Answer:
27 days
Step-by-step explanation:
A alone, rate per day = 1/36
A and B together, rate per day = 1 / 20
Total Workdone for 5 days :
1/ 20 * 5 = 5 / 20 = 1/4
Fraction of work left :
1 - 1/4 = 3/4
3 / 4 * 36 /1
= (3 * 36) / 4
= 108 / 4
= 27 days
Answer:
n = -5
Step-by-step explanation:
Solve for n:
n + 2 = 4 n + 17
Hint: | Move terms with n to the left hand side.
Subtract 4 n from both sides:
(n - 4 n) + 2 = (4 n - 4 n) + 17
Hint: | Combine like terms in n - 4 n.
n - 4 n = -3 n:
-3 n + 2 = (4 n - 4 n) + 17
Hint: | Look for the difference of two identical terms.
4 n - 4 n = 0:
2 - 3 n = 17
Hint: | Isolate terms with n to the left hand side.
Subtract 2 from both sides:
(2 - 2) - 3 n = 17 - 2
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
-3 n = 17 - 2
Hint: | Evaluate 17 - 2.
17 - 2 = 15:
-3 n = 15
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 n = 15 by -3:
(-3 n)/(-3) = 15/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
n = 15/(-3)
Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.
The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):
n = 5/(-1)
Hint: | Simplify the sign of 5/(-1).
Multiply numerator and denominator of 5/(-1) by -1:
Answer: n = -5
Answer:
14.45
Step-by-step explanation:
x^2+(7.1)^2=(16.1)^2
×^2+50.41=259.21
x^2=208.8
sqrt(x^2)=sqrt(208.8)
x=14.45
check.
14.45^2 + 7.1^2 = 16.1^2
Answer:
a. There is a causation relationship and positive trend between number of hours on homework and higher test scores.
b. 76
Step-by-step explanation:
a. Since the dots all follow a linear progression and increase closely together this is a positive trend and likely a causation relationship.
b. y=7x+41 can predict a test score. x is the number of hours, so if 5 if the number of hours then y=7(5)+41 = 35+41=76
