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shutvik [7]
3 years ago
13

A rectangular mural has dimensions of (x + 10) and (x + 3) feet. If the area of the mural is 60

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + <u>3x + 10x</u> + 30 = 60      {Combine like terms}

x² +<u> 13x</u> + 30 - 60 = 0

x² + 13x - 30 = 0

Sum = 13

Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

x + 10 = 2 + 10 = 12

x + 3 = 2 + 3 = 5

Dimensions are 12 , 5

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lisov135 [29]

Answer:

Step-by-step explanation:

Break down the figure into two shapes.

SHAPE A: The larger one. We can infer the size of the bottom is 6 cm because it's the same size as it's top counterpart. Same goes for the left side, which will have a measure of 7 cm.

SHAPE B: The smaller one. We're going to use the same method as we did with the first one, and infer the lengths of the other sides using the existing ones.

To calculate area, it's length times width.

SHAPE A: Its two side measures are 6 and 7, which equates to 42 cm^2.

SHAPE B: Its two side measures are 2 and 3, which equates to 6 cm^2.

If you add the two, the total area is 44 cm^2.

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3 years ago
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Round 10,982 to the nearest thousand
nadezda [96]
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Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows
vlabodo [156]

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5     (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5     (2)

Multiply the first equation by 2.

8x + 6y = 47     (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

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Komok [63]

Answer:

0.275

Step-by-step explanation:

We want to write 11 out of 40 batters as a decimal.

We can write 11 out of 40 as a fraction to get:

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Note that:

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This implies that:

\frac{11}{40}  = 0.25  \times 1.1

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\frac{11}{40 }  = 0.275

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