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

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.

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

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

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

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

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

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.

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

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

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

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:

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

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

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)

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

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

I need help with all of them

Answers

Answer:

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

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:

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:

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

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)

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]

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.

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

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

Answers

Answer:

x=20,10

Step-by-step explanation:

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

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 )

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