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 number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.

Let the unknown length of the x. The resulting triangle is shown below.

We use the Pythagoras theorem as follows to find the unknown value of x as:

Thus, the value of unknown side of the triangle is 21.8 feet.

To convert millilitres (mL) to litres (L), we use the fact that:

1 L=1000 mL

So, to convert 2,500 mL to litres:

=2.5 L

Thus, the patient needs 2.5 litres of saline.

The correct answer is C. 2.5 L.

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.

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

First, we convert 2 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.

To find the circumference of a circular garden, we can use the formula:

C=π×d

Where:

• C = Circumference
• π = 3.14 (as given)
• d = Diameter

Step 1: Substitute the given values into the formula

The diameter d is 14 metres, so:

C=3.14×14

Step 2: Perform the multiplication

C=43.96 metres

Final Answer:

The circumference of the garden is 43.96 metres.

The correct answer is B. 43.96 metres.

To find the cheapest option, we find the amount the consume will spend for each option given.:

• 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
• 3 Packs of Orange will cost $16+$12=$28
• 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
• 5 packs of cream Soda will cost 5($7)=$35

From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

P-At=-kr

Subtract P on both sides

P-P-At=-kr-P

-At=-kr-P

Divide both sides by -t

-At/-t=(-kr-P)/-t

A=(kr+P)/t

Given:

• 2 teaspoons of baking powder for every ½ cup of flour.
• We are using 5 cups of flour.

Step 1: Determine how many teaspoons are needed per cup of flour.

Since the recipe calls for 2 teaspoons for every ½ cup of flour, the number of teaspoons required for 1 full cup of flour would be:

2 teaspoons×2=4 teaspoonspercup.

Step 2: Calculate how many teaspoons are needed for 5 cups of flour.

Now, multiply the number of teaspoons needed for 1 cup of flour by 5:

4 teaspoonspercup×5 cups=20 teaspoons.

Thus, the number of teaspoons of baking powder needed for 5 cups of flour is 20 teaspoons.

Therefore, the correct answer is D. 20 tsp.