Answer: Shana bought 2 sodas.
Shana bought 5 bags of popcorn.
Step-by-step explanation:
Let S represent the number of sodas that Shana bought.
Let B represent the number of bags of popcorn that Shana bought.
Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that
S + B = 7
Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that
3S + 4B = 26 - - - - - - - - - - - - -1
Substituting S = 7 - B into equation 1, it becomes
3(7 - B) + 4B = 26
21 - 3B + 4B = 26
- 3B + 4B = 26 - 21
B = 5
S = 7 - B = 7 - 5
S = 2
Answer:
7. Closed circle with the line going left (put dot on 8)
9. Closed circle on -9 with the line going right
11. Open circle on -4 1/2 with the line going left
Step-by-step explanation:
The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)
There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12
Perimeter is 10 units while the area is 8 units I believe but that’s just by counting the boxes
Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:
So John is 8 years old
