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REY [17]
3 years ago
8

1. A motorboat leaves a harbor and travels at an average speed of 15 mph toward an island. The average speed on the return trip

was 10 mph. How far was the island from the harbor if the total trip took 5 hours
Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

  30 miles

Step-by-step explanation:

Let d represent the distance to the island. The relation between time, speed, and distance is ...

  time = distance/speed

so the total time for the round trip is ...

  d/15 +d/10 = 5

Multiplying by 30, we get

  2d +3d = 150

  d = 150/5 = 30

The island was 30 miles from the harbor.

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What is the sum of the difference?
Alona [7]

Answer:

A. 9x^4 and 3x^5y

Step-by-step explanation:

there are two ways to solve this:

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You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations

the second way is the regular way

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8 0
3 years ago
Help! BRANLIEST and 300 points!!!
suter [353]
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4 0
3 years ago
Read 2 more answers
1. Howard's CD House sells new CDs for $15 each and used CDs for $6 each. Bre'anna bought 51 CDs and spent a
Yanka [14]

The numbers of new CDs is 30 and the old CDs is 21.

To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.

<h3>System of Equations</h3>

This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;

  • Let n represents numbers of new CDs
  • Let u represents numbers of old CDs

The equations can be represented as

n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)

Let's take equation (i)

Making n the subject of formula

n + u = 51\\n = 51 - u...equation(iii)

we can put equation (iii) into equation (ii)

15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21

Let's put the value of u into equation (i)

n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30

From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.

Learn more on system of equations here;

brainly.com/question/13729904

4 0
3 years ago
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