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Andrews [41]
3 years ago
6

A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 13 dollars and 60 cents altogether, how many quart

ers does he have in his bank?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0
11 i think check I am not sure I think I did this problem already
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In a certain library the first shelf is 15.0 cm off the ground, and the remaining four shelves are each spaced 38.0 cm above the
baherus [9]

Answer:

1747.9 J

Step-by-step explanation:

The work done to lift a book by a certain height \Delta h is

W=mg\Delta h

where

m = 1.40 kg is the mass of one book

g=9.8 m/s^2 is the acceleration due to gravity

The first shelf is 15.0 cm (0.15 m) from the ground, and it can be filled with 28 books. So, the work done to fill the first shelf is

W_1=28mg\Delta h=28(1.40)(9.8)(0.15)=57.6 J

The 2nd shelf is 38.0 cm above the first one, so its height from the ground is

\Delta h =15.0+38.0 =53.0 cm=0.53 m

It can also contain 28 books, so the work done to fill this shelf is

W_2=28 mg\Delta h=28(1.40)(9.8)(0.53)=203.6 J

The height of the third shelf is

\Delta h =15.0+38.0 +38.0=91.0 cm=0.91 m

It can also contain 28 books, so the work done to fill this shelf is

W_3=28 mg\Delta h=28(1.40)(9.8)(0.91)=349.6 J

The height of the 4th shelf is

\Delta h =15.0+38.0 +38.0+38.0=129.0 cm=1.29 m

It can also contain 28 books, so the work done to fill this shelf is

W_4=28 mg\Delta h=28(1.40)(9.8)(1.29)=495.6 J

The height of the 5th shelf is

\Delta h =15.0+38.0 +38.0+38.0+38.0=167.0 cm=1.67 m

It can also contain 28 books, so the work done to fill this shelf is

W_5=28 mg\Delta h=28(1.40)(9.8)(1.67)=641.5 J

Therefore, the total work done is:

W=W_1+W_2+W_3+W_4+W_5=57.6+203.6+349.6+495.6+641.5=1747.9 J

6 0
3 years ago
2 balloons and 3 cakes cost £29.
Mama L [17]

Answer:

1 balloon is 4/ 1 cake is 7

Step-by-step explanation:

2 balloons is 8/ 3 cakes are 21 add together you get 29.

4 0
2 years ago
What would a monthly payment be on a purchase of a $10,000 car at a 5.9% for 4 years?
gizmo_the_mogwai [7]
The current monthly pay can be calculated as follows;
A=p(1/r/100)^n
A=10000
r=5.9/12=0.5%
10000=p(1+0.5/100)^(4*12)
10000=p(1.005)^48
p=10000/(1.005)^48
p=7,871
the monthly payment will be:
7871/12
=$655.92
5 0
3 years ago
Read 2 more answers
Which equation best represents the line graphed above? x = –1 x = 1 y = –1 y = x – 1
White raven [17]

I think you forgot the graph. Please add it.

8 0
2 years ago
Read 2 more answers
Here are sketches of four triangles.
baherus [9]

Answer:

3.4

Step-by-step explanation:

If we look at the top left triangle and the triangle with x, we notice that they are similar (since they have a 57° and a right angle). This means that 4 / 1 = x / 0.84, which means that x = 3.4.

7 0
2 years ago
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