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mart [117]
2 years ago
15

One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

<em>x = 5y - 6 </em> This is just the first sentence written as an equation.

<em>x + y = 60</em> This is just the second sentence written as an equation.

<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to

<em>6y - 6 = 60</em> Collect like terms

<em>6y = 66</em> Add 6 to each side

<em>y = 11</em> Divide each side by 6

<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is

<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55

<em>x = 49</em> Subtract 6 from 55 to get 49

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Help me with the right answer
Nadya [2.5K]

Answer:

x = 3

y = 1

Step-by-step explanation:

9x - y = 26  ---------------(I)

9x + y = 28 ---------------(II)

9x - y = 26

9x = 26 + y

Substitute 9x = 26 + y in equation (II)

26 + y + y = 28               {add like terms}

26 + 2y = 28             {subtract 26 from both sides}

         2y = 28 - 26

        2y = 2    {divide both sides by 2}

           y = 2/2

y = 1

Substitute y =1 in equation (I)

9x - 1 = 26

9x = 26 + 1

9x = 27

x = 27/9

x = 3

x = 3

y = 1

6 0
3 years ago
Read 2 more answers
A park district has 45 pine trees and 30 oak trees to be planted. They are separating the trees for different areas. They want e
Lady_Fox [76]

Answer:

greatest number of areas that can be created=5

Step-by-step explanation:

given data

Number of pine trees = 45

Number of oak trees = 30

solution

we want area have same number of both trees

so we get here greatest number of area

we find here  greatest common factor of 45 and 30

so Prime factorization of 45 and 30 are

45 = 3 × 3 ×  5

30 = 2 × 3 ×  5

as here GCF = 5

so here greatest number of areas that can be created=5

6 0
2 years ago
Consider the following number line.
pshichka [43]

Answer:

The choice A

Step-by-step explanation:

B+A=BA+BA+BA=3BA

6 0
3 years ago
If you have 3/4 cup of flour how many eigths do you have
Nina [5.8K]
Your answer to the problem is 6/8
4 0
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Evaluate 4(x+3)(x+1)/(x+5)(x-5) for x =3. A. 3/2 B. -6 C. 6 D. -3/2
sergey [27]

Answer:

-6

Step-by-step explanation:

Reduce the expression by cancelling common factors

5 0
2 years ago
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