Answer:
B. 5 ≤ n≤ 8
f. 10 ≤ S ≤ 16
C. c=2n
d. S = c
Step-by-step explanation:
Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?
She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.
A. 5<n<8
B. 5≤ n≤8
C. c=2n
d. S = c
e. 10<c<16
f. 10≤S≤16
Let
n = number of people at the get together,
c = number of cups of water,
S = number of scoops of lemonade powder.
She expects a total of 5 to 8 people to be there (including herself).
B. 5 ≤ n ≤ 8
She plans to prepare 2 cups of lemonade for each person.
With minimum of 5 people and maximum of 8 people
2 × 5 = 10
2 × 8 = 16
f. 10≤S≤16
The number of cups of water is twice the number of people at the party
C. c=2n
Number of scoops of lemonade powder is equivalent to number of cups of water
d. S = c
The volume for a pyramid is

, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:

. Simplifying the right side we have

. Multiply both sides by 18 to get rid of the fraction and we have

, so x = 117.575
The <em>approximate increase</em> in Area of the parking lot is about 133%
Area of a rectangle = Length × width
<u>Initial Area of parking lot</u> :
- 75 feets × 150 feets = 11250 ft²
<u>New Area of parking lot</u> :
Width = 75 + 100 = 175 feets
Length = 150 feets
Area = 175 × 150 = 26250 ft²
<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :
((16250 - 11250) / initial Area) × 100%
(15000 / 11250) × 100% = 133.33%
Therefore, the <em>approximate increase</em> on area of lot is 133%
Learn more : brainly.com/question/18109354