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siniylev [52]
3 years ago
11

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

ctangle is 54 inches.
#7 Write an equation that represents the situation. Explain any variable used.




#8 Solve the equation. Show your work. State your solution as a complete sentence
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = 2(l+b)

Equation becomes:

2(x+3+x)=54

2(2x+3)=54

Part B:

Solving the equation we get

4x+6=54

4x=54-6

4x=48

x=12

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.


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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. What is th
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Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. </em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7% </em>

<em>about 41.5%</em>

<em> about 42.5% </em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 . </em>

<em>As the red grapes are 15.. </em>

<em>Thus, </em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em> The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22 </em>

<em>=105/253 </em>

<em>=0.415</em>

<em>= 41.5% </em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

<u><em>Kavinsky</em></u>

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