A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide.

Answers

Answer 1

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0


Related Questions

is it complementary, supplementary, vertical, or none of the above? i need this right now!!!!

Answers

Answer:

d. None of these

Step-by-step explanation:

Hope it helps you in your learning process.

[tex] m\angle 1 + m\angle 2 + 90\degree = 360\degree [/tex]

[tex] m\angle 1 + m\angle 2 = 360\degree- 90\degree [/tex]

[tex] m\angle 1 + m\angle 2 = 270\degree [/tex]

Answer:

D. None of the above.

Step-by-step explanation:

Complementary are 90 degrees and supplementary are 180 degrees.

A full circle is 360 degrees, and since there is a right angle, that means that angle 1 and 2 make up 270 degrees total.

This means it is neither.

Carlos has a box of coins that he uses when playing poker
Number
with friends. The box currently contains 47 coins
Denomination of Coins Val
consisting of pennies, dimes, and quarters. The number of 0.01
pennies is equal to the number of dimes, and the total
value is $4.34. How many of each denomination of coin
does he have?

Answers

Answer:

d + 10d + 25q = 229.

Step-by-step explanation:

Factorise 12x^2 + 8x^3

Answers

Answer:

The answer is 4x^2 (3+ 2x)

Step-by-step explanation:

Factor  4 x ^2  out of  12 x ^2  +  8 x ^3 .

hoped this helped!

brainly, please?

what divided by 1/3 equals 6/7​

Answers

Answer:

7/18

Step-by-step explanation:

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Let x represent the unknown number.  

x ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{6}{7}[/tex]

To solve, we must multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{6}{7}[/tex] .

[tex]\frac{1}{3}[/tex] * [tex]\frac{6}{7}[/tex] = [tex]\frac{2}{7}[/tex]

So, x = [tex]\frac{2}{7}[/tex]

Therefore, [tex]\frac{2}{7}[/tex] divided by [tex]\frac{1}{3}[/tex] equals [tex]\frac{6}{7}[/tex].

I would appreciate brainliest, but if not that's ok!

There is an urn containing 10 marbles numbered 1 to 10. We sample 4 marbles without replacement. What is the probability that our sample contains the marbles labeled 1 and 2

Answers

Answer:

Step-by-step explanation:

The easiest way to do this is to assume you don't get a 1 or 2. You make your first draw from 8.

8 * 7 * 6 * 5 = 1680

The total number of ways of drawing 4 marbles is

10*9 * 8 * 7 = 5040

P(`(1 or 2) ) = 1680 / 5040 = 0.33333

The probability of getting a 1 or 2 in 4 throws = 1 - 0.3333 = 0.66667

original price: $148 discount: ? sale price: $125.80

Answers

Answer:

15 % off

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 148 × 15/100

Discount = 148 x 0.15

You save = $22.20

Final Price = Original Price - Discount

Final Price = 148 - 22.2

Final Price = $125.80

A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2". Is this a sample mean or a population mean, and which symbol would be used to denote it?

Answers

Answer:

Sample mean

Symbol: [tex]\frac{}{x}[/tex]

Step-by-step explanation:

Given

[tex]Population = 30[/tex]

[tex]Sample = 10[/tex]

[tex]Mean\ of\ the\ selected\ 10 = 5'2"[/tex]

Solving (a): Is it sample mean or population mean

From the question, we understand that 10 were selected from a total of 30.

And the mean of the selected 10 is 5'2"

The selected 10 is referred to as sample and the mean of the 10 is the sample mean

Solving (b): Symbol to use.

The symbol for sample mean is: [tex]\frac{}{x}[/tex]

Answer:

Step-by-step explanation:

its sample mean x just took the test.

A pure sample of an unknown molecule has a mass of 0.03551
kg and contains 0.2000 moles.
What is the molecular weight of the substance?
g/mol
а
1.76 g/mol
b. 177.6 g/mol
с
17.755 g/mol
d 177.55 kg/mol

Answers

Answer:

177.6 g/mol

Step-by-step explanation:

The molecular weight of the substance is 177.55 g/mol.

Option B is the correct answer.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

The molecular weight (MW) of the substance can be calculated by dividing the mass of the sample by the number of moles:

MW = mass/moles

MW = 0.03551 kg / 0.2000 moles

MW = 0.17755 kg/mol

However,

The answer is given in grams per mole, so we need to convert the result to g/mol.

So,

1 kg = 1000 g

MW = 0.17755 x 1000 g/mol

MW = 177.55 g/mol

Therefore,

The molecular weight of the substance is 177.55 g/mol.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

The ratio of tin to copper in an alloy is 6:9. How many kg of copper are there if the alloy has 32 kg of tin? Make a ratio table to solve.

Answers

Step-by-step explanation:

the three rows above you may draw as the ratio table

what is the result of subtracting the secound equation from the first -4x-2y=-2 x-2y=9

Answers

Answer:

When we subtract the second equation  x-2y=9 from the first equation  4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

Step-by-step explanation:

Given

The first equation

[tex]-4x-2y=-2[/tex]

The second equation

[tex]x-2y=9[/tex]

Let us subtract the second equation from the first equation

[tex]-4x-2y=-2[/tex]

[tex]-[/tex]

[tex]\:\underline{x-2y=9}[/tex]

[tex]-4x - 2y - (x - 2y) = -2 - 9[/tex]

[tex]-4x -2y -x + 2y = -2-9[/tex]

[tex]-5x = -11[/tex]

divide both sides by -5

[tex]\frac{-5x}{-5}=\frac{-11}{-5}[/tex]

Simplify

[tex]x=\frac{11}{5}[/tex]

Thus, when we subtract the second equation  x-2y=9 from the first equation  4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !

Answers

Answer:

It should be -3

Hope it helped i tried to help you ASAP

Step-by-step explanation:

Which of the following is the solution to the equation − 3 = 11? Group of answer choices
8
13
14
33

Answers

Answer:

Step-by-step explanation:

-3 = 11

= 11 + 3 = 14

14 is the correct answer

HELP! WILL GIVE BRANLIEST!

Answers

10 in each do 10 times 3 then subtract total

PLEASE HELP!!!

10 in.
A semicircular
window has a
radius of 10 in.
What is the area of
the window?

Answers

Answer:

area of window=1/2(πr²)=πr²/2=10²/2 π=50πinch²=50×3.14=157inch²

Evaluate the expression: 3a2 + 2b2 when a = -3 and b = 6​

Answers

Change the variables to numbers: 3(-6)2+2(6)2
Multiply 3 and -6=-18*2= -36
Multiply 2 and 6=12*2=24

-36+24= -12


Help!! I’ll give u Brainly ASAP!

Answers

Answer:

-2, 4

Step-by-step explanation:

basically just move the dot the same distance on the other side

What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours

Answers

Answer : -302.6

Step-by-step explanation:

A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

The table below shows the amount of money earned by two different workers over 5 consecutive days. Which equation best represents Fallon's earnings in terms of Donald's earnings? (How do you go from x to y?)

A. x = 7y
B. x = y + 7
C. y = x + 7
D. y = 7x

Answers

Answer:

Answer:C. y = x + 7

Step-by-step explanation:

everything on the left is 7 less then on the right

Find the value of q which will make the quadratic expression 9x ^2-12x+q a perfect square ​

Answers

Answer:

The value of q that makes the expression a perfect square is q = 4.

Step-by-step explanation:

Perfect square:

A perfect square expression has the following format:

[tex](a - b)^2 = a^2 - 2ab + b^2[/tex]

In this question:

[tex]9x^2 - 12x + q[/tex] is a perfect square, we have to find the value of q.

First we have to find the value of a, looking at the equivalent formula above. So

[tex]a^2 = 9x^2[/tex]

[tex]a = \sqrt{9x^2}[/tex]

[tex]a = 3x[/tex]

Since the second term, which is -2ab, is -12x, we have that:

[tex]-2ab = -12x[/tex]

[tex]-2(3x)b = -12x[/tex]

[tex]-6xb = -12x[/tex]

[tex]6b = 12[/tex]

[tex]b = \frac{12}{6}[/tex]

[tex]b = 2[/tex]

q is b squared. So

[tex]q = b^2 = 2^2 = 4[/tex]

The value of q that makes the expression a perfect square is q = 4.

50 POINTS I WILL MARK BRAINLIEST PLZ HELP ITS TIMED




Clara’s teacher asked her to draw a polygon with vertices (–2, 4), (5, 4), (3, –3), and (–2, 0) and to identify the polygon. Clara drew the polygon below and identified it as a quadrilateral.

On a coordinate plane, a polygon is formed by points (negative 2, 4), (5, 4), (3, negative 3), and (negative 2, 0).

Which explains whether Clara is correct?
Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure with the wrong coordinates, but she correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure correctly, but she should have identified the figure as a pentagon.
Clara drew the figure with the wrong coordinates, and she should have identified the figure as a pentagon.

Answers

Answer:

The given polygon has 4 vertices and, 4 non-parallel and non equal sides. So the given polygon is a quadrilateral.

Step-by-step explanation:

The given vertices of are (–2, 4), (5, 4), (3, –3), and (–2, 0).

i found this on web

Answer:

The answer is A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.

Step-by-step explanation:

Please answer quickly 14 points for it :)

Answers

Answer:

0.65, 2.05, 2.56, 5.06, 5.62

Answer: 0.65, 2.05, 2.56, 5.06, 5.62.  

do's and donts in handling measuring tools

Answers

Here’s your answer mate :

Answer:

I need answer too

Pleaseee help us

a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bill?

Answers

Answer:

8.48%

Step-by-step explanation:

Given that,

The estimated bill = $480

Actual costing of the bill = $524.50

We need to find the percent error in the bill. It can be calculated as follows :

[tex]\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%[/tex]

So, the percentage error in the bill is 8.48%.

Jordan ran around a circular track with a diameter of 70 m. How far did Jordan run?

Answers

uhhh pretty far lol

Answer:

Try your best! You can do it! I know you can! :) But sorry I can't help.

Step-by-step explanation:

which word describes the slope of line ?

Answers

The slope of this line is zero.

Supriya is writing a recursive function for the arithmetic sequence:

-11, -6, -1, 4,

She comes up with:

t(0)=-11

t(n)=t(n-1)+5


What domain should Supriya use for t so it generates the sequence?

A n≥0, is greater than or equal to, 0 where n is an integer

B n≥0, is greater than or equal to, 0 where n is any number

C n≥1, is greater than or equal to, 1 where n is an integer

D n≥1, is greater than or equal to, 1 where n is any number

PLZ i need this urgently

Answers

Answer:

A. n ≥ 0, is greater than or equal to, 0 where n is an integer

Step-by-step explanation:

Given AP with the sequence:

-11, -6, -1, 4, ...

and the recursive formula:

t(0)= -11 t(n) = t(n - 1) + 5

Supriya used n = 0 as the start point, the following points are 1, 2, 3, ... and so on

Correct answer choice is A

Answer:

A) n > 0 where n is an integer

Step-by-step explanation:

what is the answer to (x-1)+(2x+3) ?

Answers

Answer:

3x + 2

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

Get rid of the parentheses:

(x−1)+(2x+3)

x−1+2x+3

Add up the numbers:

x−1+2x+3

x+2+2x

Combine like terms:

x+2+2x

3x+2

Look at this expression.
-3xfy
x3y2
Which of the following is the simplest form of this expression?
OA
-3x²y2
ОВ. -3x?у?
Ос. -3°у?
OD. -3x® yo

Answers

Answer:

‐3×2y2 is the most common correct answer

The height of a standard coffee cup

would be about

7 meters

B

7 kilometers

7 centimeters

D

7 millimeters

Answers

Answer:

7 centimeters

Step-by-step explanation:

Standard size of a coffee cup is 7 centimeters

7 meters is too big

7 kilometers  is bigger than 7 meter

7 millimeters is too small

Other Questions
What event in U.S. history is depicted in the timeline? cual es el derecho mas vulnerado en el mundo ? i poured him a ......glass of juice ( fill adjective What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ? Can you guys give a Ratio problem for my class? Which are the countries that fought for football 3. Choose three from the following list of words and explain:a. Sonata Allegro Formb. Classical Operad. Open Buffae Themes and variationsc. Opera Seria12.3. Which of the following sentences from "Georgia: A Desirable Home" provides the BEST evidence of conflictingviewpoints?After the Revolutionary War, Georgia was the fourth state to approve the United StatesConstitutionBMany of the new state leaders wanted to convince Native Americans to leave the land inorder to make it available for settlement,President Thomas Jefferson intended to use the land for relocating Native Americans, butmost rejected his plan.DThis caused the Cherokee to divide into two groups, those who wanted to move and thosewho wanted to continue to fight for their homes. Jade has 3 3/8 pounds of potatoes she cooks 7/8 pound of potatoes how many pounds of potatoes does she have left solve the equation (3x-5)=16with working= Math page 340 what number would you multiply the dividend and divisor by to make 5.72 divide 0.52 easier to divide? 3g(x) - 2f(x) hi[tex]3g(x) - 2f(x)[/tex] Determine the period it wants an expression. What do you see from that tape diagram? 4 copies of? will equal 76? I know 4x19=76, but there is a variable and a constant shown. That is what they want you to say. what 2 countries were at an advantage during ww1 h e l pMost state governors, like the President of the United States, have the option to __________ a bill, which means they can eliminate certain lines from a bill with which they disagree.A.vetoB.signC.pocket vetoD.line-item vetoPlease select the best answer from the choices providedABCD Savannas cover nearly half of Africa. Many animals are living there. since joining word How did the political structure of the African continent change between 1880 and 1914? Which of the following statements is an example of a personal skill:a. I volunteer in my communityb. Im a really good cookc. I like being outsided. I love learning new things Who invented moving pictures?1. Marconi2. Fessenden3. Edison4. Bell