in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two

and 3/7 mile on day three,,

how many total miles does the athlete swim in the given week

Answers

Answer 1

Answer: We'll have to add up all the fractions.
First, find the LCM of the denominators.
To do this, we'll use the listing method.

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, all the way to 140.
5: 5, 10, 15, 20, 25, 30, 35, all the way to 140.
7: 7, 14, 21, 28, 35, 42, 49, all the way to 140.

So, 140 is the Least Common Multiple.

Multiply the numerator of 1 as many times you multiplied 4 to get to 140, which is 35.
1 x 35 = 35.

Multiply the numerator of 2 as many times you multiplied 5 to get to 140, which is 28.
2 x 28 = 56

Multiply the numerator of 3 as many times you multiplied 7 to get to 140, which is 20.
3 x 20 = 60.

So: 35/140 + 56/140 + 60/140
=35/140 + 116/140
=151/140
=1 11/140

So, the swimmer swam 1 and 11/140th of a mile.

Answer 2

Answer:

Step-by-step explanation:

We’ll have to add up all the fractions.

First, find the LCM of the denominators.

To do this, we’ll use the listing method.

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, all the way to 140.

5: 5, 10, 15, 20, 25, 30, 35, all the way to 140.

7: 7, 14, 21, 28, 35, 42, 49, all the way to 140.

So, 140 is the Least Common Multiple.

Multiply the numerator of 1 as many times you multiplied 4 to get to 140, which is 35.

1 x 35 = 35.

Multiply the numerator of 2 as many times you multiplied 5 to get to 140, which is 28.

2 x 28 = 56

Multiply the numerator of 3 as many times you multiplied 7 to get to 140, which is 20.

3 x 20 = 60.

So: 35/140 + 56/140 + 60/140

=35/140 + 116/140

=151/140

=1 11/140

So, the swimmer swam 1 and 11/140th of a mile.

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Answers

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Joanna bought a car and after 5 years of payments, she paid $6,250. The initial loan for the car was $5,000. What was the interest rate on Joanna's loan for the 5 years?HELP ME PLS

Answers

Answer:

Step-by-step explanation:

6,250-5000

1,250

divide that by 5

you get 250

250/5000= 0.05

multiply that by 100 to get the percentage (interest rate)

so the answer is a 5% interest rate

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5

If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5

The MRC will be the same since the function is an exponential function.

The multiplicative rate of change of the function f(x) = 2 * 5^x is 5