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?
22 feet
19.5 feet
32.5 feet
18 feet
Correct Answer : D
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.
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Correct Answer is D
Explanation
We are asked to make z the subject of the formula.
First, we subtract y/x from both sides of the equation
Thus, the formula for finding the value of z is  .
Correct Answer is D
Explanation
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
Correct Answer is B
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.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,
We solve the value of x by cross-products.
Therefore, 144 students will enroll for a dental hygiene program.
Correct Answer is A
Explanation
We are tasked to find the unknown values of x in the given equation.
First, we add 8 to both sides of the equation.
Next, we apply the absolute rule:
If   , a>0, then u=a or u=-a
From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes
Solving for x
The second condition (u= -a) becomes
Solving for x
Thus, the value of x is 4 or -3
Correct Answer is C
Explanation
We are asked to find the fraction of pizza the three friends shared equally.
First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:
First friend eats =1/4 of 1=1/4*1=1/4
Remaining fraction of the pizza=1-1/4=3/4
Now, the three friends share 3/4 amongst themselves equally. So, each friend gets
The three friends each gets 1/4 of the pizza.
Correct Answer is B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
Correct Answer is B
Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
A recipe of 3.4 teaspoons is equal to 17.0 mL.
Correct Answer is C
Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
Correct Answer is A
Explanation
The number of boxes to fit the room is found as volume of the room divided by the volume of the box.
Number of boxes:
\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)
The approximate number of boxes that can be stored in the room is approximately 111 square feet.
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