12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?

Answers

Answer 1

Answer:

96 = x

Step-by-step explanation:

I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.

Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.

The unit price (cents per ounce) of the 12-oz can is x/12

The unit price of the 16-oz can is (x + 16)/16

The unit price of the 24-oz can is (x + 84)/24

You are told that, in terms of x,

(x + 84)/24 = x/12 - 0.5

Multiply both sides by 24:

x + 84 = 2x - 12

Solve for x:

96 = x

So the unit prices (in cents per ounce) are:

12 oz: 96/12 = 8 cents/oz

16 oz: 112/16 = 7 cents/oz

24 oz: 180/24 = 7.5 cents/oz

So the 16 ounce can is the best buy based on lowest unit price.

Answer 2

In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:

[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]

Some values ​​should be simplified as they were informed in the statement:

The unit price (cents per ounce) of the 12-oz can is x/12The unit price of the 16-oz can is (x + 16)/16The unit price of the 24-oz can is (x + 84)/24

So putting together an equation with these values ​​and terms informed we find that:

[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]

So with the value of X found it is only necessary to use the previous equations and replace this value.

See more about finances at brainly.com/question/10024737


Related Questions

Hiiiooo!! Can someone please help me ❤️❤️❤️

Answers

Answer:

8

Step-by-step explanation:

40 ÷ 5 = 8

56 ÷ 7 = 8

so then just divide 64 by the one we know, which is 8

64 ÷ 8 = 8

what is the opposite of -20?

Answers

Answer:

its 20

Step-by-step explanation:

find the product of (2y - 1) and (4y² + 2y + 1).

help.​

Answers

Answer:

8y^3 - 1

I have made it in above picture

Answer:

         8y³ - 1

Step-by-step explanation:

   (2y - 1) × (4y² + 2y + 1) =

= 2y×4y² - 1×4y² + 2y×2y - 1×2y + 2y×1 - 1×1 =

        = 8y³ - 4y² + 4y² - 2y + 2y - 1 =

            = 8y³ - 1

Given a
rectangle of area 18x2 - 42x, the length is 6x, determine the width. HELP

Answers

Rectangle area = length * width
18x^2-42x=6x*width
Width = (18x^2-42x)/6x
Width = 3x-7

Let’s make sure
Area = length * width
Area = 6x * (3x-7)
Area = 18x^2 -42x which is true
That mean width = 3x-7

A regular heptagon has a side of approximately 6.0 yd and an apothem of approximately 6.2 yd.
Find the area of the heptagon.

Answers

Answer:

130.2 yd²

Step-by-step explanation:

Area of polygon using the length of the side, s, the apothem, a, and the number of sides, n.

A = san/2

A = (6.0 yd)(6.2 yd)(7)/2

A = 130.2 yd²

solve for angle x and the length of line segments AO and BO

Answers

64 degrees? I think..

Answer:

Angle X is 140°.

All four angles = 360, so 90+90+40=220 and 360-220=140

(Still finding length)

The sum or three consecutive odd numbers is 51. Find the numbers​

Answers

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

x+4=19

help me please. Translate the description below as an algebraic expression:

half the quotient of p and 11 ​

Answers

Answer:

try this

Step-by-step explanation:

1/2 (p/11)

slash is the dividing sign

Answer:

( p ÷ 11) ÷ 2

Or

1/2 (p ÷ 11)

Step-by-step explanation:

Half the quotient of p and 11

"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half

Find the value of x. in the below given diagram.

Answers

Answer:5,8

Step-by-step explanation:

x^2= 3^2 + 5^2

x^2= 9 + 25

x^2= 34

x = (square root)34

x= 5,8

Answer:

x = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

x = [tex]\sqrt{34}[/tex] ← exact value

x ≈ 5.83 ( to 2 dec. places )

A person walks 13 mile in 19 hour.
The person's speed is ____ miles per

Answers

Answer:

0.68

Step-by-step explanation:

miles=13

hour=19

Now,

Speed=Velocity/Time Taken

=13/19

=0.6842miles/hour

area of a circle with a diameter of 4cm

Answers

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

4πd2=1

4·π·42≈12.56637cm²

Answer:

area of a circle with a diameter of 4cm=π(d/2)²

=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²

ASAP! Please, Thank you.

Answers

Answer:

x\left(5-2\right)=4x-x ------> no solutions

14x-17-8x+2=12x+3-x-10 -----> unique solution

6\left(x-2\right)=6x-12 -------> no solutions

\frac{2}{3}x-\frac{7}{4}=\frac{4}{3}x-\frac{2}{3}\left(x+5\right) ------> infinite solutions

Step-by-step explanation:

t-8=14??? I’m literally annihilating✋

Answers

Answer:

t=22

Step-by-step explanation:

just add 8 on both sides

Plz help. I will mark Brainlyist

Answers

Step-by-step explanation:

A = -2/3, B = -1 /6, C = 1/2, D = 4/3

La un supermarket sau vandut intro zi 32kg de banane si 86kg de portocale incasanduse 536 lei a doua zi sau vandut 96 kg de banane si 52kg de portocale incasanduse 784 lei cati lei costa un kg de banane dar de portocala

Answers

Answer:

the banana cost per kg is 6 and for orange it is 4

Step-by-step explanation:

The computation is shown below:

Let us assume the banana be x

And, the oranges be y

Now according to the question

There would be two equations

32x + 86y = 536.......(1)

96x + 52y = 784.........(2)

Now multiply by 3 in equation 1

96x + 258y = 1,608

96x + 52y = 784

258y - 52y = 1608 - 784

206y = 824

y = 4

And, the x would be

32x + 86(4) = 536

32x + 344 = 536

x = 6

Hence, the banana cost per kg is 6 and for orange it is 4

Solve for 3x^2-10x+8=0
(SHOW YOUR WORK)QUICKLY

Answers

Answer:

Step-by-step explanation:

Step 1: Factor left side of equation.

(3x−4)(x−2)=0

Step 2: Set factors equal to 0.

3x−4=0 or  x−2=0

Answer:

x= 4 /3  or x=2

 

Answer:

5/3 +/- 1/3

or

x= 2

or

x= 1 /3

Step-by-step explanation:

plug all of the numbers into the formula attached,

the first coefficient is a, the second is b, and the last is c

So a=3 b=-10 and c=8

I need help with all of them

Answers

Answer:

Question 3: (D) All real numbers. Question 4: (B) y > 3.

Drive 288 miles on 16 gallons
of gas. ( help?)

Answers

The question you may be trying to ask is "A car can travel 288 miles on a full tank of gas. The gas tank holds 16 gallons. How many miles per gallon does the car get?"

Answer:

The car gets 18 gallons per mile.

288 / 16 = 18

Jeff and Marcia own a llama farm. On their farm, they have 240 llamas.

Each llama they sell earns them a $325.00 profit. If they were to sell 3/5 (three-fifths) of their
llamas, how much total profit would they make?

Show your work.

A. $31,200.00
B. $46,800.00
C. $62,400.00
D. $78,000.00

Answers

Answer:

$46,800

Step-by-step explanation:

3/5 of 240 is 144

144*325 is 46,800

Answer:

b3/5of240 is144thentimesby325.00

Ok can someone please help me? i really need help and no one will help me, its easy middle school math

Answers

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

Convierte los números decimales a fracciones decimales, comunes o números mixtos, según sea el caso​

Answers

Yo no ce cext la oscars du meilleur de tous les français a lot à 22

A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315.

Answers

Answer:

figure it out

Step-by-step explanation:

Answer:10 dollars and 50 cents

Step-by-step explanation:315 divided by 30

Can somebody help me with this please

Answers

Answer:

Y = 2x + 4

Step-by-step explanation:

As the question said the slope is 2, so you put 2 with x.

The point you are given is (1,6), so you backtrack to X = 0, and since the slope is 2 you subtract 2 from 6. now you're at (0,4), giving you 4.

Evaluate the following equation for x. 2/5x = −20

Answers

2/5x=-20
x=-50
Explanation:
Whenever you take the 2/5 and divide it from -20 you are left with x=-50. Therefore, the value for x is -50.

I don't understand this ​

Answers

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]

Help Please 5 Stars and brainliest

The results of a study exhibit response bias. Select the statement that best describes the bias in the study. *

OThere were not enough subjects who chose to respond to a survey that was sent as part of the study.
O The interviewer for the study was the boss of the subjects.
O The interviewer for the study did not record the responses of the subjects accurately.
O There was a significant amount of people who declined to participate in the study.​

Answers

Answer:

the last one

Answer:

the answer is c

Step-by-step explanation:

HELP PLEASE 50 POINTS!!!!!!!!!!!!!!!
Solve

y=-3x+13

y=-2x+1



Enter your answer as an ordered pair (x, y).

Answers

1) m= -3 (13/3,0)

2) m= -2 (1/2,0)

Solve for x by factoring: x^2-30x+200=0

Answers

Answer:

x=20,10

Step-by-step explanation:

Please help.
Algebra.

Answers

Answer:  m= -1/2

Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

Which expression represents the length of one of the playground's sides? 224 + StartFraction 32 over 3 EndFraction x 14 + two-thirds x 14 + StartFraction 8 over 3 EndFraction x 4 (56 + StartFraction 8 over 3 EndFraction x)

Answers

Answer:

B

Step-by-step explanation:

I did the assignment and got 100

Answer:

B. 14 + two-thirds x

Step-by-step explanation:

Other Questions
i really need help with this one 8 points? describe how we could create our own zero pair. What movie or book do you think best mirrors the French Revolution and its ending? Provide at least 3 examples from the movie or book that are similar to the French Revolution. Ruth is taking ASVAB exam. Match each question with the correct section.Arithmetic ReasoningElectronics InformationGeneral ScienceReset Next i need some help ill give a nice brainliest if u help what stores and delivers nutrients throughout the cell and transports waste to the cell membrane t/3 = 11 solve equation and check souloution what is t write a paragraph to describe what happens to a population with each type of natural selection. Pleasseee I rlly need to turn this in to bring up my grade. Solve the equation and enter the value of x below.X ++(-8) = 2X = 100 points for whoever answers this question. Which sentence provides the best clue to Kim's perspective on her father's death in Seedfolks?The candles and the incense sticks, lit the day before to mark his death anniversary, had burned out.After the evening feast, past midnight, I'd been wakened by my mother's crying.I had no such memories to cry over.All his life in Vietnam my father had been a farmer. There are 156 people taking a boating safety course. The ratio of adults to students is 9 to 4. How many adults are taking the course? Help! Please and thank you which expression is equivalent to the given expression? Easy question!!! Solve for x. Which of the following best represents pi for the circle below? Explain how spirogyra is also called green algae reproduces in water. what is the slope of (1,3) and (1,0) I just failed algebra for the third time someone help plsJust tell me what to do What is the value of the angle marked in red? Triangle PQR is similar to triangle KLM.L35 in.Q15 in.72 in.RM Mx in.What is the value of x in inches?A 7 in.B 148 in.C 92 in.168 in.