Answer:
She would need
flour to make
times the recipe.
Step-by-step explanation:
To make 1 recipe Amelia uses =
of flour.
So, to make
times the recipe she would need =
.
We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).


Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

So, she would need
flour to make
times the recipe.
If
is a random variable representing your winnings from playing the game, then it has support

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So
has PMF

You can expect to win
![E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}](https://tex.z-dn.net/?f=E%5BW%5D%3D%5Cdisplaystyle%5Csum_ww%5C%2CP%28W%3Dw%29%3D%5Cfrac%7B43%5Ccdot3%7D%7B13%7D-%5Cfrac%7B11%5Ccdot10%7D%7B13%7D%3D%5Cboxed%7B%5Cfrac%7B19%7D%7B13%7D%7D)
or about $1.46 per game.
Answer:
6 5/12
Step-by-step explanation:
2 2/3 as a mixed number is 8/3
3 3/4 as a mixed number is 15/4
To make the 2 fractions have a common denominator, they become:
32/12 and 45/12
to add them up it will be: 77/12 which can be written as 6 5/12
Answer:
b. 45
Step-by-step explanation:
895 ÷ 19 = 47.1
47.1 rounded is 50, but since there is no 50 option, we'll just round it down to 45.
--
another way:
round 895 (900) and 19 (20)
divide:
895 ÷ 20 = 45
you'll get 45 either way :)
Every 5 minutes, you gain 4 gallons. 45/5 = 9, 9x4 equals 36, there would be 36 gallons of water in 45 minutes