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3 years ago

Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

x = $\frac{5}{7}$

using the ' laws of exponents '

• $a^{m}$ × $a^{n}$ = $a^{( m + n )}$

• $a^{m}$ ÷ $a^{n}$ = $a^{(m - n)}$

• ( $a^{m}$ )^n = $a^{mn}$

$7^{2}$ × $7^{3}$ = $7^{5}$ ÷ $7^{3x}$ = $7^{5 - 3x}$

$7^{4x}$ = $7^{5 - 3x}$

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x = $\frac{5}{7}$

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Harold, a marina manager, purchased two boats. He then sold the boats, the first

zaharov [31]

Harold paid $ 16,632 and $ 38,808 for each of the boats.

Since Harold, a marina manager, purchased two boats, and he then sold the boats, the first at a profit of 40% and the second at a profit of 60%, and the total profit on the sale of the two boats was 54 % and $ 88 704 was the total selling price of the two boat, to determine what did Harold originally pay for each of the two boats the following calculation must be performed:

55 x 0.6 + 45 x 0.4 = 51
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Learn more in brainly.com/question/21446500

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2 years ago

There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus

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2 years ago

I don't get this I need help

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We notice from the choices, that the problem is solved using the Pythagorean theorem somehow. How?

If ABC was a right triangle, the hypotenuse would be BC (the largest side), so the right angle would be A.

In that case we would have 54 squared (which equals 2916) equal to the sum of the squares of 22 and 51 (which equals 3085).

If the triangle was a right triangle, $22^2+51^2$ would be exactly equal to $54^2$ , but it is larger. This means that a right angle is not large enough to 'enclose' $22^2+51^2$ . Thus angle A must be opened more that 90°.

Thus the answer is D:
an obtuse triangle because $22^2+51^2>54^2$

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3 years ago