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dusya [7]
4 years ago
8

The scale for the drawing of a rectangular

Mathematics
1 answer:
faust18 [17]4 years ago
8 0

Answer:

y=\frac{2}{3}x  is the required equation.

Step-by-step explanation:

If y represents the number of feet and x represents the number of inches, we get the given statement "2 inches = 3 feet" in mathematical equation as:

2x = 3y

Solving this equation for y will give us the required equation.

Actual dimensions are:

Width\:=\:\frac{2}{3}\left(12\right)=8\:feet\\\\Length\:=\:\frac{2}{3}\left(24\right)=16\:feet

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7 as it is 4 * 2 * 1

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4 years ago
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A coffee mixture contains beans that sell for $0.08 per pound and $0.32 per pound. If 110 pounds of beans create a mixture that
garik1379 [7]

Answer:

B = 87.08 pounds @ $0.32

A = 22.92 pounds @ $0.08

Step-by-step explanation:

given,

cost of beans (A)= $ 0.08/pound

and another beans cost (B) = $ 0.32 /pound

total weight of the pound = 110 pound

selling price of mixture = $ 0.27/pound

cost of each bean = ?                    

A + B = 110                                

A = 110 - B-------(1)                        

0.08 A + 0.32 B = 0.27 x 110

0.08 A + 0.32 B = 29.7                

Putting value of A                    

0.08(110 - B) + 0.32 B = 29.7

8.8 - 0.08 B + 0.32 B = 29.7

0.24 B = 20.9

B = 87.08 pounds @ $0.32

A = 22.92 pounds @ $0.08

8 0
4 years ago
Two gardeners can do the weekly yard maintenance in 8 minutes if they work together. The older gardener takes 12 minutes more th
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Answer:

Let x be the time taken( in minutes ) by younger gardener,

So, the one minute work of younger gardener = \frac{1}{x}

Also, the time taken by older gardener = (x+12) minutes ( given ),

So, the one minute work of older gardener = \frac{1}{x+12}

Total work done in one minute = \frac{1}{x}+\frac{1}{x+12}

Now, total time taken = 8 minutes,

Total work done in one minute = \frac{1}{8}

Thus,

\frac{1}{x}+\frac{1}{x+12}=\frac{1}{8}

\frac{x+12+x}{x^2+12x}=\frac{1}{8}

\frac{2x+12}{x^2+12x}=\frac{1}{8}

16x + 96 = x^2+12x

x^2 -4x -96=0

x^2 - 12x + 8x - 96=0

x(x-12) + 8(x-12)=0

(x+8)(x-12)=0

By zero product product property,

x + 8 =0 or x - 12 =0

⇒ x = -8 ( not possible ), x = 12

Hence, the time taken by younger gardener = 12 minutes,

And, the time taken by older gardener = 12 + 12 = 24 minutes.

6 0
3 years ago
Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many:
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ANSWER: Katie Must Plant 133 Shrubs On Friday.

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