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ella [17]
3 years ago
14

Use your choice of equal values, substitution, or elimination to solve the

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.

3x+2y=213

x  + y =87

We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.

3x+2y=213

3(x+y=87) --> 3x+3y=261

Now we can eliminate x.

  3x+2y=213

-  3x+3y=261

----------------------

        -y=-48  

Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.

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Audrey's father gave her 20 tokens to use at Action
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Answer:

5 tokens

Step-by-step explanation:

<u><em>She spent 1 out of every 4 tokens,</em></u> meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,

(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it

I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,

Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.

<em>You can try that yourself if you want it to be more clear.</em>

Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.

8 0
2 years ago
Read 2 more answers
I'M GIVING 100 POINTS FOR THIS What is the ratio of a surface area to volume of a sphere with the following measurements? Surfac
marissa [1.9K]

Answer:

B

Step-by-step explanation:

SA/V = 300m^2/500m^3 -------- m^2 cancel out and so d othe 100

we get 3/(5m)

Sooo, I guess that's equal to 3/5 1/m and 1/m is m^-1 so we have (B)

8 0
3 years ago
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A punch recipe calls for mixing 7 parts of cranberry juice with 4 parts of lemon juice. Find how much cranberry juice should be
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Answer:

4:7 - Proportion

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4 - lemon juice

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Step-by-step explanation:

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3 years ago
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68 is rational
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3 years ago
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devlian [24]

Answer: Last Option

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Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

\sqrt[n]{x^m}*\sqrt[n]{x^b} = \sqrt[n]{x^{m+b}}

we also know that:

\sqrt[3]{x^3} = x

So

\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}

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