Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step explanation:
We are given:
Y is inversely proportional to x, when Y = 7, x = 4.
We need to tell if the statement is True or False: the constant of proportionality, k, is 20.
Y is inversely proportional to x
We can write it as: 
Now, we need to check when Y=7, x = 4 is true or false
We are given k = 20
Now, I can find value of y, by putting values of k and x in the equation:
When we put x = 4, and k =20, we get Y=5 and not Y=7
So, The given statement Y = 7, x = 4 is False.
Answer:
Step-by-step explanation:
Use these formulas
Now solve
Answer:
The cost of 1 cupcake = $3.75.
Step-by-step explanation:
Let the cost of one cupcake = $ x.00
Now, the money spent by Cherie on 2 cupcakes = 2 ($x.00) = $2x
Also, the money spent by Sonya on 4 cupcakes = 4 ($x.00) = $4x
Now, according to the question:
$2x + $12.50 = $4x + $5.00
or, 2x + 12.50 = 4x + 5
⇒ 4x - 2x = 12.50 - 5
or, 2x = 7.50
or, x = 7.50/2 = 3.75
or, x = $3.75
Hence, the cost of 1 cupcake = $3.75.
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
