Find the rate at which you work, that is, the # of walls painted per hour:
13 1/3 walls 40/3
------------------ = ---------- wall per hour
14 1/4 hr 57/4
Keep 40/3 as it is; invert the divisor (57/4) and then multiply the result by 40/3:
40 4 160 wall
------ * ------ = --------------- = approx. 0.94 wall in one hour, or 160/171 wall / hr
3 57 171 hr
Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Answer:
The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures.
Step-by-step explanation:
Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.