Answer:
5
Step-by-step explanation:
If the contestant has 9 minutes for 45 hotdogs, then you would have to divide 45 by 9 to get the answer. 45 divided by 9 is 5.
Then, to see if your answer makes sense, you would multiply 9 by 5 to see if you get 45, which you do.
You do parenthesies
exponents
multiply
divide
add
subtract
Answer:
m<1 = 48°
m<2 = 132°
m<3 = 132°
m<5 = 48°
Step-by-step explanation:
Given:
m<4 = 48°
Required:
m<1, m<2, m<3, and m<5
Solution:
m<1 = m<4 (alternate exterior angles are congruent)
m<1 = 48° (substitution)
m<2 = 180° - (m<1) (linear pair theorem)
m<2 = 180° - 48° (substitution)
m<2 = 132°
m<3 = m<2 (alternate interior angles are congruent)
m<3 = 132° (substitution)
m<5 = m<4 (corresponding angles are congruent)
m<5 = 48° (substitution)
Answer-4 5x1=5 5×2=10 5x3 =15 5x4=20
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.
