Answer:
40/3, 172/3, respectively
Step-by-step explanation:
x + 9 = 2y
2x = 2y + 2
x + 9 = 2(2x - 2)
4x - 4 = x + 9
3x - 13 = 0
x = 13/3
y = 40/6
RT = 13/3 + 9 = 40/3
QS = 160/3 + 4 = 172/3
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
A = 16 over 49
b= 2 then 1 over 10
Answer:
bottom right.
Step-by-step explanation:
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Hello! I would love to help!
9. Basically, it is asking us to multiply 5.2 by 46.
5.2*46=239.2
So, your answer is 239.2 inches.
10. First, let's find out how many blocks she has left to run by subtracting the number of blocks she has already ran by the number of total blocks.
60-18=42
So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.
42/2=21
So, the answer is 21 minutes.
11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:
49.95+0.15m=61.20
Let's solve! Subtract both sides by 49.95
49.95+0.15m-49.95=61.20-49.95
Simplify
0.15m=11.25
Now, divide both sides by 0.15
0.15m/0.15=11.25/0.15
M=75
So your answer is 75 additional minutes.
Hope this helped! Comment if you have questions!
