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malfutka [58]
2 years ago
8

The difference between two numbers is 31. Four times the smaller is equal to eight more than the larger. What are the numbers?

Mathematics
1 answer:
hjlf2 years ago
3 0

Answer:

13 and 44

Step-by-step explanation:

let x and y be the 2 numbers with y < x , then

x - y = 31 ( add y to both sides )

x = y + 31 ( subtract 31 from both sides )

x - 31 = y → (1)

4y = x + 8 → (2)

substitute y = x - 31 into (2)

4(x - 31) = x + 8

4x - 124 = x + 8 ( subtract x from both sides )

3x - 124 = 8 ( add 124 to both sides )

3x = 132 ( divide both sides by 3 )

x = 44

substitute x = 44 into (1)

44 - 31  = y , then

y = 13

the 2 numbers are 13 and 44

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Tcecarenko [31]
-1/2(-3/2x + 6x + 1) - 3

Simplify.

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Get rid of the parenthesis.

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Add like terms.

(3/4x - 3x) + (-1/2 - 3)

Simplify.

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Get rid of the parenthesis.

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Hope I helped! :)

4 0
3 years ago
La
tatyana61 [14]

Answer:

32 tablespoons

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Step-by-step explanation:

Problem 1:

A chef has 2 cups of vinegar and she knows that there are 8 fluid ounces in one cup.

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Problem 2:

In a market, 7 oranges are sold for $2.45.

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6 0
3 years ago
At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as chil
murzikaleks [220]

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7 0
3 years ago
It is computed that when a basketball player shoots a free throw the odds in favor of his making our 23 to 3 find the probabilit
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4 0
2 years ago
Help me please how do I get the answer to 7.44 divided by 6 equals
dalvyx [7]
<span>7.44 divided by 6 = 1.24
hopes this helps.</span>
5 0
3 years ago
Read 2 more answers
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