Answer:
It'll take 3 h before Lenore catch up to Sheila.
Step-by-step explanation:
To solve this problem we first need to calculate the relative speed between the two. Since they're going at the same direction we need to subtract their individual speeds if their directions were oposite we would have to sum their speeds. In this case we have:
relative speed = Lenore speed - Sheila speed
relative speed = 60 - 45 = 15 mph
Since Sheila left 1 h before Lenore and she drove at a rate of 45 mph, then she had covered a distance of:
distance = time*speed = 1*45 = 45 miles
Before Lenore left, so in order for Lenore to catch up to Sheila she needs to cover that distance at a relative speed of 15 mph.
time = distance/(relative speed) = 45/15 = 3 h
It'll take 3 h before Lenore catch up to Sheila.
Answer:
the answer would be x>-7/3
Answer:
48 yd^3.
Step-by-step explanation:
Volume of a pyramid = 1/3 * height * area of the base.
The area of the triangular base = 1/2 * height * base = 1/2*6*8
= 24 yd^2.
So the volume of the figure
= 1/3 * 6 * 24
= 2*24
= 48 yd^3.
Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
