The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"
"Kate purchased a slice of pizza and soda for $9"
"Biff purchased a burger, a slice of pizza and a soda for $13.50"
The equation for Louis's purchase is:
The equation for Kate's purchase is:
The equation for Biff's purchase is:
Keywords: Linear Equations, Variables
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Answer:
Total possible ways to select 6 teachers from 34 teacher are 
.
Step-by-step explanation:
It is given that total number of teachers at a school is 34.
The school director must randomly select 6 teachers to part in a training session.
Where, n is total possible outcomes and r is number of selected outcomes.
Total teachers = 34
Selected teachers =6
Total number of possible ways to select 6 teachers from 34 teacher is
Therefore total possible ways to select 6 teachers from 34 teacher are .
Answer:
216 cookies
Step-by-step explanation:
From the question,
Let the total cookies in the first place be x cookies.
Their ratio = 5:12:9
Total = 5+12+9 = 26.
Weiming share = (5/26)x = 5x/26
If weiming sold 28 cookies
⇒ (5x/26)-28
⇒ (5x-728)/28
Hence Weiming new share = (5x-728)/28 cookies
The new ratio is 1:8:6
The total cookies becomes = x-28
Therefore,
(1/15)(x-28) = (5x-728)/28
(x-28)/15 = (5x-728)/28
Crossmultiply
28(x-28) = 15(5x-728)
28x-784 = 75x-10920
Collect like terms
28x-75x = -10920+784
-47x = -10136
x = -10136/-47
x = 215.7
x ≈ 216 cookies
Answer:
1
Step-by-step explanation:
Use PEMDAS to solve the equation, and you will get the answer 1 for x
Answer:
X=-8
Step-by-step explanation:
4x+4=-32
Add -4 to both sides
4x=-32
decide both sides by 4
x=-8
