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

victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trandafiri, ar plati 47 de lei. daca ar cumpara doar trandafiri, toti banii i-ar ajunge pentru 12 bucati. insa el cumpara 13 flori (garoafe si trandafiri) si ramane cu 5 lei rest, cate garoafe si cati trandafiri a cumparat victor?

Answers

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

what is 323 dived by 48?

Answers

323/48=6.73

Hope this helps!!

What do you get if you cross an insect with the easter rabbit? (Need the geometry answers)

Answers

Answer:

zda dht5646788975432

Step-by-step explanation:

3) Artemis has 6 boards cut in various lengths as shown. She wants to use 3 of them to frame
a triangular window in her new clubhouse. How many unique triangles can Artemis make with
the lengths she has? *
3 ft
3 ft
5 ft
5 ft
8 ft
8 ft
3 Triangles
4 Triangles
5 Triangles
6 Triangles

Answers

Answer:

It's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

Step-by-step explanation:

Considering how many answers there are, there's a 1/4 chance for it to be any. Concluding by that it's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

What is mArc SU?

49°
77°
98°
161°

Answers

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

What is Tangent?

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

What is secant ?

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

#SPJ2

Find the value of x in the triangle.
A right triangle has one angle with a measure of 54 degrees and the other angle measure of x degrees.
A. 126°
B. 234°
C. 36°
D. 144°

Answers

If it’s a right angle, then take 180 and subtract 90 and 54 from it. Whatever number you get it angle x.

Answer:

Agreed, the answer is 36

Step-by-step explanation:

Subtract 180-90=90-54=

36

There's your answer.

classify and degree 2x+7​

Answers

Answer:

Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Step-by-step explanation:

Kan buys 35pound of mixed nuts for $ 3.50. At this rate, how many pounds of mixed nuts can he buys for $15?

Answers

Answer:

i think its 150 pounds if i wrong im super sorry

Step-by-step explanation:

On a recent day,8euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros. The equation is y=? NEED HELP!!!! Hey

Answers

On a recent day, 8 euros were worth $11 and 40 euros were worth $55. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. First solve k which is the slope so k = ( 55- 11) / ( 40 -8) = 1.375
Y= 1.375x

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

8 euro= $1132 euro= $44

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

Ryan keeps his loose change in a milk jug. The jug contains 15 pennies, 10 nickels, 35
dimes, and 20 quarters. If Ryan shakes out one coin, what is the percent probability the
coin will NOT be a dime?

Answers

56% chance it won’t be a dime

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

I don't see any answer choices to choose from

Answer:

there is not options to answer

Step-by-step explanation:

Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?

Answers

3,100= 1,900 +84x

right since 84 months in 7 years

so 14.3% right?

8. By using coupons, Mary Jo is able to decrease the retail price of her groceries, g, by $125. you find the nroduct of the base and height and then divide by 2. Expression. ​

Answers

Answer:

is there more to it? if not i dont understand what they are asking.

Step-by-step explanation:

can anyone help? i rlly need help !

Answers

They cross each other at (5,2)
answer: 5,2 because they cross over eachother

Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices
could he eat in half of an hour?

Answers

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

What is the Linear equation in one variable?

The Linear equation in one variable is an algebraic equation of degree one.

it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

Takaya can eat three slices of pizza in five minutes.

for half an hour it would be 6 times five minutes.

So, in half an hour Takaya can eat 3 × 6 = 18

Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

Learn more about Linear equations in one variable here:

https://brainly.com/question/2501033

Can someone help me with this

Answers

C.

Volume of a cylinder is pi times radius squared times height.

this is too much for me
if you know please answer

Answers

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

Suppose a car gas tank holds 21 gallons of gas. On a trip it uses 2/3 of a tank of gas on a trip. Then it uses 1/3 of what is left in the tank. How many gallons of gas are left in the tank? If u can could u show the work?

Answers

9514 1404 393

Answer:

  2/9 tank

Step-by-step explanation:

After the first trip, 1 -2/3 = 1/3 of the tank remains.

After the second trip, 1 -1/3 = 2/3 of that remains.

After both trips, (1/3 tank)(2/3) = 2/9 tank remains.

A student runs 7 km in 2 hours to train for sports. What is the student’s average speed?

Answers

Answer:

Step-by-step explanation:

For every hour said student would've ran 3.5 km/hr

7/2=3.5 kilometers per hour or 3 1/2 kilometers per hour

A figure has side lengths as marked in the diagram.
What is the area of the figure?

Answers

Answer:

132.4

Step-by-step explanation:

can someone help me? 8th grade math

Answers

9514 1404 393

Answer:

  a. 5^-3

  b. 14^18

  c. 8^9

  d. 16^3

  e. 21^-18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

a) 5^(3-6) = 5^-3

b) 14^(3·6) = 14^18

c) 8^(3+6) = 8^9

d) 16^(6-3) = 16^3

e) 21^(3(-6)) = 21^-18

12 POINT HURRY HURYRJXNXNDJDJDNDN

Answers

Answer:

The fourth choice, Pink, is the correct answer.

Step-by-step explanation:

The first two options intersect, therefore the intersection is the solution. The third set of lines may seem like one line, however since we are dealing with two linear equations, it can be presumed that those are two lines on top of one another, therefore it has infinite solutions. The last option remaining is Pink, in which the lines are parallel and therefore will never intersect, making them have no solution.

A butcher has 15 and 3/4 pounds of steaks and portions them into 7 sealed packs. How many pounds does each pack of steak weigh? *

Answers

Answer:

9/4 or 2 and 1/4 pounds

Step-by-step explanation:

Convert 15 and 3/4 into an improper fraction

15*4+3 = 63

63/4

63/4 ÷ 7

9/4

Thus, each pack weighs 9/4 pounds

Answer:

2 1/4 pounds each

Step-by-step explanation:

Convert 15 1/4 into a decimal (15.75) then divide by seven (15.75 ÷ 7 = 2.25)

and then convert 2.25 back into a fraction, 25 is 1/4 of 100 so the answer is 2 1/4

The temperature in Minneapolis was
-9°F. The next day, the temperature was warmer than -9'F
Write an inequality which is true only for temperatures t that are warmer than -9°F
HELP ME !!

Answers

-9°F < t
Should be it

Answer:

x>-9F

Step-by-step explanation:

x is all possible temperatures greater than -9F

Hurry!!!
Review
Bookmark
Wright,
Unit Assessment (MC) / 10 of 13
Gam wants to determine which football team is the most popular at a game between the home team and the visiting
team. Which of the following methods will give him the most accurate results?
A surveying people wearing hats for the visiting team
OB surveying the cheerleaders for the home team
Exhibits
Csurveying people who do not live in the home team's city
OD surveying a group of people standing in line for tickets

Answers

Answer:

best person always get best position


Enter the value of x.

Answers

10 is the answer because using the Pythagorean theorem 6^2 + 8^2 = 100. The square root of 100 would be 10
8^2+6^2= x^2

64+36=100

Once you get X^2 you have to square root it. The square root of 100 is 10.

X=10

What is the awnser to pie
A. 3.14195
B. 4.0238
C. 5.3843
D. 6.2322

Answers

Answer:

A

Step-by-step explanation:

Write the equation below in standard form
y = 2/3 x + 5.

Answers

this is ur answer i hope u do well good luck:

Answer:

2x-3y=-15

Step-by-step explanation:

The quotient x of and 3

Answers

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is x3

If the question says Quotient of x and 3 minus 8 then you can write it as x3-8

[tex]\large\sf\red{thank \: you}[/tex]

what is -2 to the 8th power

Answers

Answer:

-256

Step-by-step explanation:

Put a negative next to 2^8 and you'll get your answer.

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