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Sergio [31]
3 years ago
9

The length of a rectangle is 3 m longer than its width. if the perimeter of the rectangle is 42 m , find its area.

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0
The length would be 11m and the width would be 8m. if you add all sides together you get 42m. A=l times w
11 times 8= 88m^2
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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

6 0
3 years ago
X=-12-6y <br>-4x+5y=-39<br>slove by the system of substitution
Artist 52 [7]
X = -6y - 12
4x + 5y =-39

                  4x + 5y = -39
     -4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
       24y + 48 + 5y = -39
               29y + 48 = -39
                       29y = -87
                            y = -3

x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6

(x, y) = (6, -3)
5 0
4 years ago
Sumi lives 2 miles from school. valerie lives 10,542 feet from school. who lives closer to school ?
nasty-shy [4]
Sumi because 10452 feets are 1.997 miles
5 0
3 years ago
Read 2 more answers
Manuel and Peter are standing 12 ft. apart from each other and looking up at a kite that is flying between them. Manuel is flyin
Viktor [21]

Answer:

C. 68.1 ft.

Step-by-step explanation:

Hope this helps

4 0
3 years ago
pls There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library? A.4^9 B. 4^45 C. 4^46 D. 1  
jekas [21]
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!
6 0
3 years ago
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