Answer:
x ≥ −5 and x < 4
Step-by-step explanation:
-4x + 1 ≤ 21 and 5x + 2 < 22
5x + 2 < 22 =<u> x < 4</u>
We can plug it in: 5 x 3 + 2 < 22 = <u>17 < 22</u>
-4x + 1 ≤ 21 = x= -5 and lower
Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = <u>x ≥−5</u>
So both answers would be:
x ≥−5 for -4x + 1 ≥ 21
x < 4 for 5x + 2 < 22
The answer is Rotation.
Good luck!
Yes since 1/8 is equal to 4/32
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
7.5 ft because
6/30 = .0005 so then x we factor in equals 7.5 for
