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olya-2409 [2.1K]
8 months ago
11

Find the product of two numbers whose sum is 11 and diffrence is 3

Mathematics
1 answer:
spayn [35]8 months ago
7 0

Answer:

The numbers are 4 and 7

Step-by-step explanation:

To start, we can set up two equations.

x + y = 11 and x - y = 3

We now need to solve for one of these variables in terms of the other. I am choosing to solve for x, but either way will work. I'm using the second equation and solving for x by adding y to each side, which gives me

x = 3 + y

Now that I have a value for x, I can plug this into my first equation

3 + y + y = 11

Combining like terms gives me

3 + 2y = 11

Subtracting 3 from both sides leaves

2y = 8

And dividing by 2 to solve for y gets

y = 4

We now know one number, and to solve for the other we can plug our y value into either equation

x + 4 = 11

Subtracting 4 from both sides yields the x value

x = 7

So the two numbers are 4 and 7

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20-%20%20%5Cfrac%7B4%7D%7B10%7D%20%20%3D%20" id="TexFormula1" titl
rusak2 [61]

Answer:

8/30 (Simplified answer: 4/15)

Step-by-step explanation:

Find common denominators. Note the what you do to the denominator, you do to the numerator.

Multiply 10 to both the denominator & numerator of 2/3, and multiply 3 to both the denominator & numerator of 4/10

(10/10)(2/3) - (3/3)(4/10)

Simplify.

(20/30) - (12/30)

Simplify. Combine the terms

(20/30) - (12/30) = (20 - 12)/30 = 8/30

Simplify the fraction

(8/30)/(2/2) = 4/15

~

6 0
2 years ago
Can you pick out the number that is relatively prime to 242? A 33 B 48 C 135 D 209
Lady_Fox [76]

Answer:

C. 135 (I saw D in the comments, but that's incorrect.)

Step-by-step explanation:

Took the quiz like 5 minutes ago. (I do home school, so we instantly get out grades rather than having to wait.)

6 0
3 years ago
emma wants a barbie doll that cost $7.00 . she had only $3.29. how many more money she needs to buy a barbie? use estimate to so
d1i1m1o1n [39]
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4 0
2 years ago
(3/5x + 4) + (1/5x -1)
kiruha [24]

Answer:

4/5x+3

Step-by-step explanation:

remove the useless parenthesis, then calculate the x sum then the normal numbers sum

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goldenfox [79]

Answer:

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