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lesya [120]
2 years ago
9

Jenny, Keith, and Joanna participated in a mini-

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

Answer:

  • Jenny 1.75 miles, Keith 4.75 miles, Jonna 9.5 miles

Step-by-step explanation:

<u>Distance per person:</u>

  • Jenny - x, Keith - y, Joanna - z

<u>Equation as per given:</u>

  • y = x + 3
  • z = 2y = 2(x + 3)
  • x + y + z = 16

<u>Substitute and solve for x:</u>

  • x + (x + 3) + 2(x + 3) = 16
  • 2x + 3 + 2x + 6 = 16
  • 4x = 7
  • x = 7/4 = 1.75

Then

  • y = 1.75 + 3 = 4.75
  • z = 4.75*2 = 9.5
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2 years ago
Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
CaHeK987 [17]

Answer:

Carlos has practiced piano for \frac{29}{20}=1\frac{9}{20} hours.

Carlos needs to practice \frac{11}{20} hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

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Make a common denominator:

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Add numerators:

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Therefore, Carlos has practiced piano for \frac{29}{20} hours.

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2-\frac{29}{20}

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\frac{40-29}{20}

\frac{11}{20}

Therefore, Carlos needs to practice \frac{11}{20} hours before going to bed in order to meet his goal.

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3 years ago
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