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poizon [28]
2 years ago
10

Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no rep

eats. If the piggy bank has $5.50. how many more quarters does Susan need before she has a quarter from each of the 50 states?
HELP I WILL GIVE POINTS AND BRAINLIEST​
Mathematics
1 answer:
KatRina [158]2 years ago
3 0

Answer:

She needs 32 quarters.

Step-by-step explanation:

d = dime   q = quarters

d + q = 28   so    d = 28-q

0.1d + 0.25q = 5.50

0.10 * (28-q) + 0.25q = 5.50

2.80 - 0.10q + 0.25q = 5.50

0.15q = 5.50 - 2.80

0.15q = 2.70

q = 2.70 / 0.15

q = 18 quarters (she has)

50-18= 32 quarters (she needs)

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?
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Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = \frac{1}{3} cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 \frac{2}{3} = \frac{8}{3} cm

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Let the number of cubes that fill the prism = x

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Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

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<u>So , The number of cubes to fill prism  </u>

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Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

Hence The number of cubes which fill the prism is 24  Answer

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