Remember the order of operations. The first step in this problem will be to solve the exponent.
Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.
(2x)^3 = 2^3 * x^3 = 8x^3
Now multiply that answer by 4 to finish simplifying.
8x^3 * 4 = 32 x^3
Your answer should be: 32x^3
D=dimes
q=quarters
d + q = 20
.10d + .25q = 3.05
d=-q + 20
.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7
d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13
Sally has 7 quarters and 13 dimes.
Hope this helps!
She spends $3 per day over the course of 15 days.
Therefore 3(15) = 45
Sol. {Her lunch account has been impacted by $45}
The correct answer is: " 2.3 * 10⁵ " .
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<u>Step-by-step explanation</u>:
Given: " 23 * 2⁴ * 5⁴ " ; write in scientific notation.
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First: We shall solve the problem.
Second: We shall write the solution in "scientific notation".
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" 2⁴ = 2 * 2 * 2 * 2 ;
= (2 * 2) * 2 * 2 ;
= 4 * 2 * 2 ;
= (4 * 2) * 2 ;
= 8 * 2 ;
= 16 . "
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" 5⁴ = 5 * 5 * 5 * 5 ;
= (5 * 5) * 5 * 5 ;
= 25 * 5 * 5 ;
= (25 * 5) * 5 ;
= 125 * 5 ;
= 625. "
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23 * 2⁴ * 5⁴ ;
= 23 * 16 * 625 ;
= 230000 ;
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Now, we shall write this answer in scientific notation:
This is a whole number.
So we take the first digit, add a decimal point, and include the all the numbers after that are not "all, trailing zeros":
and then write:
" * 10^(enter number of digits following that decimal point) " ;
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So: " 230000 " = 2.3 * 10⁵ " .
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The correct answer is: " 2.3 * 10⁵ " .
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Hope this is helpful to you!
Best wishes!
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