Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

Answer:

yes

Step-by-step explanation:

Answer:

60 and 72

Step-by-step explanation:

We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72

Geometric

Answer:

6 X 10^21

Step-by-step explanation:

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

[tex]5(11)=55[/tex]

The triangle:

[tex]2(5)=10\\10/2=5[/tex]

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

                                           = 17.77

                                           ≈ 17.8 units

Area of the circle = πr²

                             = π(2√2)²

                             = 8π

                             = 25.13

                             ≈ 25.1 square unit

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

Answer:

6...the length is 6

This is a horizontal line!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

black lines....I think

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.

Answer:

10

Step-by-step explanation:

    Given line:

              F       G       H        I

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

Answer:

x = 4

Step-by-step explanation:

Let's multiply both sides by 5 to get rid of the leading fractions.

5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)

(4x-8) = 2 (12-2x)

4x - 8 = 24 - 4x

8x = 32

x = 4

x = 4

Hello! I hope i’m correct!! :)

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

[tex](m^{2+3})^{4}[/tex]

[tex](m^{5})^{4}[/tex]

[tex]=[/tex][tex]m^{20}[/tex]

First expression: m^20

______________________________

[tex](x^{5} )^{2}[/tex]

[tex]=x^{10}[/tex]

Second expression: x^10

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️

(Sorry if this is incorrect!)

~By, BrainlyAnime~ <3

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

1. Reformatting the input:

Changes made to your input should not affect the solution:

( 1 ) : "m3"  was replaced by "m^3".

m^5 raised to the 4th power = m^( 5 * 4 ) = m^20

_________________________________________________

2.  

x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10

Answer:

444.6 liters

Step-by-step explanation:

117*3.8

444.6

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211

Answer:

false

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:

Answer:

Factor 3y23y2 out of 3y33y3.

3y2(y)−9y23y2(y)-9y2

Factor 3y23y2 out of −9y2-9y2.

3y2(y)+3y2(−3)3y2(y)+3y2(-3)

Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).

3y2(y−3)

Step-by-step explanation:

mark me the brainliest please

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

Answer:  see below

Step-by-step explanation:

[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]

        3(x - 12) > 5(x - 24)

        3x - 36 > 5x - 120

      -5x         -5x        

        -2x - 36 >      -120

             +36          +36

        -2x        >       -84

     ÷ -2         ↓       ÷ -2  

             x      <       42

Graph:   ←------------o

                             42

34)   6[5y - (3y - 1)] ≥ 4(3y - 7)

        6[5y - 3y + 1] ≥ 4(3y - 7)

        6{2y + 1]        ≥ 4(3y - 7)

         12y + 6        ≥ 12y - 28

        -12y                -12y      

                  6        ≥         -28

                        TRUE  so the solution is All Real Numbers

Graph:   ←-----------------------→

36)   BC  +  AC      > AB

         4    + 8 - AB > AB

                12 - AB  > AB

                    +AB    +AB

                12          > 2AB

              ÷2            ÷2    

                 6           >  AB

                         AB < 6

[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]

Check: let y = 16

           then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2

                            0    ≥ 18

                            FALSE  so the claim is wrong

40) question not provided in the image so I cannot give a solution.

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.