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4 years ago

Describe a relationship where one quantity increases as another quantity increases

Mathematics

1 answer:

makkiz [27]4 years ago

7 0

Answer:

Direct variation is the relationship between two variables, whereby if one variable increases, the other also increases and vice versa. If one variable increases if the other decreases, it is called inverse variation.

Step-by-step explanation:

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How many times can 80 go in to 100

stich3 [128]

The answer will be 1 because 80+80=160 not 100 so it cant be added twice so it has to be one.

4 0

3 years ago

Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

3 0

4 years ago

Select all the relationships that demonstrate a positive association between veriables (multiple choice)

Gnom [1K]

Answer:

Step-by-step explanation:

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3 years ago

I need help with number 33!!!

sveta [45]

Area of Big Rectangle Area of Small Rectangle

A = L x w A = L x w

= (25 + 2w)(10 + 2w) = 25 x 10

= 250 + 50w + 20w + 4w² = 250

Big - Small

74 = 250 + 70w + 4w² - 250

74 = 4w² + 70w

0 = 4w² + 70w - 74

= 2(2w² + 35w - 37)

= 2[2w² -2w | +37w - 37]

= 2[2w(w - 1) | +1(w - 1)]

= 2(2w + 1)(w - 1)

0 = 2 0 = 2w + 1 0 = w - 1

FALSE so disregard w = -1/2 w = 1

NEGATIVE so disregard

Answer: 1 meter

5 0

3 years ago

What number is 32% of 75?

Elza [17]

What is 32% of 75? Y is 32% of 75. Equation: Y = P% * X. Solving our equation for Y: Y = P% * X. Y = 32% * 75. Converting percent to decimal: p = 32%/100 = 0.32. Y = 0.32 * 75 . Y = 24. Answer is 24.

4 0

3 years ago

Read 2 more answers