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Rashid [163]
2 years ago
8

Math short answer question! Please help!

Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0
Part 1:

The circumference of the smaller circle is...
C = 2*pi*r
C = 2*pi*2
C = 4*pi


The circumference of the larger circle is...
C = 2*pi*r
C = 2*pi*8
C = 16*pi


The ratio of the two circumferences is
16*pi:4*pi = 4:1
which means that for every single full rotation of the larger gear, the smaller gear will complete four rotations

If we flip things around, we will have the ratio 4:1 turn into 1:0.25 (divide both parts by 4). Now this says that for every single rotation of the smaller gear, the larger gear rotates 1/4 or 25% of the larger circle circumference. 

1/4 of 360 degrees is 90 degrees

So the larger gear will rotate 90 degrees when the small gear completes a full revolution. 

Answer: 90 degrees

=====================================================

Part 2:

This was pretty much answered in part 1 above. The answer here is 4. The circumference of the larger gear is 4 times larger (since the radius is 4 times larger), so the gear ratio here is 4:1.

Answer: 4

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Answers:

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Those are the costs for a whole small pizza.

==========================================================

Explanation:

Let

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  • y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

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Multiply both sides by the reciprocal of 2/3 to isolate x

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(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

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----------------------------

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

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Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

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Step-by-step explanation:

Let d be the number of days that Kyla exercises, and let m represent the total numbers of minutes she exercise.

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The relationship between the number of days that Kyla exercise in the total minutes that she exercises is linear, where d is the independent variable, and m is the dependent variable which depends on the number of days she exercise.

[ad d increases m increases by rate of 60 minutes per day]

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