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Eduardwww [97]
3 years ago
15

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the

third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0
A = first piece, b = second piece, c = third piece

a + b + c = 47
b = 3a
c = 5a + 2

a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft

b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft

longest piece (c) = 27 ft
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The values in the table represent an exponential function. What is the
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Answer:

It is 4.

Step-by-step explanation:

9(4)=36

36(4)=144

144(4)=576

576(4)=2304

Hope this helps:)

3 0
3 years ago
Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player. What percent of those who owned a TV also o
Luda [366]

Answer:

82.5% Americans owned a TV also owned a DVD player .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.

Here

Part value = 94.2 million

Total value = 114.2 million

Putting all the values in the formula

Percentage = \frac{94.2\times 100}{114.2}

Percentage = \frac{94200\times 10}{1142\times 10}

Percentage = \frac{942000}{11420}

Percentage = 82.5 %

Therefore 82.5% Americans owned a TV also owned a DVD player .

3 0
3 years ago
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
coldgirl [10]

Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.


Step-by-step explanation:

In the given graph we have  set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis  represents the wrist circumference while  y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

5 0
3 years ago
Read 2 more answers
9 x 10 to the power of 2 how many times as much as 3 x 10 to the -2 power
hjlf

Answer:

  3×10^4

Step-by-step explanation:

The desired factor is found by calculating the ratio of the two numbers:

  k = (9×10^2)/(3×10^-2) = (9/3)×10^(2 -(-2)) = 3×10^4

The first number is 3×10^4 = 30,000 times as much as the second number.

6 0
2 years ago
Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1
Leviafan [203]

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

Read more about system of linear equations at

brainly.com/question/14323743

#SPJ1

7 0
2 years ago
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