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Sliva [168]
3 years ago
15

She has dimes and quarters 94 coins total the value is $19.30. How many of each does she have?

Mathematics
1 answer:
romanna [79]3 years ago
8 0

So setting up an equation might make this problem easier so I did.

The first equation is 0.25x+0.10y=19.30

The second equation is x+y=94

I forgot what to do after that so I started playing around with numbers using the two equations, and I ended up getting 28 dimes and 66 quarters.

0.25 (66) + 0.10 (28) = 19.30

66+28=94

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Find the distance between each pair of points. Round your answer to the nearest tenth. (-6, -5) and (2, 0)
Anna71 [15]

Answer:

The answer is

<h2>9.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

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We have the final answer as

<h3>9.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
alex41 [277]
The two gears are shown n the diagram below.

ω₁ and ω₂ are the angular velocities of the larger and smaller gears respectively.

Part 1.
When the smaller gear makes one revolution, it turns through an angle of 2π radians or 360°.
Because the gears do not slip, the larger gear turns through an angle of θ, so that
 (θ radians)*(8 in) = (2π radians)*(2 in)
or
8θ = 4π
θ = π/2 radians = 90°

Answer: 90.0°

Part 2.
When the larger gear makes one revolution, it turns through an angle of 2π radians.
Because the gears do not slip, the smaller gear turns through an angle φ, such that
(2 in)*(φ radians) = (8 in)*(2π radians)
or
2φ = 16π
φ = 8π radians
    = (8π radians)*(1/2π rotations/radian)
    = 4 rotations

Answer:  4 rotations

4 0
3 years ago
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