9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
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For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
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<em>Additional comment</em>
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)
Answer:
y is 1 and x is 4
Step-by-step explanation:
becasue the y intercepts at 1 and the x intercepts at 4
Answer:
34 apples
Step-by-step explanation:
To answer: try setting up each of the equations for Annie and Eva.
Annie: 2(bag) + 5
Eva: 1(bag) + 11
Those two equations equal each other. So set that up:
2(bag) + 5 = 1(bag) + 11
Now solve for the size of the bag.
2(bag) - 1(bag) = 11 - 5
1(bag) = 6 apples
Now substitute 6 back into either equation to determine number of apples.
Annie: 2(6) + 5 = 12+5=17
They each have 17, so there are 34 apples in total.
Answer:
Kindly check explanation
Step-by-step explanation:
Total Number of pens = 5
Number of defective pens = 2
Number of non-defective pens = 3
A.) number of defective pens selected :
X : {0, 1, 2}
It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.
2.)
Defective as Success (since selecting a defective pen is the point of interest.
3.)
Since selection is done without replacement
Probability of success per selection is different for each selection ;
Number of defective = 2
Number of observations = 5
P(success on first selection) = 2/5
P(success on second selection) = 1/4
Hence, X is not well approximated by a binomial random variable.
4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.
5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.
Answer:
Given:
I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.
I then realized that I would be late if I kept walking.
I ran the rest of the way. I run twice as fast as I walk.
Find:
The number of minutes in total did it take me to get from home to work
Step-by-step explanation:
Had I kept walking, the second half of my trip would have taken 10 more minutes.
By doubling my speed for the second half of my trip,
I halved the amount of time it took me to finish.
So, the second half of my trip took 5 minutes, for a total trip time of 10+5 = 15 minutes.
The number of minutes in total did it take me to get from home to work is 15 minutes.
