Answer:
<em>The smallest number is 114921 and the cube root of the result is 339</em>
Step-by-step explanation:
The number 339 can be factored as:
339 = 3 * 113
Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:
3^2*113^2=114921
When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.
Thus, the smallest number is 114921 and the cube root of the result is 339
Answer:
2
Step-by-step explanation:
Using the rule of logarithms
•
x = n ⇔ x = 
let
64 = n, then
64 = 
note that 64 = 8², thus
8² =
⇒ n = 2
Answer:50 customers would be expected to buy birthday cards next month.
Step-by-step explanation:
Last month customers at a gift shop bought 40 birthday cards, 19 congratulation cards, 20 holiday cards, 21 thank you cards. The total number of greeting cards that the customers bought last month would be
40 + 19 + 20 + 21 = 100
Percentage of customers that bought birthday cards last month would be
40/100 × 100 = 40%
supposed 125 customers by greeting cards next month, the expected number of customers that would buy birthday cards next month would be
40/100 × 125 = 50
Answer:
9 =z
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w) where l is the length and w is the width
P = 2(3z+2+ 4z)
Combine like terms
P = 2(7z+2)
Substitute in the perimeter
130 = 2( 7z+2)
Divide each side by 2
130/2 = 2/2 ( 7z+2)
65 = 7z+2
Subtract 2 from each side
65-2 = 7z+2-2
63 = 7z
Divide by 7
63/7 = 7z/7
9 =z