Previous balance - Payments

                          = $74.33 - $91.98

Unpaid balance  = -$17.65

Finance charge = $2.04

New charges = $99

New balance =  Unpaid balance + finance charge + new charges

New balance =  -$17.65 +$2.04+ $99

New balance =$83.39

Therefore, Option A is correct.

you need at least 5000 points to earn a gift card from your bank. you currently have 2700 pints.

Answers

Answer:

see below   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

A) 5000 - 2700 = 2300 points needed

B) 2700 + 400 = 3100

  the inequality would change to:

  5000 - 3100 = 1900 points needed

The student needs to accumulate an additional 2300 points to reach the 5000-point requirement for a gift card from the bank. They currently have 2700 points.

Calculating Points Needed for a Reward

To calculate how many more points a student needs to earn a gift card from the bank, we need to subtract the points the student already has from the required points for the gift card. The student currently has 2700 points and needs at least 5000 points in total. If we subtract the current points from the required points, we have:

Required points for the gift card: 5000 points

Current points: 2700 points

Points needed: 5000 points - 2700 points = 2300 points

The student needs an additional 2300 points to earn a gift card from the bank.

While accumulating points, a student might consider if they could benefit from a very convenient credit card that offers a free Rewards program, unsurpassed card protection, free PhotoCard, free Purchase Cover, personal customer service, and wide acceptance. Such a card is not only accepted at over 400,000 locations in Australia but also more than 14 million establishments worldwide and offers cash access at over 341,000 ATMs.

what is the product a-3/15a times 5/a-3

Answers

Answer:-1/(a^2 -3a)
Solution :

-3/15a × 5/a-3
= -3/3a × 1/a-3
=-1/a × 1/a-3
=-1/a(a-3)
=-1/(a^2 -3a)

For this case we must find the following product:

[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]

We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]

So:

[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]

Dividing the numerator and denominator by "5":

[tex]\frac {5} {15a} = \frac {1} {3a}[/tex]

Thus, the product is[tex]\frac {1} {3a}[/tex]

Answer:

[tex]\frac {1} {3a}[/tex]


for which equation and the inequalities given belown is x=3 not a solution? f)-7x-9=12 g)x-2<-4 h)3x-2=-11 j)-5x-8>7

Answers

Answer: f) -7x -9= 12


Step-by-step explanation:

Step 1: Solve the equation. To solve the equation, add 9 to both sides. This is what you would have now. ( -7x = 21 )

Step 2: Now divide -7 from both sides. This is what you would have now.

( x= -3)

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree

Answers

Answer:

1. -9       2. 160

3. 3.9

Step-by-step explanation:

I dd the assignment

Final answer:

The equation in standard form that represents the relationship between Fahrenheit (F) and Celsius (C) is 5F + (5/9)(F - 32) = 39.

Explanation:

In order to represent the relationship between Fahrenheit (F) and Celsius (C) in standard form, we can use the conversion formula:

C = (5/9)(F - 32)

Given the equation 5F + C = 39, we can substitute the value of C from the conversion formula into the equation:

5F + (5/9)(F - 32) = 39

Simplifying the equation further:

45F + 5(F - 32) = 351

45F + 5F - 160 = 351

Combine like terms:

50F - 160 = 351

Add 160 to both sides:

50F = 511

Divide both sides by 50:

F = 10.22

Therefore, the equation in standard form that represents the relationship between F (degrees Fahrenheit) and C (degrees Celsius) is 5F + (5/9)(F - 32) = 39.

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The complete question is here:

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C =  39°F = °C rounded to the nearest tenth of a degree

Freezing Temperatures (°)

Column A. F

1. -13

2. -4

3. 5

4. 14

5. 23

Column B. C

A. -25

B. -20

C. -15

D. -10

E. -5

HELP PLEASE Simplify the expression: (0.07b3m+7)÷( 1 5 bm−1)

Answers

The simplified expression of the expression (0.07b³m + 7) ÷ (15bm⁻¹) is (0.07b³m + 7) ÷ (15bm⁻¹)

How to simplify the expression

To simplify the expression, we have

Find the greatest common factor (GCD) of the numerator and denominator. Divide the numerator and denominator by the GCD.

The GCD of the numerator and denominator is 1.

So, the simplified expression is:

(0.07b³m + 7) ÷ (15bm⁻¹) = (0.07b³m + 7) ÷ (15bm⁻¹)

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evaluate the exponent

(-6) EE -3

Answers

Answer:

Hence final answer is [tex]-\frac{1}{216}[/tex].

Step-by-step explanation:

Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:

[tex]\left(-6\right)^{-3}[/tex]

So let's simplify that:

[tex]\left(-6\right)^{-3}[/tex]

Apply formula x^-m=1/x^m

[tex]=\frac{1}{\left(-6\right)^{+3}}[/tex]


[tex]=\frac{1}{\left(-6\right)^3}[/tex]


[tex]=\frac{1}{\left(-6\right)\left(-6\right)\left(-6\right)}[/tex]


[tex]=\frac{1}{-216}[/tex]


[tex]=-\frac{1}{216}[/tex]



Hence final answer is [tex]-\frac{1}{216}[/tex].

Truck traveling at an average rate of 45 Miles per hour leaves a rest stop. 15 minutes later a car traveling and average rate of 60 mph at least the same rest stop traveling the same route. How long will it take for the card to catch up with the trap?

Answers

it would take 15 minute

which property of equality can be used to justify this step?

Answers

Answer:

C. Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality allows one to add the same quantity to both sides of an equation.

Answer:

Addition Property of Equality

Step-by-step explanation:

15-10x = 6x

We are adding 10x to each side, which we can do by the addition property of equality.

Addition Property of Equality

If a=b

then  a+c = b+c

best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?

Answers

$289 is better because its cheaper per mile

(30 Points) (Too lazy to work it out.) Determine the percent of change between 36 and 72. (Show your work please.)

Answers

Answer:

100%

Step-by-step explanation:

Use this equation:

percent of change=(New-Old)÷Old×100100=(72-36)÷36×100

Answer:

CANT DO IT

Step-by-step explanation:

IM TOO LAZYER

the sales tax on a $30 purchase was $2.40

Answers

I need mor information to answer this question?

By The triangle inequality theorem and which set of side lengths could create a triangle? A 5, 10, 4. B. 5, 7, 13. C. 7,9,3. D. 10,4,5

Answers

Answer:

Correct choice is C

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Thus, if a, b and c are triangles sides, then

[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]

A. Consider lengths a=5, b=10 and c=4. Since

[tex]a+c=5+4=9<10=b,[/tex]

these side lengths couldn't create triangle.

B. Consider lengths a=5, b=7 and c=13. Since

[tex]a+b=5+7=12<13=c,[/tex]

these side lengths couldn't create triangle.

C. Consider lengths a=7, b=9 and c=3. Since

[tex]a+b=7+9=16>3=c,\\ \\a+c=7+3=10>9=b,\\ \\b+c=9+3=12>7=a.[/tex]

These side lengths could form a triangle.

D. Consider lengths a=10, b=4 and c=5. Since

[tex]b+c=4+5=9<10=a,[/tex]

these side lengths couldn't create triangle.

Answer:

C?

Step-by-step explanation:

At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.

Answers

Final answer:

To find the number of men at the college, divide the total number of students by the sum of the parts in the ratio (6+5) and then multiply by the number of parts for men (6/11). The answer is 1920 men at the college.

Explanation:

To find the number of men at the college, we need to use the ratio of men to women. The ratio is given as 6 to 5, which means there are 6 parts for men and 5 parts for women.

To calculate the number of men, we divide the total number of students by the sum of the parts in the ratio (6+5).  

So, the number of men is (6/11) * 3520 = 1920. Therefore, there are 1920 men at the college.

How could you determine the number of feet per sec a squirrel can run

Answers

Time how long it takes for the squirrel to run a certain number of feet, then divide the # of feet by the time in seconds. The speed should be in ft/s. Glad to help :)
Final answer:

To determine the number of feet per second a squirrel can run, observe its speed and measure the distance it covers in a given time. Mark a short distance on the ground, start a timer as the squirrel begins running, stop the timer when the squirrel reaches the end, and divide the distance by the time to calculate the speed.

Explanation:

To determine the number of feet per second a squirrel can run, you can observe its speed and measure the distance it covers in a given time. Here are the steps:

Mark a short distance on the ground, such as 10 feet.Start a timer as the squirrel begins running.Stop the timer when the squirrel reaches the end of the marked distance.Note the time it took for the squirrel to cover the distance.Divide the distance by the time to calculate the speed in feet per second.

For example, if the squirrel covers 10 feet in 2 seconds, its speed would be 10/2 = 5 feet per second.

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J. Michael filled the watering can 6 times to water the small tomato plants. The watering can held the quarts of water. How many gallons of water did he use?

Answers

Answer:

1.5 gallons


Step-by-step explanation:


Which representation represents a proportional relationship?

Answers

Answer: A


Step-by-step explanation:


Answer:

A

Step-by-step explanation:

16. Over a four-week period, Gail earned the following commissions: Week 1 $250.00 Week 2 310.00 Week 3 275.00 Week 4 195.00 What was her average weekly commission for the period? A. $205.00 B. $240.00. C. $207.50 D. $257.50

Answers

d 257.50

take all 4 weeks add them together to get 1030 then divide by total number of weeks

1030/4 is 257.5

What is the value of x?
Enter your answer in the box.

x= in.

Answers

Answer:

x=24

Step-by-step explanation:

We can use proportions to solve this problem

5                15

------ =  -------------

8              x

Using cross products

5 * x = 8 *15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x =24

Answer:

The answer is 24in.

Step-by-step explanation:

My explanation isn't very useful, I just looked at the image and say that 5in was 1/3 of 15in. therefore I multiplied 8in by 3 and got 24in.

I hope this helps!

Cheers, July!

math question. shown below

Answers

Answer:(-2,8) (-1,5) (0,2) (1,-1) (2,-4)


Step-by-step explanation:


Along the highway, the children see a sign stating that. Old towne is 36 1/3 miles away and bridgeway is 52 1/4 miles away. How far is it from old towne to bridgeway

Answers

Answer:

The distance from Old Towne to Bridgeway is 15 11/12 miles.  

Step-by-step explanation:

In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities.  Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4.  We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12.  When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12.  Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12.  Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.

Final answer:

The distance from Old Towne to Bridgeway is calculated by subtracting the distance to Old Towne from the distance to Bridgeway, resulting in 15 11/12 miles.

Explanation:

To determine the distance between Old Towne and Bridgeway, we subtract the distance from the starting point to Old Towne from the distance to Bridgeway. Old Towne is 36 1/3 miles away, and Bridgeway is 52 1/4 miles away. We must first convert these mixed numbers to improper fractions to do the subtraction.

Convert 36 1/3 to an improper fraction: (36 × 3) + 1 = 108 + 1 = 109/3.

Convert 52 1/4 to an improper fraction: (52 × 4) + 1 = 208 + 1 = 209/4.

Find a common denominator to subtract the fractions. The common denominator for 3 and 4 is 12. Thus, convert both fractions to twelfths: 109/3 becomes 436/12, and 209/4 becomes 627/12.

Subtract the distance to Old Towne from the distance to Bridgeway: 627/12 - 436/12 = 191/12.

Convert 191/12 back to a mixed number to find the distance: 191 ÷ 12 = 15 with a remainder of 11, so the distance is 15 11/12 miles.

Therefore, the distance from Old Towne to Bridgeway is 15 11/12 miles.

Anyone know? Will mark brainliest!

Answers

Answer:

I believe than answer is A make sure tho im only in 6 th grade

Step-by-step explanation:


Answer:

A.

Step-by-step explanation:

This will give you the responses of the functions.

The x values arent the responses.

brady has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in equal piles, with only one type of card in each pile. how many cards can he put in each pile?

Answers

Answer:

8 piles for basketball

4 piles for football

3 piles for baseball


Step-by-step explanation:

1. Find the GCF of all three #s

2. 8 is the GCF, so divide each # by 8

3. You get the # of piles for each type of card

noah bought 4 tacos and paid $6. At this rate,how many tacos could he buyfof $15?

Answers

rate per tacos= 6/4=1.5 so he bought 10 tacos for $15

Answer:

10

Step-by-step explanation:

Noah spends $1.50 for every taco, meaning that the cost is 3/2 of the amount of tacos. To get the amount of tacos, find 2/3 of 15.

Could someone please help me asap? Thanks in advance! :)

Answers

Answer:

A

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0 : a ≠ 0

obtain (5 + x)(5 - x) = 7 in this form by expanding the factors

25 - x ² = 7 ( subtract 7 from both sides )

18 - x² = 0 ( multiply through by - 1 )

x² - 18 = 0 ← in standard form

with a = 1, b= 0 and c = - 18 → A


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