Answer:
1st even integer = 2
2nd even integer = 4
3rd even integer = 6
Step-by-step explanation:
Let the consecutive even integers be:
1st = 2(x)
2nd= 2(x +1) = 2x + 2
3rd = 2(x + 2) = 2x + 4
According to Given conditions:
7(2x) = 4 + 2x +2 + 2x + 4
By Simplifying:
14x = 10 + 4x
Subtracting 4x from both sides
14x - 4x = 10 + 4x -4x
10x = 10
Dividing both sides by 10 we get:
x = 1
Now putting value of x in supposed integers:
1st even integer = 2(1) = 2
2nd even integer = 2(1)+2 = 4
3rd even integer = 2(1) + 4 = 6
I hope it will help you!
Answer:
24 sets
Step-by-step explanation:
Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. Carey also wants to interview one of the 2 students working backstage on the tech crew. Therefore, there can be 24 different sets of people that Carey can interview.
4 boys x 3 girls = 12 people
12 people x 2 students working = 24
26 and 27.
Consecutive numbers are pairs of numbers like 1 and 2 or 5 and 6. One number right after the other to equal the whole number. Subtract 1 from 53 to get 52 then divide 52 by 2 to get 26. Then just add the 1 back on to get 26 and 27 to equal 53.
Hope this helped! :)
