Daniel bought a package of 12 water bottles for $6. Write an equation that relates the cost, c, of a package of water bottles to the number of bottles, b, in the package?

Answers

Answer 1

Answer:

c = 2b

Step-by-step explanation:

First, find the cost of one water bottle by dividing the total cost by the number of water bottles:

12/6

= 2

Then, set up an equation.

2b, where b is the number of bottles, represents the cost of the package of water bottles.

Set this equal to c, the cost, to create the equation.

c = 2b is the equation relating the cost to the number of bottles


Related Questions

1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her
delivery times on different days.
Petra's Deliveries
Delivery time (min)

Time (days)
(a) Label the two points on the graph. (Hint: ( D]
(b) What is the slope of the line? Show your work.
(c) Write the equation of the line in point slope form? Show your work.

Answers

Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Answer:

The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

Step-by-step explanation:

The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost

Answers

very much alot of very large amouts of big moneys that are worth a large amout

What is the amount earned by a car salesman if he sold a truck for $37.500 at a 2% commission? 15​

Answers

they’re totally correct !! ^

The odds that it will snow tomorrow are 9 to 6. What is the probability that it will not snow tomorrow?a) 0.1818
b) 0.2222
c) 0.1111
d) 0.1667
e) 0.8182

Answers

Answer:

a) 0.1818

Step-by-step explanation:

Given that:

The odd that it'll snow tomorrow is 9 to 6

The probability that it will snow tomorrow  [tex]=\dfrac{9}{9+6}[/tex]

[tex]=\dfrac{9}{15}[/tex]

= 0.6

The probability that it'll not snow tomorrow [tex]= 1 - \dfrac{9}{15}[/tex]

[tex]= \dfrac{15-9}{15}[/tex]

[tex]=\dfrac{6}{15}[/tex]

= 0.4

Let assume that the odd that it'll snow tomorrow is 9 to 2

The probability that it will snow tomorrow  [tex]=\dfrac{9}{9+2}[/tex]

[tex]=\dfrac{9}{11}[/tex]

= 0.8181

The probability that it'll not snow tomorrow  [tex]= 1 - \dfrac{9}{11}[/tex]

[tex]= \dfrac{11-9}{11}[/tex]

[tex]=\dfrac{2}{11}[/tex]

= 0.1818

None of the  options is correct.

Probability that it will not snow tomorrow = 0.4

The odds of an event E is defined as formulated in equation (1)

[tex]\rm Odd\; of\; event\; E = P(E)/P(\bar E) = P(E)/(1-P(E)).......(1)[/tex]

Let P(E) represents the probability that it will snow tomorrow.

Let event E represents the event that " it will snow tomorrow "

So the odds of the event that it will snow tomorrow

[tex]\rm \dfrac{P(E)}{P(\bar E)} =\dfrac{9}{6} = \dfrac{P(E)}{1-P(E)}.......(2)[/tex]

On solving equation (2) we get

[tex]\rm P(E) = \dfrac{9}{15}[/tex]

So the probability that it will snow tomorrow is 9/15

Hence the probability that it will not snow tomorrow

[tex]\rm P(\bar E) = 1- \dfrac{9}{15} = \dfrac{6}{15} =\bold{0.4}[/tex]

Probability that it will not snow tomorrow = 0.4

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Help !! Will mark brainlest !!
A flowering plant stands 6.5 inches tall when its placed under a growing light. Its growth is 0.25 inches per day. Which of the following equations represents this situation?
A- y=0.25x+6.5
B- y=6.5x+0.25
C- y= -0.25x+6.5
D- y= - 6.5x+0.25

Answers

Answer: the answer would be a-y=0.25x+6.5



Tony is spending money at a constant rate. Suppose he initially has $1000, and after 4 months, he has $760,

Which of these expresses the rate at which Tony's amount of money is changing?

Answers

Answer:

$60 monthly

Step-by-step explanation:

Step one:

The initial amount that Tony has= $1000

final amount =$760

amount spent= 1000-760= $240

time taken is 4 months

Step two:

Required:

the rate of spending

we know that rate= quantity/time

rate= 240/4

rate= $60 per month

Hence Tony's amount is changing at $60 monthly

Answer: -60

Step-by-step explanation:

Need help, quick, if anyone can, thank you in advance.​

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Trust me I even used an algebra calculator.

Simplify(-3)(-2)(-2) 1 point

Answers

Answer: -12

Step-by-step explanation:

First, multiply the numbers. -3 (-2) = 6 because a negative times a negative is a positive.

Then, multiply 6(-2) = -12 because a negative times a positive is a negative.

Therefore, the answer is -12.

8 more than the quotient of a number and 2 is 14. find the number

Answers

Answer:

x = 12

Step-by-step explanation:

x/2 + 8 = 14Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6Multiply both sides by 12 because it is the inverse operation of division. x = 12

The world's largest fruitcake was made by Dr.Fabrizio Sepe of Italy.It was 4,353kg.If each serving size was 200 grams.How many people could the fruitcake serve?

Answers

Answer:

i believe your answer would be 21,765

Step-by-step explanation:

since there are 1000 grams in a kilogram the equation would be 4353÷.200

19. Theodore purchased a vintage painting from an art dealer worth $480. The dealer noted that the value of the painting will increase by 12 percent per year. What is the growth factor of the
painting?
All changes
12
480
0.12
1.12

Answers

0.12 is the answer.

The growth factor of the painting is 0.12

What is percent?

"It is a ratio that can be expressed as a fraction of 100."

For given question,

The value of the painting will increase by 12 percent per year.

The 12% in decimal form,

[tex]=12\times \frac{1}{100}\\\\ =0.12[/tex]

So the growth factor of the painting is 0.12

Learn more about percentage here:

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(h)/(15)=(16)/(3) i need help- someone help please?

Answers

Answer:

h=80

Step-by-step explanation:

Hope this helps and have a great day :)

Answer:

H=80

Step-by-step explanation:

15 divided by 5 equals 3, so that means H divided by 5 equals 16. Flip it so your doing 16*5=80.

what is principal in simple intrest​

Answers

You have to pay extra money when you pay it back after you borrow it.So interest is: the amount of money you pay back on top of the original money you borrowed. The meaning of the word principal is: the original amount of money you borrowed.

A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?

Answers

Answer:-7^2(negitive seven to the second power)

Step-by-step explanation:

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.



What is the value of x?

40
50
100
160

Answers

Answer:

X=100

Step-by-step explanation

you gotta get to 180 so add that hunid

The value of x in the parallelogram described is: C. 100°

How do You Find Angles of a Parallelogram?

In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.

x degrees and 80 degrees are consecutive angles in the parallelogram described.

Therefore:

x + 80 = 180

x = 180 - 80

x = 100°

Therefore, the value of x in the parallelogram described is: C. 100°

Learn more about parallelogram on:

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x-intercept=? y-intercept=? What is the slope?​

Answers

Answer: x=1 y=-3

just look where the line touches mane

Is (2, 10) a solution to this system of inequalities? y 7 X 1 y > 4x + 2​

Answers

yes it is, 700 is greater than 10.

Help plzz Math honors algebra

Answers

The answer to the problem is N=6

Answer: n = 6. Hopefully this helps!

A plane is flying at 35,000 feet. it ascends 1,500 feet to avoid turbulence. it decends 3/5 of its new height to prepare for landing. what are the heights of the plane after it ascends and descends. (you need 2 answers)

Answers

Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet

Step-by-step explanation:

Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?
Edge 2020

Answers

Answer:C

1/1+cos(x)

Step-by-step explanation:

Simplifird form of the given trigonometric expression will be,

         [sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)

Simplification of a trigonometric expression:

Given expression in the question,

[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]

= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]

= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]

= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]

Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])

= [tex]\frac{1}{1+\text{cos}x}[/tex]        

          Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.

Learn more to simplify the trigonometric expressions here,

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pls help me with long division

Answers

86÷3 =

*The divisor is 3 and the dividend is 86

First step: How many 3's can fit into 8? (8÷3)

8÷3 = 2 r 2

Second step: add a 2 above the eight in the tens place of the answer.

86÷3 = 2_

Third step: multiply 3 x 2; 3 x 2 = 6;

In this step, we put a 6 underneath the 8.

Fourth step: Subtract.

In this step, we subtract 8-6 (=2)

Fifth step: bring down the next number. In this case, it is 6.

In this step, we now have the number 26.

Sixth step: How many 3's can fit into 26? (26÷3)

26÷3 = 8 r 2

Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.

I hope this was easy for you to understand!

Answer:

Step-by-step explanation:

  2  8 R2

3[tex]\sqrt{86[/tex]

-  6  

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

    26

-    24

-----------

     0  2

1
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?

Answers

Answer:

his remarkable mathematical flow continued without interruption – in fact, it increased.

Step-by-step explanation:

What is the equation of the line that passes through the points (-6,2) and (4,-3)

Answers

Answer:

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

                            (x,y) = (4,-3)

Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

=>  y-2 = -9x+54

=>  9x-y = 56

Into a mixed number btw. Marcos talks to his grandfather in Alabama for about 95 minutes per month about how long does her talk each day on average? (Hint: use 1 month=30 days)

Answers

Answer:

The answer is 3.16666667 its simple u just divide 95 by 30

Step-by-step explanation:

Answer:

3.06451613

Step-by-step explanation:

You divide 95 by 31 to get 3.06441613

Which equation is equivalent to the given equation?

7m + 11 = -4(2m + 3)

A. -m = = 1

B. -15 m = -23

C. -m = -1

D. 15m = -23

Please HELP

Answers

I’m pretty sure it’s D!!

three consecutive terms in a geometric sequence are r ,r+4, and r+6 in that order. Determine the value of r.​

Answers

9514 1404 393

Answer:

  r = -8

Step-by-step explanation:

The terms of a geometric sequence have a common ratio, so we have ...

  [tex]\dfrac{r+4}{r}=\dfrac{r+6}{r+4}\\\\1+\dfrac{4}{r}=1+\dfrac{2}{r+4}\\\\4(r+4)=2(r)\qquad\text{subtract 1, cross multiply}\\\\2r=-16\qquad\text{subtract $2r+16$}\\\\\boxed{r=-8}\qquad\text{divide by $2$}[/tex]

_____

Then the terms of the sequence are ...

  -8, -4, -2, ...

and the common ratio is 1/2.

Answer: r = -8

Step-by-step explanation:

A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 56 had a
mild allergic reaction. What percent of the people had a mild allergic reaction?

Answers

Answer:

0.8

Step-by-step explanation:

i believe it would be 56/7000 and you multiply your answer 0.008 by 100 so 0.8 had a mild reaction

Answer:

0.8%

Step-by-step explanation:

Think of it as a fraction: 56/7,000. To get a percent you want to simplify the denominator to 100. Then what you do to the denominator, you must do to the numerator, so simplify 56 by the number you simplified 7,000 to get to 100. Then you will have your answer of 0.8%.

Given that 3x – tan y = 4, what is dy/dx in terms of y?

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = 3 cos² y ⇒ B

Step-by-step explanation:

3x - tan(y) = 4

∵ The differentiation of tan(y) with respect to x is sec² y · dy/dx

∵ The differentiation of 3x with respect to x is 3

∵ the differentiation to 4 with respect to x is 0

∴ d/dx [3x - tan(y) = 4] is 3 - sec² y · dy/dx = 0

3 - sec²(y) · dy/dx = 0

→ Subtract 3 from both sides

∴ - sec² y · dy/dx = -3

→ Divide both sides by -1

∴ sec² y · dy/dx = 3

→ Divide both sides by sec²(x)

∴ [tex]\frac{dy}{dx}=\frac{3}{sec^{2}y}[/tex]

→ Remember [tex]\frac{1}{secy}[/tex] = cos y

∵ [tex]\frac{1}{sec^{2}y}[/tex] = cos² y

∴  [tex]\frac{3}{sec^{2}y}[/tex] = 3 cos² y

[tex]\frac{dy}{dx}[/tex] = 3 cos² y

dy/dx of 3x – tan y = 4 in terms of y is;

dy/dx = 3cos²y

We are given;

3x - tan y = 4

Let's differentiate in terms of y to get;

3 - sec²y(dy/dx) = 0

This is because the derivative of tan y in terms of y is sec²y(dy/dx).

Thus, using addition property of equality, we have;

3 = sec²y(dy/dx)

Now, in trigonometric ratios;

sec y = 1/cos y

Thus;

sec²y = 1/cos²y

Therefore;

3 = (1/cos²y) (dy/dx)

Thus;

dy/dx = 3cos²y

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Jason family donated 12 cases of soup for the schools food drive. Each case had four rows with six cans of soup in each row. how many cans of soup did Jason's family donate in all?

Answers

Answer:

288

Step-by-step explanation:

4*7=24

24*12=288

how Is this not 20 characters

what do you think was the porpuse of this advertisement?​

Answers

Answer:

The purpose of advertising is to inform the consumers about their product and convince customers that a company's services or products are the best, enhance the image of the company, point out and create a need for products or services, demonstrate new uses for established products, announce new products and programs.

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