find the value of X ​

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

Answer:

The answer is the 2nd option

Step-by-step explanation:

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Answer:

X= 20 degrees

Step-by-step explanation:

Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:

(3x)3= 180

9x= 180

X =20

Answer:

ummmm 5 ..............

Answer:

x = 11 , m∠2 = 31

Step-by-step explanation:

We know that m∠1  is equal to both 6x+8 and 74

Therefore, 6x+8 = 74

And 6x = 66

x = 11

To find m∠2, we just plug in the value of x that we got earlier

(7x-2) + m∠2 = 106

(77-2) + m∠2 = 106

m∠2 = 31

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

Answer:

Basic parabola:  y = ax2 + bx + c

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

(-2, 24):  24 = 4a - 2b + c   {equation 1}

(3, -1):   -1 = 9a + 3b + c    {equation 2}

(-1, 15): 15 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = 24   {equation 1}

 a -  b + c = 15    {equation 3}

---------------------  subtract

3a - b = 9

9a + 3b + c = -1    {equation 2}

 a -  b + c = 15    {equation 3}

--------------------  subtract

8a + 4b = -16

We now have two equations with 2 unknowns we can use to find a, b

3a - b = 9         {equation 4}

8a + 4b = -16   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = 36

8a + 4b = -6

-----------------   add

20a = 30

a = 30/20

a = 3/2

8a + 4b = -6

8(3/2) + 4b = -6

12 + 4b = -6

4b = -6- 12

4b = -18

b = -18/4

b = -9/2

Plug these 2 values into one of the original equations and solve for c

15 = a - b + c        {equation 3}

15 = 3/2 + 9/2 + c

15 = 12/2 + c

15 = 6 + c

c = 15-6

c = 9

y = (3/2)x2 - (9/2)x+ 9

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Step-by-step explanation:

Answer:

Total cost to conduct survey = $2075

Step-by-step explanation:

Given that:

Number of questions on survey = 15

Number of people = 500

Base fee = $1000

Per question charge = $5

Per person surveyed = $2

Let,

q be the number of questions

p be the number of people

Total cost = Base fee + 5q + 2p

Total cost = 1000 + 5(15) + 2(500)

Total cost = 1000 + 75 + 1000

Total cost = $2075

Hence,

Total cost to conduct survey = $2075

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

Answer:

x=13

Step-by-step explanation:

1. Place 6 in

6=x-7

2. Evaluate

x=6+7

x=13

Answer:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

5

Step-by-step explanation:

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Answer:

22

Step-by-step explanation:

Answer:

180m

Step-by-step explanation:

Let L = length of field,

W = width of field,

A = field area = 2000 m^2

Lenght = Width + 10m

Let Lenght= x

Width=y

A = X ×Y = (Y + 10)Y= 2000

Y^2 + 10Y- 2000 = 0

Solving using Quadratic eqn with plot

Y= 40 or -50 but we go for the positive root

Width=40m

Length= 40m +10m

= 50m

Perimeter= 2(l+w)

=2(50+40)

180m

Hence, the perimeter is 180 m

CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT

Answer:

19.6

I am not sure of my answer

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

Answer:

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Answer:

maybe 900 arcade games..good luck

Answer:

7.5

Step-by-step explanation:

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]