1/4b + 4/3b + 7/12
simplify and combine like terms

Answers

Answer 1

Answer:

Final answer:

The problem is asking us to combine like terms, which in this case are 1/4b and 4/3b. After finding a common denominator and adding these terms, we get 19b/12. Including the constant term 7/12, the simplified equation is 19b/12 + 7/12.

Explanation:

The equation in question here is: 1/4b + 4/3b + 7/12.

To simplify and combine like terms, we firstly deal with the terms having 'b', which are like terms. We can add 1/4b and 4/3b by finding a common denominator, which in this case is 12.

So, we get (3b/12 + 16b/12), which simplifies to 19b/12

The constant term 7/12 can't be combined with the terms containing 'b', as it is not a like term. Hence, the simplified form of the equation becomes: 19b/12 + 7/12.

Learn more about Combining Like Terms here:

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Answer 2

Answer:

Answer:

$(19)/(12) b + (7)/(12)$

Step-by-step explanation:

Find the common denominator of 4, 3, and 12. It is 12.

1/4 = 3/12

4/3 = 16/12

7/12 = 7/12

$(3)/(12) b +(16)/(12) b +(7)/(12)$

$(19)/(12) b + (7)/(12)$

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A 3-gallon jug of juice costs $22.32. What is the price per pint?

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At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181. At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94. The T-shirts were all the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation

Answers

4t + 3j = 181 and t + 2j = 94 represents the system of equations that can be used to represent this situation

Solution:

Let "t" be the cost of each t - shirt

Let "j" be the cost of each pair of jean

At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181

Therefore, we can frame a equation as:

4 T-shirts x cost of each t - shirt + 3 pairs of jeans x cost of each pair of jean = 181

$4 * t + 3 * j = 181\n\n4t + 3j = 181 --------- eqn 1$

At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94

Therefore, we can frame a equation as:

1 T-shirts x cost of each t - shirt + 2 pairs of jeans x cost of each pair of jean = 94

$1 * t + 2 * j = 94\n\nt + 2j = 94 --------- eqn 2$

Thus eqn 1 and eqn 2 represents the system of equations that can be used to represent this situation

Use the substitution method to solve the system of equation.choose the correct ordered pair. 2x+3y=29
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Answers

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