# How to show 6 groups of students sell 162 balloons and there are 3 students in each group

QUESTION POSTED AT 14/12/2019 - 05:25 PM

What you would do is put 6 groups with 3 students in each group and then put 9 balloons in each group

## Related questions

### Ms. Chang has 24 students in her class, and 6 of them are boys. What is the ratio of boys to girls?

The total number of students is 24 and the total number of boys is 6, therefore

Number of girls = 24 – 6 = 18

Therefore the ratio of the boys to girls is

Number of boys/ number of girls = 6/18 ~ 1/3

The ratio suggests that there is 1 boy for every 3 girls

ANSWERED AT 18/01/2020 - 01:13 PM

QUESTION POSTED AT 18/01/2020 - 01:13 PM

### Salisbury Middle School participated in a charity walk-a-thon. The data below shows the amount of money raised by the eighth grade classes. In a box-and-whisker plot for the data, which number would represent the third quartile? {$140,$174, $148,$171, $150,$167, $152,$166} A. 165 B. 166 C. 167 D. 169

Data set: {$140,$174, $148,$171, $150,$167, $152,$166}

Arrange the data set in ascending order:
140, 148, 150, 152, 166, 167, 171, 174

5 number summary:
1) minimum = 140
2) 1st quartile = 149
3) median = 159
4) 3rd quartile = 169   Choice D.
5) maximum = 174

ANSWERED AT 18/01/2020 - 01:09 PM

QUESTION POSTED AT 18/01/2020 - 01:09 PM

### Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown. Step 1: (6x4 – 8x2) + (3x2 + 4) Step 2: 2x2(3x2 – 4) + 1(3x2 + 4) Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next? Faelyn should realize that her work shows that the polynomial is prime. Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4). In Step 2, Faelyn should factor only 2x out of the first expression. Faelyn should factor out a negative from one of the groups so the binomials will be the same.

The correct answer is the second option:

Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4)

After grouping the terms, the common factors from each binomial can be factored out:
3x2(2x2 + 1) -4(2x2 + 1)
Further factoring of the common binomial:
(3x2 - 4)(2x2 +1)

Therefore, the factored form of x4 – 8x2 + 3x2 + 4 is (3x2 - 4)(2x2 +1).

ANSWERED AT 18/01/2020 - 01:09 PM

QUESTION POSTED AT 18/01/2020 - 01:09 PM

### A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay factor, b? 0.79 0.21 79 21 Answer: 0.79 Step-by-step explanation: Given: The cost price of car =$19,000

The rate of depreciation = 21 % = 0.02

The exponential decay equation (depreciation) is given by :-

, where A is the initial amount and b is the decay factor for x years such that , where r is the rate of decay.

If we substitute the value of r , we get

The decay factor =

ANSWERED AT 18/01/2020 - 01:06 PM

QUESTION POSTED AT 18/01/2020 - 01:06 PM

### Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north. At what location is the vessel in distress located? Describe how you arrived at your conclusion using complete sentences. You must show all work in order to receive credit.

G=t negative 320+f5 t=b

ANSWERED AT 18/01/2020 - 01:03 PM

QUESTION POSTED AT 18/01/2020 - 01:03 PM

### All 60 students in the seventh grade must choose a Fall sport in which they will participate. 1/5 of them choose volleyball, 40% of them choose soccer, and the remainder choose softball. How many students choose softball?

1/5 = 20%
100%-40%-20%=40%
40% chose softball
40% of 60:
60 x 0.4= 24 students chose softball

ANSWERED AT 18/01/2020 - 01:00 PM

QUESTION POSTED AT 18/01/2020 - 01:00 PM

### Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.

What or where is the question?

ANSWERED AT 18/01/2020 - 12:56 PM

QUESTION POSTED AT 18/01/2020 - 12:56 PM

### Which of the following is a unique feature of credit unions? ACredit unions are typically owned and run by their members. BCredit unions limit membership to certain people or groups. CCredit unions offer a wide variety of banking services. DBoth A & B

Both A and B are correct.

Step-by-step explanation:

The unique feature of credit unions is -

a)Credit unions are typically owned and run by their members

b)Credit unions limit membership to certain people or groups

Credit unions are non profit cooperative organisations whose members can borrow money from these institutions at low interest rates. This is run by a few members.

These provide a variety of financial services like- savings accounts, CD's, credit cards etc.

ANSWERED AT 18/01/2020 - 12:55 PM

QUESTION POSTED AT 18/01/2020 - 12:55 PM

### Nadia surveyed 80 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science? A. 12 B. 32 C. 44 D. 48

It would be Choice "B"

ANSWERED AT 18/01/2020 - 12:55 PM

QUESTION POSTED AT 18/01/2020 - 12:55 PM

### Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

16x2−4x−4x+1=4x(4x−1)−1(4x−1)=(4x−1)(4x−1)=(4x−1)2 Length of each side=4x-1

ANSWERED AT 18/01/2020 - 12:54 PM

QUESTION POSTED AT 18/01/2020 - 12:54 PM

### Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Hello,

if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

ANSWERED AT 18/01/2020 - 12:54 PM

QUESTION POSTED AT 18/01/2020 - 12:54 PM

### Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for$3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h + c ≤ 80 3h + 3.5c ≤ 100 h + c ≤ 80 3h + 3.5c ≥ 100 h + c ≤ 100 3h + 3.5c ≤ 80 h + c ≤ 100 3h + 3.5c ≥ 80 Answer: Option D is correct. The system of inequalities are: ; Step-by-step explanation: Let h represents the number of hamburgers and c represents the number of cheeseburgers. From the given statement: Each hamburgers sells for$3 each

then,

the total sales of hamburgers sells is 3h

Each cheeseburgers sells for $3.50 each then, the total sales of cheeseburgers sells is 3.50c Since, he has 100 burgers then the inequality : And also, he must sell to have sales of at least$ 80

at least represented by symbol

then the inequality is;

Therefore, the system of inequality:

;

ANSWERED AT 18/01/2020 - 12:53 PM

QUESTION POSTED AT 18/01/2020 - 12:53 PM

### Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for$3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h + c ≤ 80 3h + 3.5c ≤ 100 h + c ≤ 80 3h + 3.5c ≥ 100 h + c ≤ 100 3h + 3.5c ≤ 80 h + c ≤ 100 3h + 3.5c ≥ 80 Given: hamburger = h ; sells for 3 cheeseburger = c ; sells for 3.50 100 burger buns h + c = 100 3h + 3.5c > 80 last option. ANSWERED AT 18/01/2020 - 12:53 PM QUESTION POSTED AT 18/01/2020 - 12:53 PM ### Andrew bought 3 baseball cards for$240. After a few months, he got an offer from his friend Jack to buy the first card for double its original value, along with either the second or third card. Andrew decided to sell the first card (at double its original value) along with the second card (at its original price) and got $320 for it. Or, selling the first card (at double its original value) card along with the third card (at its original price) would have only got him$280. What were the original prices for each of the 3 baseball cards? A-(80, 120, 40) B-(80, 130, 30) C-(130, 90, 20) D-(120, 80, 40)

Option D. (120, 80, 40)

Step-by-step explanation:

Let the cost of 3 baseball cards bought by Andrew are $x,$y and $z. Now we will form the equations to find the unknown values of x, y, and z. Statement 1 - Andrew bought 3 baseball cards for$240

Equation will be (x + y + z) = 240 --------(1)

Statement 2 - Jack offered a deal to buy the first card for the double of its original value along with the second card for $320. Equation will be 2x + y = 320 --------(2) Statement 3 - Jack offered another deal to buy first card for the double of its original value along with third card for$280

Equation formed 2x + z = 280 ------(3)

Now we can solve these equations to get the values of x, y and z.

From equation 2

y = 320 - 2x

From equation 3

z = 280 - 2x

Now we can replace the values of y and z in equation number 1.

Equation 1 becomes after substitution of y and z values

x + (320 - 2x) + (280 - 2x) = 240

Now we will group the similar terms

(x - 2x - 2x) + (320 + 280) = 240

-3x + 600 = 240

-3x = 240 - 600

-3x = - 360

x =

x = 120

Now  we put x = 120 in the value of y

y = 320 - 2x

y = 320 - 2×120

= 320 - 240

= 80

Similarly we put the value x = 120 in value of z

z = 280 - 2x

= 280 - 2×120

= 280 - 240

= 40

So the original values of 3 baseball cards are (120, 80, 40)

Option D. will be the answer.

ANSWERED AT 18/01/2020 - 12:53 PM

QUESTION POSTED AT 18/01/2020 - 12:53 PM

### In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and$18 per hour washing cars. You need to earn at least $600 during the month of November. 1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking. 2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars. 3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November. 4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print.. 5.Use the graph and algebraic model to answer the following: a.Why does the graph exist only in the first quadrant? b.Are you able to earn exactly$600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph? c.Is it possible to earn more than$600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph? d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print.. 6.How would the algebraic model be different if you needed to earn more than$600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model . 7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use? 8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you? #1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x. #2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y. #3. ANSWERED AT 18/01/2020 - 12:50 PM QUESTION POSTED AT 18/01/2020 - 12:50 PM ### Enrollment in a photography class increased from 25 to 35 students. What was the percent of increase in enrollment? Answer 40% Explanation A parentage value is a value that has been compared to 100. Percentage = (change in the value)/(the original value) × 100% = (35-25)/25 × 100% = 10/25 × 100% = 40% ANSWERED AT 18/01/2020 - 12:49 PM QUESTION POSTED AT 18/01/2020 - 12:49 PM ### Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work. x = 5 + 4 or -5 + 4 x = 9 or -1 ANSWERED AT 18/01/2020 - 12:38 PM QUESTION POSTED AT 18/01/2020 - 12:38 PM ### Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined salaries only put them at a slightly above-average income. They would also like to deduct interest paid on their student loans. Recommend an appropriate 1040 form for Sandy and Alex to fill out. a. 1040 b. 1040-EZ c. 1040-2 d. 1040-A The correct answer is: d.) 1040-A Explanation: A 1040-EZ is used if you are single or married filing jointly, make less than$100,000, and have no adjustments to your income. Sandy and Alex wish to deduct student loan interest, so they cannot use this form.

The next one is the 1040-A. This one can be used to deduct student loan interest, so this would be the one they should use. It is the simplest form that will allow them to claim what they wish to claim.

ANSWERED AT 18/01/2020 - 12:37 PM

QUESTION POSTED AT 18/01/2020 - 12:37 PM

### Tickets to a school production cost $5 for a student ticket and$10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440. Which value could replace c in the table? A. 67 B. 440 C. 67 – a D. 440 – a Answer: C= 67-A Step-by-step explan: ANSWERED AT 18/01/2020 - 12:37 PM QUESTION POSTED AT 18/01/2020 - 12:37 PM ### A random sample of 100 undergraduate students at a university found that 78 of them had used the university library’s website to find resources for a class. What is the margin of error for the true proportion of all undergraduates who had used the library’s website to find resources for a class? the answer is A on plato ANSWERED AT 18/01/2020 - 12:30 PM QUESTION POSTED AT 18/01/2020 - 12:30 PM ### A packet of candles and a box of matches cost ₦420. The candles cost 6 times as much as the matches. Find the cost of the matches. Please show the workings. Thanks Let's say cost of packet of candles = a cost of box of matches = b Total cost = 420 a + b = 420 cost of candles = 6 times of cost of box of matches a = 6 * b a = 6b a + b = 420 6b + b = 420 7b = 420 b = 60 so cost of matches = 60 ANSWERED AT 18/01/2020 - 12:28 PM QUESTION POSTED AT 18/01/2020 - 12:28 PM ### Part A:The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Hello, 4x²-12x+9=(2x)²-2*(2x)*3+3²=(2x-3)² ANSWERED AT 18/01/2020 - 12:24 PM QUESTION POSTED AT 18/01/2020 - 12:24 PM ### A survey showed that 25% of students chose cola as their favorite soda; 40% chose orange; and the other 35% chose grape. If you survey 32 students from the same group, how many will choose cola? 16 people 8 people 12 people 25 people A survey showed that 25% of students chose cola as their favorite soda; 40% chose orange and the other 35% chose grape. There are 32 students fromthe same group that took the survey. Let's find out how many will choose cola. => 32 * 0.25 = 8 Therefore, there are 8 people that chooses soda as their favorite drink. ANSWERED AT 18/01/2020 - 12:21 PM QUESTION POSTED AT 18/01/2020 - 12:21 PM ### An equation is shown below: 3(4x − 2) = 1 Which of the following correctly shows the steps to solve this equation? Step 1: 12x − 2 = 1; Step 2: 12x = 3 Step 1: 12x − 6 = 1; Step 2: 12x = 7 Step 1: 7x + 1 = 1; Step 2: 7x = 0 Step 1: 7x − 5 = 1; Step 2: 7x = 6 Answer: 1: 12x − 6 = 1 2: 12x = 7 Step-by-step explanation: ANSWERED AT 18/01/2020 - 12:19 PM QUESTION POSTED AT 18/01/2020 - 12:19 PM ### Part B: The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points) Hello, 16x²-9y²=(4x)²-(3y)²=(4x-3y)(4x+3y) ANSWERED AT 18/01/2020 - 12:11 PM QUESTION POSTED AT 18/01/2020 - 12:11 PM ### Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Help Denise plan the rest of the seating by solving for how many seats are in row 18. Then explain to Denise how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences. Given: 1st term = 11 common difference = 6 f(x) = 11 + 6(x - 1) f(18) = 11 + 6(18-1) f(18) = 11 + 6(17) f(18) = 11 + 102 f(18) = 113 number of seats in row 18. Row 1 11 11 2 11 6 17 3 17 6 23 4 23 6 29 5 29 6 35 6 35 6 41 7 41 6 47 8 47 6 53 9 53 6 59 10 59 6 65 11 65 6 71 12 71 6 77 13 77 6 83 14 83 6 89 15 89 6 95 16 95 6 101 17 101 6 107 18 107 6 113 ANSWERED AT 18/01/2020 - 12:08 PM QUESTION POSTED AT 18/01/2020 - 12:08 PM ### The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent? x = 10; the diver hits the water 10 feet away horizontally from the board x = 3; the diver hits the water 3 feet away horizontally from the board x = 10; the diver jumps in the pool at 10 feet per second x = 3; the diver jumps in the pool at 3 feet per second Answer: x = 3; the diver hits the water 3 feet away horizontally from the board Step-by-step explanation: ANSWERED AT 18/01/2020 - 12:08 PM QUESTION POSTED AT 18/01/2020 - 12:08 PM ### LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of$100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time: 100 + 38x = C LaToya has allocated a maximum of$404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

First we know that the maximum of money to spend is \$404. Then we will put it in equation:
100+38 x=404
38 x=404-100
38 x=304
x= 304:38
x= 8
So the answer is 8 months.

ANSWERED AT 18/01/2020 - 12:05 PM

QUESTION POSTED AT 18/01/2020 - 12:05 PM

### Coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? 1/6 1/12 2/3 1/4

Hello,

1/2 * 1/6=1/12
===============

ANSWERED AT 18/01/2020 - 12:03 PM

QUESTION POSTED AT 18/01/2020 - 12:03 PM

### A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary. A. 0.08 hours B. 17.5 hours C. 6 hours D. 2.92 hours

Hours to complete the job:
Rhonda = 5
Together = t

Work completed per hour:
Rhonda = 1/5
Together = 1/t