Answer: 
Step-by-step explanation:
Given the following system of equations:

In order to solve the System of equations, you can use the Substitution method. The steps are:
1. You can solve for "x" from the second equation:

2. Substitute the equation obtained into the first original equation:

3. Now you must solve for "y":

4. Substitute the value of "y" into the equation
and evaluate:

Then, the solution is:

Answer:
- 40 popcorns and 90 pretzels sold.
============
Let the number of popcorns is x and pretzels is y.
Set up equations:
- x + y = 130
- 2.5x + 2y = 280
Solve by elimination, multiply the first equation by 2 and subtract from the second equation:
- 2.5x + 2y - 2x - 2y = 280 - 2*130
- 0.5x = 280 - 260
- 0.5x = 20
- x = 20/0.5
- x = 40
Find y:
- 40 + y = 130
- y = 130 - 40
- y = 90
Answer:
7.5cm²
Complete question:What is the surface area of the 8-sided figure?
Step-by-step explanation:
Consider the half of the 8-sided die i.e the pyramid ABCDE:
As the base is 6 of the perimeter, so each side of the base is 6/4=3/2
Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.
Considering the right triangle EOM:
EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is

5. So side EBC has area

6. The total area is 8*Area(EBC)=
Answer:
10 ≥ 2(2.99) + 0.67b
10 ≥ 5.98 + 0.67b
4.02 ≥ 0.67b
6 ≥ b
David can buy 6 pounds of bananas at most.
Hope I helped <3