The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.



y = 3.4x + 43



According to the model, how many pizzas will be sold nightly if 15 coupons are issued?



Enter your answer in the box.

# of pizzas_____

Answer: its b

Step-by-step explanation:

The system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively. which is the correct option (C).

The slope of a line is defined as the gradient of the line.

Given that line M passes through the points (-3, -3) and (6, 0).

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -3, y₁ = -3

x₂ = 6, y₂ = 0

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - (-3) = (0 - (-3))/(6-(-3) )[x -(-3))

⇒ y + 3 = 3/9(x + 3)

⇒ y + 3 = 1/3(x + 3)

⇒ 3y + 9 = (x + 3)

⇒ x - 3y = 6

Given that line N passes through the points (-3, -25) and (6, 20).

⇒ y - (-25) = (20 - (-25))/(6-(-3) )[x -(-3))

⇒ y + 25 = 45/9(x + 3)

⇒ y + 25 = 5(x + 3)

⇒ y + 25 = 5x + 15

⇒ 5x - y = 10

Therefore, the system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively.

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Answer:

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Step-by-step explanation:

Variables:

P₁ = number of hours in process 1

P₂ = number of hours in process 2

P₁ yields 3 ounces of perfume

P₂ yields 5 ounces of perfume

both are sold at $5 per ounce

15P₁ + 25P₂

labor usage:

(1P₁ + 2P₂) x $3

3P₁ + 6P₂

chemicals usage:

(2P₁ + 3P₂) x $2

4P₁ + 6P₂

Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂

so we need to maximize 8P₁ + 13P₂

the constraints are:

3P₁ + 6P₂ ≤ 20,000

4P₁ + 6P₂ ≤ 35,000

P₁, P₂ ≥ 0

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Answer:

yes

Step-by-step explanation:

also nice woody pfp :D

Answer: C

Step-by-step explanation: y = 2x + 1, x + 3y = 10 in these two equations you can put y = 2x + 1 in 3y in x + 3y = 10 so it would be x + 3(2x + 1) = 10,

x + 6x + 3 = 10, 7x = 7 so x = 1 and when we put the value of x in y = 2x + 1, it would be y = 2(1) + 1 so y = 3. difference would be 3 - 1 = 2 so it is C

Answer:

22 and 0

Step-by-step explanation:

Answer:

that looks tough

Step-by-step explanation:

msybi

Answer:

decimal way 5.5

Step-by-step explanation:

fraction way 5 1/2

Answer: (3x+2)(x+4)

Step-by-step explanation:Explanation:

3x2+10x−8

first multiply

3

with −8

and we get −24

then find two numbers that if we add or subtract we get

+10

and if we multiply we get

−24

and the numbers are

+12

and

−2

then we place those numbers as follow :-

3x2+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

Answer:

17

Step-by-step explanation:

use PEMDAS but it’s 17

Answer:

Simplifying

12 + -1[2 + 6 + (10 + -23)] = 0

Step-by-step explanation:

Answer:

[tex]0.09 < 0.1[/tex]

Step-by-step explanation:

Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.

Hope this helps.

Answer:

La repuesta es 6/5.

Step-by-step explanation:

6-4x=6x-8+2

-2               -2

4-4x=6x-8

+8         +8

12-4x=6x

  +4x   +4x

12=10x

÷10  ÷10

12/10=x

6/5=x

Answer:

area=length*width

32/width=length

The expression to find the side length of the fabric is,

⇒ Side length = √32

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of a square piece of fabric = 32 square feet

Now,

Since, We know that;

⇒ Area of square = Side²

Substitute the value of area of square piece of fabric in above equation, we get;

Side² = 32

Take square root both side, we get;

Side = √ 32

Thus, The expression to find the side length of the fabric is,

⇒ Side length = √32

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Answer:

C

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (-5, -2) and (4, 5).

First, let’s determine the slope of the line. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-5, -2) be (x₁, y₁) and let (4, 5) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{5-(-2)}{4-(-5)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{5+2}{4+5}=\frac{7}{9}[/tex]

So, our slope is 7/9.

Now, we can use the point-slope form to determine the rest of the equation:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/9 for m.

For consistency, we will also let (x₁, y₁) be (-5, -2). Hence:

[tex]\displaystyle y-(-2)=\frac{7}{9}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y+2=\frac{7}{9}(x+5})[/tex]

Distribute:

[tex]\displaystyle y+2=\frac{7}{9}x+\frac{35}{9}[/tex]

Subtract 2 from both sides. Note that 2 is equivalent to 18/9. Hence:

[tex]\displaystyle y=\frac{7}{9}x+\frac{35}{9}-\frac{18}{9}[/tex]

Simplify:

[tex]\displaystyle y=\frac{7}{9}x+\frac{17}{9}[/tex]

Therefore, our answer is C.

Answer: B

Step-by-step explanation: Big Brain

Answer:

Step-by-step explanation:

Your correct lets say it was at 30 degrees, it would be in 4 hours so the unit rate is 15/2, the same with number 6 it would be 366 miles in 6 hours so the unit rate is 183/3

Answer:

3x^2+8x−35

Step-by-step explanation:

sry if this is wrong

Answer:

B. 2f

Step-by-step explanation:

give brainliest please :)

Answer:

the answer is a because since it’s $2 each and there’s f amount of bags, you would multiply to get the total cost so that means its B

Step-by-step explanation:

Answer:

12x+4x

Step-by-step explanation:

Answer:

$4.93 cents so round it to $5.00

Step-by-step explanation:

Answer:

266,250$

Step-by-step explanation:

Answer:

200+25n=1650

n=58

Step-by-step explanation:

200+25n=1650

25n=1450

n=58

The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.

Let's consider n be the number of people going on the tour.

Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;

200+25n ≥1650

To solve for n;

200+25n=1650

25n=1450

n=58

Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

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Answer:

3 : 10

Step-by-step explanation:

most simplified form

The ratio of the number of parrots to the total number of birds will be equal to 3:10.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the provided information in the question,

Total canaries in the store = 7

Total parrots in the store = 3

Then, total number of birds in the store = 7 + 3 = 10

So, the ratio of number of parrots to the total number of birds will be,

3 : 10

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Answer:

i think its A

Step-by-step explanation:

Answer:

Any real number between the two numbers such as -2.99, -2.5, -2.01, basically anything between the two.

Step-by-step explanation:

Answer:

70% is approximately the answer

Step-by-step explanation:

135 x 2 = 270

310 - 270 = 40

35 out of 40 is 7/8.

The answer should be approx 70, I can not make sure.