Answer:
6/21.
Step-by-step explanation:
let the rational number be 2x/7x.
2x + 4 / 7x - 2 = 10 /19
Cross multiply:
19(2x + 4) = 10(7x - 2)
38x + 76 = 70x - 20
96 = 70x - 38x
32x = 96
x = 3.
So the rational number is 2*3/ 7*3
= 6/21.
Answer:
Step-by-step explanation:
In March, Your Co. will collect 20% of January's sales, 30% of February's sales, and 50% of March's sales:
.20×50 +.30×40 +.50×60 = 10 +12 +30 = 52
Similarly, in April, collections will be ...
.20×40 + .30×60 + .50×30 = 8 +18 +15 = 41
Answer: x = 16, x = 8
Step-by-step explanation:
|a| > 0, there are two solutions
|a| = 0, there is one solution
|a| < 0, there are no solutions
So, in this problem, we have two solutions.
In absolute value, the expression inside can be equal to itself OR its opposite.
Ex: |y| = y, |y| = -y
So, we can write two equations:
x - 12 = 4, x = 16
-x+12 = 4, x = 8
Check: |16 - 12| = |4| = 4
Check: |8 - 12| = |-4| = 4
Answer:
13 times
Step-by-step explanation:
You divide 91 and 7 to get your answer as the answer is asking for times.
Answer:
Step-by-step explanation:
15. (-4-3)/(-5-0)= -7/-5= 7/5
y - 3 = 7/5x - 0
y = 7/5x + 3
16. (-2-3)/(4-0)= -5/4
y - 3 = -5/4x - 0
y = -5/4x + 3
17. (-3+5)/(0+3)= 2/3
y + 5 = 2/3(x + 3)
y + 5 = 2/3x + 2
y = 2/3x - 3
18. (-2-2)/(0+4)= -4/4= -1
y - 2 = -1(x + 4)
y - 2 = -x - 4
y = -x - 2
19. y - 3 = 1/2x - 0
y = 1/2x + 3
20. y - 2 = -(x + 1)
y - 2 = -x - 1
y = -x + 1
21. perp. -5/3
y + 5 = -5/3x + 0
y = -5/3x - 5
22. perp. 1/2
y + 1 = 1/2(x + 4)
y + 1 = 1/2x + 2
y = 1/2x + 1
23. perp. 3/4
y + 5 = 3/4(x + 4)
y + 5 = 3/4x + 3
y = 3/4x - 2
24. perp. 7/5
y - 4 = 7/5(x - 5)
y - 4 = 7/5x - 7
y = 7/5x - 3
