Four glasses of milk and 2 snack bars have a total of 86 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

Answer 1

Answer:

One glass of milk: 15 carbs

One snack bar: 13 carbs

Step-by-step explanation:

This problem is an example of systems of linear equations. We can set this problem up by defining variable. I used [tex]m[/tex] for the glass of milk and [tex]b[/tex] for the snack bar.

First, we have: 4 glasses of milk and 2 snacks bar have a total of 86 carbs. We can write this as

[tex]4m+2b=86[/tex]

Next: 2 glasses of milk and 3 snack bars have a total of 69 carbs.

We can write this as

[tex]2m+3b=69[/tex]

Now we set it up.

[tex]4m+2b=86[/tex]

[tex]2m+3b=69[/tex]

By dividing both sides of the first equation by 2, we can use the subtraction method to get rid of the variable [tex]m[/tex]. Now we have

[tex]2m+b=43[/tex]

[tex]2m+3b=69[/tex]

Subtract like terms and solve for [tex]b[/tex]

[tex]-2b=-26[/tex]

[tex]b=13[/tex]

Now we substitute [tex]b[/tex] back into the original equation to find [tex]m[/tex].

[tex]2m+(13)=43[/tex]

[tex]2m=30[/tex]

[tex]m=15[/tex]

There you have it. I hope this helps!


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Answers

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

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Answers

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Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

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The variable y represents the number that is being added to 14.

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Hence, the correct answer would be option (A).

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Answers

Answer:

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Step-by-step explanation:

1/2 (7•4)

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14

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

6 pounds of apple = $21.00

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1 pound = 16 ounces

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Answer:

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Step-by-step explanation:

Which expression is represented by the model below?

2 bars are shown next to each other and each bar is labeled

A.
8
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Answers

Answer

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Step-by-step explanation:

The expression that is represented by the model below is -

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y = 2 x 3/8.

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Step-by-step explanation:

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Answers

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Answers

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