Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewable area is 5,550 square meters.

Answers

Answer 1

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]


Related Questions

i neex help on a equation ​

Answers

Answer:

-24a^10

Step-by-step explanation:

Given the equation −4a^5⋅6a^5

This can also be written as

−4a5⋅6a^5

= (-4*6)(a^5*a^5)

= -24(a^{5+5})

= -24a^10

Hence the required expression is -24a^10

Which expression is equivalent to 6/7 divided by 3/5 ?

A. 6/7 x 5/3

B 6/7 x 5/3

C 7/6 divided 3/5

D 5/3 divided 6/7​

Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

Which of the equations below has no solution?

Answers

The last choice.

I have solved all of the problems and the last choice is the only one that has no solution.

Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):

r = m + 5
r = 4m – 10

Which is the correct method to find Rose's and Milton's ages?

Answers

substitute it in and make it m+4=4m-10

"Percent" translates to "per 100."

true or false

Answers

Answer:

true

Step-by-step explanation:

percent means in every hundred so the statement is indeed true

Answer:

I think it would be true

Step-by-step explanation:

PLEASE HELP ME
At a digital store, Jay paid a total of $31.35 for games and movie rental. He rented 6 games at $3.99 each game and 3 movies.

How much did Jay pay per movie?

$23.94
$3.48
$7.41
$2.47

Answers

Answer: 2.47

Step-by-step explanation:

6 times 3.99 is 23.94

31.24 minus 23.94 is 7.30

2.47 times 3 is 7.30

I think it is 2.47$

I need help fast!!!!!!​

Answers

Answer:

Z= 180 X = 95   y= 147

Step-by-step explanation:

Z=180 because it is a line and when it is a line it = 180 degrees

for X you want to first find the angle of the other triangle and when you do you subtract that # from 180 because those 2 angles make a line

to find that angle next to X is...

180- (the other 2 angles in the triangle)

180- 45- 50

180-95

85 degrees

now do

180-85

95 degrees   -- this is what X =

now you want to find the angle that is left in one triangle

so do

180- 95- 52

180- 147

33 degrees -- the angle that was missing

to find Y do...

180- 33

147 degrees -- this is what Y =

the distance from the center of a square to a side is 4 yd. find the perimeter of the square

Answers

4th grade math HAHAHAHAHHAAA your too young for brainly ima report you  ✋✋✋

An airplane descends 2.7 miles to an elevation of 8.35 miles. Find the elevation of the plane before its descent.

Answers

11.05

You would add these two numbers to find what the started at because the inverse of subtraction is addition.

I need help ASAP!

Please help me!!

Answers

1) x axis is the line on the bottom (horizontal line)
2) y axis is the line that goes vertically
3) origin is (0,0)
4) A is the dot that is height is the middle. B is the highest dot. C is the lowest dot
5) (4,6)
6) (2,9)
7) (0,4)
8) the correct ordered pair is (7,3) because it is (x,y) and allie switched between the two

1. The X axis is the line going left and right

2. The Y axis is the line going up and down

3. The origin is the point where the X and Y axis meet; (0,0); by the 0

4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C

5. (4,6)

6. (2,9)

7. (0,4)

8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)

log(x+4)=logX + log4

Answers

Answer:

log

(

x

+

4

)

=

log

(

x

)

+

log

(

4

)

=

log

(

4

x

)

, so  

x

+

4

=

4

x

, hence  

x

=

4

3

Step-by-step explanation:

Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun.​

Answers

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Answer:

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Step-by-step explanation:

If you were asked to round the number 9.6173 to the nearest hundredths place, how many digits would you have after the decimal point?

Answers

You would have 2 numbers after the decimal so it would become 9.62 because you would round up the 1 to 2 because there is a 7 after it

Answer: I don't think you would move it

Step-by-step explanation: let me know if I'm wrong

What shape is figure b?

Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid

Answers

Answer:

Cylinder

Step-by-step explanation:

Figure b is cylinder.

Answer:

sphere

Step-by-step explanation:

The volume of a cylinder is 54π cubic inches and the height is 6 inches. Find the radius.

Answers

Answer:

The radius of the cylinder is 3 inches.

Step-by-step explanation:

For any given cylinder, the volume can be expressed as:

volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius of its circular surface, and h is its height.

Given that: volume = 54π cubic inches, and the height = 6 inches.

then,

54[tex]\pi[/tex] = [tex]\pi[/tex] x [tex]r^{2}[/tex] x 6

54[tex]\pi[/tex]  = 6[tex]\pi[/tex][tex]r^{2}[/tex]

[tex]r^{2}[/tex] = [tex]\frac{54\pi }{6\pi }[/tex]

   = 9

r = [tex]\sqrt{9}[/tex]

r = 3

The radius of the cylinder is 3 inches.

The cost to mail a package varies directly to the weight of the package. If a 14- ounce package costs $4.48 to mail, find the weight of a package that cost $8 to mail. ​

Answers

Answer:

Step-by-step explanation:

Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).

You should get 0.32.

Now just multiply by 8 and you should get your answer. This answer is 2.56.

Answer:

2.56

Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.

Answer:

2.56

Ti⊂k∫∈s ω∅∅p

equivalent to 0.13
?

Answers

Answer:

13/100 or 13% is equivalent to 0.13

Step-by-step explanation:

hope this helps

The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank

Answers

The difference in the lowest amount of water and the highest amount of water students drank is 1/2

How to determine the difference?

From the complete question (see attachment for line plot), we have:

Least = 1/8

Highest = 5/8

The difference is then calculated as:

Difference = Highest - Least

This gives

Difference = 5/8 - 1/8

Evaluate

Difference = 4/8

Simplify

Difference = 1/2

Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2

Read more about line plots at:

https://brainly.com/question/15853311

#SPJ4

0.25(4x - 4) = 2x + 1

Answers

Answer:

x=-2

Step-by-step explanation:

Divide. Write your answer in simplest form.
7/10 divided by 5/16

Answers

Answer:

[tex]\frac{56}{25}[/tex]

Step-by-step explanation:

Exact Form:

[tex]\frac{56}{25}[/tex]

Decimal Form:

2.24

Mixed Number Form:

[tex]2\frac{6}{25}[/tex]

______________________

Give Me Brainllest

If f(x) = -8x - 4 and g(x) = x+3 which statement is true?

Answers

Answer:

Step-by-step explanation:

F(x)=-8x-4. G(x)= x+3

-8x-4-x-3=-9x-7

Can someone plz help

Answers

Answer:

x=43

Step-by-step explanation:

Answer:

x = 34°

Step-by-step explanation:

(x + 7) + (63° + (2x + 8) = 180°

combine like terms:

3x + 78° = 180°

subtract 78 from each side of the equation:

3x = 102°

divide both sides by 3:

x = 34°

Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

     =(π × 8 × 17) + (π × 8²)

     = 136π + 64π

     = 200π cm²

Answer:

in the right angle triangle,

p=15cm

b=8cm

[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]

Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?

Answers

It’s 5 because we put the numbers in order

Plot the graph for the equation2y+6=0 , and then select the matching graph below.

Answers

Answer:

y = -3

Step-by-step explanation:

2y + 6 = 0

2y = -6

y = -3

Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.

So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)

Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also buying two $1.50 candy bars and a $2.00 drink for a total of $57.50. Write an equation to find the price of one video game.

Answers

Answer: 3x + 5 = 57.50

Step-by-step explanation:

Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:

= 3x

His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:

= 1.50 + 1.50 + 2.00

= $5.00

The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:

3x + 5 = 57.50

find the value of x
−9(10+x)=−243

Answers

Answer:

x = 17

I think this is the value for x

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Answers

Answer:

D

Step-by-step explanation:

If f(x)= 9x^2+2x-3, find f(-1).

Answers

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?

Answers

Answer:

[tex]F'G' = 7[/tex]

Step-by-step explanation:

Given

[tex]F = (-2,4)[/tex]

[tex]G = (-2,-3)[/tex]

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

TranslationReflection

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

[tex]F'G' = FG[/tex]

Calculating FG, we have:

[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]

[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]

[tex]FG = \sqrt{0 + 49}[/tex]

[tex]FG = \sqrt{49}[/tex]

Take positive square root

[tex]FG = 7[/tex]

Recall that:

[tex]F'G' = FG[/tex]

[tex]F'G' = 7[/tex]

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