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Artemon [7]
4 years ago
6

You are a stone sawyer. The scale drawing you are using to cut paving stones for a driveway shows a measurement 2 inches wide an

d 4.5 inches long. You are going to cut stones 18 inches long. How wide do they need to be?
Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
3 0

Answer:

The actual width of cut stones is 8 inches

Step-by-step explanation:

The scale drawing you are using to cut paving stones for a driveway shows a measurement 2 inches wide and 4.5 inches long.

Scale drawing length = 4.5 inches

Scale drawing breadth = 2 inches

Actual length = 18 inches

Let x be the actual width

So,\frac{4.5}{2}=\frac{18}{x}

x=\frac{18 \times 2}{4.5}

x=8

Hence the actual width of cut stones is 8 inches

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9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

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4 years ago
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8 0
4 years ago
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allsm [11]

Answer:

Harry is 7 more years older then larry

Step-by-step explanation:

Harry is 7 more years older then larry because if you sutract 7-14 you get 7

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3 years ago
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Answer:

Six friends spend $84 on dinner and split the bill evenly. Write a multiplication equation to solve how much each person paid. f=variable each person paid.

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