m = 5.71 + 0.25n
j = 4.66 + 0.60n
In the equations above, m and j represent
the price per gallon of milk and orange juice,
respectively, n months after December 31, 2018.
What was the price per gallon of milk when it was
equal to the price per gallon of orange juice?
A) $5.96
B) $6.21
C) $6.46
D) $6.71

Answers

Answer 1

Answer:

C) $6.46

Step-by-step explanation:

Equations

The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:

m = 5.71 + 0.25n

j = 4.66 + 0.60n

Where n is the number of months after December 31, 2018.

It's required to find the value of n when both prices are equal:

4.66 + 0.60n = 5.71 + 0.25n

Subtracting 0.25n:

4.66 + 0.60n - 0.25n = 5.71

Subtracting 4.66:

0.60n - 0.25n = 5.71 - 4.66

Operating:

0.35n = 1.05

n = 1.05/0.35

n = 3

The price per gallon of milk for n=3:

m = 5.71 + 0.25*3

m = 5.71 + 0.75

m = $6.46


Related Questions

The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117

Answers

Step-by-step explanation:

(12) in base 8

= (1 * 8¹ + 2 * 8⁰) in base 10

= (8 + 2) in base 10

= 10 in base 10.

(117) in base 8

= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10

= (64 + 8 + 7) in base 10

= 79 in base 10.

Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

What is octal numeral system?

Octal numeral system has "a base of 8 and uses the number from 0 to 7".

According to the question,

a) (12)₈

          = (1 * 8¹ + 2 * 8⁰)₁₀

          = (8 + 2)₁₀

          = 10₁₀.

b) (117)₈

        = (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀

        = (64 + 8 + 7)₁₀

        = (79)₁₀

Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

Learn more about octal numeral system here

https://brainly.com/question/10944785

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Mikayla downloaded 64
pictures from the cloud to her laptop.
These pictures took up 192 megabytes
of space on her laptop. Each picture
took up the same amount of space.
How many megabytes do 25
of these pictures take up?

Answers

Answer:

25 pictures will take up 75 Megabytes of space.

Step-by-step explanation:

Given that:

Number of pictures downloaded = 64

Space taken by pictures = 192 MBs

Unit rate = [tex]\frac{192}{64}[/tex]

Unit rate = 3 Megabytes per picture

Now,

The space 25 pictures would take,

25 pictures = 3*25

25 pictures = 75 Megabytes

Hence,

25 pictures will take up 75 Megabytes of space.

Compare each side of the equation 56 ÷ 4 = 45 ÷ 3 to determine if it is true or false. (2 points)
True
False

Answers

56/4=14
45/3=15
14 does not equal 15
False
The Correct answer is false


Please someone help me if your good at math I’m struggling here:/I’ll mark brainliest


A.$4/1 lb

B.$8/2 lb

C.1 lb/$4

D.$1/4 lb

Answers

Answer:the until prince is 4/1

Step-by-step explanation:

The graph is proportional since it’s a straight line through origin and the rate is 4/1 on the bottom

Sorry if I’m wrong

1). To make suet you need fat to flour in the ratio 1:3. Jane has 120 g of flour.

Answers

Answer:

you need 40 g of fat

Step-by-step explanation:

:) hope this helps

Joel ordered a set of beads. ​He received 40 40 beads, and 60 % 60% of them were blue and 40 % 40% of them are green. ​ ​How many blue beads did Joel receive?

Answers

Answer:

24 blue beads

Step-by-step explanation:

The number of blue beads is calculated as:

Percentage of blue beads × Total number of beads

Total number of beads = 40 beads

Hence:

= 60% × Total number of beads

= 60% × 40

= 60/100 × 40

= 24 blue beads

Joel received 24 blue beads.

What is the GCF of 6 and 36

Answers

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

To learn more about greatest common factor click :

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Simplify the following expression:
4x - (+3x)

Answers

Answer:

Step-by-step explanation:

1x

Hope it helped you

Answer: x!

Step-by-step explanation:

The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?

Answers

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

need help on this please

Answers

the answer to that question is 15.51
the answer would be 15.51

х²+хy-2y²=0
ху+x-y=1​

Answers

Answer:

I think if you use the differentiate formula then it will work

Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer, a little geometry, and a tangent line to determine the that and . The two students form a central angle of 85.9º with the center of the earth. Given this information determine how far each student is away from the moon.

Answers

Answer:

MB= 239627

MA= 239327

Radius= 3963

Step-by-step explanation:

What is 1 3/8 as an improper fraction ?

Answers

Answer: 11/8

Step-by-step explanation:

1. Multiply the whole number by the denominator: 8•1=8

2. Add the numerator to the sum of the whole number and denominator: 8+3=11

3. Put the original denominator as the denominator, again: 11/8

hope this helps a bit lol

Convert 0.6 to a fraction to a percent and show a example how​

Answers

Answer:

6/10   |    60%

Step-by-step explanation:

0.6 is the same as 6/10 because it is six-tenths.

6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.

Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0

Answers

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3

plz help !!!!!!!!!!!!

Answers

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29

HURRY PLEASE ANSWER!

Answers

Answer:

[tex]\mathbf{\beta=140\ dB}[/tex]

Step-by-step explanation:

The Logarithm Function

The sound level is usually calculated as a logarithm by the formula:

[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]

Where

I   = Sound intensity in W/square meter

Io = Smallest sound intensity that can be heard.

[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]

The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:

[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]

[tex]\displaystyle \beta=10*14[/tex]

[tex]\mathbf{\beta=140\ dB}[/tex]

Need help FAST!!!! I need to find the value of x and y with work

Answers

Step-by-step explanation:

Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...

Step Two: Take equation b) from equation a) to eliminate the x component. ...

Step Three: substitute the value of y into either equation to find the value of x.

Step-by-step explanation:

I think x equals 125. The reason is because a triangle is 180 and if you take 180 out of a 55 you will get a 125. The y will equal 55.

The number of calories burned y after x minutes of kayaking is represented by the linear function y=4.5x. The graph shows the calories burned by hiking.

Answers

There is no graph can you show one so I can help?

I can answer is ez probably

Answer:

22.5 more calories are burned

Hiking:

y=255

kayak

y=202.5

Help please! Thanks.​

Answers

Answer:

[tex]4(x-5)>8[/tex]

Step-by-step explanation:

what is the base price for the cell phone plan, regardless of how many minutes are included? What is the cost per minute? Explain

Answers

Answer:

how

Step-by-step explanation:

what about you

In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is five and a half percent of the selling price. The salesperson will earn $27.23 by selling a couch for $495 to Lin and her dad.

Answers

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

Determine the value for x

Answers

Answer:

option 2) is correct

angle a and angle x are supplementary angles

so x=180-140

x=40°

Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.

Answers

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories


If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?

Answers

hope it will help you..........

HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS

Answers

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

Which is a possible turning point for the continuous function f(x)?

Answers

Answer:

We are given coordinates of a continuous function f(x)

(–2, 0)

(0, –2)

(2, –1)

(4, 0).

We need to find the possible turning point for the continuous function.

Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.

A turning point is always lowest or highest point of the curve (where bump of the graph seen).

For the given coordinates we can see that  (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.

But the coordinate  (0, –2) is the lowest point on the graph.

Therefore, (0, –2) is the turning point for the continuous function given.

hoped this was helpful!

How to find a linear scale factor of two similar shapes joined together.

Answers

Answer:

7.5cm

Step-by-step explanation:

the method is shown above

The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?

Answers

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

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