MATHEMATICS HIGH SCHOOL

The students in Ms. Chang's class decide to order water bottles that advertise the walkathon. Hyun obtains two different quotes for the costs of the bottles. a. For each company, write an equation Hyun could use to calculate the cost for any number of bottles b. On the same set of axes, graph both equations from part (a). Which variable is the independent variable? Which is the dependent variable? C. From which company do you think the class should buy water bottles? What factors influenced your decision? d. For what number of water bottles is the cost the same for both companies? Explain.

Answers

Answer 1
Answer:

The students' order of water bottle is an illustration of linear equation

  • The equations are y = 54x and y = 525 + 53x
  • The class should buy water bottles from Fill it Up Inc
  • 525 water bottles costs the same for both companies

The equation for the cost of bottle

For Fill it Up Inc, we have:

Cost = $54 per bottle

For Bottles by Bob, Co, we have:

Set-up fee = $525

Cost = $53 per bottle

So, the equations are:

  • Fill it Up Inc: y = 54x
  • Bottles by Bob: y = 525 + 53x

The number of bottle (x) represents the independent variable, while the total cost (y) represents the dependent variable

The graph

See attachment for graphs

The class decision

The class should buy water bottles from Fill it Up Inc, because Fill it Up Inc do not charge set-up fee, and the company's rate per bottle is just a little above Bottles by Bob

The number of bottle at equal cost

In (a), we have:

y = 54x and y = 525 + 53x

Substitute 54x for y in the second equation

54x = 525 + 53x

Subtract 53x from both sides

x = 525

Hence, water 525 water bottles costs the same for both companies

Read more about linear equations at:

brainly.com/question/14323743

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Which is the greatest decimal number 1) 0.149 2) 0.03 3) 0.2 4) 0.15​

Answers

Answer:

option 3 0.2

Step-by-step explanation:

to know which is greatest decimal observe the first digit so 2 is greatest so option 3 is the answer

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Answers

1. Yes it shows proportional relationship because they go by 5.
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Please tell me which ones were wrong and which ones were right!

Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had:____________ a) a profit of $10
b) a profit of $8
c) a loss of $8
d) a loss of $10
e) neither a profit nor a loss

Answers

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: Loss\ \%=((x)/(10))^2\ \%

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

Loss\ \%=((20)/(10))^2\ \%\n\nLoss\ \%=4\ \%

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

x-(4)/(100)* x = 192\n\nx-0.04x = 192\n\n0.96x = 192\nx = 200

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

Joe's taxable income is $67,825. Use this tax schedule to calculate the total amount he owes in taxes.1. $8,993.752. $13,380.003. $12,348.80

Answers

the total amount he owes in taxes $13,380.003

Table:

If Taxable Income Is Over -- But Not Over

\left[\begin{array}{ccc}$0&$7,825\n$7,825&$31,850\n$31,850&$77,100\n$77,100&$160,850\n$160,850&$349,700\n$349,700&No-Limit\end{array}\right]

The Tax Is:

10 percent of the amount over $0

$782.50 plus 15 percent of the amount over 7,825

$4,386.25 plus 25 percent of the amount over 31,850

$15,698.75 plus 28 percent of the amount over 77,100

$39,148.75 plus 33 percent of the amount over 160,850

$101,469.25 plus 35 percent of the amount over 349,700

Answer Choices:


\left[\begin{array}{ccc}A.$12,348.80\nB.$4,386.25\nC.$13,380.00\nD.$8,993.75\end{array}\right]

Answers:


\left[\begin{array}{ccc}A.$12,348.807&Wrong\nB.$4,386.25&Wrong\nC.$13,380.00&Correct\nD.$8,993.75&Wrong\end{array}\right]

What is root 9 divided by root 25

Answers

Answer:

5÷3

Step-by-step explanation:
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