3 years ago

8s+7>-3(5s-4) Solve the inequality

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

First distribution the -3 to 5s and -4. then solve

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It takes Hayden 1 1/2 minutes t complete each level of his video game. If he plays for 10 1/4 minutes, how many levels will he c

antoniya [11.8K]

Given:

Hayden $1\dfrac{1}{2}$ minutes to complete each level of his video game.

He plays for $10\dfrac{1}{4}$ minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level = $1\dfrac{1}{2}$

Total time = $10\dfrac{1}{4}$

The number of level is

$n=\dfrac{\text{Total time}}{\text{Required time for each level}}$

$n=\dfrac{10\dfrac{1}{4}}{1\dfrac{1}{2}}$

$n=\dfrac{\dfrac{10(4)+1}{4}}{\dfrac{1(2)+1}{2}}$

$n=\dfrac{\dfrac{41}{4}}{\dfrac{3}{2}}$

On further simplification, we get

$n=\dfrac{41}{4}\times \dfrac{2}{3}$

$n=\dfrac{41}{6}$

$n=6.8333...$

Number of levels must be a whole number. So, approx to value to the preceding whole number.

$n\approx 6$

Therefore, Hayden will complete 6 levels if he plays for $10\dfrac{1}{4}$ minutes.

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3 years ago

A computer valued at $1500 loses 20% of its value each year.

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The longer leg of a right triangle is 4m longer than the shorter leg. the hypotenuse is 8m longer than the shorter leg. find the

liubo4ka [24]

Let the shorter leg = a.
The longer leg, b = a + 4.
The hypotenuse, c = a + 8

a^2 + b^2 = c^2

a^2 + (a + 4)^2 = (a + 8)^2

a^2 + a^2 + 8a + 16 = a^2 + 16a + 64

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(a - 12)(a + 4) = 0

a - 12 = 0 or a + 4 = 0

a = 12 or a = -4

a = -4 is discarded because it is negative.

a = 12
b = 16
c = 20

The lengths are 12 m, 16 m, and 20 m.

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84 degrees.
The two angles are alternate interior.

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