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weqwewe [10]
3 years ago
9

How many feet are in 96 inches?

Mathematics
2 answers:
makvit [3.9K]3 years ago
7 0
Since 1 foot = 12 inches just do 96 ÷ 12

96 ÷ 12 = 8

Therefore, 
There are 8 feet in 96 inches.  

Hope this helps and have a great day! :D 
Alik [6]3 years ago
4 0
8 because 12x8=96 and 12 inches in a foot

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

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<u>Part a) Is x = 0 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

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substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

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TRUE!

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∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

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<u>Part b) Is x = 4 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

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∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

<u>solving -2x < 10</u>

-2x\:

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\left(-2x\right)\left(-1\right)>10\left(-1\right)

Simplify

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Divide both sides by 2

\frac{2x}{2}>\frac{-10}{2}

x>-5

-2x-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}

<u>solving -6 < -2x</u>

-6 < -2x

switch sides

-2x>-6

Multiply both sides by -1 (reverses the inequality)

\left(-2x\right)\left(-1\right)

Simplify

2x

Divide both sides by 2

\frac{2x}{2}

x

-6

Thus, the two intervals:

\left(-\infty \:,\:3\right)

\left(-5,\:\infty \:\right)

The intersection of these two intervals would be the solution to both inequalities.

\left(-\infty \:,\:3\right)  and \left(-5,\:\infty \:\right)

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

<h3>SUBSTITUTING x = 1</h3>

FOR  -2x < 10

substituting x = 1 in -2x < 10

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substituting x = 1 in -6 < -2x

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TRUE!

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∴ x = 1 is the solution to the inequality -6 < -2x.

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x = 1 is a solution common to both inequalites.

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