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3 years ago

13

75 can be written as 5 to the power of x times y, where x and y are prime numbers. find the value of x and the value of y.

1 answer:

vladimir1956 [14]3 years ago

4 0

X (power) = 2
y = 3

Because 5 squared (25) times 3 equals 75.

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Answer:

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Step-by-step explanation:

Let $v_1$ be the speed and $t_1$ be the time Barbara drives in clear weather, and let $v_2$ be the speed and $t_2$ be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). $v_2 = v_1 -22$

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(2). $v_1t_1 = 45miles$

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From equations (2) and (3) we get:

$t_1 = \dfrac{45}{v_1}$

$t_2 =\dfrac{57}{v_2}$

putting these in equation (4) we get:

$\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25$

and substituting for $v_2$ from equation (1) we get:

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This equation can be rewritten as

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$v_2 = 60 -22\\$

$v_2 = 38$ .

Thus, Barbara's speed in clear weather is $60mph$ and in the thunderstorm is $38mph$ .

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