they paid $13 for each pepperoni pizza and $11for each plain pizza the club bought total of 18 pizzas for the party and paint a total of $212 Drag and drop the numbers to the boxes to create an equation which models this situation if x=the number of pepperoni pizza and y=the numbers of plain pizza boght

Answer:

f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄

Step-by-step explanation:

b² = 4ac, so the discriminant is 0.  That means the quadratic has a repeated root, which is the vertex.

f(x) has an axis of symmetry of x = -5.  That means the x-coordinate of the vertex is -5.

So f(x) = a (x + 5)².

f(-1) = 4, so the value of a is:

4 = a (-1 + 5)²

4 = 16a

a = ¼

The function is  f(x) = ¼ (x + 5)².  Converting to standard form:

f(x) = ¼ (x² + 10x + 25)

f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄

Answer: 7x^2+3y^2-4x

Choose the first option

Step-by-step explanation:

Ok, so let me show you how to do this.

First, distrubute the negative sign

12x^2-11y^2-13x-(5x^2-14y^2-9x)=

12x^2-11y^2-13x-5x^2+14y^2+9x

Now combine like terms

(12x^2-5x^2)=7x^2

(-11y^2+14y^2)=3y^2

(-13x+9x)=-4x

7x^2+3y^2-4x is the answer.

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

Answer:

Marcus; 1.25 km

Step-by-step explanation:

Marcus ran farther than Cindy because 3.2 km is greater than 1.95 km.

How much farther is:

3.2 - 1.95 = 1.25 km

He ran 1.25 km farther than Cindy.

The person who ran further is the person who ran more kilometers.

The person who ran more kilometers is Marcus which means that Marcus ran farther.

The distance he ran farther by is:

= Distance Marcus ran - Distance Cindy ran

= 3.2 - 1.95

= 1.25 km

In conclusion, Marcus ran farther by 1.25 km.

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Answer:

[tex]=14a^5+14a^4-10a^3-16a[/tex]

Step-by-step explanation:

[tex]\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4[/tex]

[tex]\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a[/tex]

Answer: Falling

Step-by-step explanation:

Once you rearrange this equation into y-intercept form and you get y = -4x-3, you then graph the line and the line appears to be decreasing down.

Step-by-step explanation:

For finding range we will arrange it from least to greatest

0.50 1 1 1 1 2.50 2.50 3 4

So range = 4 - 0.50 = 3.50

Answer:

9+6

Step-by-step explanation:

6 + 9 is similar to 9+6 because they both equal 15

Answer:

[tex]15[/tex]

Step-by-step explanation:

[tex]6 + 9 = 15[/tex]

For and example ,u have 6 apples with you and your friend gave more 9 apples to you. Now think how many apples are there with you. there are 15 apples.

hope this helps

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good luck! have a nice day!

Answer:

1) slope of the line [tex]m = \frac{1}{4}[/tex]

2) slope of the line     [tex]m = \frac{11}{8}[/tex]

3) slope of the line   m =2

4) slope of the line   [tex]m = \frac{-8}{3}[/tex]

5) slope of the line m =7

Step-by-step explanation:

1)

Given points are  (4,5) and (-4,3)

slope of the line  Formula

             [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

            [tex]m = \frac{3 - 5 }{-4-4 } = \frac{-2}{-8} = \frac{1}{4}[/tex]

            [tex]m = \frac{1}{4}[/tex]

2)

Given points are (-2,-4) and (6,7)

slope of the line  Formula

             [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

            [tex]m = \frac{7 - (-4) }{6-(-2) } = \frac{11}{8}[/tex]

            [tex]m = \frac{11}{8}[/tex]

3)

Given points are (2, -4) and (10,12)

slope of the line  Formula

             [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

            [tex]m = \frac{12 - (-4) }{10-(2) } = \frac{16}{8} =2[/tex]

            [tex]m = 2[/tex]

4) Given points are

      (1/2,2) and (1, 2/3)

  slope of the line  Formula

             [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

            [tex]m = \frac{\frac{2}{3} - (2) }{1-(\frac{1}{2} ) } = \frac{\frac{-4}{3} }{\frac{1}{2} }[/tex]

            [tex]m = \frac{-8}{3}[/tex]

5)

Given points are

      (1/4,5) and (5/4 , 12)

  slope of the line  Formula

             [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

            [tex]m = \frac{12-5}{\frac{5}{4} -\frac{1}{4} } = \frac{7}{\frac{4}{4} } = 7[/tex]

            [tex]m = 7[/tex]

Answer

10.60$

Step-by-step explanation:

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Given equation:

[tex]\bold{0.5x-7= \sqrt{(-5x+29)}}[/tex]

As in the given question the two ways to solve the equation can be defined as follows:

First way:

Let square the above-given equation then we will get:

[tex]\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\[/tex]

The calculated equation doesn't have any like term that's why it can't be factorised.

Second way:

after calculating the equation that is [tex]0.25x^2-2x+20=0[/tex], it graph is given in attachment please find.

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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Answer:

108

Step-by-step explanation:

Mike's current age, be M

Then Brandon's is: M - 27

Also, M = 4(M - 27)

M = 4M - 108

M - 4M = - 108

- 3M = - 108

Answer:

c

Step-by-step explanation:

The solution is: x = 10/3 hours

What is the equations with one variable?

An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.

We need to set up an equation using the given information to solve for x.

Let's start with Dwayne's formula:

Cost = 30x + 50

And Ivor's formula:

Cost = 45x

Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:

30x + 50 = 45x

Simplifying and solving for x:

50 = 15x

x = 50/15

x = 10/3 hours

Therefore, the solution is: x = 10/3 hours

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Answer:

We know that y is a function of x because for each x-coordinate there is exactly one y-coordinate. If we draw a vertical line across the plot of the function, it only intersects the function once for each value of x. That is true no matter where the line is drawn.

Step-by-step explanation:

hope this helps you :)

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that n ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Answer:

125%

Step-by-step explanation:

Since we already know that there was an increase of 100 responses, we have to divide 100 by 80 and multiply by 100:

100/80 * 100

= 125%

There was a 125% increase in the number of responses.

Answer:

125%

Step-by-step explanation:

Edg. 2020

Answer: First option

Step-by-step explanation:

Answer:

The correct answer is A. 8 feet by 4 feet by 3 feet & E. 3 feet by 5 feet by 7 feet

Step-by-step explanation:

Hope this helps! Have a great rest of your day/night! :)))

Answer:

40 square feet tiles.

Step-by-step explanation:

It may help to have a visual. Anyways, if the countertop contains 40 square feet, that means the area is 40 square feet. Keep in mind that 12 inches = 1 foot. So if we have 1 foot squared tiles and we need to find how many tiles it takes to cover the countertop, we use division. 40 square feet ÷ 1 square feet tiles = 40 square feet tiles.

Answer:

It would take 40

Step-by-step explanation:

12 inches = 1 foot

1 foot by 1 foot square tiles

And 40 square feet so

1 x 40 = 40

Have a good day. :)

Hope this helps!

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Answer:

a is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because -4 4/5 is FAR below 4 2/5

Answer:

I think the awnser should be A

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know that a^ b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Now rewriting 16 as 2^4

2^4^3/4

2 ^ (4*3/4)

2^3

8

Answer:

a = 17 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 45 = 17/a

Multiply each side by a

a sin 45 = 17

Divide each side by sin 45

a = 17 / sin 45

a = 17 / ( 1 / sqrt(2))

a = 17 sqrt(2)

Answer:

b

Step-by-step explanation:

ape x

Answer:

B. They lie in the same plane.

Step-by-step explanation:

Got Correct On ASSIST.

Answer:

25 million mosquitoes

Step-by-step explanation:

maximum possible number = 25

Answer:

(3) 2-8-4

Step-by-step explanation:

Sulphur has an atomic number of 16

sulphur can exist in 3 different excited states of +2, +4 and +6

electronic configuration of sulphur is 2,8,6

when excited, it loses 2 electrons to enter the +2 state

in the +2 state, the electronic configuration will be 2,8,4

Answer:

Step-by-step explanation:

C

Answer:

32000-2500x, let x equal number of minutes.

Step-by-step explanation:

Answer:

[tex]y=-2,500x+32,000[/tex]

Step-by-step explanation:

x is the rate of the elevation per minute, so -2,500 feet every minute. And 32,000 is the start elevation.