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yKpoI14uk [10]
3 years ago
12

-88=-3(4m+5)-(1-3m) solve asap i give brainliest

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

<u>m = 8</u>

<em><u>Let's solve your equation step-by-step.</u></em>

−88=−3(4m+5)−(1−3m)

<em><u>Step 1: Simplify both sides of the equation.</u></em>

<em>−88=−3(4m+5)−(1−3m)</em>

<em>−88=−3(4m+5)+−1(1−3m)(Distribute the Negative Sign)</em>

<em>−88=−3(4m+5)+(−1)(1)+−1(−3m)</em>

<em>−88=−3(4m+5)+−1+3m</em>

<em>−88=(−3)(4m)+(−3)(5)+−1+3m(Distribute)</em>

<em>−88=−12m+−15+−1+3m</em>

<em>−88=(−12m+3m)+(−15+−1)(Combine Like Terms)</em>

<em>−88=−9m+−16</em>

<em>−88=−9m−16</em>

<em><u>Step 2: Flip the equation.</u></em>

<em>−9m−16=−88</em>

<em><u>Step 3: Add 16 to both sides.</u></em>

<em>−9m−16+16=−88+16</em>

<em>−9m=−72</em>

<em><u>Step 4: Divide both sides by -9.</u></em>

<em>−9m/−9 = −72/−9</em>

<u>m=8</u>

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3 years ago
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
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