Answer:
Yes
Step-by-step explanation:
Hi,
Since, in this case, x is being raised to something, then that means it is, in fact, an exponential function.
Hope this helps :)
Use algebra to set up 2 equations.
Assign c as number of tickets for CATS and w for number of tickets of WICKED
c + w = 2700
c / w = 7 / 11
Then solve for one of them in the first equation
c = 2700 - w
Then put this value for c into the 2nd equation
(2700 - w) / w = 7 / 11
Now cross multiply the numerator by denominator of both numerator and denominator pairs
7w = 11 x (2700 - w)
7w = 29700 - 11w
Now solve for w
7w = 26700 - 11w
Add +11w to both sides
18w = 29700
Now divide by 18 on both sides
w = 1650
Then c is the remainder of that ... 2700 - 1650 = 1050
You can also check because 7 / 11 = 1050 / 1650
Answer:
A) 12%
Step-by-step explanation:
Lets assume a random diameter to work with. I will use a diameter of 10.
Circumference = πD
Circumference = π * 10
Circumference = 31.415
Decreasing the circumference by 12%
31.415 * 0.12 = 3.769
31.415 - 3.769 = 27.64
To find out what percent the diameter is reduced by we will find out the new diameter with the new circumference
Circumference = πD
27.64 = π * D
D = 27.64 / π
New Diameter = 8.8
OldD - NewD
10 - 8.8 = 1.2
1.2/10 = 0.12
The diameter decreased by 12%
Answer:
He can go 10.78 miles
Step-by-step explanation:
This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:
and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:
Attached solution with steps.