Answer:
Step-by-step explanation:
You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4. You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.
Please note: the middle cube has been mislabeled. Instead of volume = 30 units^3, the volume should be 45 units^3.
Here's the procedure:
Guess an appropriate s value. Let's try s = side length = 3.5
Cube this: (3.5 units)^3 = 42.875. Too small. Choose a larger possible side length, such as 3.7: 3.7^3 = 50.653. Too large.
Try s = 3.6: 3.6^3 = 46.66. Too large.
Choose a smaller s, one between 3.5 and 3.6: 3.55^3 = 44.73. This is the best estimate yet for s. Continue this work just a little further. Try s = 3.57. Cube it. How close is the result to 45 cubic units?
Original balance $1,018.00
Desk cost -$84.00
Computer cost -$372.00
Savings from job +$44.00
Current balance = $606.00
Amount to be added to get original balance:
1018 - 606
= $412.00
<h3>
Answer: -4x+5y = 100</h3>
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Explanation:
The given equation is the same as -4x+5y = 10
It is of the form Ax+By = C, where A = -4, B = 5, C = 10
Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.
This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.
Plug in the coordinates of (-15,8) to find the value of D
-4x+5y = D
-4(-15)+5(8) = D
60+40 = D
100 = D
D = 100
We have -4x+5y = D update to -4x+5y = 100
The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)
Parallel lines have the same slope, but different y intercepts.
Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.
Answer:
5 * 10 * 10 * 9 = 4500
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
there are 6 numbers on a die, and only one of them is 3.
so you would get 1/6 (because only one number out of 6 is 3)
