Candice is taking a group nature hike in a park. There is a $11.00 fee just to enter the park. In addition, the tour
group charges $0.14 per mile they hike. She brought
$81.00 with her. Find the maximum amount of miles
Candice can hike.

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

500 miles

Step-by-step explanation:

To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.

11 + 0.14x = 81

Subtract 11 from both sides. This undoes the +11.

0.14x = 81 - 11

Subtract 11 from 81 to get 70.

0.14x = 70

Divide both sides by 0.14. This undoes the multiplication by 0.14.

x = 70/0.14

I recommend converting 0.14 into a fraction. That would be 7/50.

x = 70/(7/50)

Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.

x = (70 * 50)/7

Multiply 70 by 50 to get 3500.

x = 3500/7

Divide 3500 by 7 to get 500.

x = 500

At max, Candice can hike 500 miles.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w