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zaharov [31]
3 years ago
14

Find the value of X in the following rectangle if the area is 180 square inches

Mathematics
1 answer:
andrezito [222]3 years ago
7 0
Hello!

You find the area of a rectangle by the equation A = lw

A is area
l is length
w is width

Put in the values you know

180 = 3x * 6

Now you solve it algebraically

Divide both sides by 6

30 = 3x

Divide both sides by 3

10 = x

The answer is 10in

Hope this helps!
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Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

32-2x = 32 - 2•8 = 16

4 0
3 years ago
If 6xa=54 and b-a=14 what is axb
bagirrra123 [75]
6a=54 so a=54/6, a=9

b-a=14, and using a found above...

b-9=14

b=23,  so a=9 and b=23 so

ab=9(23)=207
6 0
3 years ago
Read 2 more answers
What is 6 + (5x7) i need help for this plss
Schach [20]

41, hopefully im right

Step-by-step explanation:

5 x 7 = 35

35 + 6

6 0
3 years ago
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The price of a microwave oven went up from $75 to $90; then went on sale for $57. What is the percent decrease from the original
Arisa [49]

Answer:

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original price of a microwave = $ 75

Mark-up price of the microwave = $ 90

Sale price of the microwave = $ 57

2. What is the percent decrease from the original price to the sale price?

For answering this question we will use the Direct Rule of Three this way:

Price         Percentage

75                 100%

57                   x

75x = 57 * 100

75x = 5,700

x = 5,700/75

x = 76

76 = 100 - 24

<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>

5 0
3 years ago
Read 2 more answers
Please help!!! On my hw
neonofarm [45]

Answer:

c(X)=R(X)

125x+18000=215x

18000=215x-125x

18000=90x (divede both sides by 90)

X=200

3 0
3 years ago
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