Answer:
6
/5
Step-by-step explanation:
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
-1/2(x + 2) + 11/2 + x = 3
-1/2x - 1 + 11/2 + x = 3
1/2x + 9/2 = 3
1/2x = 3 - 9/2 = -3/2
x = -3/2 * 2 = -3
x = -3
The distance between the two is 70
Step-by-step explanation:
#1 equals 1 1/4
The common denominator for 1/6, 2/3, and 5/12 would be 12. So I made the denominators 12 which means 1/6 would turn into 2/12, 2/3 turns into 8/12, and 5/12 stays the same. When I add them all up I get 15/12. I can turn that into a mixed number which would be 1 3/12. I can simplify that down to <em><u>1 1/4.</u></em>
#2 equals 3/4
The first thing you have to do is turn 2 2/3 and 1 3/4 into improper fractions. Which would turn 2 2/3 into 24/3 and 1 3/4 into 21/12. The next thing is you have to find a common denominator which would be 12. Next you have to turn the denominators into a 12 and change the numerator. Which makes the fractions: 24/12, 6/12, and 21/12. When you add 24/12 and 6/12 together you get 30/12 minus 21/12 you get 9/12. You can then simplify that to <em><u>3/4. </u></em>
#3 equals -1 17/36
The first thing you do is turn 3 5/18 into an improper fraction which would be 59/18. then you find a common denominator which would be 36 and make the denominators of those numbers into 36 which would be 11/36, 54/36, and 118/36. When you add up 11/36 and 54/36 you get 65. but when you - 65 by 118 you get -53 / 36. you can lend turn that into <u>-</u><em><u>1 17/36. </u></em>
I'm not sure about number 4 and I don't want to give you the wrong answer. Hopefully what I did show you helped!
