Answer:
21 in
Step-by-step explanation:
by the Pythagorean theorem we have
notice that the 841 and the 400 don't go squared because they already squared!
<span>Last
year, the average math SAT score for students at one school was 475. The
headmaster then introduced a new teaching method hoping to improve scores. This
year, the mean math SAT score for a sample of students was 491. The headmaster
concluded that the new teaching method produces higher SAT scores. The problem
with reporting results this way is voluntary response. The information of how
the teaching method isnot mentioned.</span>
Answer: 11,544 pieces of candy are made per hour.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Gallons of corn syrup used: 8
</em>
- <em>Pieces of candy produced: 1,776
</em>
- <em>gallons of corn syrup per hour: 52
</em>
If we apply proportions:
8 /1,776 = 52/x
Where x is the pieces of candy made per hour.
Solving
x = 52x1, 776 /8
x = 11,544
11,544 pieces of candy are made per hour.
Answer:
y = 5, -4
Step-by-step explanation:
To solve proportions you cross-multiply.
Now that we have 8 = y^2 - y - 12, we must make the entire trinomial equal to 0 by subtracting 8 from both sides.
y^2 - y - 20 = 0
Factor the trinomial.
(y - 5)(y + 4) = 0
Make both factors equal to 0 to solve for both values of y.
- y - 5 = 0 --> y = 5
- y + 4 = 0 --> y = -4
y = 5, -4
