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4 years ago

10

A closet contains 8 pairs of pants, 10 shirts, and 4 pairs of shoes. How many leaves on a tree diagram would represent all possi

ble combinations of outits

1 answer:

EleoNora [17]4 years ago

7 0

The answer is, there are 320 possible combinations of outfits

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Simplify completely. Leave your answer in exponential form:

stich3 [128]

Answer:

${2}^{3} \times {4}^{3} \times 9$

Step-by-step explanation:

Using the division rule when dealing with exponents

$\frac{b {}^{h} }{b {}^{j} } = b {}^{h - j}$

meaning that when we divide exponents that have the same base but different powers we can subtract the power of the bottom exponent from the top exponet.

so using that we are going to do 2, 4 and 9

$\frac{2 {}^{8} }{ {2}^{5} } = {2}^{8 - 5 = 3 \: \: \: \: \: 2 {}^{3} }$

$\frac{ {4}^{4} }{ {4}^{1} } = {4}^{4 - 1} \: \: \: {4}^{3}$

$\frac{9 {}^{9} }{ {9}^{8} } = {9}^{9 - 8} = 9 {}^{1}$

Combine all the terms and we get

${2}^{3} \times 4 {}^{3} \times {9}$

4 0

3 years ago

You are buying fruit to make fruit baskets apples come in bags of 20. Ornages come in bags of 16. And bananas come in bags of 32

QveST [7]

Answer:

160 basket of each fruit baskets we can make using all fruit.

Step-by-step explanation:

Given:

Oranges comes in bags = 16

Apples comes in bags = 20

bananas come in bags = 32

We need to find the greatest number of fruit baskets that you can make using all fruit.

Also Given:

You have one bag of each fruit basket must be identical.

So we will first find the least common multiple of all the numbers we get;

20 = 20,40,60,80,100,120,140,160

16 = 16,32,48,64,80,96,112,128,144,160

32 = 32,64,96,128,160

The least common multiple is 160.

Hence we can say that, 160 basket of each fruit baskets we can make using all fruit.

8 0

3 years ago

15x+3y=915 x + 3 y = 9<br><br> 10x+7y=-4

tino4ka555 [31]

Answer:

1/-100 is the required ans..of first equation

3 0

4 years ago

Which is the measure of < B?

natka813 [3]

A (42 degrees) bc the angles are across from each other so they’re equal

6 0

3 years ago

Marco is making mosaic garden Stones using red, yellow ,and blue tiles. He has 45 red tiles,90 blue tiles,and 75 yellow tiles. S

son4ous [18]

The Greatest Common Factor: G C F ( 45, 90 , 75 ) = 15
The greatest number of stones Marco can make is 15.
45 : 15 = 3
90 : 15 = 6
75 : 15 = 5
He will use: 3 red, 6 blue and 5 yellow tiles in each stone.

4 0

3 years ago