Line BE and KE are the same length, so set the 2 equations to equal and solve for P.
7p+7 = 37-3p
Add 3 p to both sides:
10p +7 = 37
Subtract 7 from each side:
10p = 30
Divide both sides by 10:
p = 30/10
p = 3
The answer is B.
Answer:
19=5+(j times 2/3) j=21
Step-by-step explanation:
While reading out the equation, you understand that Hannah's 19 Jolly Ranchers is what the equation is being set to. 5 more means +5. 2/3 of J can be written as (2/3 times J). You can solve for J by setting the equation to J.
Answer: B
$10,390.75
Step-by-step explanation:
Given that the lease = $291 per month
Lease pay = 291 × 24 = $6984
Time = 24 months
down payment = $458.
The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount.
For the car to be driven a total of 32,425 miles.
Excess = 32425 - 24000 = 8425 miles
Charges = 0.35 × 8425 = $2948.75
The cost for two years for this vehicle will be
2948.75 + 458 + 6984 = $10390.75
Answer:
d.a cluster sampling
Step-by-step explanation:
This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population.<u> It is usually used in that type of research when there is no possible way to find information about a population as a whole.</u>
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
