Which set of ordered pairs represents y as a function of x? ​

Answer:

Length = 16 in

Width = 12 in

Step-by-step explanation:

Given:

Area of a rectangle = 192 in²

Ratio(length to width) = 4:3

Find:

Length and the width

Computation:

Ratio(length to width) = 4:3

So,

Length = 4a

Width = 3a

Area of a rectangle = Length x Width

192 = 4a x 3a

192 = 12a²

a² = 16

a = 4

Length = 4a = 4 x 4 = 16 in

Width = 3a = 3 x 4 = 12 in

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

              this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = [tex]\frac{4}{2}[/tex]

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = [tex]\frac{6}{3}[/tex]

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = [tex]\frac{10}{5}[/tex]

⇒x = 2

Verified

Answer:

36 total cookies

Step-by-step explanation:

2 dozen = 2/3 of the total cookies

24 = 2/3 of the total cookies

24/x = 2/3

cross multiply

24(3) = 2x

72 = 2x

x = 36

Check the math: 2/3 x 36 = 72/3 = 24

Answer:

176 feet

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

find the circumference then multiply by 24 then find the answer that is the closest

Answer:

1.84

Step-by-step explanation:

First you solve what is in the parenthesis.

60 - 5.8 = 54.2

The equation is now 54.2 ÷ 5 - 3^2

Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.

Your equation is now 54.2 ÷ 5 - 9

You then divide 54.2 ÷ 5

54.2 ÷ 5 = 10.84

The last equation is 10.84 - 9

10.84 - 9 = 1.84

Answer:

Answer 1.84.

Step-by-step explanation:

The first person's answer and explanation is correct.

Answer: 45 minutes more than 200

Step-by-step explanation:

So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per

58+0.20m=67

0.20m=9

m=45

So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes

Answer:

1,4

2,5

11x4-4x2-12

2x5-3x4+3x3+7x+14

Answer:

(b) Probability that a student is male and attends concert = 22.95%

(c) Probability that a student is female and does not attend concert = 29.4%

(d) Probability that a student attends concerts = 42.55%

Step-by-step explanation:

P.S - The exact question is -

Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.

To find - (a) Make a tree diagram based on the information above.

               (b) Find the probability that a student is male and attends    

                    concerts.

               (c) Find the probability that a student is female and does not

                    attend concerts.

                (d) Find the probability that a student attends concerts.

Proof -

Let the total population of the high school = 100 x

Given that,

The students of a high school are 51% males

⇒Total males in the high school = 51% × 100 x

                                                      = [tex]\frac{51}{100}[/tex] × 100 x = 51 x

⇒Total males in the high school = 51 x

⇒Total females in the high school = 100 x - 51 x = 49 x

Now,

Given that,

Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

⇒Total number of males that attend the concert = 45% × 51 x

                                                                                = [tex]\frac{45}{100}[/tex] × 51 x  = 22.95 x

⇒Total number of males that attend the concert = 22.95 x

And

Total number of males that do not attend the concert = 51 x - 22.95 x

                                                                                          = 28.05 x

⇒Total number of males that do not attend the concert = 28.05 x

Also,

Total number of females that attend the concert = 40% × 49 x

                                                                                = [tex]\frac{40}{100}[/tex] × 49 x  = 19.6 x

⇒Total number of females that attend the concert = 19.6 x

And

Total number of females that do not attend the concert = 49 x - 19.6 x

                                                                                             = 29.4 x

⇒Total number of females that do not attend the concert = 29.4 x

(a)

The tree diagram is as follows :

(b)

Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %

                                                                                          = 22.95%

⇒Probability that a student is male and attends concert = 22.95%

(c)

Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%

                                                                                                            = 29.4%

⇒Probability that a student is female and does not attend concert = 29.4%

(d)

Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%

                                                                        = [tex]\frac{42.55}{100}[/tex] ×100%

                                                                        = 42.55%

⇒Probability that a student attends concerts = 42.55%

Answer:

[tex]A=600\: u^{2}[/tex]

The correct answer is letter c.

Step-by-step explanation:

The area equation of a triangle is given by:

[tex]A=\frac{bh}{2}[/tex]  (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

[tex]tan(\alpha)=\frac{24}{32}[/tex]

[tex]\alpha=tan^{-1}(\frac{24}{32})[/tex]

[tex]\alpha=36.9^{\circ}[/tex]

Now, if α = 37° then β (angle JLK) must be:

[tex]37^{\circ} + \beta + 90^{\circ}=180^{\circ}[/tex]

[tex]\beta=53^{\circ}[/tex]

Now, we can find the distance ML using again the tangent definition:

[tex]tan(\beta)=\frac{24}{ML}[/tex]

[tex]ML=\frac{24}{tan(53)}[/tex]

[tex]ML=18[/tex]

The base of the triangle LKJ will be:

[tex]b=32+ML=32+18=50[/tex]

Therefore, using equation (1) the area of △LKJ will be:

[tex]A=\frac{50*24}{2}[/tex]

[tex]A=600\: u^{2}[/tex]

The correct answer is c.

I hope it helps you!

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

Answer:

D = 4

Step-by-step explanation:

41 divided by 12 is 3.41666666667

then add 7 to 41 = 48

then divide 48 divided by 12 = 4

D then equals 4

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

=========================================

The diagram shows:

Recall that the area of a parallelogram is equal to the base times height

area = base*height

We're told that the area is 117 square units, so that means 13x = 117.

Divide both sides by 13 to isolate x

13x = 117

13x/13 = 117/13

x = 9

The height of the parallelogram is 9

Note how:

area = base*height = 13*x = 13*9 = 117

which helps confirm we have the correct height value for x.

Answer:

14

Step-by-step explanation:

f(2)+g(2)

(2+4)+(2×2+4)

6+8

14

Answer:

$230 she takes home

Step-by-step explanation:

1840*0.125 = 230

Answer:

x+68=90 degrees

Step-by-step explanation:

Answer:

90-68 or 68+22

Step-by-step explanation:

this works becuz it is a 98 degree angle

Answer:

the answer is -8 and -1

-8 × -1 = 8

-8 + - 1 = -9

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

Answer:

ll

Step-by-step explanation:

square root of 121 is 11 since 11x11=121

Answer: 216.8$

Step-by-step explanation:

25 x 9.9 = 247.5

247.5 - 30.70 = 216.8

Answer:

50 miles for every 1 hour traveled

Step-by-step explanation:

Answer:

The volume of the Rubik's Cube is 27 in^3

Step-by-step explanation:

Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.

We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.

Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.

Now we know that each one of these small cubes has a volume of 1 in^3

Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:

V = 27*( 1 in^3) = 27 in^3

Answer:

$35

Step-by-step explanation:

jus trust

Answer:

I'm not completely sure, but I hope this helps.

Answer:

Step-by-step explanation:

Answer:

The answer is g(x)=(x-2)^2+1

Step-by-step explanation:

The equation of the blue graph is y = (x - 4)² + 1.

Option D is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.

The graph of y = x² is a simple upward-facing parabola that passes through the origin.

As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.

The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².

Thus,

The equation of the blue graph is y = (x - 4)² + 1.

Learn more about equations here:

https://brainly.com/question/17194269

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