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 1.5 feet above the sidewalk?

A. 22 feet

B. 19.5 feet

C. 32.5 feet

D. 18 feet

Answer Explanation:

The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.

Therefore, the Correct Answer is D.

Q #1: A pharmaceutical company’s stock price was $45.32 on Monday. On Tuesday, the price went up $3.25. On Wednesday, the price decreased from Tuesday’s price by $1.73. On Thursday, the price went up $0.89 from Wednesday’s price. Which of the following was the final price on Thursday?

A. $46.84

B. $47.73

C. $45.23

D. $48.57

Answer Explanation

we need to find the price of the stock on Thursday.

First, find the price changes in each day of the week as follows:

Monday’s price was $45.32

Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57

Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84

Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73

Therefore, the stock price on Thursday was $47.73.
Q #2: A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?

A. 13/15

B. 6 7/15

C. 8 2/5

D. 5 2/5

Answer Explanation

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)

A. 6 feet

B. 15.6 feet

C. 9.8 feet

D. 20 feet

Answer Explanation

The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.

The value of x is found as:

The value of the unknown leg side of a triangle is about 9.8 feet.