9514 1404 393
Answer:
- 64 weeks
- 4 months
Step-by-step explanation:
1. Let y represent gallons in the tank, and x represent number of weeks.
<u>tank 1</u>
y = 256 -3x . . . . . starts with 256 gallons, loses 3 per week
<u>tank 2</u>
y = 384 -5x . . . . . starts with 384 gallons, loses 5 per week
The amounts in the tanks will be equal when the y-values are equal.
y = y
256 -3x = 384 -5x
2x = 128 . . . . add 5x-256
x = 64 . . . . . . divide by 2
The amount of water in the two tanks will be equal after 64 weeks.
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2. Let s and f represent the total cost of membership at Silver Gym and Fit Factor, respectively. Let x represent the number of months of membership.
s = 25 +30x
f = 65 +20x
The costs are the same when s=f.
s = f
25 +30x = 65 +20x
10x = 40 . . . . . . subtract 25 +20x
x = 4 . . . . . . . . . divide by 10
The two memberships will be the same price after 4 months.
Answer: D. n = 12
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Work Shown:
n/33 = 4/11
11*n = 33*4 ... cross multiply
11n = 132
n = 132/11 ... divide both sides by 11
n = 12
Answer:
Volume: 825 cubic units
Step-by-step explanation:
You can find the area in 2 ways:
1. Find the volume and subtract
This method is done by finding the volume of a 5*20*10 prism (the 10 comes from the two 5s on the right), and then subtracting a 5*5*5 cube.
This method works because, as you can see from the diagram, a 5*5*5 cube was "taken out" of a corner
2. Find the volume and add.
This method is similar to the one above. The only difference is that you will use a 5*15*10 prism. Then, add the 5*5*5 cube.
3. Finding the volume
I am going to use the first equation, as the numbers are easier to work with.
5*20*10=1,000
5*5*5=125
1000-125= 875
I hope this helps! Feel free to ask any questions!
Answer:
i think its c but im not 100% sure sorry if im wrong
Step-by-step explanation:
Yes. First, multiply the radicals to give 2(sqrt3×sqrt12) as stated within the laws of indicies. Now you have 2(sqrt36). Sqrt36 equals to 6 so is a rational number, so you now multiply that be 2 to give you your answer, which is 12. Therefore, the answer is rational.
