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

Which number has 21 as a multiple? 2 6 7 11

Answers

Answer:

7

Step-by-step explanation:

7x3=21

Answer:

7

Step-by-step explanation:

21÷7=3

2x² + 3 × (-x²) + 6x + 2

Answers

Answer:

1x²+5 x 6x

Step-by-step explanation:

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

Answers

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

[tex](12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{234.25}\\c=15.30[/tex]

Hence,

Length of diagonal of picture = 15.30 inches

What is the measure of

Answers

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

how old am i? if my mother is 34 and she 21 years older then how old am i?∞

Answers

Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

Simplify
2x + x + x + 2y x 3yx y
Answer ?

Answers

Answer:

4x + 6y ...y cube

like y square y cube y3

Answer:

4x + 6y^3

Step-by-step explanation:

2x + x +x + 2y x 3y x y

4x + 6y^3

What is the length of segment AB?

A) 2
B)2.5
C) 5
D) 10

Answers

Answer:

10..................

What is the range of the graph?

Answers

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.

Answers

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

x
3
4
5
6

y
9
12
15
8

Answers

Answer: (x34, y912)

Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)

Answer:

x = 2, y = 6

Step-by-step explanation:

I'm assuming you're finding the pattern and then finding x and y, in which case it would be:

In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.

In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.

Dividing by the wrong number when finding the mean is a:
interpretation error.
data collection error.
measurement error.
sampling error.

Answers

Answer:

measurement error

Step-by-step explanation:

hope this helps

I really need help. I dont understand

Answers

Answer:

D

Step-by-step explanation:

Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these

Answers

Answer:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

General Formulas and Concepts:

Calculus

Discontinuities

Removable (Hole) Jump Infinite (Asymptote)

Integration

IntegralsDefinite IntegralsIntegration Constant CImproper Integrals

Step-by-step explanation:

Let's define our answer choices:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

B)  [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]

C)  [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

I also need to know
SAS
NOT SIMILAR
SSS
AA

Answers

Answer:

AA

Step-by-step explanation:

bggdjjydyjjydyjdjyfukufkuf

What is the image point of (-4, 8) after a translation right 3 units and down 3 units?

Answers

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

PLEASEEEEEEEEE HELP


Translate the phrase into an algebraic expression.
The product of b and 9

Answers

Answer:

b(9) also known as: b multiplied by 9

I am not 100% sure but I do agree with the first person's answer so feel free to give them brainliest. Hope I helped though! Have a wonderful day! :)

The algebraic expression for the given phrase is 9b.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given phrase is "The product of b and 9".

Now, the expression is b×9

= 9b

Therefore, the algebraic expression is 9b.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

which set of vaules could be the side lengths of a 30-60-90 triangle

Answers

Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.

Step-by-step explanation:

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

We have,

In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.

The side lengths of a 30-60-90 triangle have a specific ratio.

Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.

The ratios of the side lengths in a 30-60-90 triangle are as follows:

Shortest side: x

Side opposite 60-degree angle: y = x√3

Hypotenuse: z = 2x

Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.

The values must satisfy the above relationships.

Possible sets of values for the side lengths of a 30-60-90 triangle are:

Set 1:

x = 1

y = x√3 = √3

z = 2x = 2

Set 2:

x = 2

y = x√3 = 2√3

z = 2x = 4

Set 3:

x = 3

y = x√3 = 3√3

z = 2x = 6

Set 4:

x = k (where k is any positive constant)

y = x√3 = k√3

z = 2x = 2k

These sets of values satisfy the ratios for a 30-60-90 triangle.

Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.

So,

Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.

Thus,

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

Learn more about triangles here:

https://brainly.com/question/25950519

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What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?

Answers

Answer:

she was left with 28$ I'm in high school i think I'm right

Step-by-step explanation:

Choose Yes or No to tell if each statement is true.

A rhombus is a trapezoid.
Choose yes or no

A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no

A rectangle is also a rhombus.
Choose yes or no

A rectangle is also a parallelogram.
Choose yes or no

Please say yes or no for every answer.

Answers

Answer: No, No, No, Yes

Expressed answers As reduced fraction. Find the trig value.
Tan A=

Answers

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Opposite of m ∠ A = 40Adjacent of m ∠ A = 9

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1

Answers

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?

Answers

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.​

Answers

The answer would be 14 because you multiple

What’s -9/6 divided by -1/8

Answers

Answer:

-9/6 divided by -1/8 equals 12

Step-by-step explanation:

. A negative divided by a negative is a positive so... 9/6 divided by 1/8

. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8

. Reduce the fraction with 3 so... 3/2 times 8

. Reduce the numbers with the greatest common factor 2 so... 3 times 4

. Multiply the numbers so... 3 times 4 equals 12

How many Terminating Zeros are at the end of 631! when this number is multiplied out

Answers

Answer:

3 zeros

Step-by-step explanation:

When The factorial is the product of all integers that are less than or equal to n but that is greater than or equal to 1. so that The factorial value of 0 is by definition equal to 1. so that suppose that For negative integers, factorials are not defined. so we can do The factorial and can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

          Thus The factorial symbol is the exclamation mark !. like this

Using The factorial formula is  

        If n is a natural number greater than or equal to 1, then

             n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1

Learn more information:

https://brainly.com/question/15175651

Solve for Y .

-6y + 4x = 8

Answers

Answer:

y= -4/3 + 2x/3

Step-by-step explanation:

giving points and brainly

Answers

Answer:

A 159.25 to the second power

Step-by-step explanation:

he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Can you please help? :)​

Answers

Answer:

okay I also have no idea why why r busy and see

Answer:

i'm gonna say the answer is 16cm

Step-by-step explanation:

12/6 = 2

8/16 = 2

If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.

Answers

Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

Step-by-step explanation:

Given: One station plays every 12 minutes the other every 8 minutes.

The minimum time at which both stations have commercials  = lcm (12 and 8 )

12 = 2 x 2 x 3

8 = 2 x 2 x 2

LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24

The minimum time at which both stations have commercials  = 24 minutes

If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

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