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agasfer [191]
2 years ago
6

Which equation shows how to use equivalent fractions to evaluate 2 5 + 3 4 5 2 ​ + 4 3 ​ start fraction, 2, divided by, 5, end f

raction, plus, start fraction, 3, divided by, 4, end fraction?
Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

2/5 + 3/4 = 23/20

Step-by-step explanation:

Given

2/5 + 3/4

To evaluate this using equivalent fractions, we have to make the fractions have the same denominators, in such a way that the value of each fraction is unchanged.

First consider the denominators of each fractions: 5 and 4. Their lowest common multiple is 5×4 = 20.

20/4 = 5, and 20/5 = 4

Now, 2/5 = (2×4)/(5×4) = 8/20

and 3/4 = (3×5)/(4×5) = 15/20

So

2/5 + 3/4 = 8/20 + 15/20

= (8+15)/20 = 23/20

Therefore,

2/5 + 3/4 = 23/20

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4x + 60 = 180

Subtract 60 from both sides

4x = 120

Divide 4 from both sides

x = 30

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Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies tha
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Answer: She can buy up to 2 bags of nuts

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).

5.70n +4.25 ≤18

Solving for x:

5.70n ≤18 -4.25

5.70n ≤13.75

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Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr
almond37 [142]

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

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Substitute x = 5 into (2) for corresponding value of y

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3 years ago
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