A boy earned $435, $230, and $562 for 3 consecutive months. How much did he earn in the fourth month so that he gets an average
1 answer:
Answer:
The boy earned $773 in the fourth month.
Step-by-step explanation:
1) First, we need to find the total amount of money he needs so that the average of the 4 months would be 500. We can do this by multiplying 500 and 4 (essentially, we are working backward when trying to find the average) So, we know that the boy needs $2000 total by the end of the fourth month to make the 4-month average $500.
2) Now, we know how much the boy made for the first 3 consecutive months, so add those numbers up. So within the first 3 months, the boy made $1227.
3) Finally, we know how much money the boy needs by the end of the fourth month and how much he made by the third, so to figure out how much he earned in the fourth month, we can simply subtract $1227 from $2000.
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Option E
The numerator of fraction is 21
<h3><u>Solution:</u></h3> is to be written as improper fraction in lowest terms
To find: numerator of fraction
An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).
<em><u>To convert a mixed fraction to an improper fraction, follow these steps:</u></em>
- Multiply the whole number part by the fraction's denominator.
- Add that to the numerator.
- Then write the result on top of the denominator.
Thus the numerator of fraction is 21. Option E is correct
9514 1404 393
Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
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You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
From the section formula, it was found that the coordinate for the point <u>S</u> is (12,21).
<h3>Section Formula</h3>
The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:
, where
and
are coordinates of A
and
are coordinates of B
- Find the point S
The question gives r=, A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.
Next step, applying the internal section formula. Then, you have:
Read more about the section formula here:
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