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Zielflug [23.3K]
3 years ago
5

10 POINTS Which expressions are equal to 6^3 x 2^6/2^3?

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0
When dividing, exponential powers are subtracted. When multiplying, power are added the base remains the same if the two bases are the same number. If they are different, the bases are multiplied and the same power is simply kept. With this in mind, let us solve this question!

6^3 × 2^6 / 2^3 ----- Multiplication or division can be done first. I do division because it's easier that way. 6-3 = 3

6^3 * 2^3 ------ Multiply bases and keep the power.

B.) 12^3

Hope this helps!

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Given two positive even integers, it turns out that the square of the largest minus 10 times the smaller is 76. What is the sum
kolbaska11 [484]

Answer:

  26

Step-by-step explanation:

Even integers will only have a square ending in 6 if they end in 4 or 6.

The square will only have a value greater than 76 if the number is greater than 8, that is, 14 or 16, 24 or 26, and so on.

The "smaller" integer will only be smaller if the "larger" integer is less than 16.

So, the two integers are ...

  14 and (14^2 -76)/10 = 12

The sum of 14 and 12 is 26.

_____

In the graph, we let x represent the "larger" integer and y the "smaller". The shaded area is where x > y, and the curve is the constraint on their values. The two vertical lines are the even numbers whose squares end in 6, resulting in integer values for y.

3 0
2 years ago
on a beach trip, lucy rents a bike from "wheels by the Waves", where they rent bikes for $12 plus $3 per hour. if lucy spent $30
blsea [12.9K]
2 hours! because, 12 plus 3 is 15 & 15 times 2 equals 30
3 0
3 years ago
Read 2 more answers
3(5 √3 + 3 √3) simplified
AleksandrR [38]
3(5 √3 + 3 √3) simplified would be  24√3
3 0
2 years ago
There are 50 sweets in a mixed pack. 25 are jellies, 10 are fizzy cola bottles and the rest are boiled. Write the ratio of each
Harman [31]

Answer:

5 : 2 : 3

Step-by-step explanation:

Total sweets = 50

Sweet types:

Jellies = 25

Fizzy cola = 10

Number of boiled sweets = 50 - (25 + 10) = 15

Ratio of :

Jellies : Fizzy cola : boiled sweets

25 : 10 : 15

Divide through by 5

Jellies : Fizzy cola : boiled sweets

5 : 2 : 3

3 0
3 years ago
If 3× :8=24:16find the value of x given that ×>0
ASHA 777 [7]

Answer: 4

<u>Step-by-step explanation:</u>

  3(x)  :   8

<u>  *2    </u>: <u>  *2  </u>

=   24  :  16


⇒ 6x = 24

⇒   x  = 4

4 0
2 years ago
Read 2 more answers
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