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grin007 [14]
3 years ago
15

Liam bought snacks for his team's practice. He bought a bag of oranges for $2.13 and a 3-pack of juice bottles. The total cost b

efore tax was \$9.45 . Write and solve an equation which can be used to determine , how much each bottle of juice costs?
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer:

each bottle of juice costs $2.44

Step-by-step explanation:

x=bottle of juice

2.13+3x=9.45

subtract 2.13 from each side and get 3x=7.32

divide both sides by 3

and get x=2.44

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A stack of​ $20, $50, and​ $100 bills was retrieved as part of a police investigation. There were 42 42 more​ $50 bills than​ $1
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Answer:

The number of​ $100 bills was 27.

The number of​ $50 bills was 69.

The number of​ $20 bills was 189.

Step-by-step explanation:

Let x be the number of $20 bills, y the number of $50 bills, and z the number of $100 bills.

Since there are three unknown values, we need three equations to solve the problem, all of them can be extracted from the question itself, two as the ratios between different bills and the last one as the sum of the total value of the money :

y=z+42\\x=7*z\\20x+50y+100z = 9,930

Substituting the first equations into the last, it is possible to find the value for z:

20(7z)+50(z+42)+100z = 9,930\\z=\frac{9,930-2100}{290} \\z=27

Knowing that there were 27 $100 bills, we can go back to the first two equations to find x and y:

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The number of​ $20 bills was 189.

6 0
3 years ago
How do i solve this step by step
AlladinOne [14]

Answer:

4) x^10

Step-by-step explanation:

1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.

2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.

3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.

4) (x^2*x^4)^4÷x^8

First do what's in the parentheses,

(x^2*x^4) = x^6

Next do the exponents,

(x^6)^3 = x^18

Lastly the division,

x^18÷x^8 = x^10

x^10 is our answer.

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