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ehidna [41]
3 years ago
9

Write each percent as a fraction and as a decimal to the nearest hundredth.

Mathematics
1 answer:
Nataly [62]3 years ago
8 0
Each as a fraction 42/100 35/100 18/100 100/100
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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
Maya is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does th
makkiz [27]

Answer:

9 dollars

Step-by-step explanation:

Since 6 is 2/3 of the total price, and half of 6 is 3, add three to 6 and you get 9.

8 0
3 years ago
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Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberrie
agasfer [191]

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

7 0
3 years ago
Eight less than a number
ycow [4]
N-8 or 8-n I would assume
8 0
3 years ago
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7.
tekilochka [14]

Answer:

I think around 15°c

Step-by-step explanation:

PLEASE accept me in brainly

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