Answer:
The price of one drink is $10.75
Step-by-step explanation:
Let
$x = price of one drink
$y = price of popcorn.
<u>Autumn:</u>
Autumn spends a total of $156.50 on 2 drinks and 15 bags of popcorn.
Cost of 2 drinks = $2x
Cost of 15 popcorn = $15y
Total cost = $(2x+15y) = $156.50
<u>Kayla:</u>
Kayla spends a total of $59.25 on 3 drinks and 3 bags of popcorn.
Cost of 2 drinks = $3x
Cost of 15 popcorn = $3y
Total cost = $(3x+3y) = $59.25
You get the system of two equations:
![\left\{\begin{array}{l}2x+15y=156.50\\ \\3x+3x=59.25\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D2x%2B15y%3D156.50%5C%5C%20%5C%5C3x%2B3x%3D59.25%5Cend%7Barray%7D%5Cright.)
Divide the second equation by 3 and express y:
![x+y=19.75\\ \\y=19.75-x](https://tex.z-dn.net/?f=x%2By%3D19.75%5C%5C%20%5C%5Cy%3D19.75-x)
Substitute into the first equation:
![2x+15(19.75-x)=156.50\\ \\2x+296.25-15x=156.50\\ \\2x-15x=156.50-296.25\\ \\-13x=-139.75\\ \\13x=139.75\\ \\x=10.75\\ \\y=19.75-10.75=9](https://tex.z-dn.net/?f=2x%2B15%2819.75-x%29%3D156.50%5C%5C%20%5C%5C2x%2B296.25-15x%3D156.50%5C%5C%20%5C%5C2x-15x%3D156.50-296.25%5C%5C%20%5C%5C-13x%3D-139.75%5C%5C%20%5C%5C13x%3D139.75%5C%5C%20%5C%5Cx%3D10.75%5C%5C%20%5C%5Cy%3D19.75-10.75%3D9)
The price of one drink is $10.75
Answer:
Step-by-step explanation:
A) X IS GREATER THEN OR EQUAL TO 3 BUT LESS THEN 8
B) X IS GREATER THEN OR EQUAL TO -2, BUT LESS THEN 3.
SO ANSWER IS A
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
Answer:
It's 4+33-37 so that's the answer
Just divide 77 / 10
77 / 10 = 7.7
Or move the decimal place one time to the left.
77 = 7.7