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elena55 [62]
4 years ago
11

admission to a neighborhood pool cost $2.50 and $4.50 for adults. The total number of children and adults that attended the pool

for one day was 170. The total amount of money collected for the day was $575. How many children and adults were at the pool?
Mathematics
1 answer:
9966 [12]4 years ago
4 0
90 and 70 because that bahajksjsniskw
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A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b
Step2247 [10]
Posted a picture showing the solution. Everything is on it, including calculations.
The answer is 142 square inches (or 142 in.^2) same thing.

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6 0
3 years ago
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15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
3 years ago
Which ten thousand does 117,290 round to
Leni [432]

Answer:

120,000

Step-by-step explanation:

because seven in greater than 5 so it would round up

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A candy store sells 2 ounces of chocolate for $0.80 and 3 ounces of chocolate for $0.90. How much does the store charge per ounc
Arte-miy333 [17]
Divide the 2 ounces into the .80 which would be 0.40 per ounce for the 2 ounces chocolate and divide the 3 ounces into the .90 which would be 0.30 per ounce for the 3 ounces of chocolate
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