<span>Part
A: Solve A = (x + 23) for x.
A = x + 23
=> A - 23 = x + 23 - 23
=> A - 23 = x
=> x = A - 23 <------- answer
Part B: Determine the value of x
when A = 108
Replace the value of A in the expression x = A - 23
x = 108 - 23 = 75
x = 75 <------- answer
Part C: Solve -np - 90 > 30 for n.
-np - 90 > 30
=> -np + np - 90 >30 + np
=> - 90 > 30 + np
=> -90 - 30 > 30 - 30 + np
=> -120 > np
=> np < - 120 <----- answer
</span>
12 is a common denominator.
1/4 = 3/12
2/3 = 8/12
Make all of the units equal.
1 gal = 4 quarts = 8 pints
1 quart = 2 pints
18 pt - 5 pt
13 pints or
1 gal 2 qt 1 pt
Answer:
z = 50.2802734375
Step-by-step explanation:
y = 15.5
y is 512 times x
z is 50.25 more than x
15.5/512 = 0.0302734375
x = 0.0302734375
0.0302734375 + 50.25 = 50.2802734375
z = 50.2802734375
Answer:
1 ¹/₉ hours
Step-by-step explanation:
Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.
1 = 2 (L + C)
1 = 1 ⅔ (C + M)
1 = 1 (L + C + M)
Solve the system of equations. First, simplify the equations:
1 = 2L + 2C
3 = 5C + 5M
1 = L + C + M
Double the third equation and subtract the first equation from it:
2 = 2L + 2C + 2M
1 = 2L + 2C
1 = 2M
M = 1/2
Plugging into the second and third equations, we get:
C = 1/10
L = 2/5
Therefore, the time it takes Larry and Moe together is:
1 = t (L + M)
t = 1 / (L + M)
t = 1 / (2/5 + 1/2)
t = 1 / (4/10 + 5/10)
t = 1 / (9/10)
t = 10/9
t = 1 ¹/₉ hours
It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.
