Step-by-step explanation:
the angle should be 60°
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
Answer:
35 miles per hour
Step-by-step explanation:
Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:
speed = distance/time
speed = (140 miles)/(4 hours) = 35 miles/hour
9514 1404 393
Answer:
7 7/8
Step-by-step explanation:
There are several ways to get there.
2.25×3.5 = 7.875 = 7 7/8
(2 1/4)(3 1/2) = (9/4)(7/2) = 63/8 = 7 7/8
(2 1/4)(3.5) = 2(3.5) +(1/4)(3.5) = 7 + (2·3.5)/(2·4) = 7 +7/8 = 7 7/8
A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.
Company fixed cost = $10 million = $10,000,000
Variable cost per pair = $5
Company charges each pair = $15
Hence the company makes $10 profit per pair
regardless the company fixed cost and only considering the variable cost.
Let subtract the variable cost per pair from the
company charging each pair = 15 - 5 = $10
Thus the company now makes $10 per pair, and it has
to sell 1,000,000 pairs of gloves to reach the break-even point. The break-even
point refers to the point where total cost and revenue are equal.
<span>Thus for 1,000,000 pairs, the company total earning =
10 x 1,000,000 = $10,000,000 = $10 million </span>
