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Setler [38]
2 years ago
6

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They

have traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108+x≤352.

Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda's family can drive miles before they need to refill the gas tank.
Mathematics
1 answer:
Solnce55 [7]2 years ago
6 0

From the solution to the inequality, the correct interpretation is that:

Amanda's family can drive 244 miles before they need to refill the gas tank.

The amount of miles they can still travel is modeled by the following <em>inequality</em>:

108 + x \leq 352

It is solved similarly to an equality, hence:

x \leq 352 - 108

x \leq 244

Then:

Amanda's family can drive 244 miles before they need to refill the gas tank.

You can learn more about inequalities at brainly.com/question/25629776

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The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
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The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

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Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

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What is the quotient
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The quotient is 3x - 11 + 60/(x + 5) ⇒ 2nd answer

Step-by-step explanation:

* We will use the long division to solve the problem

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- The divisor is x + 5

- The quotient is the answer of the division

- If the divisor not a factor of a dividend, the quotient has

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* Lets solve the problem

- At first divide the first term in the dividend by the first term in

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∵ 3x² ÷ x = 3x

- Multiply the divisor by 3x

∴ 3x (x + 5) = 3x² + 15x

-Subtract this expression from the dividend

∴ 3x² + 4x + 5 - (3x² + 15x) = 3x² + 4x + 5 - 3x² - 15x = -11x + 5

- Divide the first term -11x in the new dividend by the first

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- Multiply the divisor by -11

∴ -11(x + 5) = -11x - 55

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∴ -11x + 5 - (-11x - 55) = -11x + 5 + 11x + 55 = 60

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* The quotient is 3x - 11 + 60/(x + 5)

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