Answer:
c). 14 < x < 15
d). 7 < x < 8
Step-by-step explanation:
c). (x/3)^3 = 124
Take the cube root of both sides
x/3 = 4.986630952238646
multiply both sides by 3
x = 14.959892856715938
14 < x < 15
-----------------------------
d). (x/2 - 1)^3 = 25
Take the cube root of both sides
x/2 - 1 = 2.924017738212866
Add 1 to both sides
x/2 = 3.924017738212866
multiply both sides by 2
x = 7.848035476425732
7 < x < 8
Answer:
10 carbs in snack bars
14 carbs in milk
Step-by-step explanation:
Glasses of Milk = m
Snack Bars = s
I am going to make this a system of equations:
2m + 3s = 58
4m + 2s = 76
I am going to simplify one of them for a s:
4m + 2s = 76
2s = 76 - 4m
s = 38 - 2m
I am going to insert this into the other equation:
2m + 3s = 58
2m + 3(38 - 2m) = 58
2m + 114 - 6m = 58
(-4)m + 114 = 58
(-4)m = -56
m = 14 calories
I am going to plug this m into one of the equations (doesn't matter which):
2(14) + 3s = 58
28 + 3s = 58
3s = 30
s = 10
You can plug these values back into each of the equations to make sure they work.
Hope it helps! UvU
Answer:
The indifference point is 200 miles
Step-by-step explanation:
<u>First, we need to establish the total cost formula for each company:</u>
Pack and Go:
Total cost= 39.95 + 0.45x
x= miles driven
U-Drive:
Total cost= 59.95 + 0.35x
x= miles driven
<u>Now, we equal both formulas and isolate x:</u>
39.95 + 0.45x = 59.95 + 0.35x
0.1x = 20
x= 200 miles
The indifference point is 200 miles
Answer: 27a
Step-by-step explanation:
1. Simplify 4a×6 to 24a.
24a+3a
2. Simplify.
27a
Just divide the top number of the fraction by the lower number and put a negative symbol in front of the decimal figure.
Example:
-1/4 =. 1divided by 4 = .25 = -.25
