A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table:


Number of portions 5 3 8 6 1 4
Number of calories 250 150 400 300 50 200


What does the slope of the model represent?
The number of calories in each portion of fish sticks
The number of fish sticks in each portion
The original number of portions of fish sticks
The price of each portion of fish sticks

→ 6x = 48

→ x = 48/6

→ x = 8

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Answer:

In algebra, the operation of substitution can be applied in various contexts involving formal objects containing symbols; the operation consists of systematically replacing occurrences of some symbol by a given value. Substitution is a basic operation of computer algebra.

Step-by-step explanation:

Hope I helped!

The highest price per pizza in a profit of $100 is approximately $15.48

The profit equation is given by:

p = -5 [tex]x^2[/tex]  + 100x - 250

Substitute p = 100 and solve for "x":

100 = -5 [tex]x^2[/tex]+ 100x - 250

To solve this quadratic equation, it can be rearranged it to standard form [tex](ax^2 + bx + c = 0)[/tex]

[tex]5x^2- 100x + 350 = 0[/tex]

Now, we can solve the quadratic equation using the quadratic formula:

[tex]x = \dfrac{(-b\pm \sqrt ({b^2 - 4ac)}}{2a}[/tex]

In our equation, a = 5, b = -100, and c = 350. Substitute these values into the formula:

x =[tex]\frac{(\sqrt{(-100)^2 - 4 \times 5 \times 350}}{2\times5}[/tex]

x= [tex]\dfrac{{100 \pm\sqrt{3000}}}{10}[/tex]

Thus, the two possible solutions for "x":

[tex]x_1[/tex] =[tex]\dfrac{100 + \sqrt{3000}}{10}[/tex]

[tex]x_2[/tex] =[tex]\dfrac{100 - \sqrt{3000}}{10}[/tex]

Calculating the values:

[tex]x_1[/tex]≈ 15.48

[tex]x_2[/tex] ≈ 4.23

The highest price per pizza that results in a profit of $100 is approximately $15.48 (rounded to two decimal places).

Learn more about equations here:

https://brainly.com/question/14686792

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Answer:

1st part is 958

2nd part is 1024

Step-by-step explanation:

Answer:

a. 958 inches

b. 1024 inches

Step-by-step explanation:

a. The perimeter is 2(234+245) = 958 inches, by the formula of the perimeter of a rectangle.

b. This will increase the perimeter by 2 * 33 = 66 inches (because we're increasing in one dimension), so the answer is 958 + 66 = 1024 inches.

Answer:

19/24

Step-by-step explanation:

Answer:

[tex]\frac{-24p + 5}{30p}[/tex]

Step-by-step explanation:

Did you mean to add the terms.  You can only solve equations or inequalities and this is an expression.  Assuming you are to add the terms, then the lowest common denominator is 30p

So,  [tex]\frac{-2(10)}{3p(10)} + \frac{6p}{5(6p)} - \frac{30p}{30p} + \frac{5(5)}{6p(5)}[/tex]

=  [tex]\frac{-20 + 6p - 30p + 25}{30p}[/tex]

=  [tex]\frac{-24p + 5}{30p}[/tex]

Answer:

1/6p-4/5

Step-by-step explanation:i have khan and it is the right awnswer

Answer:

1

Step-by-step explanation:

its subtracting 5 every step, 11, 6, 1, -4, -9

Answer:

1

Step-by-step explanation:

It does substract 5 every single time so it's

11 , 6 , 1 , -4 , -9 , -14 , -19 and so on.

Answer:

What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.

Step-by-step explanation:

What is the perimeter 2x+3 as length and x-6 as width

P = 2L + 2W

P = 2(2x+3)+2(x-6)

P = 4x+6 + 2x - 12

P = 6x - 6

Answer:

[tex]perimeter = 2(l + b) \\ = 2(2x + 3 + x - 6) \\ = 4x + 6 + 2x - 12 \\ = 6x - 6[/tex]

Answer:

c + 0.07c and 1.07c

Step-by-step explanation:

the sales cost will be added to the retail cost

Answer:

D

Step-by-step explanation:

Answer:

y=-23

Let's solve your equation step-by-step:

6(y+6)=3y−33

Step 1: Simplify both sides of the equation

6(y+6)=3y−33

(6)(y)+(6)(6)=3y+−33(Distribute)

6y+36=3y+−33

6y+36=3y−33

Step 2: Subtract 3y from both sides

6y+36−3y=3y−33−3y

3y+36=−33

Step 3: Subtract 36 from both sides

3y+36−36=−33−36

3y=−69

Step 4: Divide both sides by 3.

3y/3=−69/3

y=−23

Answer:

y=−23

Answer:

To find the radius we must multiply by two to get 18.8

Then we multiply 18.8 for PIEEEEEE

3.14x18.8= 59.03

Step-by-step explanation:

I hope this helps!!!!! Please mark me brainliest.

Answer:

She had 40 carrots.

Step-by-step explanation:

60 - 18 = 42 -2 = 40

Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

Answer:

C, D, F

Step-by-step explanation:

I hope it helps, sorry if any wrong.

Answer:

1968

Step-by-step explanation:

246×2=492(First month)

492×2=984(Second month)

984×2=1968(Third month)

Answer:

512....................

Answer:

Step-by-step explanation:

C=pi times 4

C= 3.14 times 4

C=12.56

Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

Answer:

2/3 bottle of car wax

Step-by-step explanation:

If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.

Hope this helps!

Hey there!

33,264 feet is 6.3 miles.

Have a terrificly amazing day!

Answer:

 Billy could have cut his pizza into 7,6,5,4,3,2, or 1 slices of pizza

Step-by-step explanation:

Billy ate less than 8 slices of pizza so billy could have sliced his pizza into any number that is less than 8

Answer:

[tex]x=16.4\ y=13.7[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]

[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]

[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]

[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]

[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]

[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Answer:

C) (1,0), and (-3,0)

Step-by-step explanation:

The parabola intercepts the x axis at points (1,0) and (-3,0).

your answer is

C) (1,0), and (-3,0)

have a good dayyy!

Answer:

distributive property is in the middle going straight up (read it going from the bottom up)