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Fantom [35]
3 years ago
5

An original piece of artwork is 2.75 feet by 2.25 feet a reprint of the artwork is 22 inches by 18 inches are the pieces similar

? if so what is the ratio of their corresponding side lengths?
Mathematics
1 answer:
Effectus [21]3 years ago
4 0
Yes, the Repainted Artwork is similar to the Original. The 22*18 inch repaint can be recaclculated into a 1.83*1.5 feet repaint. Both can be multiplied by about 1.5 to equal 2.75*2.25. Therefore, the ratio is 1.5.
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The length of a rectangular poster is 7 inches more than twice its width. Find the length of the poster if its perimeter is 110
lakkis [162]
Let W = width of poster 
Since the length is 7 inches longer than the width, the length is represented by W + 7. 
We know the perimeter is equal to twice the length + twice the width and that is 110 inches. Mathematically that looks like: 
2(W + 7) + 2(W) = 110
Now let's solve for W: 

2(w+7)+2w=110

Step 1: Simplify both sides of the equation.

2(w+7)+2w=110

Simplify: (see simplify steps down below)

4w+14=110

Step 2: Subtract 14 from both sides.

4w+14−14=110−14

4w=96

Step 3: Divide both sides by 4.

4w4=964

w=24

Answer:

w=24

Simplify Steps:
(2)(w)+(2)(7)+2w=110(Distribute)

2w+14+2w=110

(2w+2w)+(14)=110(Combine Like Terms)

4w+14=110



6 0
4 years ago
A coffee shop sells 5 different types of cake and 6 different kind of drinks. Ruby wants to order a cake and a drink. How many d
Svetradugi [14.3K]

Answer:

She could choose 30 different combinations of cake and drink

Step-by-step explanation:

A coffee shop sells 5 different types of cake and 6 different kind of drinks.

This means that:

For each type of cake, there are 6 different kind of drink.

At all, there are 5 different types of cake.

So

6*5 = 30

She could choose 30 different combinations of cake and drink

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0.06p = 0.72

p = 12
The original price was $12.

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6,500 ft, no discount
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