Cynthia paid $30 for herself and her 2 friends at the movies. Each person had a movie ticket, a bag of popcorn for $2, and a drink for $1. Cynthia had a coupon for $7.50 off. What was the original price of each ticket?

Answer: See attached image

Step-by-step explanation:

[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]

[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]

See attached merged number line below:

The first number line is of x < 2

The second number line is of interval x > -1

The third number line is the merge of the overlapping intervals

Answer:

its just what the question says

Step-by-step explanation:

Answer:

B: For quadratic equations, the root is the same as the solution.

Step-by-step explanation:

In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;

x = [-b ± √(b² - 4ac)]/(2a)

Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.

Basically, in quadratic equations, the roots are solutions to the equation.

Answer:

C

Step-by-step explanation:

Answer: (3,10)??? this question isn't specific sorry

Step-by-step explanation:

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis

Answer:

A and C are correct

Step-by-step explanation:

We have to select the true statements from the given four statements in options.

I think the statements A and C are true from the mathematical point of view.

If the original function is and then by reflecting it about the x-axis the equation will become , and then shrinking it vertically by a factor of the function will finally become .

Hence, statement A is true.

Again, the original function has domain x ≥ 0 and range y ≥ 0, but in the transformed equation has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.

Hence, statement C is also true. (Answer)

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. [tex]B = (x,y)[/tex]

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (x,y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y - 0}{x - 0}[/tex]

[tex]m = \frac{y}{x}[/tex]

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

[tex]B' = (-x,-y)[/tex]

Taking the slope of B'

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (-x,-y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-y - 0}{-x - 0}[/tex]

[tex]m = \frac{-y}{-x}[/tex]

[tex]m = \frac{y}{x}[/tex]

Notice that the slope of B and B' is the same;

[tex]m = \frac{y}{x}[/tex]

Hence:

Rotation of 180° about point B  answers the question

There's no need to check for other options

Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast

Hope this helps! c:

Step-by-step explanation:

We are here given that a point B is between A and C . Also ,

And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,

[tex]\rm:\implies AC = AB + BC [/tex]

Substitute the respective values,

[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]

Add like terms ,

[tex]\rm:\implies 21 = 5x +1 [/tex]

Subtract 1 on both sides,

[tex]\rm:\implies 21-1 = 5x [/tex]

Simplify,

[tex]\rm:\implies 20=5x [/tex]

Divide both sides by 5,

[tex]\rm:\implies \blue{ x = 4}[/tex]

Now consider ,

[tex]\rm:\implies BC = 3x+1 [/tex]

Plug in the value of x found above ,

[tex]\rm:\implies BC= 3(4)+1[/tex]

Simplify,

[tex]\rm:\implies BC = 12+1[/tex]

Add,

[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]

And we are done !

Answer:

+ BC = AC

x + 2x+1 = 22

3x +1 = 22

3x = 21

x = 7

AB = 7

BC = 2*7+1 = 14 + 1 = 15

15 - 2

13

Answer:

she saved 37.5%

Step-by-step explanation:

96-60=36

96*x=36

divide both sides by 96

x=0.375

Using the area of a circle, it is found that the area of the grass that will be watered is given by:

B. 800/9 pi ft^2

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex].

In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.

It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.

Hence the watered area in ft² is given by:

[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]

Which means that option B is correct.

More can be learned about the area of a circle at https://brainly.com/question/17326298

Answer:

B. 800/9 pi ft^2

Step-by-step explanation:

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx

1)

I think you should start off by solving the function equal to the given growth.

[tex]f(m) = 5.98[/tex]

[tex]3(1.09) {}^{m} = 5.98[/tex]

[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]

[tex]1.09 {}^{m} = 1.9933[/tex]

[tex]m \times ln(1.09) = ln(1.9933) [/tex]

[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]

It is sufficient to plot the exponential growth over the domain m [0,8]

2)

The y-intercept in this case represents the growth achieved at the beginning when m=0.

Before the experiment started::

3)

I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,

[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]

Note that c is the average rate of change.

Find f(2) first by substituting 2 in f(m)

f(2)=3(1.09)²=3.5643

[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]

[tex]c = \frac{2.4157}{6} = 0.4026[/tex]

average growth=0.4026 cm/month

Answer:

Check the pic

Step-by-step explanation:

Answer:

A.)

-2, -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

mark me brainliest!!

Answer:

34%

Step-by-step explanation

34% (I believe)

Answer:

[tex]\frac{x+6}{x-1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator

= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator

= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

N= 5

Step-by-step explanation:

Solve for N by cross multiplying

Answer:

Parallelogram means opposite sides equal and parallel to each other

So

Done!

Answer:

5.7 cm

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

c^2 = 32

√c^2 = √32

c ≈ 5.6568

c = 5.7

Answer:

x = 5

Step-by-step explanation:

AB = CD, so x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Answer:

5 21/40

Step-by-step explanation:

easy maths

Answer:

Step-by-step explanation:

principal ( p ) = $3100

Rate ( R ) = 5.5 %

Time ( T ) = 3 months

( convert months into year)

= 3/12 year

Simple Interest ( I ) = ??

By using formula ,

simple Interest ( I) = PTR / 100

=$3100 × 5.5 % × 3/12 ÷ 100

= 3100 × 5.5 × 3 ÷ 100 × 12

= 51150 ÷ 1200

= 42.625

= $ 42.625

Thank you ☺️☺️☺️

Answer:

I don't think you provided the whole question...

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]

[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]

[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

There!!

Step-by-step explanation:

mark me brainliest!!

Answer:

88 m

Step-by-step explanation:

Given,

Radius ( r ) = 14

Formula : -

Circumference of circle = 2π4

Circumference of circle

= 2 x 22 / 7 x 14

= ( 2 x 22 x 14 ) / 7

[ 14 = 2 x 7 ]

= ( 2 x 22 x 2 x 7 ] / 7

= 2 x 22 x 2

= 88 m

Note : -

The value of π = 22 / 7.

Answer:

105°

Step-by-step explanation:

FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)

FEG+35°=140°

FEG=140-35

FEG= 105

Answer:

$584.92928

Step-by-step explanation:

If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:

y=500(1.04)^x

y being dollars and x in years

if we replace x with 4, the answers come out to be 584.92928

Answer:

Step-by-step explanation:

First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is

r=4%=4100=0.04.

The principal P=500, so the future value is

A=P(1+rt)=500(1+(0.04)(4))=$580.

Answer:

Step-by-step explanation:

AB/ED = AC/DF

15/18 = AC/20

5/6 = AC/20

Cross multipy

6AC = 5*20 = 100

so

AC = 100/6 = 16.7