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Lana71 [14]
3 years ago
14

-4(r+2)=4(2-4r)solve for r and show work please

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0
Let's solve your equation step-by-step.<span><span>−<span>4<span>(<span>r+2</span>)</span></span></span>=<span>4<span>(<span>2−<span>4r</span></span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>4<span>(<span>r+2</span>)</span></span></span>=<span>4<span>(<span>2−<span>4r</span></span>)</span></span></span><span>Simplify</span><span><span><span><span>(<span>−4</span>)</span><span>(r)</span></span>+<span><span>(<span>−4</span>)</span><span>(2)</span></span></span>=<span><span><span>(4)</span><span>(2)</span></span>+<span><span>(4)</span><span>(<span>−<span>4r</span></span>)</span></span></span></span>(Distribute)<span><span><span><span>−<span>4r</span></span>+</span>−8</span>=<span><span>8+</span>−<span>16r</span></span></span><span><span><span>−<span>4r</span></span>−8</span>=<span><span>−<span>16r</span></span>+8</span></span>Step 2: Add 16r to both sides.<span><span><span><span>−<span>4r</span></span>−8</span>+<span>16r</span></span>=<span><span><span>−<span>16r</span></span>+8</span>+<span>16r</span></span></span><span><span><span>12r</span>−8</span>=8</span>Step 3: Add 8 to both sides.<span><span><span><span>12r</span>−8</span>+8</span>=<span>8+8</span></span><span><span>12r</span>=16</span>Step 4: Divide both sides by 12.<span><span><span>12r</span>12</span>=<span>1612</span></span><span>r=<span>43</span></span>Answer:<span>r=<span>4<span>3</span></span></span>
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Find the sum of all the integers from 1 to 100 that are not multiples of 7
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Answer:

4343

Step-by-step explanation:

To find multiple of 7 from 1 to 100,

Take the quotient of 100/7=14

n=100 (number of terms)

n=100-14 (Without Multiple of 7=number of terms - multiple of 7)

=>n=86

Sum of 1 to 100 => Sn = n/2(a + an)

                          => Sn = 86/2(1+100)

                          => Sn = 43(101)

                          => Sn = 4343

8 0
3 years ago
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kherson [118]

Answer:

D = 161^o

Step-by-step explanation:

Given

\angle B = 19^o

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

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Make D the subject

D = 180^o -B

D = 180^o -19^o

D = 161^o

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Answer:

Your answers are correct.

Step-by-step explanation:

The "<" sign means less than and the ">" sign means greater than. It is clear that you have a handle on them.

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2 years ago
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