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12345 [234]
3 years ago
5

Travis has hired Charlie and Dora to plant flowers. Dora can plant 150 flowers in the same time it takes Charlie to plant 120 fl

owers, which can be shown using the following relationship where d and c are the respective rates at which Dora and Charlie can plant flowers:
150 over d equals 120 over c

Also, Dora can plant 18 flowers more per day than Charlie.

How many flowers can Charlie plant per day?
Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

  72

Step-by-step explanation:

If the rates d and c are flowers per day, we have ...

  150/d = 120/c

  d -c = 18

__

Multiplying the first equation by cd/30, we have ...

  5c = 4d

Multiplying the second equation by 4 gives ...

  4d -4c = 72

Adding these equations together, we get ...

  5c +4d -4c = 4d +72

Simplifying and subtracting 4d leaves ...

  c = 72

Charlie can plant 72 flowers per day.

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Ice has a density of 0.92 g/cm3. What is the volume of 100 grams of ice? If the ice completely melted, what would the volume of
kicyunya [14]

Hello!

To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.

In this formula, d is the density, m is the mass and V is the volume.

1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.

0.92g/cm³ = 100g/V (multiply both sides by V)

0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)

V = 108.69 cm³.

The volume of 100 grams of ice is about 108.69 cm³.

2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.

1.00g/mL = 100g/V (multiply both sides by V)

1.00g/mL · V = 100g (divide both sides by 1.00g/mL)

V = 100 mL

Therefore, the volume of the melted ice is 100 mL.

<u>Final answers</u>:

  1. 108.69 g/cm³
  2. 100 mL
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