Janelle can walk 3 3/4 miles in 1 1/2 hours. at this rate how many miles can janelle walk in 4 hours

10 hours

Step-by-step explanation:

We can use our knowledge in proportion to solve this question.

BUT first, we need to convert all our mixed numbers to improper fractions

3 3/4 = 15/3

1 1/2 = 3/2

We can now proceed to answer the question.

Let x = number of miles jane can work in 4 hours

Using proportions;

3 3/4 miles = 1 1/2 hours

x = 4 hours

To be able to make our x subject of formular, we need to cross multiply and then divide multiply bothside, but before the lets first replace our mixed numbers by the improper fractions

15/ 4 miles = 3/2 hours

x = 4 hours

we can now cross multiply

Then we have;

3/2 × x = 15/4 × 4

3x / 2 = 15 × 4/4

3x / 2 = 15

we wil now have to multiply 2/3 to bothside ofvtge equation to be able to make x stand alone.

Hence;

2/3 × 3/2 X = 15 × 2/3

x = 30/3

x = 10

Therefore Janelle can walk 10miles in 4 hours.

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step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .