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Serhud [2]
3 years ago
11

The sum of 3 numbers is 62. The first number can be represented by the variable x. The second number is 7 more than the first nu

mber, and the third number is 3 times the first number. What is the third number?
Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer:

The third number = 33

Step-by-step explanation:

First number = x

Second number = x + 7

Third number = 3x

x + x + 7 + 3x = 62              Combine like terms

5x + 7 = 62                          Subtract 7 from both sides

5x = 62 - 7

5x = 55                                Divide by 5

5x/5 =  55/5

x = 11

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7 0
3 years ago
One number is 6 less than 3 times another number and their sum is 62.find the numbers
zysi [14]

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

<em><u>Subtract 6 from both sides.</u></em>

x - 3x = 56

<em><u>Combine like terms.</u></em>

-2x = 56

<em><u>Divide both sides by -2</u></em>

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

<em><u>Add 28 to both sides</u></em>

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

3 0
4 years ago
How can I write this out?
Scilla [17]
First of all we have to find the slope

y₂-y₁
--------
x₂-x₁.

2 - (-2)
------------
0 - 7


4
---
-7


this is the slope
7 0
3 years ago
The weekly cost per person to rent a cottage on a lake varies inversely with the number of people who share the cost. When four
liberstina [14]
A) When the relation is inverse, the product of the two related values is a constant. Here we have
    n·c = 4·312
    n·c = 1248 . . . . an equation relating n and c
You can rearrange this to
   c = 1248/n


B) Using 6 for n, we have
   c = 1248/6 = 208
The cost per person decreases from 312 to 208, so decreases by $104.
5 0
3 years ago
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