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
First do PEMDAS
There's no parenthesis. So move on to exponent. There's also no exponents. Move on to multiplication. There it is.
12×5=60.
There's no division so now next one is addition. Hey look! There is addition.
60+55=115.
So 115 is your answer.
Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
To make the inequality, we will use the ≥ sign to determine how many more tickets we will need. Before we write the inequality, let's see how much money was already made by the present tickets. 70 x 9.50 = $665.
We can write the inequality as $665 + $9.50t ≥ $1000 where t is the number of tickets sold. Now we can solve
$665 + $9.50t ≥ $1000, subtract 665
$9.50t ≥ $335. Now isolate the t by divide 9.50 to both sides
t ≥ 35.26 which we can round up to 36 because you cant sell 35.26 tickets.
So you need at least 36 more tickets to earn at least $1000