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julsineya [31]
3 years ago
10

Answer CORRECTLY !!!!! Will mark brainliest !!!!

Mathematics
2 answers:
mash [69]3 years ago
4 0

Answer:

g(q) = \frac{5q}{8}

Step-by-step explanation:

Given

- 7q + 12r = 3q - 4r

Rearrange making r the subject

Add 7q to both sides

12r = 10q - 4r ( add 4r to both sides )

16r = 10q ( divide both sides by 16 )

r = \frac{10q}{16} = \frac{5q}{8} , thus

g(q) = \frac{5q}{8}

ZanzabumX [31]3 years ago
4 0
Answer: 8/5r
-7q-3q=-4r-12r
-10q=-16q
Q=8/5r
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Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

y=\frac{k}{x}=\frac{72}{7.8}=9.2 to the nearest tenth

Hope this helps :)

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With all that information you can identify the graph, given that you didn't include the options.
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