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Neporo4naja [7]

4 years ago

7

Toni pizzeria deposited in checking account,the deposit included 4 fifty-dollar bills, 8 twent dollar bills, 16 ten dollar bills

,2 five dollar bills, 16 one-dollar bills, 29 quarters, 14 dimes, 9 nickles and 17 pennies. What was the total deposit?

1 answer:

seropon [69]4 years ago

4 0

The total deposit is $481.10

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A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the

Rom4ik [11]

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

$V_s=\frac{4}{3} \pi r^3$

The radius is half the diameter. The diameter of the sphere is 10, thus:

$r = d/2 = 10/2 = 5$

5^3 = 5*5*5 = 25*5 = 125

$V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125$

The volume of a cylinder, which will be the shape of the increase in water, is the following:

$V_c=\pi r^2 h$

We know the radius r, as we know the diameter.

$r=d/2=40/2=20$

$V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400$

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

$V_s = V_c$

$\frac{4}{3} * 125 * \pi = 400 * h * \pi$

We can get rid of pi by dividing both sides by pi:

$\frac{4}{3} * 125 = 400 * h$

And now divide both sides by 400:

$\frac{4}{3} * \frac{125}{400}= h$

Just reversing it and putting h to the left:

$h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}$

I see that I can divide both the numerator and the denominator by 4:

$h =\frac{125}{3 * 100}= \frac{125}{300}$

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

$h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}$

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

$\frac{5}{12}$ ≈ $0.416666667$ ≈ $0.42$

7 0

3 years ago

Which of the following ratios are equivalent to 20% ? 5:15 , 1:5 , 2:5 , 3:12 , 4:20

o-na [289]

Answer:

The correct ratios are:

1:5

4:20

Step-by-step explanation:

I hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you give me brainliest pls, im trying to rank up this month, if not then not problem! ty and let me know if you need anything else!

8 0

2 years ago

Read 2 more answers

The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha liv

Novosadov [1.4K]

Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

6 0

3 years ago

Can someone help with this with an explanation?

Stella [2.4K]

I hope this helps you

x^2+x-6 = (x+3)(x-2)

x => +3

x => -2

x^2-2x-15= (x-5)(x+3)

x => -5

x => +3

(x+3)(x-2)/(x-5)(x+3)

x-2/x-5

3 0

4 years ago

Julie is doing an experiment. She is studying a cell that triples every hour. She started the experiment with 24 cells. How many

gtnhenbr [62]

I think the answer would be 288, i hope this helps

7 0

3 years ago