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3 years ago

10

Isabel’s car gets 33.5 miles per gallon. Her tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank of g

as?

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer:

505.85

Step-by-step explanation:

Because 33.5 × 15.1 is 505.85.

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The area of a rectangle is represented by (x^2-14x-32) square units . If the width of the rectangle is represented by (x+2) unit

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The expression for length of rectangle is (x - 16) units

<h3><u>Solution:</u></h3>

Given that area of a rectangle is represented by $x^2-14x-32$ square units

width of the rectangle is represented by (x+2) units

To find: length of the rectangle

<em><u>The area of rectangle is given as:</u></em>

$\text { area of rectangle }=\text { length } \times \text { width }$

Substituting the values in formula, we get

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Let us first factorise the L.H.S of eqn 1

$x^{2}-14x-32$

Break the expression into groups

$=\left(x^2+2x\right)+\left(-16x-32\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)$

$\mathrm{Factor\:out\:}-16\mathrm{\:from\:}-16x-32\mathrm{:\quad }-16\left(x+2\right)$

$=x\left(x+2\right)-16\left(x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}x+2$

$=\left(x+2\right)\left(x-16\right)$

Now substitute the above value in eqn 1

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$length = \frac{(x + 2)(x - 16)}{x + 2}$

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3 years ago

Find the equation of this line.<br> y = x + [ ]

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Answer:

y = x + 3

Step-by-step explanation:

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