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sweet [91]
3 years ago
7

A claw arcade machine contains stuffed animals and mystery boxes. There are 51 items in the machine. Winning a stuffed animal ha

s twice as many favorable outcomes as winning a mystery box. How many of each item is in the machine?
Mathematics
1 answer:
Oliga [24]3 years ago
4 0
Answer: 34 stuffed animals & 17 mystery boxes.

First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.

The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.

17 x 2 = 34

As for the mystery boxes, you need to multiply it by one.

17 x 1 = 17.

In summary, the answer is 34 stuffed animals and 17 mystery boxes.
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Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length
nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

Therefore, the height of the statue is 272 inches.

5 0
3 years ago
What is the distance between points (4,7) and (-3,6) using the Pythagorean theorem
uysha [10]
A² + b² = c². 
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One leg is 7 units and the other is 1 unit.
7² is 49 and 1² is 1. 
49 + 1 = 50 
√50 ≈ 7.071. 
Hope this helps!
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Ronan spent $306 for 17 tickets how much will one ticket cost
sdas [7]
Each ticket cost 18$
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Artemon [7]
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7 0
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Divide (x3 - 2x² + 6x - 8) by (x - 2)<br> -<br> How can I (x3 - 2x² + 6x - 8) by (x - 2)
Blababa [14]

Answer:

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Step-by-step explanation:

Polynomial long division works for this. The operations are performed in much the same way as for numerical long division.

4 0
2 years ago
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