5.Given the functions f(x)=-2x + 4 and g(x) = 2x- 8, find the value of x for which f(x) = g(x).

6.Graph the function

If the **functions **f(x) and g(x) are **equal**, then the value of x is 3

The definition of the **functions **f(x) and g(x)** **are given as

f(x) = -2x + 4

g(x) = 2x - 8

The question states that:

The values of the **functions** are equal

This implies that we set the **functions **f(x) and g(x) equal to one another

This is represented as

f(x) = g(x)

Next, we substitute the **equations **of the above functions in f(x) = g(x)

So, we have the following **equation**

-2x + 4 = 2x - 8

Collect the like terms

So, we have

2x + 2x = 8 + 4

Evaluate the like terms in the above equation

So, we have

4x = 12

Divide both sides of the **equation **by 4

x = 3

We calculate the value of x to be 3

This means that the **value **of x if the **functions **have the same value** **is 3

Recall that:

f(x) = -2x + 4

g(x) = 2x - 8

So, we plot the **graphs **of the **functions**

See attachment for the graph of the **functions**

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3⁴-21÷7 use pemdas. to solve this

3⁴-21÷7

According to PEMDAS ( order of operations):

First, Do exponents before multiplying or dividing: 3^4

81-21÷7

Then, divide before subtracting (27÷7 )

81- 3

Finally, subtract

78

Current Attempt in Progress

In a list of 15 households, 9 own homes and 6 do not own homes. Four households are randomly selected from these 15 households.

Find the probability that the number of households in these 4 who own homes is exactly 4.

Round your answer to four decimal places.

The most appropriate choice for** probability** will be given by:

**Probability** that the number of households in these 4 who own homes is exactly 4 = [tex]\frac{42}{455}[/tex]

**What is Probability?**

**Probability** of an event is the chance of occurance of that event.

**Probability** can be obtained by Number of favourable outcomes divided by the total number of outcomes

**Probability** varies from 0 to 1.

Here,

Total number of households = 15

No of households to be selected = 4

4 households can be selected from 15 households in [tex]15 \choose 4[/tex] ways

= [tex]\frac{15!}{(15-4)! \times 4!}\\[/tex]

= [tex]\frac{15!}{11! \times 4!}[/tex]

[tex]=\frac{15 \times 14 \times 13 \times 12}{1 \times 2 \times 3 \times 4}[/tex]

= [tex]1365[/tex] ways

Now,

Number of households who own homes = 9

4 households can be chosen from 9 households in [tex]9 \choose 4[/tex] ways

[tex]\frac{9!}{(9-4)! \times 4!}\\[/tex]

= [tex]\frac{9!}{5! \times 4!}[/tex]

[tex]=\frac{9 \times 8 \times 7 \times 6}{1 \times 2 \times 3 \times 4}[/tex]

= [tex]126[/tex]

Probability that the number of households in these 4 who own homes is exactly 4 = [tex]\frac{126}{1365}[/tex]

= [tex]\frac{42}{455}[/tex]

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5/6x-5/12x-1/3+1/4x+1/12

(8x-3)/12

**Step-by-step explanation:**

In May, Jacalyn opens a savings account with an initial balance of $200 and deposits about the same amount each month. write a linear equation in slope intercept form

The linear equation in slope **intercept** form is y = 200x + 200

where *y* represents the amount in the savings account of Jacalyn at the end of *x* months beginning from May.

In the slope intercept form, slope (the numerical coefficient of variable *x*) is having a numerical value of 200 and vertical intercept is the constant of term of the equation i.e. 200. The positive value of slope indicates that the gradient of straight line representing this linear equation is positive. Positive value of vertical intercept indicates that the linear equation's graph plot shall not pass through the origin but will intercept the *y*-axis at 200.

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please can an expert help me

The **Range** of the given **function graph** is gotten as; Option D: (-4, -1, 0, 1, 2)

How to find the range of a function graph?

The** range **of a function is defined as a set of all **possible output values **for which a function is said to hold.

Now, when it comes to a **function graph**, we can easily say that the range of the function of the graph will be the set of possible values along the y-axis. That is all **possible y-values.**

Now, in the given graph, we are given 5 coordinates and the y values at each of these coordinates would represent the **range** of the graph. Thus;

Range = (-4, -1, 0, 1, 2)

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Please help I’ll mark you as brainliest if correct!!

**Answer:**

it would be 29 five

**Step-by-step explanation:**

I can't do the small number so it's just typed big

2 X (6+ 2 + 8) -4 show your work pls

Answer:

Step-by-step explanation:

32

Bill is 6 years older than Tom. Three years ago bulls age was four times toms age. Find the age of each boy now

**Answer:**

Tom is currently 5 and Bill is currently 11

**Step-by-step explanation:**

Let b = Bill's current age

Let t = Tom's current age

We have 2 unknowns so we need to equations to solve for this.

b = t + 6

(b-3) = 4(t-3) We have to subtract 3 from both Tom and Bill's current age

b- 3 = 4t - 12 Distribute the 4 and then substitute in t + 6 for b.

t + 6 -3 = 4t -12 Combine like terms

t + 3 = 4t -12 Subtract t from both sides of the equation

3 = 3t - 12 Add 12 to both sides of the equation

15 = 3t Divide both sides by 3

5 = t Tom is 5. Since Bill is 6 years old, her is 11.

Check:

11 = 5+ 6

Three years ago, Tom would have been 2 and Bill would have been 8. Bill is four times older than Tom. 2x4 = 8.

3. Grace is thinking of a number. She states that

free times the number increased by six is

twenty-four

Which choice can be used to find

(1) 3(2-6) = 24

(3)3-6=24

(4) 3m +6 = 24

9x2=18+6=2

X

The choice that can be used to find the **expression **(three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.

So, three times the number increased by six is twenty-four:

The equation can be: 3x + 6 = 24Which is similar to the option (C) that is 3m + 6 = 24.Therefore, the choice that can be used to find the **expression **(three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.

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**The correct question is given below:**

Grace is thinking of a number. She states that three times the number increased by six is twenty-four. Which choice can be used to find

(A) 3(2-6) = 24

(B)3-6=24

(C) 3m + 6 = 24

(D) 9x2=18+6=2

PLEASEEE HELP ( ALOT OF POINTS)

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Greg bought a regular-sized box of his favorite cereal. A regular-sized box contains 12 servings.

Part A: If Greg eats 1 1/2 servings for breakfast every day, how many breakfasts can Greg eat from 1 box? Show all work.

Part B: The regular-sized box of cereal costs $4.29. How much does 1 breakfast from a regular-sized box of cereal cost Greg? Round to the nearest hundredth. Show all work.

Part C: If Greg purchased the family-sized box of cereal that contains 18 servings, how many more breakfasts could Greg eat from 1 box? Show all work.

The number of **breakfast** Greg can eat from a box of cereal if he eats 1 1/2 servings for breakfast **everyday** is 8 breakfast.

Number of breakfast Greg can eat in a regular-sized box = A regular-sized box of cereal / servings of breakfast eaten everyday

= 12 ÷ 1 1/2

= 12 ÷ 3/2

multiply by the= 12 × 2/3

= 24/3

= 8 breakfast

Cost of regular-sized box of cereal = $4.29.

Cost of one breakfast from a regular-sized box of cereal = **Cost** of regular-sized box of cereal ÷ Number of breakfast Greg can eat in a box

= $4.29 / 8

= 0.53625

Approximately,

$0.54 per breakfast

If GregNumber of breakfast Greg can eat in a family-sized box = A family-sized box of cereal / servings of breakfast eaten everyday

= 18 servings / 1 1/2

= 18 ÷ 3/2

= 18 × 2/3

= 36/3

= 12 servings

Therefore, the number of more servings of breakfasts Greg could eat from 1 **family-sized** box

= Number of breakfast Greg can eat in a family-sized box - Number of breakfast Greg can eat in a regular-sized box

= 12 servings - 8 servings

= 4 servings

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**Answer:**

= 4 servings

**Step-by-step explanation:**

Francis heard that a car stereo system was on sale for 30% off. If the sale price was 57.75, what was the original price of the stereo?

82.50

We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much 100% is.

We use the formula of the direct rule of 3 to give us

x = 82.5

The original price of the stereo was $82.50!

We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much 100% is.

We use the formula of the direct rule of 3 to give us

x = 82.5

The original price of the stereo was $82.50!

**Answer:**

$82.50

**Step-by-step explanation:**

82.5 times 0.7 = 57.75

doing 57.75 + 30% wouldn't work, so you have to increase the number (original price) being discounted until you get 57.75

also, the '0.7' is 70% which also means '30% off' because you took 30% away from the original price that was 100%

math calculator saves the day? dont use paper or it would take a long time (unless it was a test or teacher said no)

if a=4 b=6 and c=10 what is the volume of the three prisms above

Because the **prisms **are stacked onto one another, they have a total **volume **of 320 cubic units

The possible question is added at the end of the **solution **and as an attachment

From the attached figure, we have the following parameters

Shape 1: Cube of dimension aShape 2: A cuboid of dimension a, a and bShape 2: A cuboid of dimension a, a and cThe **volume **of a **prism** is the prodict of its **dimensions**

This means that

Cube = Length^2

Cuboid = Base area * Height

So, we have the following equations

Shape 1 = a^3

Shape 2 =a^2b

Shape 3 =a^2c

Substitute the known values in the above equation

So, we have

Shape 1 = a^3 = 4^3 = 64

Shape 2 =a^2b = 4^2 * 6 = 96

Shape 3 =a^2c = 4^2 * 10 = 160

Add the above values

Prism volume =64 + 96 + 160

Evaluate the sum

So, we have

Prism volume = 320

Hence, the **volume **of the **three prisms** is 320 cubic units

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HELP!! The table compares the average daily temperature and ice cream sales each day.

Temperature (°F) Ice Cream Sales

58.2 $112

64.2 $135

64.3 $138

66.8 $146

68.4 $166

71.6 $180

72.7 $188

76.2 $199

77.8. $220

82.8 $280

What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)

4.2

6.5

8.1

9.1

The **slope** of line of** best fit **is 6.47887 which is approximately 6.5.

A **line of best fit** is a straight line that minimizes the **distance** between it and some data. The line of best fit is used to express a relationship in a **scatter plot** of different data points. It is an output of **regression analysis** and can be used as a prediction tool for indicators and price movements.

To calculate the **slope** of the equation, we need to solve for some parameters.

The **equation** of **regression** is given as

[tex]y = bX + a[/tex]

let's solve for the unknown parameters b and a.

[tex]b = \frac{SP}{SS_x}=\frac{3176.2}{490.24} = 6.47887 = 6.5[/tex]

The **slope** of the **line of best fit** is given as 6.5.

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**Answer: 6.5**

**Step-by-step explanation: i took the test**

math problem uploaded

From the graph provided, it can be seen that:

There is a maximum at (6,1)

Therefore, the answer is the following:

The function has a relative maximum of 1 at x = 6

HELP IF U CAN ILL GIVE BRAINLIESt AND 20 POINTS SHOW UR WORKK!!!!

**Answer:**

9

**Step-by-step explanation:**

→ Multiply by every value to see

735 - ( 24.99 × 9 ) = 510.09

∴ He has to add money in the 9th month otherwise he will be charged

**Answer:**

9

**Step-by-step explanation:**

24.99 x 9 = 224.91

735 - 224.91 = 510.09

Which recursive sequence would produce the sequence 2, -11, 54, ...

**Answer:**

[tex]n_{i+1} = -5n_i - 1[/tex]

**Step-by-step explanation:**

-5*2 - 1 = -11

-5*-11 - 1 = 54

Graph both lines and plot the point of intersection of the system. -x+y=1 and 2x+y=10

The **point **of** intersection** of the system of equations is (3, 4) and this is plotted in the **graph** shown below.

In Mathematics, a **point **of** intersection** can be defined as the location on a **graph** where two (2) lines **intersect**, meet, or cross each other, which is typically represented as an ordered pair containing the point, **x-axis **and** y-axis**.

A **graph** can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the **x-axis **and** y-axis**.

In conclusion, the coordinate (3, 4) is the **point **of** intersection** of the given system of equations.

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Can someone please help meeeee, I have 2 hours remaining

The number of mosquitoes will be increased by **5 inches **of rain.

Maximum **mosquito **population = **25000**

We are given the following in the question:

**M(x) = 10x - x²**

where M(x) denotes the number of mosquitos in millions and x denotes the amount of rainfall in inches.

To begin, we **differentiate M(x)** with respect to x, yielding

**d(M(x)) /dx = d(10x - x²) /dx = 10 -2x**

When we set the first derivative to zero, we get

d(M(x)) /dx = 0

10 - 2x = 0

**x = 5**

We get the same result when we **differentiate M(x) **with respect to x:

d²(M(x)) / dx² = -2

d²(M(x)) / dx² < 0

As a result of the double differentiation test, the maxima for M(x) occur at **x = 5**.

when the rainfall is **5 inches**, the most mosquitoes are present.

**Maximum mosquito population:**

**M(5) = 10(5) - (5)² = 25**

As a result, the maximum number of mosquitos is **25000.**

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Given a series discount of 20/10/10/20 what is the net cost equivalent?

The net cost equivalent is the price the customer pays after deducting all the discounts. To find the net cost equivalent given an amount **n **of discounts, we use the following formula

Where **d** is the discount written as a decimal.

In our problem, we have a series discount of 20/10/10/20, therefore, the net cost equivalent is

[tex]\begin{gathered} N=(1-0.20)(1-0.10)(1-0.10)(1-0.20) \\ =(0.8)(0.9)(0.9)(0.8) \\ =0.5184 \end{gathered}[/tex]After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases

4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals

for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is

$85. What is the cost of each item?

The cost of a **t-shirt** is $25, the **cap** costs $20 and the stuffed **animal** costs $15

Let t-shirts be represented by x, the cap is represented by y and stuffed animals are represented by z

Items purchased by **family**:

4 t-shirts + 1 cap + 1 stuffed animal

The total cost of the items was = $135

Equation: 4x+y+z=135--------(1)

Items purchased by **couple** 1:

2 t-shirts + 1 cap + 3 stuffed animals

The total cost of the items was = $115

Equation: 2x+y+3z=115------(2)

Items **purchased** by couple 2:

2 t-shirts + 1 cap + 1 stuffed animals = $85

Equation: 2x+y+z=85------(3)

Subtracting equation (3) from (2) we get:

2z = 30

z = 15

Substituting the value of z=15 in equations (1) and (3) we get the following equations:

4x+y+15=135

4x+y=120------(4)

And, 2x+y+15=85

2x+y=70-------(5)

Multiplying equation (5) with 2 and subtracting equation (4) we get:

4x+2y=140

4x+y=120

y = 20

So, x = 25

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select

and test 54 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3

batteries do not meet specifications. A shipment contains 4000 batteries, and 3% of them do not meet specifications.

What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will

many be rejected?

The probability that this whole shipment will be accepted is

(Round to four decimal places as needed.)

The company will accept % of the shipments and will reject% of the shipments, so

(Round to two decimal places as needed.)

This **probability** of shipment being accepted is 84%.

And most similar deliveries will be allowed since the likelihood of receiving a sample with much more than three damaged batteries is extremely low.

If at least three batteries fail to satisfy standards, the delivery would be approved.

This may be described as a **binomial distribution**, with n = 54 samples as well as a p = 0.03 **probability** of not satisfying the parameters of any battery.

If n ≤ 3 the package will be accepted.

The probability of this event is:

P(D ≤ 3) = P(D = 0) + P(D = 1) + P(D = 2) + P(D = 3)

P(D = k) = (n! ÷ (k!(n-k)!)) × [tex]p^{k}[/tex] × [tex](1 - p)^{n - k}[/tex]

P(D = 0) = (54! ÷ (0!(54)!)) × [tex]0.03^{0}[/tex] × [tex](0.97)^{54}[/tex]

P(D = 0) = 1 × 1 × 0.110

P(D = 0) = 0.110

P(D = 1) = (54! ÷ (1!(53)!)) × [tex]0.03^{1}[/tex] × [tex](0.97)^{53}[/tex]

P(D = 1) = 54 × 0.03 × 0.205

P(D = 1) = 0.3321

P(D = 2) = (54! ÷ (2!(52)!)) × [tex]0.03^{2}[/tex] × [tex](0.97)^{52}[/tex]

P(D = 2) = 1431 × 0.0009 × 0.205

P(D = 2) = 0.264

P(D = 3) = (54! ÷ (3!(51)!)) × [tex]0.03^{3}[/tex] × [tex](0.97)^{51}[/tex]

P(D = 3) = 24804 × 0.000027 × 0.211

P(D = 3) = 0.141

Then,

P(D ≤ 3) = P(D = 0) + P(D = 1) + P(D = 2) + P(D = 3)

P(D ≤ 3) = 0.110 + 0.3321 + 0.264 + 0.141

P(D ≤ 3) = 0.8471

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An angle measures 108° more than the measure of its supplementary angle. What is the

measure of each angle?

The measure of each **angle **are **36**° and **144**°

**What is Supplementary angle?**

Two angles are said to be **supplementary **if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always **supplementary**. But two angles don't have to be close to one another to be **supplementary**. In the following image, 3 and 4 are **supplementary **since their sums equal 180 degrees.

Let the provided angle be x, the **supplementary **angle be y.

y = x + 108 since x has 108° greater than y.

The total of the additional angles is 180°.

x + y = 180,

x + x + 108 = 180,

and x = 180 - 108.

2x = 72

x = 72/2

x = 36

Then,

y = x + 108

y = 36 + 108

y = 144

Consequently, the angles are 36° and 144°.

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monroe's teacher wants each students to draw a sketch of the longest specimen which specimen is the longest

The most appropriate choice for **tabular data** will be given by-

Specimen B is the longest and its size is 0.011 cm. So Monroe's teacher wants each student to draw the sketch of Specimen B

**What is tabular data?**

Data given in the form of **rows** and** columns** is known as** tabular data.**

Here,

Size of specimen A = 0.008 cm

Size of specimen B = 0.011 cm

Size of specimen C = 0.0025 cm

Size of specimen D = 0.004 cm

Size of the longest specimen = 0.011 cm

Specimen B is the longest and its size is 0.011 cm. So Monroe's teacher wants each student to draw the sketch of Specimen B

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**Complete Question**

The table has been attached

Specimen Actual length(cm) Size seen under microscope (cm)

A 0.008

B 0.011

C 0 .0025

D 0.0040

Suppose you earn 2% on $1000 for 2 years if this interest rate is doubled then the interest rate will be

When earn 2% on $1000 for 2 years if this interest rate is doubled then the **interest rate** will be 4% and the **interest** is $80.

From the information, the person earns 2% on $1000 for 2 years and this interest rate is doubled, the **interest rate** will be: = 2% × 2 = 4%

It should be noted that simple interest is calculated as:

Interest = **Principal** × Rate × Time / 100

Interest = 1000 × 4 × 2 /100

Interest = 8000 / 100

**Interest** = $80

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how do you factor 12b-30

The **factored expression **of the expression given as 12b - 30 is 6(2b - 5)

**Expressions **are mathematical statements that are represented by variables, coefficients and operators

The **expression **is given as

12b - 30

Factor out the **common factor **from the expression

So, we have

12b - 30 = 3 * 4b - 3 * 10

Factor out 3 from the **expression**

So, we have

12b - 30 = 3(4b - 10)

Factor out 3 from the **expression**

So, we have

12b - 30 = 6(2b - 5)

The expression above cannot be further **simplified**

This means that the **expression **has been completely **factored **and cannot be further factored

Hence, the equivalent expression of the **expression **given as 12b - 30 when it is **factored **by grouping is 6(2b - 5)

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4. Write a comparison statement for 9 x 3 = 27

Given the following expression:

[tex]\text{ 9 x 3 = 27}[/tex]Making a comparison statement out of this will be: **27 is 3 times more than 9**.

hahahaha pls ur such a lose u dont ven no 9*3=27 isnt it so reasy

Which statement is the most appropriate comparison of the spreads?A. The standard deviation for town A, 20", is greater than thestandard deviation for town B, 10°.B. The interquartile ranges (IQRs) for towns A and B are both 20°.C. The interquartile range (IQR) for town A, 30°, is less than the IQRfor town B, 46".D. The interquartile range (IQR) for town A, 20", is greater than theIQR for town B, 10".

We are given two box plots of a variable, for two different towns. Recall that the structure of a box plot is

where Q1 is the 25th percentile (or quartile 1), Q2 is the median and Q3 is the 75th percentile (or Quartile 3). This type of graphs tells us how the data is distributed, and more specially it can tell us how the data is spread across the different values the variable could take. So the way to analyze the spread from the graph is by considering the **inter quartile range (IQR). **This amount can be calculated by simply finding the difference between Q3 and Q1. If this range is really small, this would mean that the data is less spread and if this range is big, then this would mean that the data is more spread.

Using the given box plots, we can determine the following:

**Town A:** Q3 = 40, Q1 = 20, IQR = 40-20=20

**Town B: **Q3 = 45, Q1=35, IQR = 45-35 = 10

So, this would lead to option D.

I am z years old, and my brother is 6 years younger than I am. How old will I be in 10 years? How old will my brother be in 10 years?

**Answer:**

In ten year you will be 10 years older than you are now and so will your brother. The 6 years difference will remain if no one dies.

**Step-by-step explanation:**

You are z years old

Your brother is 6 years younger than z years; z - 6 years

In 10 years time, you will be z + 10 years

Your brother will be z - 6 years + 10 years = z + 4 years

OR

In 10 years time, you will be z + 10 years

You brother is still 6 years younger than you, so is z + 10 years - 6 years = z + 4 years

Solving systems of inequalities

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

y < 6x + 9 eq. 1

Step 02:

systems of inequalities

y > 6x + 7 eq. 1

<9

Graph

y = 6x + 9 eq. 2

Unlimited/Infinite solutions

**The answer is:**

(-4 , 32)

(3 , 25)

Number 12 I don’t get it y’all know ?

i’m pretty sure you would just divide the total discount overall by the number of months in a year which is 12. So, -216/12=-18 so the discount price would be $18 per month which is why they used a negative sign because that’s how much is being taken off.

The points A, B and C are 3 corners of a rectangle. What are the coordinates of D, the 4th corner?PLEASE HELP URGENTLY WILL MSRK BRAINLIEST! :D
How many extra flowers did they order?
Isabelle's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Isabelle fills 24 equal sized jars with honey. She brings a total of 16 cups of honey to sell at the farmers' market. Use an equation to find the amount of honey each jar holds. To write a fraction, use a slash ( / ) to separate the numerator and denominator. cups
help please !!!!!!!!!!!!.
the degree to which equipment, space, or the workforce is currently being used, and is measured as the ratio of average output rate to maximum capacity (expressed in percent.)
You bike 14 1/4miles from your house to a state park. You travel 1/3of thatdistance in the woods. You bike along the bank of a stream for the last 1/2ofthe woods. On how many miles of your trip do you bike along the bank ofthe stream?
Published Sentences: Research suggests that people exercise less when demands in their job or studies increase (Englert & Rummel, 2016; Oaten & Cheng, 2005; Sonnentag & Jelden, 2009). Building upon these findings, the present study investigated the relationship between university students' implicit theories about willpower and the amount they exercise during their final examination period. We hypothesized and found that students with a limited theory about willpower-those who believed that their self-control resembles a limited resource-exercised significantly less than students with a nonlimited theory during this stressful period (about 220min less over the course of 2 weeks).
Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)A. LN is a segment bisectorB. LN is an angle bisectorC. L is the vertex of a pair of congruent angles in the diagramD. N is the vertex of a pair of congruent angles in the diagramE. L is the vertex of a right angleF. N is the vertex of a right angle
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24 in the ratio 1:2:3
There are 28 students in a class.16 of the students are girls.What proportion are boys?Write your answer in two ways.
Based on this letter, what is King's view of the proper response of a wise person to a corrupt world?
(Figure 1) is the potential-energy diagram for a 500 gparticle that is released from rest at A. What is the particles speed at B?
Which graph Represents a function
Based on properties of elements in the periodic table, which element is the best conductor of thermal energy?A. argon(Ar)B. germanium (Ge)C. polonium(Po)D. vanadium(V)
Should you use the flash above why or why not
Three forces act on a moving object. One force has a magnitude of 84.4 N and is directed due north. Another has a magnitude of 42.7 Nand is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues tomove with a constant velocity? Express your answer as a positive angle south of east.
Which of the following would be the best way to describe the US government's approach todealing with Native Americans on the frontier in the years following the Civil War?A. negotiations, in which the aim was to share land peacefully with the tribes that had livedthere for generationsB. compensation, in which the US government paid tribal leaders whatever amount ofmoney the two sides agreed the land was worthC. barter, in which Native Americans surrendered land in exchange for citizenship rights andthe guarantee of being given land for families to own and farmD. conquest, in which the United States used its military to take land previously occupied byNative Americans and relocate tribes to areas designated by the US government
the beam supports a uniform dead load of 0.4k/ft, a live load of 1.5k/ft and a single live concentrated force of 8k. determine (a) the maximum positive moment at c and (b) the maximum positive vertical reaction at b. assume a is a roller and b is a pin.
distance in space is often written using a lightyear. A lightyear is the distance light travels in one year. It is equal to 6,000,000,000,000 miles. Write this measurement in scientific notation. PLS HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!! >_