Answer: Choice B
rose bush: $10, shrub: $4
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Work Shown:
x = cost for one rose bush
y = cost for one shrub
Rob's equation: 8x+5y = 100
Amy's equation: 8x+8y = 112
Subtract the equations straight down (match terms)
8x - 8x = 0x = 0, x terms go away
5y-8y = -3y
100-112 = -12
After those three subtractions, we end up with this new equation: -3y = -12
That equation solves to y = 4 when you divide both sides by -3
Use this value of y to find x
8x+5y = 100
8x+5(4) = 100 ... replace y with 4
8x+20 = 100
8x+20-20 = 100-20 .... subtract 20 from both sides
8x = 80
8x/8 = 80/8 ... divide both sides by 8
x = 10
We end up with x = 10 and y = 4 pairing up. The two equations, when graphed, cross at the location (10,4). One rose bush costs $10 and one shrub costs $4.
19 out come
9 for the first 3 questions
10 for the last 5 questions
Hope this helps ;)
Answer:
A. -5
Step-by-step explanation:
First of all this is a line that shows a negative slope.
Secondly, the formula for slope is rise/ run.
5 is your rise and 1 is your run, therefore: -5/1
And this can be reduced to : -5
Answer:
8 = m, No solution
Step-by-step explanation:
1. -88 = -3(4m + 5) - (1 - 3m)
-88 = -12m - 15 - 1 + 3m : distributed into parentheses
-88 = -9m - 16 : combined like terms
+16 + 16 : adding to cancel out
-72 = -9m
/-9 /-9 : dividing by -9 to cancel
8 = m
2. -4(5k - 7) + 2k = -2(9k + 5)
-20k + 28 + 2k = -18k - 10 : distributed into parentheses
-18k + 28 = -18k - 10 : combined like terms
+ 10 + 10 : adding to cancel out
-18k + 38 = -18k
+18k +18k : adding to cancel out
38 = 0k (No solution)
You would have to multiply 3.14x29.8 which is 93.572, or 93.6 to the nearest tenth
