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2 years ago

What percent of the bottle of apple juice is water?

Mathematics

1 answer:

Elis [28]2 years ago

4 0

Answer:

40% of the bottle of apple juice is water

75% of the bottle of orange juice is water

Step-by-step explanation:

this is to find the percentage of apple juice that is water

(32 ÷ 80) × 100

you have to multiply by 100 because you are looking for the percentage

32÷ 80 is 2/5

2/5 × 100 is 40%

this is to find the percent of orange juice that is water

(48÷64) × 100

48 ÷ 64 is 3/4

3/4 × 100 is 75%

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hus, D satisfying (ABC)DequalsI exists. Why does the expression for D found above also satisfy D(ABC)equalsI, thereby showing

Assoli18 [71]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second Question

Option C is correct

Third Question

$D = A^{-1} * B^{-1} * C^{-1}$

Fourth Question

So substituting for D in (ABC) D = I

$(ABC) * A^{-1} * B^{-1} * C^{-1} = I$

$I = I$

This proof that ABC is invertible

Step-by-step explanation:

From the question we are told that

A , B and C are invertible which means that $A^{-1} , B^{-1}, C^{-1}$ exist

Now

From the question

(ABC) D = I

Where I is an identity matrix

Now when we multiply both sides by $A^{-1}$ we have

$A^{-1} A BCD = A^{-1} * I$

$IBCD = A^{-1}$

Now when we multiply both sides by $B^{-1}$ we have

$B^{-1 } *I BCD = A^{-1} * B^{-1}$

$I CD = A^{-1} * B^{-1}$

Now when we multiply both sides by $C^{-1}$ we have

$C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}$

$I D = A^{-1} * B^{-1} * C^{-1}$

$D = A^{-1} * B^{-1} * C^{-1}$

So substituting for D in the above equation

$(ABC) * A^{-1} * B^{-1} * C^{-1} = I$

$I = I$

This proof that ABC is invertible

4 0

2 years ago

Archie earns $4 a week for doing choirs. How much will Archie warm in 2 months if there are four weeks in each month?

siniylev [52]

Hello! The answer for your question would be $32. This is because if Archie earns $4 a week and there are 4 weeks in each month, and he works for 2 months, then 4*4 for one week would equal $16. This times 2 would equal $32 therefore, Archie earned $32 dollars for 2 months of doing chores.

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3 years ago

What is the remainder in the division problem modeled below

kati45 [8]

It looks like it may be 15 divided by 2.

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2 years ago

Read 2 more answers

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