Identify the expression and the value equivalent to 4 times 3 cubed
2 answers:
Answer:
Step-by-step explanation:
Four times three cubed
Given the statement, times means multiplication.
four times three
4 x 3
It says three cubed, where cubed means raised to 3. So that means we right an exponent, and the exponent is 3.
4 x 3³
When we have an exponent, that tells you how many times you will multiply it by itself. So since the exponent is 3, we multiply 3 by itself 3 times.
3³ = 3 x 3 x 3
So 4 x 3³ = 4 x 3 x 3 x 3
Lastly, if we get the product your result will be 108.
4 x 3 x 3 x 3
=4 x 27
= 108
<u>Answer:</u>
4 × 3 × 3 × 3
4 × 3^3
108
<u>Step-by-step explanation:</u>
We are to identify the expressions and value(s) that are equivalent to 4 times 3 cubed.
This can be expressed as:
or
(since 3 cubed means 3 to the power 3)
or
(which is the result of 4 times 3 cubed)
Therefore, the correct answer options are:
4 × 3 × 3 × 3
4 × 3^3
108
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Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
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Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)