1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex73 [517]
3 years ago
15

Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0
The recipe is 4 times bigger than you need it to be. 100/25=4 Now just divide all ingredients by 4.

1.)100/4=25
2.)72/4=18
3.)14/4=3.5
4.)6/4=1.5
5.)24/4=6
6.)80/4=20
7.)50/4=12.5
mel-nik [20]3 years ago
5 0
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 = \frac{25}{100} = \frac{1}{4}

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 * \frac{1}{4} = \frac{100}{1} *  \frac{1}{4} = \frac{100 * 1}{1 * 4} = \frac{100}{4} = 25

2.) 72 * \frac{1}{4} =  \frac{72}{1} *  \frac{1}{4} =\frac{72 * 1}{1*4} = \frac{72}{4} = 18

3.) 14 * \frac{1}{4} = \frac{14}{1} * \frac{1}{4} = \frac{14 *1}{1*4} = \frac{14}{4} = 3 \frac{1}{2}

4.) 6 * \frac{1}{4} = \frac{6}{1} * \frac{1}{4} = \frac{6*1}{1*4} = \frac{6}{4} = <span>1 \frac{1}{2} </span>

5.) 24 * \frac{1}{4} = \frac{24}{1} * \frac{1}{4} = \frac{24*1}{1*4} = \frac{24}{4} = 6

6.) 80 * \frac{1}{4} = <span>\frac{80}{1} * \frac{1}{4} = \frac{80*1}{1*4} = \frac{80}{4} = <span>20</span>

</span>7.) 50 * \frac{1}{4} = \frac{50}{1} * \frac{1}{4} = \frac{50*1}{1*4} = \frac{50}{4} = 12 \frac{1}{2}

And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
You might be interested in
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0
2 years ago
Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of
scZoUnD [109]

Answer:

a) X ~ e(0.03)

b) μ = 100/3

c) \sigma = 100/3

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ e(0.03)

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is \sigma = 1/0.03 = 100/3

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0
3 years ago
Solve for x: -3(x+3)=-3(x+1)-5
masya89 [10]
-3(x+3)=-3(x+1)-5
-3x-9=-3x-3-5
-3x-9=-3x-8
The question has no solution
3 0
3 years ago
Given that R=9x+8y find x when y=8 and R=4
Ilya [14]

Answer:

Step-by-step explanation:

R = 9x + 8y

4 = 9x + 8*8

4 = 9x + 64

Subtract 64 from both sides

4 - 64 = 9x + 64 - 64

-60 = 9x

Divide both sides by 9

-60/9 = 9x/9

-20/3 = x

x = -6 2/3

8 0
3 years ago
Read 2 more answers
Which values of P and Q result in an equation with no solutions?
Ad libitum [116K]

Try this solution/explanation:

<u>way 1</u>:

rule: for an equation where no roots P+Q=0. It means, Px-Qx=0, ⇔ x(P-Q)=0, ⇔ P=Q.

for answer 'D' P=Q=15.

<u>way 2</u>:

rule: if an equation of the line has a form y=kx+b, then y₁||y₂ if k₁=k₂. It means, for y₁=Px-45 || y₂=Qx+75, then P=Q. P=Q, if 'D' answer.

Answer: D

3 0
3 years ago
Other questions:
  • I will mark brainliest! Order the following numbers from least to greatest.
    12·2 answers
  • What is the answer to the question?
    8·1 answer
  • What is the percentage of 45/100?
    11·1 answer
  • Jamie jogged a total distance of 6 and 1 over 2 miles during the months of March and April. If Jamie only jogged 1 over 6 mile e
    10·2 answers
  • PLSSS HELP MY QUARTER ENDS TMMR y=__x+___
    11·1 answer
  • Cody ran 3 miles on his first day of training. The next day he ran 2/12 that distance. How far did he run the second day?
    12·1 answer
  • Which quadratic function in vertex form has a vertex at (−5 , −4) and passes through the point (−2 , −1)?
    5·1 answer
  • An organization advocating for healthcare reform has estimated the average cost of providing healthcare for a senior citizen rec
    5·1 answer
  • 7g - 6 = -20 what is the answer
    14·2 answers
  • When conducting a significance test in practice, how should you choose the alpha level?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!