For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax?

Answer:

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

Step-by-step explanation:

first distribute

[tex] \frac{36x - 9}{2x} = 15[/tex]

next multiply both sides by 2x

[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]

simplify

[tex] - 9 = - 6x[/tex]

divide both sides by -6

[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]

Answer:

126

Step-by-step explanation:

Step-by-step explanation:

2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :

1. support post (14ft), post to back (b), the long roof line

2. front to post (f), support post (14ft), dotted line

so, because the multiplication factor is the same for the sides, the ratio

"support post" / f

must be the same as

b / "support post"

14 / f = b / 14

b = 14²/f = 196/f

and then we know that

f + b = 53

by putting the first into the second equation we get

f + 196/f = 53

f² + 196 = 53f

f² - 53f + 196 = 0

the solution of such a quadratic equation in general is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = f

a = 1

b = -53

c = 196

f = (53 ± sqrt(53² - 4×1×196))/(2×1) =

= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =

= (53 ± 45)/2

f1 = (53 + 45)/2 = 98/2 = 49

f2 = (53 - 45)/2 = 8/2 = 4

as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.

therefore, the support post is positioned 4ft from the front of the house.

Answer:

its c

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

8 + 27 would give us 35

We add the negative since it starts from there and works it's way up.

In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.

Answer:

A

Step-by-step explanation:

Yes

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

Blake has 5 dimes and 10 nickels.

Let x represent the number of dimes and y represent the number of nickels.

Each dime is worth 10 cent ($0.1) and each nickel is worth 5 cents ($0.05).

Since he has a minimum of 13 coins, hence:

x + y ≥ 13     (1)

It is worth at most $1 combined, hence:

0.1x + 0.05y ≤ 1     (2)

From the graph, a possible solution is (5, 10).

Blake has 5 dimes and 10 nickels.

Find out more about inequalities at: https://brainly.com/question/241541

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How to get that answer:

The slope is the rate of change for any linear function.

Apply the slope formula for any two points on the diagonal line.

I'll use the points (-4, -3) and (0, 4)

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]

The slope is m = 7/4

This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)

slope = rise/run = 7/4

rise = 7, run = 4

The fraction 7/4 converts to the decimal form 1.75

Answer:

First one :

Function? Yes

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

Second one:

Function? No

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

Third one :

Function ? No

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

Step-by-step explanation:

A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.

The domain is the set of x values in a relation whereas the range is the set of y values in a relation

For the first one. No x value repeats, each input has its own output therefore this is a function.

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

The second one : The x value 2 repeats therefore the relation is not a function.

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

Answer:

2^2n = 4n

hope it helps you :)

Answer:

4n

Step-by-step explanation:

2^2n = 4n

hope u liked this answer :)

Answer:

x=1.2

Step-by-step explanation:

2(5x-4)=4

distribute 2 to 5x and -4

10x-8=4

add 8 to negative 8 and 4

10x=12

now divide both sides by 10

10x/10= 12/10

x=1.2

The value of x for the logarithmic expression will be x=1.2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is log2(5x-4)=4. The value of x will be calculated as,

2(5x-4)=4

Distribute 2 to 5x and -4,

10x-8=4

Add 8 to negative 8 and 4,

10x=12

Now divide both sides by 10,

10x/10= 12/10

x=1.2

Therefore, the value of x for the logarithmic expression will be x=1.2.

To know more about an expression follow

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Answer:

A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.

So, the answer to your question is B.  a × (1/a) = 1.

Hope this helps!! :)

Answer: Perpendicular

Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.

Answer:

Perpendicular

Step-by-step explanation:

Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.

To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.

Calculate the slope of the lines by dividing the difference in y by the difference in x:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]

m₂ is the negative reciprocal of m₁, so these lines are perpendicular.

Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.

Answer:

No solution

Step-by-step explanation:

-2(x-3)+5= -6(x+1)+4x

First Distribute:

-2x+6+5= -6x-6+4x

Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x

6+5+6= -6x+4x+2x

Last solve

17=0

no solution

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

Answer:

(m+8) - 2

Step-by-step explanation:

Answer:

= -30[tex]x^{6}[/tex]-4

i hope that helps and is right

If that is a multiplication sign then it is -184

if that is an x then it would be -4 -180x

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Step-by-step explanation: Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

Multiply by  both sides

-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is

therefore

the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Answer:

try 20%

Step-by-step explanation:

Answer:

y=-5/2x+2

y+3= -5/2. (x-2)

Step-by-step explanation:

Answer:

y=-5/2x+2

Step-by-step explanation:

y=mx+b, where m is slope, b is y-int and y and x are variables.

Step 1: plot your points

Step 2: draw a line thru them

Step 3: find the slope. -5/2. And your y-int. +2

Hope that helps! Brainliest is appreciated :)

Answer:

3. non linear

4. weak

Step-by-step explanation:

3. it doesn't go in a line

4. it's a weak association.

Answer:

B

Step-by-step explanation:

21 inches to 7 inches

The width of the original image is B)  [tex]7\frac{7}{8}[/tex] inches.

Given that: The width of the large poster is 21 inches.

Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.

So the width of the original image is = [tex]\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}[/tex]

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