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?

The scientist found that as water temperature increases, the fish population decreases. This means that the two variables move in opposite directions—when one increases, the other decreases.

This type of relationship is called a negative correlation.

we are tasked to find the number of cups of flour that will be used to make 90 cookies.

This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

Solve the value of x by cross-products

Next, we convert the mixed fraction into improper fraction in order to carry out multiplication

The baker needs 15.75 cups of flour to make 120 cookies.  15.75 in mixed fraction is  

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

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

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  .

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

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.

the mean of a data set is the sum of the scores divided by the number of tests.

Total test scores =99+93+67+ 48+ 92+ 87=486

Number of tests =6

Mean test score =486/6=81

The mean test score is 81.

We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.

Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+2)*x

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).