Write the expression shown below in simplest terms.

4/5 (10x - 25) + 25

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

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Answer:

33 is the correct answer

Answer:

0.82

Step-by-step explanation:

I literally took the test

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

Answer:

(-2, -4)

Step-by-step explanation:

Since both equations are equal to y, you can set them equal to each other:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]

Next, solve for x:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]

Finally, substitute the solution for x in one of the equations (or both) to find y:

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

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

Therefore, the solution to the system of equations is (-2, -4).

Answer:

The coefficient is 6 because it has a variable "x"

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

Answer:

The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.

Step-by-step explanation:

Hope this helps;)

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

or

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

Answer:

u=7

Step-by-step explanation:

First, add 4u and 3u because they are like terms.

7u+21=70

Second, subtract 21 from both sides.  

7u=49

Finally, to isolate the variable divide 7 from both sides.

u=7

Answer:

Values

Step-by-step explanation:

Values provide standards of competence and morality. These are ideas that we hold to be important. They govern the way we behave, communicate and interact with others. They transcend specific objects, Situations or persons.

Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

Answer:

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Answer:

It's the bottom right graph.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

All the angles added up will equal 180 degrees (recall a straight line has an angle of 180 degrees).

Therefore, you can create the following equation and solve for x:

[tex]2x+3x+2x+3x=180\\10x=180\\x=\frac{180}{10}\\x=18[/tex]

Answer:

x=18

Step-by-step explanation:

equation: 90=2x+3x

Answer:

x = 0

Step-by-step explanation:

Let's divid both sides of the equation by 2 first, so we don't have as much work to do in the next step:

[tex]4x-2y=6\\2x-y=3[/tex]

Substituting -3 for y:

[tex]2x-(-3)=3\\2x+3=3\\2x=0\\x=0[/tex]

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

Answer:

1. (1, 3), (2, 5), (2, 7) (4,9)  No

2. (1, 3), (2, 5), (3, 7) (4,9)  Function

3. (1, 3), (1,5), (1, 7) (4, 9)  No

4. (1,3), (2, 3), (3, 3) (4, 3)  Function

5. (1, 2), (2, 5), (2, 1) (4, 5) No

Step-by-step explanation:

If you see the same x-coordinate more than once in a relation, then that relation is not a function.

1. (1, 3), (2, 5), (2, 7) (4,9)  The 2 is used more than once as a x-coordinate. Not a function.

2. (1, 3), (2, 5), (3, 7) (4,9)  All x-coordinates are different. Function.

3. (1, 3), (1,5), (1, 7) (4, 9)  The 1 is used more than once as an x-coordinate. Not a function.

4. (1,3), (2, 3), (3, 3) (4, 3)  All x-coordinates are different. Function.

5. (1, 2), (2, 5), (2, 1) (4, 5) The 2 is used more than once as a x-coordinate. Not a function.

Answer:

B

Step-by-step explanation: it All Becomes Negative if it is Reflected

Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = [tex]\frac{80}{360}(2\pi) (18)[/tex]

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

Answer:

B. 16.9

Step-by-step explanation:

Reverse Pythagoreans theorem C^2 - B^2 = A^2 so

7^2 - 5^2 = c^2 and it comes out to

49-25 = 24 the square root of that is 4.9 (rounded)

But we are lookign for the perimeter so

4.9 + 7 + 5 = 16.9