The answer is 252 ft3 because logically if the cubes had a length of one foot, the rectangular prism would be 756 feet, so you would just divide that number by three considering that the cubes are only 1/3 of a foot.
Hope this helps !!
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Follow the steps for 8
(1) 8 * 2 = 16
(2) 16 * 5 = 80
Note: you could just combine the first 2 steps and multiply by 10 to start with. Much easier: just add a 0 onto 8.
(3a) 12 * 8 = 96
(3b) 96 - 24 = 72
(3c) So you want to take 1/2 72 which is 36
(4) 36 + 80 = 116
Let's try this with x.
(2) x * 10 = 10x
(3) 1/2 (12*x - 24)
(3) 10x + 1/2 (12x - 24)
(3) 10x + 6x - 12
(4) 16x - 12
Problem B
Math wiz would add 12 to the number given to her and then divide by 16. That's pretty complicated to do quickly.
For example Let the original number be 1221
(2) Multiply by 10 12210
(3) Take 1/2 the difference between 12 times 1221 and 24 which is 1/2(14652 - 24) = 7314
And add this result to 12210
7314 + 12210 = 19524
Tell her the number. She has to add 12
19524 + 12 = 19536 And divide by 16
to get 1221.
Pretty complex even for a wizard.
Answer:
Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:
Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:
We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:
