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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! =)
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3 years ago
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Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

6x + 3y = 12

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Required

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In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

6x + 3y = 12 becomes

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A product comes in cans labeled "38 oz". A random sample of 10 cans had the following weights:
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Answer:

b. 35.9, 39.1 ounces

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

barX=37.465 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=2.27 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

barX +- t*[(s)/(sqrt{n))]   (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_(alpha/2)=2.26

Now we have everything in order to replace into formula (1):

37.465-2.26[(2.27)/(sqrt{10))]=35.9    

37.465+2.26[(2.27)/(sqrt{10))]=39.1

So on this case the 95% confidence interval would be given by (35.9;39.1)    

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Sav [38]

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