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

The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes. How large of a sample size would you need to estimate the mean number of minutes people spend answering and sending emails with an error of 1 minutes with 99% confidence? What would be the practical problem with attempting to find this confidence interval?

Answers

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

a snail crawls 3/4 inches in 1/5 of a minute how long will it take the snail to crawl 1/2 in?

Answers

Answer:

15/4

Step-by-step explanation:

Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.

3/4 divided by 1/5

3/4 times 5/1 (multiply reciprocal)

=15/4

I havent done this in a while so im not entirely sure.

To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:

Answers

Answer: [tex](0.1481323,\ 0.2018677)[/tex]

Step-by-step explanation:

The confidence interval for population proportion :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical  z-value.

Let p = population proportion of successes.

Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]

Critical z value for 95% confidence = 1.96

The 95% confidence interval for a population proportion is:

[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]

Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x

Answers

Answer:

y=6x+3

Step-by-step explanation:

Matt received change totaling 1.85 in nickels,dimes, and quarters. He recieved at least one coin of each type. What is the least number of coins he could of recieved

Answers

Answer:

6 quarters 2 dime 3 nickels

Step-by-step explanation:

4x + 5y = -30
slope intercept form

Answers

Answer:Y=4/5x-6







Explanation:

Slope intercept form of the equation 4x + 5y = - 30 is written as,

⇒ y = - 4/5x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 4x + 5y = - 30

Now, We know that;

Slope intercept form of the equation is,

⇒ y = mx + c

Here, The equation is,

⇒ 4x + 5y = - 30

Subtract 4x both side,

⇒ 4x + 5y - 4x = - 30 - 4x

⇒ 5y = - 4x - 30

Divide by 5 both side, we get;

⇒ y = - 4/5x - 6

Hence, The Slope intercept form of the equation is,

⇒ y = - 4/5x - 6

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Please help me with all thank you I’ll mark Brainly please number answers

Answers

Step-by-step explanation:

...........................

Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?

???​

Answers

1 cup is 8 ounce
24/8 = 3 cup

2n²-6n+5 for n=-3 pls help me

Answers

Answer:

41

Step-by-step explanation:

2n²-6n+5

2(-3)²-6(-3)+5

2(9)+18+5

18+18+5

36+5

41

Change 10/25 to a decimal

Answers

Answer:

0.4

Step-by-step explanation:

→ Convert fraction to a denominator of 100

10 / 25 ⇔ 40 / 100

Answer:

0.4

Step-by-step explanation:

An easy way to do this is to get the fraction over 100

So, multiply the fraction by 4 (because 25*4=100)

then you get 40/100 which is 0.4 in decimal form

The altitude of Death Valley, California, is 282 feet below sea level. A hot air balloon is launched from the bottom of Death Valley and rises at a rate of 10 feet per second. After 12 seconds, the balloon captain lowers the balloon 15 feet. What is the altitude of the hot air balloon after being lowered?

Answers

The altitude is 177 feet below sea level after being lowered.

The balloon rises 120 feet after 12 seconds and then is dropped 15 feet. So 120 - 15 = 105. And 282 - 105 = 177

Use the diagram to find the length. PB is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
 Given BD = 16 and PC = 10, find PB.
PB =

Answers

Answer:

6 units

Step-by-step explanation:

BC = BD/2 = 8

PB² + 8² = 10²

PB² = 100 - 64 = 36 ⇒ PB = 6 units

The length of PB = 6 units

Here, PB is the perpendicular bisector of AC and QC is the perpendicular bisector of BD.

AB = BC = CD

Given that BD = 16 and PC = 10

What is Pythagoras theorem?

Pythagoras theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square of the hypotenuse.

Here, BD = 16 and AB = BC = CD

⇒ BC = BD/2 = 16/2 = 8

And, PC = 10

Now using Pythagoras theorem:

[tex]PC^{2} =PB^{2} + BC^{2}[/tex]

[tex]10^{2} =PB^{2} + 8^{2}[/tex]

[tex]PB^{2} + 64 = 100\\PB^{2} = 100 - 64\\PB^{2} = 36\\PB = \sqrt{36}\\PB = 6[/tex]

Hence the length of PB = 6 Units

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Does the ratio 4/7 to 8/9 has a unit rate of 9/14

Answers

Answer:

true

Step-by-step explanation:

4/7 = 8/9

= 4*9/7*8

= 36/56

= 2*2*3*3/2*2*2*7

= 9/14

proved

Sam computed a 95% confidence interval for μ from a specific random sample. His confidence interval was 10.1 < μ < 12.2. He claims that the probability that μ is in this interval is 0.95. What is wrong with his claim?
A) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0.95 or 0.05.
B) A probability can not be assigned to the event of μ falling in this interval.
C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
D) The probability that μ is in this interval is 0.05.

Answers

Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.

Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.

A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.

So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).

Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.

Arianna is deciding between two different movie streaming sites to subscribe to. Plan A costs $32 per month plus $1 per movie watched. Plan B costs $7 per month plus $2 per movie watched. Let AA represent the monthly cost of Plan A if Arianna watches xx per month, and let BB represent the monthly cost of Plan B if Arianna watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine the number of monthly movies watched, x,x, that would make the two plans have an equal monthly cost.

Answers

Answer:

25 movies

Step-by-step explanation:

First, create the monthly costs for both plans:

Plan A:

A = x + 32

Plan B:

B = 2x + 7

Set these two expressions equal to each other, and solve for x:

x + 32 = 2x + 7

32 = x + 7

25 = x

So, the two plans will have an equal monthly cost after 25 movies.

Answer:

25 movies watched

Step-by-step explanation:

Where x is movies watched

AA = 1x + 32

BB = 2x + 7

15x + 10 - 6 PLEASE HELP ME SOLVE THIS PLEASE SHOW WORK TO? THANK YOU

Answers

This is how you do it

Can someone Please help with this problem,please help me ASAP !!!l

Answers

Answer:

I'd say B bcs it's the only thing that would fit with the shift on x axis and y axis

what dose 3, 3 in the table indicate??? plzzz helppppp ​

Answers

Step-by-step explanation:

it indicates f(x) and g(x)

Answer:

3,3 is a placment in a graph

Step-by-step explanation:

A store manager created this table representing the relationship between the reported number of snow days during a given month, x, and the sales revenue of bags of rock salt, y, rounded to the nearest dollar.

Using the linear best-fit model for the data, what is the predicted sales revenue of rock salt given there were 11 snow days in the month?

$773.00
$1,374.00
$1,457.00
$1,474.00

Number of snow days

Rock salt sales revenue
2 $823.00
1 $725.00
3 $943.00
5 $1,086.00
4 $997.00
3 $951.00
7 $1,163.00
6 $1,098.00

Answers

Answer:

1374.00

Step-by-step explanation:

I just took the test

oh this is for k12 students by the way

Which represents a unit rate the cost of cat food $36 per 3 bag, the cost of orange juice is $3 per jug, the cost of photocopies is $1 per 10 pages, the cost of roses is $50 per dozen

Answers

Answer:

Its definitely 23$ is equally into 33$ and if its add it will be €23 and then you will add some randomly number and plus it to 23 and 13 is the answer thank me later

$1.00 to 2/3 gallon
2
10 points
A caterer needs to buy 21 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much is the cost per
pound?

Answers

Answer:

$1.5/pound

Step-by-step explanation:

Number of pounds  = 8pounds

Cost of pasta = $12

Now;

  Unknown:

           cost per pound of pasta

Solution:

To find the cost per pound of pasta;

 Cost per pound of pasta  = [tex]\frac{cost of pasta}{number of pasta}[/tex]  

  Cost per pound of pasta = [tex]\frac{12}{8}[/tex]   = $1.5/pound

Help me please thanks :)

Answers

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

How many ?!!!!
?!!!
?!!

Answers

15

hope this helps you alot☺✌❤

i need to learncmy 9 year old how to multiply ​

Answers

Answer:

Step-by-step explanation:

get them some multiplication charts and use some examples like oreos or any type of cookies.

Please help me thank you.

Answers

Answer:

-4+2

Step-by-step explanation:

The equation of the line would be: y = 1

Each square and figure DNE has a side length of one unit compare the area of the two figures which figure has more area how much more explain or show your reasoning

Answers

Answer:

✅Figure E has more area

✅Figure E has 5.14 units² much more than Figure D.

Step-by-step explanation:

The logic to solving this kind of problem is to decompose and each of the figure to find out how many squares and circles are there in each figure, them calculate the area of each figure using the formula for area of square and area of a circle.

✍️Figure D:

Figure D is composed of 2 squares and 4 semicircles (2 full circles).

Since side length of 1 square = 1 unit, therefore, radius of the semi-circle/circle = 1 unit.

Area of the 2 squares = 2(s²) = 2(1²) = 2 unit²

Area of the 2 full circles = 2(πr²) = 2(3.14*1²) = 6.28 unit²

Area of Figure D = 2 + 6.28 = 8.28 unit²

✍️Figure E:

Figure E is composed of 4 squares and 6 quarter circles (3 full circles).

Area of the 4 squares = 4(s²) = 4(1²) = 4 unit²

Area of the 3 full circles = 3(πr²) = 3(3.14*1²) = 9.42 units²

Area of figure E = 4 + 9.42 = 13.42 unit²

✅Therefore, we can conclude that Figure E has more area.

✅Figure E has 5.14 unit² more area than Figure D (13.42 - 8.28 = 5.14).


[tex](a) { - (b)}^{2} [/tex]

Answers

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function
p() = 45 +35x, where x represents the time, in hours, that the plumber used to complete the job.
Mr. Barnes budgeted $220 to pay the plumber for the job.
After how many hours will the cost of the job exceed Mr. Barnes's budget?

Answers

Answer:

After 5 hours

Step-by-step explanation:

Given

[tex]p(x) = 45 + 35x[/tex]

Required

Determine what time the budget would exceed $220

To do this, we simply substitute 220 for p(x)

[tex]220 = 45 + 35x[/tex]

[tex]220 - 45 = 35x[/tex]

[tex]175= 35x[/tex]

Solve for x

[tex]x = 175/35[/tex]

[tex]x = 5[/tex]

So, Mr. Barnes would exceed his budget after 5 hours

15% of 24% of $3500 is $___?

Answers

Answer:

126

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

24% of 3500=840

15% of 840=126

Expressions equivalent to z+(z+6)

Answers

Answer:

2z+6

Step-by-step explanation:

Answer:

z+ (z+6) =2 (z+3)

Step-by-step explanation:

the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)

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