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Karolina [17]
3 years ago
14

The relationship between ttt and rrr is expressed by the equation 2t+3r+6=02t+3r+6=02, t, plus, 3, r, plus, 6, equals, 0. If rrr

increases by 444, which of the following statements about ttt must be true?
Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

Answer:

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

2t + 3r + 6 = 0

Required

What happens when r is increased by 4

2t + 3r + 6 = 0 <em>-------- Equation 1</em>

Subtract 2t from both sides

2t + 3r + 6 - 2t = 0 - 2t

3r + 6 = - 2t --- <em>Equation 2</em>

When r is increased by 4, equation 1 becomes

2T + 3(r+4) + 6 = 0

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

2T + 3r+12 + 6 = 0

Rearrange

2T + 3r+6 +12 = 0

<em>Substitutr -2t for 3r + 6 [From equation 2]</em>

2T -2t +12 = 0

Make T the subject of formula

2T = 2t - 12

Divide both sides by 2

\frac{2T}{2} = \frac{2t - 12}{2}

T = t - 6

This means that the value of t is reduced by 6 when the value of r is increased by 4

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Step-by-step explanation:

it would be ten plus 2 times x=34, but we dont know that number, so we replace it with a variable.

2x+10=34

5 0
3 years ago
A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized
True [87]

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

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subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

8 0
3 years ago
Is 25 to 16 proportional to 5 to 4
e-lub [12.9K]
Yes 25 to 16 is proportional to 5 to 4.
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In the same way 16 can be simplified to 4 by dividing it by 4.

It results in the same proportion which is 5 to 4.
6 0
3 years ago
Question 5 of 10
rusak2 [61]
C I did the test and if it’s wrong I don’t know what to tell you
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WXYZ is a kite. Solve for x and y. ANSWERS: A) x = 12; y = 2 B) x = 13; y = 10 C) x = 13; y = 1∕2 D) x = 12; y = 5
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Answer:

C

Step-by-step explanation:

Kite has consecutive sides that are equal in length. The two sets of adjacent sides are congruent.

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4 0
3 years ago
Read 2 more answers
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