Turn the scenario into a division problem: how many 100s fit into 3,200? Compute 3,200 ÷ 100. Removing the two zeros leaves 32, so thirty-two 100s make up 3,200.
A. The quantity of 10-boards that Peter purchases is equal to n divided by 10. Consequently, each of the 10-boxes will receive two boxes of nails. After purchasing n boards, the formula for the number of boxes of nails Peter will have will be,
N = (2)(n/10)
When simplified,
N = n/5
b. If the total number of boards is 90, then,
N2 = (90/10)(2)(100 nails/box)
N2 = 1800
Final Answer: 1800
<span>D=20+50t
120=20+50t
50t=100
t=2 hours
The time variable t ranges from t=-(2/5)hr to t=2hr. Given that they have already covered 20 miles.
[-2/5,2]</span>
To address this issue, we will utilize the formula for determining the distance from a point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
We have the line equation:
y = 2 x + 4
Rearranging it results in:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
The coordinates given are:
(-4, 11) = (x, y)
Substituting into the distance formula:
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]
distance = 15 / sqrt (5)
distance ≈ 6.7
<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>