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Taya2010 [7]
3 years ago
11

Solve the literal equation for x. s=2r+3x

Mathematics
2 answers:
Vsevolod [243]3 years ago
3 0
The literal equation for x = s=2r+3x
There no changes to the answer
steposvetlana [31]3 years ago
3 0
There is no change to this answer
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The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
2 years ago
3
Klio2033 [76]
Hello and I hate that omg omngol gomf
4 0
3 years ago
A Virginia county is considering whether to pay $50,000 per year to lease a prisoner transfer facility in a prime location near
Ratling [72]

Answer:

The county will plan to process 6000 prisoners per year.

Step-by-step explanation:

The holding area at the new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, a

We will multiply the effective capacity by 80%.

0.8\times7500=6000

Hence, the county will plan to process 6000 prisoners per year.

5 0
2 years ago
Solve ry + s = tx - m for y. Explain each step in your solution.
sergeinik [125]

y = (t x - m -s)/r

Step-by-step explanation:

Step 1 :

Given,

r y + s = t x - m

=> r y = t x - m -s

=>  y = (t x - m -s)/r

Step 2 :

A) r can take any values except 0.

This is because when r = 0, the denominator becomes 0 and division by 0 is undefined

The limitation for r is r should not be equal to 0

The other variables can take any value. Hence the other variables do not have any limitation

7 0
3 years ago
Does anyone know the answer
ryzh [129]
Yes it is 1210.428571

6 0
3 years ago
Read 2 more answers
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