If the sum of five consecutive even integers is 740 what is the largest value of this

9514 1404 393

  152

Step-by-step explanation:

The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...

  the largest value of the group is 152

The numbers are 144, 146, 148, 150, 152.

150

Step-by-step explanation:

the consecutive numbers will be

x, x+1, x+2,x+3,x+4=740

collect like terms

5x + 10 = 740

add 10 to both sides

5x= 740- 10

5x = 730

divided both sides by 730

x=730÷5

x=146

x+1=147

x+2=148

x+3=149

x+4=150

the largest value of this is x+4= 146+4=150

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -