He will have $840 in 24 months, which is two years.
Answer: One cup is same as 3/3 cups. 4 cups is same as 4*(3/3) cups thats 12/3 cups. Then you can conclude that if you have 2/3 cups, you will need 6 of them to get 4 cups.
Step-by-step explanation:
Since Angle QPS is a straight angle, it equals 180 degrees.
Angles QPR and RPS equal QPS.
Angle QPR + Angle RPS = QPS
(7x-4) + (9x-40) = 180
x=14
Using elimination method. Using substitution will cause some fraction problems.
c- child tickets
a- adult tickets
4a + 7c = $83
5a + 6c = $90
multiply by -5
-20a - 35c = -$415
20a + 24c = $360
-11c= -$55
c = $5 child tickets
4a + 7(5)= $83
4a + 35 = $83
4a = $48
a= $12 adult tickets
Answer:
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
Step-by-step explanation:
The east edge cannot intersect with the west edge means that two lines are parallel.
If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.
Slope of west edge.
y = 2x + 5
The standard equation for slope intercept form is:
y = mx+b
where m is the slope. So, m= 2
Now finding line for east edge.
Option 1.
Convert each given equation to standard slope intercept form and find the slope.
2x -y =96
-y = -2x +96
Multiply with -1
y = 2x -96
m = 2
Option 2.
-2x -y = 96
-y = 2x +96
y = -2x-96
m = -2
Option 3
-y-2x =48
-y = 2x +48
y = -2x -48
m = -2
Option 4.
y+2x = 48
y = -2x+48
m = -2
So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
