The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.0 feet above the sidewalk?

A. 60 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation:

To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.

Therefore, the Correct Answer is A.

Q #1: A person weighed themselves at 160 lb. Three months later they weighed themselves at 130 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

A. 20%

B. 13%

C. 19%

D. 29%

Answer Explanation

the percentage change in weight is found by calculating change in weight over original multiplied by 100%.

First, find the change in weight over the 3 months

Change in weight lost= 1860-130=30 lb

Thus

The percent change in weight is 19% to the nearest whole number.
Q #2: Solve for w in the equation below.

A. w=rxy+z

B. w=(x/ry)+(z/r)

C. w=y(z+rx)

D. w=(x/ry)-(z/r)

Answer Explanation

We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).
Q #3: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 4/5

D. 18 9/10

Answer Explanation

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.