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Sindrei [870]
3 years ago
11

F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.

Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

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4 0
3 years ago
Solve for x.<br> 5x - 1 = 26<br> A) x= 27/5<br> B) 0x=5<br> C) x= -5
Ber [7]

5x-1= 26

5x-1+1= 26+1

5x= 27

Divide by 5 for 5x and 27

5x/5= 27/5

x= 27/5

Answer is x= 27/5 - A)

4 0
3 years ago
randy earns $14.50 per hour for the first 40 hours worked in a week and $21.75 per hour for hours over 40. Last week Randy earne
Nutka1998 [239]

Answer:

4 hours

Step-by-step explanation:

We know the following:

Total amount Randy earned: $667

Pay for first 40 hours: $14.50 per hour

Pay after 40 hours: $21.75 per hour

We need to find the total extra hours: x

If the total number of hours worked are, T, then: x + 40 = T

Total pay received for the first 40 hours: 40 \times 14.50 = 580

If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.

$667 - $580 = $87 ------- (a)

Total pay received for working after 40 hours: 21.75x

We know from eq (a)  that total pay is 87, hence we can find the number of hours using this.

21.75x = 87\\\\x = \frac{87}{21.75}\\\\x = 4

Randy worked 4 extra hours.

6 0
3 years ago
The sum of three certain consecutive numbers is 240. Find the three numbers. [Hint: Let x stand for the smallest number. Since t
aleksley [76]
Write an equation based on the problem in the terms of x and solve the equation
first number + second number + third number = 240
x + x + 1 + x + 2 = 240
3x + 3 = 240
3x = 240 - 3
3x = 237
  x = 237/3
  x = 79
The smallest number, x, is equal to 79

Find the next two numbers
the second number = x + 1
the second number = 79 + 1
the second number = 80

the third number = x + 2
the third number = 79 + 2
the third number = 81

ANSWER: The three numbers are 79, 80, 81
7 0
3 years ago
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