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3 years ago

Tell whether the ratios are proportions: 4/7,24/35

1 answer:

7 0

To find whether or not the ratios are proportional, simplify. The first ratio is already simplified, so simplify the second one. to do this, find what factors 24 and 35 have in common.

Factors of 24: 1, 2, 3 ,4, 6, 8, 12, 24

Factors of 35: 1, 5, 7, 35

It looks like there are now common factors between 24 and 35. For the ratios to be proportional, they have to have the same value. If 24/35 can't be simplified to 4/7, the factors are not proportional.

So, to answer the question: No, the ratios are NOT proportions. I hope this helps and have a great rest of your day!

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If asked to solve an oblique triangle and you are given only the three angles, it would be best to use the Law of Cosines.

Art [367]

The answer is trueeee

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3 years ago

What is the value of x if 2x - 7 = 103 x=__________

Greeley [361]

Answer:

x=55

Step-by-step explanation:

2x-7=103

2x=103+7

2x=110

x=55

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2 years ago

Read 2 more answers

Solve for k: A=5k/7y

Mashutka [201]

Answer:

7/5 * A *y =k

Step-by-step explanation:

A=5k/7y

Multiply each side by 7y

A* 7y = 5k/7y * 7y

7Ay = 5k

Divide by 5

7Ay/5 = 5k/5

7/5 * A *y =k

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2 years ago

A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T

alexgriva [62]

The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t) 10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.

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3 years ago

Read 2 more answers

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%

Ad libitum [116K]

The answer to this question would be <span>B. Mystic
</span><span>

Since the rate should be constant, option C and D wouldn't be true.</span>
If the Four Rivers bank gives 12% per year and Mystic Bank gives 14% per year, it will be 3% per quarter year for Four Rivers Bank and 7% semiannually for Mystic Bank.
The total rate would become:
Four rivers 103%^4= 1.125
Mystic : 107%^2= 1.145

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3 years ago