2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

Answer:

x = 18

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 24^2 = ( 12+x)^2

FOIL the right side

x^2 +576 = 144 + 24x + x^2

Subtract x^2 from each side

576 = 144 + 24x

Subtract 144 from each side

576-144 = 24x

432 = 24x

Divide each side by 24

432/24 = 24x/24

18=x

Answer:

27.43 meters in between each base, 109.72 around all the bases.

Step-by-step explanation:

There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

Answer:

-4 is lesser than 0

Step-by-step explanation:

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

Answer:

4

Step-by-step explanation:

Answer:

5-1

Step-by-step explanation:

Step-by-step explanation:

70°+70°+a°=180°

a°=180°-140°

a°=40°

p°=70° (vertically opposite angle)

q°=70°(alternate interior angles)

hope it helps

Answer:

i think 7

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

cuz in this you have to move the 5 from the 12 can i have brainleyist

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

Answer:

[tex] \frac{n}{28 \: cm}[/tex]

Step-by-step explanation:

AC = n, DF = 28 cm

[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  [tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

Answer:

x = 20/3

Step-by-step explanation:

Exact Form: 34/27

Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)

Decimal Form: 1.259... (never ending)

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

it's c

Step-by-step explanation:

Answer:

C.

[tex] \sqrt[3]{64} \times \sqrt[3]{8} [/tex]

Step-by-step explanation:

8a^3 - b^3

= (2a)^3 - b^3

= (2a -b) (4a^2 + 2ab + b^2)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten as,

8a³ - b³​

= (2a)³ - b³

It is known that x³-y³​ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,

= (2a)³ - b³

= (2a - b)[(2a)² + (2a × b) + b²]

= (2a - b)(4a² + 2ab + b²)

Hence, the given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

If you are asking me to combine the expressions, then we can combine like terms to get 19x-6

Step-by-step explanation:

Answer:

a principal square root is always positive

Step-by-step explanation:

When you take a square root of a number, you get a positive and negative number

The principal square root is the positive number

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

Answer:13.52

Step-by-step explanation:2,81+3.67=20-6.48=13.52

Answer:

Step-by-step explanation:

-1/3 + 9/5

-3/15 + 27/15

24/15 = 8/5 = 1 3/5

Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.

Step-by-step explanation:

i just got a 100

Answer:

Ms. Bailey purchases 6 children tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

10x+6y=46

plug in what you know

10(1)+6y=46

10+6y=46

subtract 10 from both sides

6y=36

divide both sides by 6

y=6

6 children tickets

Answer:

90° im pretty sure is the correct answer

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets