Carrie is making a temporary ramp from the ground to the top of his patio so that he can roll a cart up to it to move furniture in. The surface of the patio is 3‘9“ above the ground and Gary wants the ramp to have a slope of no more than 0.375. What is the shortest horizontal distance he can have from the base of the patio to the base of the ramp

9514 1404 393

  10 ft

Step-by-step explanation:

The slope is rise/run. Using Gary's numbers, we have ...

  m = rise/run

  0.375 ≥ (3.75 ft)/run

  run ≥ (3.75 ft)/0.375

  run ≥ 10 ft

The shortest horizontal distance to the base of the ramp is 10 feet.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.