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
Tanα=y/x
x=y/tanα, we are told that y=93m and α=26.3°
x=93/tan26.3 m
x≈188m (to nearest whole meter)
Answer:
7 gallons per minute
Step-by-step explanation:
315/45 = 7
Answer:
Collin
Step-by-step explanation:
He did the most attempts.
The probability of flipping a coin is 1/2
Answer:
A, B and D
Step-by-step explanation:
A. The polynomial is a trinomial.
A trinomial refers to a polynomial with three terms. This option is correct.
B. The degree of the polynomial is 6.
Degree refers to the highest power in the polynomial. This option is correct.
C. The leading coefficient is 1
This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.
D. Written in standard form, the polynomial is –2x6 + x5 + 3.
This is correct.