one batch of cookies makes 24 cookies. the recipe calls for 1 3/4 cups of flour. if Sarah needs to make 60 cookies how much flou
r will she need.
1 answer:
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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.
Answer:
Step-by-step explanation:
We can see the fractions and
of cups.
It can be seen that denominator has 4 i.e. the fraction .
Let us suppose, a unit is equal to of a cup.
Susan was supposed to use of a cup.
i.e. 5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
a.
Alternatively, we could have directly divided the given fractions: