Answer: 21?
Step-by-step explanation: if the ratio is 7:5 and its now x:15 and 15 divided by 5 is three so you have to multiply 7 by three to.
Let x represent lower level tickets that cost $77
Let y represent upper level tickets that cost $99
Cost equation: 77x + 99y = 247,071
Tickets equation: x + y = 2615
Using the elimination method, multiply the second equation by -77:
77x + 99y = 247,071
-77x - 77y = -201,355
--> 22y = 45,716
--> y = 2,078
Now plug "y" into either equation and solve for "x". I chose the Tickets equation. x + y = 2615 → x = 2615 - y → x = 2615 - 2078 → x = 537
Answer: lower level = 537 tickets, upper level = 2078 tickets.
the greatest common factor is 8
List the factors of 16 and 40:
16: 1,2,4,8,16
40: 1,2,4,5,8,10,20,40
8 is the greatest common factor
Givens
Slower plane
r = r
t = 2.5 hours
d = d
Faster Plane
r_faster = 1.5 * r
t = 2.5 hours
d1 = d + 127.5
The time is the same for both
t = d/r
d1/r1 = d/r
(d+ 127.5)/1.5r = d/r Multiply each side by r
(d + 127.5)/1.5 = d Multiply both sides by 1.5
d + 127.5 = 1.5d Subtract d from both sides.
127.5 = 1.5d - d
127.5 = 0.5d Divide by 0.5
127.5 / 0.5 = d
255 = d
Now you can go back and figure out the rates.
First find d1
d1 = d + 127.5
d1 = 255 + 127.5
d1 = 382.5
<em><u>Rate of the slower plane</u></em>
d = 255
t = 2.5 hours
r = d/t
r = 255/2.5
r = 102 miles per hour.
<em><u>Faster plane</u></em>
d1 = 382.5 miles
t = 2.5 hours
r1 = d/t
r1 = 382.5/2.5 = 153 miles per hour.
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis
Step-by-step explanation:
