Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
Answer:
Step-by-step explanation:
Pictured is a normal distribution curve. The mean is in the middle and each line going from the middle is either adding or subtracting the standard deviation. Our mean is 10, so 10 goes in the middle, and the line to the right of 10 is 10+1.5=11.5. The next line to the right of that is 11.5+1.5=13. The line to the right of that is 13+1.5=14.5.
To the left of the mean we have 10-1.5=8.5. To the left of that we have 8.5-1.5=7. To the left of that we have 7-1.5=5.5. You can see in the image what the percentage is within each separation. From a size 7 to a size 13 we have the percentages 13.5+34+34+13.5=95%
In the greater realm of things, this statistic tells a shoe store manager that since 95% of men polled wear a shoe size between 7 and 13, it would be cost efficient for him to keep an abundance of these sizes on hand. The greatest majority of men polled (68%) wear from a size 8.5 to a size 11.5.
7p - 4 + 12p = -3(5 + p)
7p - 4 + 12p = -15 - 3p
+ 4 + 4
7p + 12p = -11 - 3p
+ 3p + 3p
22p = -11
p = -1/2 Answer
Question 7
(37,065 - 26, 102)/(37, 065) = P/100
(10, 963)/(37, 065) = P/100
37, 065P = (10, 963)(100)
37,065P = 109, 630
P = 109, 630 ÷ 37, 065
P = 2.9577768785
P = 295.78%
Do likewise for the rest of the questions.
To change from decimal to percent, move the decimal point two places to the right and then add the percent symbol (%).
I guess you could count by hand, but it would take a while.
C and D