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Evgesh-ka [11]
1 year ago
7

The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t

he rectangle.
Mathematics
1 answer:
Mars2501 [29]1 year ago
6 0

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\

Divide both parts of the equation by 3:

x=12\ inches

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A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....

35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0
3 years ago
PLEASE HELPPP!!!!!! Write an equation of the line passing through point P that is perpendicular to the given line.
ArbitrLikvidat [17]

Answer:(d): y=ax+b (a≠0); (d1)y=-4x+13

because of (d)⊥(d1) --> a.(-4)=-1 --> a=\frac{1}{4}

(d): y=\frac{1}{4}x+b. (d) pass through  P(-1;-2) so we have

-2=(1/4).(-1)+b ---> b=\frac{-7}{4}

(d) y= \frac{1}{4}x+ \frac{-7}{4}

4 0
3 years ago
Twenty-five percent of what number is 80?
tankabanditka [31]
The answer is 20
Hope this helps
3 0
3 years ago
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At the movie theatre, child admission is $5.20 and adult admission is $8.60. On Sunday, 132 tickets were sold for a total sales
xxMikexx [17]

Answer:

60 tickets for children were sold

Step-by-step explanation:

Let x be the number of sold children's tickets and let y be the number of adult tickets sold, then we can pose the following equations.

x + y = 132   (i) Because 132 tickets were sold in total

5.20x + 8.60y = 931.20   (ii)   because the total of $ obtained by sales was 931.20.

We must clear x. Then we substitute (i) in (ii)

5.20x +8.60(132-x) = 931.20

5.20x + 1135.2 - 8.60x = 931.20

-3.4x = -204

x = 60

60 tickets for children were sold

7 0
3 years ago
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Find the equation of a line containing the given points. Write the equation in slope-intercept form.
Alja [10]
X=2 because both coordinates have x as 2
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3 years ago
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