Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for brownies calls for 2 eggs per batch. If Jessica uses 18 eggs and makes 11 batches, how many batches of cookies and brownies did she make?

Answers

Answer 1

Answer:

Number of batches of cookies = 4

Number of batches of brownies = 7

Step-by-step explanation:

Let the number of batches of cookies she made = x

And the number of batches of brownies = y

Total number of batches she made = 11

So the equation representing batches will be,

x + y = 11 ---------(1)

Her recipe for cookies calls for eggs = 1 per batch

So eggs required for x batches of cookies = 1 × x = x

Similarly, her recipe for brownies calls for eggs = 2 per batch

So, eggs required for y batches of brownies = 2y

Total number of eggs required = 18

Therefore, equation will be,

x + 2y = 18 ---------- (2)

Equation (2) minus equation (1)

(x + 2y) - (x + y) = 18 - 11

y = 7

From equation (1),

x + 7 = 11

x = 4

Therefore, number of batches of cookies and brownies she made were 4 and 7.


Related Questions

2x + 9 - 4(x+1) = 5x + 8

2x + 9 - 4(x+1) = 5x + 8

Answers

I hope this helps you

2x+9-4x-4=5x+8

9-4-8=5x+4x-2x

-3=7x

x=-3/7

Answer:

x= 3/7

hope this help sorry if im wrong

Order the following units of a capacity families to greatest gallon paint cup quart

Answers

Answer:

7 yards

Step-by-step explanation:

I invested $750 and earned 16% yearly interest

Write the equation

Complete the table

Answers

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

---------------------------------------------------------

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25

Answers

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

solve 4x-13=7x14 justify each step​

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-13-(7*x^14)=0

Equation at the end of step 1

 (4x - 13) -  7x14  =

Pulling out like terms

3.1     Pull out like factors :

  -7x14 + 4x - 13  =   -1 • (7x14 - 4x + 13)

Equation at the end of step

 -7x14 + 4x - 13  = 0

Equations of order 5 or higher:

4.1     Solve   -7x14+4x-13 = 0

You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio?

Answers

Answer:

You will need 187 80 pounds bags of concrete.

Step-by-step explanation:

12x14x(2/3) x 0.6 = 186.666 or 187

is 27.14159 rational or irrational

Answers

Answer:

It´s rational

Step-by-step explanation:

27,14159 = 2714159/100000

Rational

1 5/9÷(−2/3)+(−2 3/5)

Answers

Answer:

(-74)/15

Step-by-step explanation:

Simplify the following:

(1 + 5/9)/((-2)/3) - (2 + 3/5)

Multiply the numerator of (1 + 5/9)/((-2)/3) by the reciprocal of the denominator. (1 + 5/9)/((-2)/3) = ((1 + 5/9)×3)/(-2):

((5/9 + 1) 3)/(-2) - (2 + 3/5)

Put 1 + 5/9 over the common denominator 9. 1 + 5/9 = 9/9 + 5/9:

(9/9 + 5/9 3)/(-2) - (2 + 3/5)

9/9 + 5/9 = (9 + 5)/9:

((9 + 5)/9×3)/(-2) - (2 + 3/5)

9 + 5 = 14:

(14/9×3)/(-2) - (2 + 3/5)

14/9×3 = (14×3)/9:

((14×3)/9)/(-2) - (2 + 3/5)

((14×3)/9)/(-2) = (14×3)/(9 (-2)):

(14×3)/(9 (-2)) - (2 + 3/5)

3/9 = 3/(3×3) = 1/3:

14/(3 (-2)) - (2 + 3/5)

The gcd of 14 and -2 is 2, so 14/(3 (-2)) = (2×7)/(3 (2 (-1))) = 2/2×7/(3 (-1)) = 7/(3 (-1)):

7/(3×-1) - (2 + 3/5)

Put 2 + 3/5 over the common denominator 5. 2 + 3/5 = (5×2)/5 + 3/5:

7/(-3) - (5×2)/5 + 3/5

5×2 = 10:

7/(-3) - (10/5 + 3/5)

10/5 + 3/5 = (10 + 3)/5:

7/(-3) - (10 + 3)/5

10 + 3 = 13:

7/(-3) - 13/5

Multiply numerator and denominator of 7/(-3) by -1:

(-7)/3 - 13/5

Put (-7)/3 - 13/5 over the common denominator 15. (-7)/3 - 13/5 = (5 (-7))/15 + (3 (-13))/15:

(5 (-7))/15 + (3 (-13))/15

5 (-7) = -35:

(-35)/15 + (3 (-13))/15

3 (-13) = -39:

(-35)/15 + (-39)/15

-35/15 - 39/15 = (-35 - 39)/15:

(-35 - 39)/15

-35 - 39 = -(35 + 39):

(-(35 + 39))/15

| 1 |  

| 3 | 9

+ | 3 | 5

| 7 | 4:

Answer: (-74)/15

What is the mapping rule you use to reflect a figure across the y-axis?

Answers

Answer is - The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Explanation

Your x and y points will become -x and y
Only your x point changes to the opposite sign

Example in the attachment shows
points (2, 3) change to ( -2, 3)
What is the mapping rule you use to reflect a figure across the y-axis?

A calibrated measurement system is used to quantify an analog measurand. A measurement standard with a value of 5.3 units was measured 10 times. The average and standard deviation of the resulting measurements are 5.4 and 0.4, respectively. What is the amount of bias error

Answers

A bias error is the difference between the expected value and the true value of the data.

The bias error of the given data is 0.1

Solution:

Bias Error= Expected Value- True Value

The mean is taken as the expected value.

Bias Error= 5.4-5.3

Bias Error= 0.1

The bias error is also known as systematic error.

The bias error can also be understood by the following.

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A pair of sneakers which normally cost $120 is on sale for $78. What is the percent markdown(percent decrease)?

Answers

Answer:If the original price was $120 and it dropped down to 78 the Mark down price percentage will be 53.85%

Step-by-step explanation:

simplify cotø cosø tanø cscø

Answers

: 1+1=10 and that is why Texas history is really important for bob

What are the values of a and y
The value of a is
The value of y is

What are the values of a and y The value of a isThe value of y is

Answers

The value of x= 35
The value of y= 74

Little help ?please 5 points


Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?

Little help ?please 5 points Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and

Answers

Answer:

I Think E But Im Not Sure About It

The average monthly income of three persons is rs. 3,600. If the income of the first is 1/5 of the combined income of the other two then his monthly income is

Answers

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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The fraction of PKR 1 is 50 paisas

Answers

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

What is a fraction?

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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giving brainliest !! *easy*

giving brainliest !! *easy*

Answers

Answer:

332.5º

Step-by-step explanation:

To convert radians to degrees, you multiply the radians by 180/π.

133π/72 • 180/π

We can see that the π's will cancel out. Therefore, we have:

133/72 • 180

Multiply.

133/72 • 180 = 23940/72

Simplify.

665/2 = 332.5

Your answer is:

332.5º

Hope this helps!

Answer:

332.5 º is the answer

Step-by-step explanation:

...

Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is
%.

Answers

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Convert 10 pounds and 12 ounces to ounces.

Answers

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Would really appreciate if someone helped me with this one please!

Would really appreciate if someone helped me with this one please!

Answers

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

How to find the value of x?

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (1) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.​

Answers

The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

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15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?

- 2.5 days
- 7.5 days
- 12 days
- 26 days

Answers

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST

PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST

Answers

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
114
63
177
Do not play a
sport
61
67
128
Total
B. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.36.
175
150
Are being a girl and playing a sport independent events? Why or why not?
D. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.54.
325
A. Yes, they are independent, because P(girl)≈ 0.46 and P(girl | plays
a sport)≈ 0.36.
OC. Yes, they are independent, because P(girl) ≈ 0.46 and P(girl | plays
a sport) = 0.54.

Anthony surveys a group of students at his school about whether they play asport. This table shows the

Answers

The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.


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Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine

Answers

Answer:

hello your question is incomplete below is the complete question

Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?

1. Calculate the incidence of persons with one dose of vaccine for SI

2. Calculate the incidence of persons with two doses of vaccine for SI

3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI

answer : 1) ≈ 0.53 , (2)  ≈ 0.21,  (3)  ≈ 1.12

Step-by-step explanation:

cases of SI = 727

number of SI cases that received two doses of vaccine = 203

number of SI cases that received one dose of vaccine = 727 -203 = 524

controls = 1239

number of controls that received two doses of vaccine = 771

number of controls that received one dose of vaccine = 1239 - 771 = 468

I) The incidence of persons with one dose of vaccine for SI

= 524 / 992 = 0.528 ≈ 0.53

2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21

3) The Odds of SI in one dose group

=  524/468 = 1.119 ≈ 1.12

Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses

A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed

Answers

Answer:

A sample size of 752 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

If the candidate wants a 3% margin of error at a 90% confidence level, what size of sample is needed?

We have no estimate of the proportion, so we use \(\pi = 0.5\).

The sample size is n for which M = 0.03. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)

\(0.03\sqrt{n} = 1.645*0.5\)

\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)

\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)

\(n = 751.67\)

Rounding up:

A sample size of 752 is needed.

There are 4 windows in the living room. Each window has 1 set of blinds and 2 panels of curtains. The blinds cost $20 each. Each curtain panel cost $28. How much do the window treatments cost?

Answers

4X2=8 8x28= 224
4x20= 80
80+224=304


$304 total

Answer:

$304

Step-by-step explanation:

4 Windows (each window has 1 blind and 2 panels of curtains)

1 blind = $20 * 4 = $80

1  panels curtains = $28 * 2 = $56 * 4 = $224

$80 + $224 = $304

Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?

Answers

Answer: 8 months.

Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.

Answer:

8 mounths

Step-by-step explanation:

Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...

360 / 45 = 8

When is choosing a sample from a population least likely to be appropriate? Select two options.
when the population is small
when the population is large
when the sample contains proportions of items/events/people that are different from those of the population
when the sample contains only items/events/people that reflect the population
when surveying the entire population is time consuming

Answers

When the sample contains proportions of items/events/people that are different from those of the population. When surveying the entire population is time-consuming.

What is statistical sampling, and why is it significant?

In statistics, the term "sampling" refers to the act of choosing a portion of people or observations from a larger population in order to infer or derive information about the population as a whole. To create a representative sample that properly represents the features and distribution of the population is the aim of sampling.

The results of the research can be biased when the sample comprises proportions of things, events, or individuals that are different from those of the population, making the conclusions less trustworthy and accurate.

It might not be viable or practical to survey the entire population if it takes too much time, in which case a sample could be required.

Hence, the correct answer are: When the sample contains proportions of items/events/people that are different from those of the population.

When surveying the entire population is time-consuming.

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Answer:

*When the population is small.(A)

*When the sample contains proportions of items//events/people that are different from those of the population. (C)

Step-by-step explanation:

I took the Unit Test.

A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each bill does it contain?

Answers

Answer:

$5: 7

$1: 10

Step-by-step explanation:

We can write the equation as such.

1. 5x + (x + 3) = 45

2. 6x = 42

3. x = 7

The number of $5 bills is 7, now we can use the x + 3 to solve the amount of $1 bills.

1. x + 3 = ?

2. 7 + 3 = 10

There are 10 $1 bills.

Other Questions
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