How many ways can six slices of pepperoni pizza and three slices of cheese pizza be divided among five students if one of the students is a vegetarian?

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Answer:

C: about 10 Hours

Step-by-step explanation:

i was on the assignment and i got C correct  

The missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

Let the line of best fit is:

y = mx + c

The missing points are:

(7, 11), and (9, 9.8)

The correlation will be negative.

The line of best fit is shown in the picture.

Thus, the missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.

Learn more about the line of best fit here:

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Answer:

$5,030.40

Step-by-step explanation:

The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:

First month

Due amount = $6,000

Interest at 2% = $6,000*2% = $120

Loan repayment = $600

Reduction in balance = $600 - $120 = $480

Balance remaining = $6,000 - $480 = $5,520

Second month

Due amount = $5,520

Interest at 2% = $5,520*2% = $110.4

Loan repayment = $600

Reduction in balance = $600 - $110.4 = $489.60

Balance remaining = $5,520 - $489.60 = $5030.40

Hence, the balance outstanding at the end of month 2 is $5,030.40

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

Step-by-step explanation:

its the simplest form.........

Answer:

You can not reduce it further only in decimals

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3

Answer:

(-1,-2, -3, -4)

Step-by-step explanation:

-15 < 3n <6

-15 < 3 (-1,-2, -3, -4) <6

3 • -1 = -3

3 • -2 = -6

3 • -3= - 9

3 • -4 = -12

so all these answer still make -15 the lowest value and 6 the highest value.

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

Answer:

Part A  The 4th bubble y= -55x+1630

Part B 1630

Part C 55

Step-by-step explanation:

Part A Use slope to find answer. In this example, points (1,599) and (4,1430).

Next use equation y1-y2/x1-x2. In this example, 1599-1430/1-4  which equals 169/-3 and that equals -56.3333333333333333333333.  Since y= -55x+1630 is closer, choose that answer.

Part B use y intercept. The y intercept is 1630

Part C Use the slope -55. It decreases by 55.

Step-by-step explanation:

Just take two random points, always remember ,take x=0 and find his correspondent y

in this case y=4*0-9=-9

first point (0,-9)

second one:

take any x you want, I took 2 randomly, and y will be

y=4*2-9=8-9=-1

second point is (2,-1)

find these points on graph and connect them with a ruler ! And that is the line you are searching for!

We want to graph the line y = 4*x - 9.

The graph can be seen at the end of the answer.

To graph a given linear function, we need to find two points that belong to the function, and then connect them with a line.

To find the points we just evaluate the function in two different values of x, so let's do that.

For x = 0 we have:

y = 4*0 - 9 = -9

Then we have the point (0, -9)

For x = 1 we have:

y = 4*1 - 9 = 4 - 9 = -5

Then we have the point (1, -5)

Now we just can graph these two points on a coordinate axis, and connect them with a line.

The graph is shown below

If you want to learn more, you can read:

https://brainly.com/question/18196858

Answer:

-871

Step-by-step explanation:

Equation: -16x - 7

54th term: -16(54) - 7 = -864 - 7 = -871

The number line shows that Kailey could have graphed the point C (3.3).

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

Plot the number line with the given limits: -5 to 5. See the attached image.

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

Read more about opposite numbers here:

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Step-by-step explanation:

I dont know the answer exactly but to find the greatest common factor you have to find out like the numbers that go into the timetable your talking about like e.g a factor of 18 would be 6,3,2 etc. once you have done that between both of them then you have to find the same numbers between them. and that's the answer. hope it helped I'm not exactly good at explaining

Answer:

50/2.80= 17

17 dounuts

Answer:

the graph is of a cubic function.

Step-by-step explanation:

f(x)= x^3. It should have at least one zero

The graph shows cubic polynomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Given:

In the graph the number of times the graph touches the x- axis it will have that many zeroes or solution for the polynomial.

The given graph touches the x-axis three times which shows the polynomial will have three solution and the degree of the polynomial is 3.

Hence, the graph shows cubic polynomial.

Learn more about cubic polynomial here:

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Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Answer:

WAT! What diagram???

Step-by-step explanation:

Answer: No, because the center pod is where the medians meet

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

Answer:

What are we supposed to simplify? 8/81?

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

slope is 9/10

y-intercept is 1

Answer:

If they're asking you to round, I'll choose D just because 25.28 is 25.3 rounded to the nearest tenth.

Step-by-step explanation:

79/x=100/32

(79/x)*x=(100/32)*x       - we multiply both sides of the equation by x

79=3.125*x       - we divide both sides of the equation by (3.125) to get x

79/3.125=x

25.28=x

x=25.28

Answer:

6120

Step-by-step explanation:

i)

15/100 × 7200

=1080 ( the amount of discount based on the marked prize )

ii) 7200-1080=6120

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!