Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base. Who climbed a steeper mountain? Explain.

Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

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Sample Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Step-by-step explanation:

step-by-step explanation: it is d

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 .