A video store charges a monthly membership fee of $9, but the charge to rent each movie is only $2 per movie. Another store has no membership fee, but it costs $3.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?​

Answer:

[tex]\frac{16}{5}[/tex] or [tex]3.2[/tex]

Step-by-step explanation:

The given triangles are similar, meaning that their corresponding sides are proportional.

The length of DC (I think its D) is 15 and the length of WZ is 3. ZY is in the same place as CE (16). Make a proportional relationship where Δ→Δ:

[tex]\frac{large}{small} =\frac{large}{small}[/tex]

[tex]\frac{DC}{WZ}=\frac{CE}{ZY}[/tex]

Insert the known values:

[tex]\frac{15}{3}=\frac{16}{x}[/tex]

x is the value of ZY. Solve by cross multiplying:

[tex]15(x)=3(16)\\\\15x=48[/tex]

Divide both sides by 15:

[tex]\frac{15x}{15} =\frac{48}{15} \\\\x=3.2[/tex]

ZY is 3.2.

:Done

Answer:

2 and 1/3

Step-by-step explanation:

1 2/5 = 7/5

1 2/3 = 5/3

(7/5) * (5/3) = 7/3

7/3 = 2 1/3

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 6 = -20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer:

i am not sure of my answer sorry can you make the question simpler maybe then I can answer it

Step-by-step explanation:

Answer:

#1. B

#2. D

#3. C

#4. statement A

#5. A

#6. C

#7. B

#8. D

#9. B

#10. D

#11. C

#12 & #13 & #14- sorry I dont get those

#15. A

Step-by-step explanation:

I did half of it, I'm sorry the rest like the stuff I'm doing in class rn and I don't get that stuff

Answer:

Brainliest to the guy above :)

Step-by-step explanation:

Answer:

[tex]\textbf{It's being divided by -40}[/tex]

Step-by-step explanation:

-5m = -40

-5m/-40

hope it helps!

Answer:

[tex](f+g)(x)=x^2-4x-21[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=x^2-5x-14\text{ and } g(x)=x-7[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

Therefore, by substitution:

[tex]=(x^2-5x-14)+(x-7)[/tex]

Rearranging gives:

[tex]=(x^2)+(-5x+x)+(-14-7)[/tex]

Combine like terms:

[tex]=x^2-4x-21[/tex]

Answer:

54.67 Dollars

Step-by-step explanation:

82 / 3 = 27.33, 82 - 27.33 = 54.67 :D

Answer:54.94

Step-by-step explanation:

Answer:

9/40 or 0.225

Step-by-step explanation:

Answer:

114°F

Step-by-step explanation:

114 + -23 = 93

Answer:i think D but i would see what others say first

Step-by-step explanation:

Answer:

B) 1p - 0.4p

Step-by-step explanation:

40% to a decimal is 0.4, so that immediately marks "A" and "C" wrong.

Now what you're trying to find is the expression itself, so you want to first look for keywords, 'cause sometimes they can just give away the answer.

"A" says you're multiplying (a variable beside a number means to multiply)

"B" says you're subtracting 1p (1 x p) and 0.4p (0.4 x p)

"D" says you're adding 1p (1 x p) and 0.4p (0.4 x p)

So, now you look over the question.

Really you can mark "A" wrong. Now it's just between "B" and "D."

When you use percentages and an item, you're taking it OFF the price. So, the answer is B.

Step-by-step explanation:

Wait that's really interesting, what grade did you get on it? (Thank you for the points.)

Answer:

A. 3

Step-by-step explanation:

Hope this helps!     :3

plz mark as brainliest!

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

[tex]p = 2w + 2l[/tex]

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width.  We can express that as [tex]w = 3l - 6[/tex].

We can plug that definition of w into the perimeter equation to find the length:

[tex]p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8[/tex]

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

[tex]p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18[/tex]

So the width is 18

Step-by-step explanation:

It is worked out step by step.

Answer:

A and C

Step-by-step explanation:

If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same

Answer:

Hello Mate! Ans : Yes, number x = 9.688888...... is rational number.

Answer:

x>-1

Step-by-step explanation:

Answer:

The simple interest is $58.5

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

where p is principal = $300

R is rate = 6.5%

T is time = 3 years

Substituting these values in the simple interest equation, we have that;

S.I = (300 * 6.5 * 3)/100 = $58.5

Answer:

The correct answer is 166.375 or 166.4 when rounded to the nearest tenth.

Step-by-step explanation:

If x = 0.5, then 5x^3 = 5.5^3.

5.5^3 is the same as multiplying 5.5 by itself 3 times.

5.5 x 5.5 x 5.5 = 166.375 or 166.4 when rounded to the nearest tenth.

Hope this helps! :D

Answer:

0.625

Step-by-step explanation:

First, you do 0.5^3=0.125

then 0.125 * 5 = 0.625

Answer:

the 9 pack

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

5) The height of a rocket after it is launched

For this case, what you should do is remember the kinematics expressions where we have:

a

v = a * t + vo

y = a * t ^ 2 + vo * t + i

Where,

a: acceleration

v: speed

y: vertical position

t: time

vo: initial speed

yo: initial position

We observe that the expression for the given position is given by a quadratic expression.

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

[tex]7(4)+3x=64[/tex]

[tex]28+3x=64[/tex]

[tex]3x=64-28[/tex]

[tex]3x=36[/tex]

Divide both sides by 3.

[tex]x=12[/tex]

Therefore, the cost of each adult ticket is $12.

Answer:

Step-by-step explanation:

experimental probability is

number of times 3 appeared / number of tooses you experimented

[tex]P_{3} = \frac{1}{6}[/tex]