Question

Please help, This is due at 5 pm

Question 1(Multiple Choice Worth 4 points)
(07.01)
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10?

2
3
4
5
Question 2(Multiple Choice Worth 4 points)
(07.01)
Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.

Yes, because the total will be $51.50.
Yes, because the total will be $60.25.
No, because the total will be $24.50.
No, because the total will be $37.25.
Question 3 (True/False Worth 4 points)
(07.01)
True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.

True
False
Question 4(Multiple Choice Worth 4 points)
(07.01)
Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?

x = 4, y = 2
x = 5, y = 6
x = 4, y = 3
x = 3, y = 5
Question 5(Multiple Choice Worth 4 points)
(07.01)
Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?

{2.5, 3, 4.5}
{1, 2.5}
{3, 4.5, 5}
{4.5, 5}

Answer 1

Explanation:

1) 2x+ 4 = 10

2x = 6

x = 3 (3 is the answer)

2) we have to substitute y with 3 and z with 4

3.75*3 + 6.50*4 ≥ 50

11,25 + 26 ≥ 50

37.25 ≥ 50

so the answer is no, because the total will be $37.25

3) 12k + 2 < 12

12k < 10

k < 5/6

3/4 < 5/6 so the answer is true

4) we have to try the options

a) 3*4 + 4*2 + 6 = 26

12 + 8 + 6 = 26

26 = 26 (true)

b) 3*5 + 4*6 + 6 = 26

15 + 24 + 6 = 26

45 = 26 (false)

c) 3*4 + 4*3 + 6 = 26

12 + 12 + 6 = 26

30 = 26 (false)

d) 3*3 +4*5 + 6 = 26

9 + 20 + 6 = 26

35 = 26 (false)

so the answer is x=4 , y=2

5) 3a + 4 ≥ 13

3a ≥ 9

a ≥ 3

so the answer is {3,4.5,5}