A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

____meters by ___ meters

Answers

Answer 1

Answer:

18 meters by 9 meters (or 9 meters by 18 meters)

Step-by-step explanation:

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters


Related Questions

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?

Answers

Answer:

  C

Step-by-step explanation:

The first equation has a y-intercept of -3. Only one line does.

The second equation has a y-intercept of +1. Only one line does.

The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)

Find the surface area of the following prism.

Answers

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint

Answers

Answer:

do you have any image of the question? If yes please pose here.

Answer:

See below:

Step-by-step explanation:

I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.

Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y

please tell me the answer and explain how you got it thanks

Answers

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a.   x + y = 23

     x - y = 7

b.  Adding the 2 equations eliminates y, so we have

     2x = 30

        x = 15.

     Substitute x = 15 in equation a:

      15 + y = 23

         y = 23 - 15

        y =  8.

       Answer x = 15, y = 6.

Step-by-step explanation:

this is what you are told in the problem

x+y=23............1 (the sum)

x-y=7.................2 (the difference)

PS make sure to number your equations

in equation 1 we can take x over so that we form a new equation labelled equation 3

y=23-x...........3

sub 3 into 2

x-(23-x)=7

x-23+x=7

2x=7+23

2x=30

x=15.........4

sub 4 into 1

15+y=23

y=23-15

y=8

Evaluate each expression. 16^-3/2

Answers

16^-(3+1/2)

This is correct :)

Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.

Answers

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

The answer you are looking for is C. 2/3

Step-by-step explanation:

because if it was 4/6 reduce to make 2/3.

hope this helps! please give brainlyist :D

Answer:

2:3

Step-by-step explanation:

did it

An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?

Answers

Answer: 112 rows

2800/25 spaces = 112 rows

Please answer number 1 and 2.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.
please help me

Answers

Answer:

B and E are the only correct answers.

Step-by-step explanation:

The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14

Then multiply by the height  3.14 * 5 = 15.7 cubic inches

The middle can's diameter is 5 inches so the radius is 2.5.

3.14 * 2.5^2 = 3.14 x 6.25 = 19.625

Multiply by the height 19.625 * 3 = 58.875 cubic inches

The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26

Multiply by the height 28.26 * 2 = 56.52 cubic inches

15.7 + 58.875 + 56.52 = 131.095

B and E are the only correct answers.

sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?

Answers

Answer:] ):::::::::::

Step-by-step explanation:


Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?

Answers

Answer

320

Step-by-step explanation

150 + 10 = 160

160 * 2 because it said than half the amount he received last year = 320!

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

it’s the last one with this < symbol pointing in that direction towards the 60 with the line under it, the symbol means greater than or equal to and in the context of the problems all riders must be 60 inches or taller, so h, their height, should be greater than or equal to 60
it’s the third one. the height of the person must be 60 inches or taller which means the 60 is included and any value past that is also included.

wich is greater 45%, 1/2, 0.55

Answers

Answer:

0.55

Step-by-step explanation:

45/100 = 0.45

1/2 = 0.50

Answer:

0.55 is the biggest

Step-by-step explanation:

45% can be converted to 0.45

1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)

0.55 is already done for you, so there is nothing to do here.

Therefore, the biggest is 0.55

Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

Answers

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run').  Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8.  Any line parallel to this one has the same slope:  m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8  that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.

units?

Answers

Answer:

3.14 or pi

Step-by-step explanation:

the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle

this is 1/4 of the circle, so it would be 1/4 (pi * r²)

it shows that the radius is 2, so you have

1/4 ( pi * 2²)

= 1/4 ( pi * 4 )

= 1/4 (3.14 * 4)

= 3.14 units²

How much material do you need to make two back pockets?

Answers

10 square inches to 16

Please help i've been stuck on this for awhile now-

Answers

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  [tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III

Answers

Answer:

1,11,111 I don't know how I know it I just know it

y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me

Answers

Answer: x = - 7 I’m not sure though

I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!

Answers

Answer:

Step-by-step explanation: there you go

What’s the Pythagorean therorimm

Answers

Answer:

38.29 i think

Step-by-step explanation:

The Pythagorean theorem is A^2+B^2=C^2

For your problem you would do 29-7 as we are trying to find X. So we need to create a right triangle in order to do this.
Now we have two out of the three sides, 25 and 22.

25^2= 625

22^2= 484

Now add them 625+484=1109

Now find the square root of 1109

33.301651 (round to whatever decimal point as needed)

If 3 cans of beans cost 90¢, how many can you buy for $2.70?

If you can buy 10 juice packs for
$3.00, how much will you spend to
buy 4 juice packs?

Answers

9 cans and 13.25 cents

Simplify this expression
4X^2y^3 x 2x^3y^4

Answers

Answer:

8^5^7

Step-by-step explanation:

Multiply the numbers:

4X^2 y^3 x 2x^3 y^4

8^2 ^3 ^3 ^4

Combine Exponents:

8^2 ^3 ^3 ^4

8^5 ^3 ^4

8^5 ^3 ^4

8^5 ^7

Mr Brown bought TV for a total money of 20000 including VAT of VAT is 15% then find the original price of the tv​

Answers

Answer:

17,391.30

Step-by-step explanation:

original is always 100%.

if 115% = 20000

wat of 100%= ?

crossmultiply to obtain 17,391.30 as the original price.

Will give brainliest and 100 points if you answer correctly plz help!
Write the sentence below as an equation or inequality.

Craig has six less than half of the amount of dollars Bo has.

Group of answer choices

x
=
y
2

6


x
=
6

y
2


x
=
2
y

6


x
=
6

2
y


Flag question: Question 2
Question 21 pts
Write the sentence below as an equation or inequality.

To be flagged in a system you need to either score less than ten points, or greater than one hundred points.

Group of answer choices

10
<
x
<
100


10

x

100


10

x

100


10
>
x
>
100


Flag question: Question 3
Question 31 pts
Simplify:


5
x
3
+
6
y
2
+
8
x
3

6
y

Group of answer choices

3
x
3
+
6
y
2

6
y



3
x
3
+
6
y
2

6
y


11
x
3
+
6
y
2

6
y



11
x
3
+
6
y
2

6
y


Flag question: Question 4
Question 41 pts
Simplify:

3
x
5
+
4
x
2

8
x
5
+
3
x
2

8
x

Group of answer choices

5
x
5
+
7
x
2

8
x



5
x
5
+
7
x
2

8
x


5
x
5

7
x
2

8
x



11
x
5
+
7
x
2

8
x


Flag question: Question 5
Question 51 pts
Solve:

8
x
+
2
(
3
x

5
)
=
18

Group of answer choices

x = -2

x = -1

x = 1

x = 2

Flag question: Question 6
Question 61 pts
Solve:

(
4
x
+
5
)
5
=
9

Group of answer choices

x = -10

x = -5

x = 5

x =10

Flag question: Question 7
Question 71 pts
Write the inequality that represents the solution set to the given inequality below.


8

x

2

10

Group of answer choices

4

x


5



4

x

5


4

x


5



4

x

5


Flag question: Question 8
Question 81 pts
Write the inequality that represents the solution set to the given inequality below.

|
x

3
|
<
15

Group of answer choices

12
<
x
<

18



12
<
x
<
18


12
>
x
>

18



12
>
x
>
18


Flag question: Question 9
Question 91 pts
Determine if the relation below is a function.

(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)

Group of answer choices

Yes, this relation is a function.

No, this relation is not a function.

Flag question: Question 10
Question 101 pts
Determine if the relation below is a function.

(-5,1) ; (3,1) ; (5,1) ; (2,1)

Group of answer choices

Yes, this relation is a function.

No. this relation is not a function.

Answers

Answer:

Step-by-step explanation:

The answer options are too confusing to decipher.  Here are my solutions:

1.  Craig(x) has six less than half of the amount of dollars Bo(y) has.

 x = (1/2)y - 6

Questions 2  through 8 are either missing the statement or are too difficult to interpret.

9.  Not a function since there is more than one solution to x=-3.

10.  Yes, the function is y = 1

Answer:

Step-by-step explanation:

this makes no sense but okay

Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.

The answer is 115,324 m^2, show how you got your answer please. :))

Answers

Answer: 115,324 m^2

Step-by-step explanation:

To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).

In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)

Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.

1/2 (220)(152) = 16,720 m^2

Since there are four triangle faces, we need to multiply this number by four.

16,720(4) = 66880 m^2.

Now we just have to add this to the area of the square base which is:

(220)(220) = 48400 m^2

66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)

Which graph shows the solution to the system of linear inequalities?

y ≥ 2x + 1

y ≤ 2x – 2

Answers

Answer:

See below

Step-by-step explanation:

Given system:

y ≥ 2x + 1 y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ7

There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.

Answers

Answer:

75/200

Step-by-step explanation:

You can also simplify this.

How is 25:5 and 10:2 equivalent

Answers

Answer: yes !!

Step-by-step explanation:

first we have to simplify

25:5 = 5:1

10:2 = 5:1

yes, they are

When two ratios are in proportion the ratios are said to be equivalent.

The ratios 25:5 and 10:2 are equivalent because they are in proportion.

What is a ratio?

It is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

We have,

25:5 and 10:2

The ratio must be in proportion to be equivalent.

25:5 = 25/5 = 5 / 1

10:2 = 10/2 = 5/1

25:5 = 10:2

25/5 = 10/2

(5x5) / 5 = (5x2) / 2

5/1 = 5/1

We see that the ratio is equivalent.

Thus,

The ratios 25:5 and 10:2 are equivalent because they are in proportion.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

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