Answer:
x=2
Step-by-step explanation:
6x+2x-9=7
Combine like terms on each side of the equation
8x-9=7
Add 9 to each side
8x=16
Divide by 8 on each side
x=2
Answer:
y-4=-10(x-1)
Step-by-step explanation:
Point-slope form is:
We are given the slope of -10 and the point (1,4). So:
m = -10
x1 = 1
y1= 4
Replace the appropriate values:
So, y-4=-10(x-1) should be the point-slope equation.
Given that <span>Jack rakes the yard in 5 hours and Jill rakes the yeard in 8 hours. Let the amount of time that it takes them to rake the yard together be t, then:
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Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
Answer:
9/20 or .45
Step-by-step explanation:
3/4 x 3/5 = .45 or 9/20
