So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is
The second equation is : 5x + 17y = 152
Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)
55x + 40y = 790
55x + 187y = 1672
Then we subtract the second equation by the first one
55x-55x + 187y - 40y = 1672 - 790
147y = 882
y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
11x + 8(6) = 158
11x + 48 = 158
11x = 110
x = 10
So the awnser is :
Each adult ticket (x) is $10
And each student ticket (y) is $8
I hope you understood my explanation,
Answer:
16
Step-by-step explanation:
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
Answer:
<u>Shelter A</u>
Step-by-step explanation:
For Shelter A: the whiskers range from 8 to 30
so, the minimum weight of Shelter A is 8 pounds.
For For Shelter B: the whiskers range from 10 to 28
so, the minimum weight of Shelter B is 10 pounds.
<u> Which animal shelter has the dog that weighs the least? </u>
<u>The answer is: Shelter A</u>
Note: whiskers are plotted are from the minimum to Q1 and from Q2 to the max.
See the attached figure.
Answer:
78.5398 cm^2
Step-by-step explanation:
r = 1/2*d => d = 10 cm
r = 5
A = pi*r^2
= pi*5^2 => 3.1415*5^2
=> 78.5398