# 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

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

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

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

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

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).

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

**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

G=t negative 320+f5 t=b

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

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

1/5 = 20%

100%-40%-20%=40%

40% chose softball

40% of 60:

60 x 0.4= 24 students chose softball

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

What or where is the question?

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

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

**Answer:**

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

It would be Choice "B"

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

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

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

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....

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

**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

Given:

hamburger = h ; sells for 3

cheeseburger = c ; sells for 3.50

100 burger buns

h + c = 100

3h + 3.5c__>__ 80 last option.

hamburger = h ; sells for 3

cheeseburger = c ; sells for 3.50

100 burger buns

h + c = 100

3h + 3.5c

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

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

**Answer:**

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

#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.

#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

__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

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

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

**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

the answer is A on plato

ANSWERED AT 18/01/2020 - 12:30 PM

QUESTION POSTED AT 18/01/2020 - 12:30 PM

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

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

Hello,

4x²-12x+9=(2x)²-2*(2x)*3+3²=(2x-3)²

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.

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.

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

**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

Hello,

16x²-9y²=(4x)²-(3y)²=(4x-3y)(4x+3y)

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

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

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

**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

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.

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

Hello,

1/2 * 1/6=1/12

===============

1/2 * 1/6=1/12

===============

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

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

Hours to complete the job:

Wade = 7

Rhonda = 5

Together = t

Work completed per hour:

Wade = 1/7

Rhonda = 1/5

Together = 1/t

Adding them together:

1/7 + 1/5 = 1/t

12/35 = 1/t

t = 2.92

Therefore, it would take them 2.92 hours if they worked together.

Wade = 7

Rhonda = 5

Together = t

Work completed per hour:

Wade = 1/7

Rhonda = 1/5

Together = 1/t

Adding them together:

1/7 + 1/5 = 1/t

12/35 = 1/t

t = 2.92

Therefore, it would take them 2.92 hours if they worked together.

ANSWERED AT 18/01/2020 - 11:57 AM

QUESTION POSTED AT 18/01/2020 - 11:57 AM