Answer: Timothy
Step-by-step explanation:
8/9=0.8888888889
2/3=0.6666666667
4/5=0.8
90 people!
27/90=0.3
0.3x100= 30%
Hope that helped! :)
Make them into improper fractions
(5*5)+3
(2*3)+2
Final fractions
28/5+8/3
Find a common denominator
Multiply 28/5 by 3
84/15
Multiply 8/3 by 5
40/15
Add - 84+40=124
Answers:
- A) Ray QS or Ray QR
- B) Line segment QS or SQ
- C) Plane QSR
- D) Line QS or RQ
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Explanation:
Part A)
When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.
The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.
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Part B)
A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).
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Part C)
When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.
So that's how we get the name "Plane QSR". The order of the letters doesn't matter.
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Part D)
To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.
- Line QR
- Line QS
- Line RQ
- Line RS
- Line SQ
- Line SR
Answer:
The cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Step-by-step explanation:
We are given the following in the question:
Let x units be the cost of a popcorn bag and y units be cost of soda.
The cost of 4 bags of popcorn and 3 sodas is 13.50.
Thus, we can write the equation:

The cost of 2 bags of popcorn and 5 sodas is 12.00
Thus, we can write the equation:

Solving the two equations, we get,

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.
Cost of 5 bags and 2 sodas
=
Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.