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tatyana61 [14]
3 years ago
5

Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in

Mathematics
2 answers:
amid [387]3 years ago
8 0

Answer:

23 games

Step-by-step explanation:

40.75 divide by 1.25 comes out 23.28

dezoksy [38]3 years ago
4 0

Answer:

g<u><</u>32.6

Step-by-step explanation:

1.25g+14.25<u><</u>55

1.25g+14.25-14.25<u><</u>55-14.25

1.25g<u><</u>40.75

1.25g/1.25<u><</u>40.75/1.25

g<u><</u>32.6

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A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 9.0 rev/min about a
Degger [83]

Answer:

7 rpm = 0.73 rad/s

Step-by-step explanation:

R = Radius of merry-go-round = 1.8 m

I_M= Moment of inertia of merry-go-round = 255 kg m²

I_C= Moment of inertia of child

ω = 9 rev/min

m = Mass of child = 24 kg

From the conservation of angular momentum

I\omega=I'\omega '\\\Rightarrow I\omega=(I_M+I_C)\omega'\\\Rightarrow \omega'= \frac{I\omega}{(I_M+I_C)}\\\Rightarrow \omega'=\frac{I\omega}{(I_M+mR^2)}\\\Rightarrow \omega'=\frac{255\times 9}{(255+24\times 1.8^2)}\\\Rightarrow \omega'=6.9\ rev/min

∴ New angular speed of the merry-go-round is 7 rpm = 7\times \frac{2\pi}{60}=\mathbf{0.73\ rad/s}

3 0
4 years ago
7. In triangle ABC, side AB is 2 cm shorter than side
Mamont248 [21]

Answer:

AC = 21, AB = 19, and BC = 22

Step-by-step explanation:

If x is the length of AC, then:

AB = x − 2

BC = x + 1

The perimeter is the sum of all three sides:

62 = x + x − 2 + x + 1

62 = 3x − 1

63 = 3x

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AC = 21, AB = 19, and BC = 22

3 0
3 years ago
Which answer is the solution set for the conjunction -6 &lt; 4x + 2 &lt; 6
Reptile [31]
Minus 2 to all

-8<4x<4
diide by 4
-2<x<1
7 0
4 years ago
Read 2 more answers
What is the answer to<br> (-6x-6)+(8x-6)
Otrada [13]
(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12

Hope this helps :)
8 0
3 years ago
Car X leaves Northtown traveling at a steady rate of 55 mph.  Car Y leaves 1 hour later following Car X, traveling at a steady r
Elis [28]
Unfortunately, you haven't shared the equations from which you're supposed to choose your answer.

But we can write our own.

When will the distance traveled by the 1st car = the distance traveled by the 2nd car?

55 miles + (55 mph)x = (60 mph)x

solve this for x:  55 miles = (60-55)x mph = 5 mph

x=11 hours

The two cars are the same distance from the starting point after 11 hours.
4 0
4 years ago
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