Solve 10/6 + 3/6- 5/6 mentally
2 answers:
Answer: 4/3
Step-by-step explanation:
<u>Given</u>
10/6 + 3/6 - 5/6
<u>Add the numerators up (since they have the same denominator)</u>
=(10 + 3 - 5) / 6
<u>Simplify by addition/subtraction</u>
=(13 - 5) / 6
=8 / 6
<u>Divide 2 on both numerator and denominator to simplify the fraction</u>
=(8 ÷ 2) / (6 ÷ 2)
=
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Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
- ax +by = c
- dx +ey = f
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
