Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?

Answers

Answer 1

Answer:

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet


Related Questions

What is the quotient? -4/5÷2. A -1 3/5 B -2/5 C 1/2 D 1 3/5​

Answers

the answer is “B” -2/5

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Answers

Answer:

b

Step-by-step explanation:

to find the volume of the figure you have to multiply the with times the length times the height

2x12x9=216

An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.

Answers

Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

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0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees






Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?

Answers

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

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Answer:

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Step-by-step explanation:

$500/50= 10

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P and Q form a linear pair if m P=(7x-4) and m Q =(2x-5) find the measure of each angle

Answers

Answer:

Answer:

Angle P = 143º

Angle Q = 37º

Step-by-step explanation:

Linear pair means the angles add up to 180º

So, using this, set up the equation: 7x - 4 + 2x - 5 = 180

Combine Like Terms

9x - 9 = 180

Add on both sides

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Divide

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Substitute 21 for x

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Angle Q: 2(21) - 5

Step-by-step explanation:

helpp please 6a-11=13

Answers

Answer:

A=18 because 6+18 (was 6+a) is 24 - 11 = 13

Step-by-step explanation:

A=18

Answer:

a = 4

Step-by-step explanation:

add 11 on the = side 11+13 = 24

now you're left with: 6a=24

divide 6÷24

a= 4

Students at Garcia Middle School took a survey about their favorite school.The results showed that 182 students rated pizza as their favorite food. This number represented 68% of the number of students who took the survey.What was the total number of students that took the survey?

Answers

Answer:

267.64 students

Step-by-step explanation:

Let the total number of students that took the survey be represented as x

This number represented 68% of the number of students who took the survey.

The results showed that 182 students rated pizza as their favorite food.

Therefore:

68% × x = 182 Students

68/100 × x = 182

68x/100 = 182

Cross Multiply

68x = 182 × 100

x = 182 × 100/68

x= 267.64705882 students

Therefore, the total number of students that took the survey is Approximately 267. 64 students

Determine a series of transformations that would map Figure N onto Figure O

Answers

Answer:

Reflect over x-axis. Then translate up 5 units.

what is 3 times 4 equal?

Answers

12 lol....................
answer: 3*4= 12
explanation: you are adding 3 to itself 4 times
you could think of it like 3+3+3+3

2x≥12
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Answers

Answer:

[tex]x \geq 6[/tex]

Step-by-step explanation:

You can start by dividing both sides by 2, getting [tex]x \geq 6[/tex].

Answer:

:(

Step-by-step explanation:

Find CD if AE=8, ED=4, and BE=6.

Answers

Answer:

The ratio of the two triangles is 8:12.

So BE:CD=2:3

6/CD=2/3

2CD=18

CD=9

Step-by-step explanation:

The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
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O A. -14, 11
B. 11
C. -14
D. 14

Answers

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.

Answers

Answer:

Step-by-step explanation:

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.

The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:

3M + 8V = 55

The second month: 5 movies, 2 video games, $18. Translated:

5M + 2V = 18

Solve that system of equations

Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please

Answers

Answer:

10x^2-10x+3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

6x7
88x10
11x44
34x23
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Answers

Answer:

does it matter?

Step-by-step explanation:

The Grand Old Duke of York had 10 000 men. He lost 10% of them on way to the top of
the hill, and he lost 15% of the rest as he marched them back down the hill.
What percentage of the 10 000 men were still there when they reached the bottom of
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Answers

Answer:

76.5%

Step-by-step explanation:

He lost 10% of them on way to the top of the hill

10% of 10,000 men

= 0.1 * 10,000

= 1,000 men

Remaining men = 10,000 - 1,000

= 9,000 men

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15% of 9,000 men

= 0.15 × 9000

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A hula hoop measures 14 inches from the center to the outside. What is the distance around the hula hoop?


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B. 175.84 in

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D. 87.92 in

Answers

Answer: D. 87.92 in

Step-by-step explanation:

The hula hoop is a circular shape so assume that this is a circle.

The 14 inches that it measure from the center to the outside is therefore the radius.

The distance around the hula hoop being looked for is the circumference.

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Answers

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Answer:

-19

Step-by-step explanation:

2x+15=-23

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Answers

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

1. A, 3 m

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Answers

Answer:

8,910

Step-by-step explanation:

i just multiplied all the sides

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Answer:

105 cm²

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

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]Daniel has 4 paintbrushes. Miguel has 6 times as many paintbrushes.


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Answers

Answer:

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