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Ugo [173]
3 years ago
12

Complete the Prime factorization of 64

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime

factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

Since √64 = 8, a whole number, 64 is a perfect square

I hope I helped !

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A catering service offers
Fiesta28 [93]

Answer:

There are 52920 ways to do the banquet

Step-by-step explanation:

* Lets revise the combination to solve this problem

- A combination is a collection of the objects where the order

 doesn't matter

- The order is not important in this problem, so we can use the  

  combination nCr to find how many ways can this done

* Lets solve the problem

- A catering service offers 6 appetizers, 7 main courses, 10 desserts.

- A customer is to select 5  appetizers,  4  main courses, 5  desserts

 for a banquet

∵ We want to select  5  appetizers from 6

∴ There are 6C5 ways to chose the appetizers

∵ 6C5 = 6

∴ There are 6 ways to chose the appetizers

∵ We want to select  4  main courses from 7

∴ There are 7C4 ways to chose the main courses

∵ 7C4 = 35

∴ There are 35 ways to chose the main courses

∵ We want to select  5  desserts from 10

∴ There are 10C5 ways to chose the desserts

∵ 10C5 = 252

∴ There are 252 ways to chose the desserts

- To find the number of ways to do the banquet multiply all the

  answers above

∵ The total ways = 6C5 × 7C4 × 10C5

∴ The total ways = 6 × 35 × 252 = 52920

* There are 52920 ways to do the banquet

5 0
3 years ago
1. A-Tunes requires a membership fee of $12 a month and $1 for each download.
matrenka [14]
<h3>Answer:</h3>

After 16 downloads the charges will equal each other.

<h3>Step-by-step explanation:</h3>

First set up an equation

x = Downloads

12 + 1x = 5 + 1.5x

Solve

12 + 1x = 5 + 1.5x <- Rewrite your equation

-5          -5            <- Subtract 5 from both sides

 8 + 1x = 1.5x       <- Simplify

      -1x    -1x         <- Subtract 1 from both sides

        8 = 0.5x      <- Simplify

        8 = 1/2x       <- Convert 0.5 to a fraction to make the next step easier

       16 = x            <- Multiply both sides by 2 to divide by

                                 a fraction

4 0
3 years ago
4x+x+6=11x-6x+6 what is the value for x
sveticcg [70]

Answer:

use papamath it will give u the anwers

Step-by-step explanation:

7 0
3 years ago
Determine whether or not there is a congruence between △abc and △def. if there is such a congruence, then give the reason for it
Andru [333]

There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.


The appropriate choice is

... none

4 0
3 years ago
6th grade help please math
givi [52]
1) 12 cookies per hour
2) train travels 80 miles per hour
4 0
3 years ago
Read 2 more answers
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