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

Express 2700 as a product of prime numbers or find the prime factorization of 2700 leaving
your answer in index form or notation

Answers

2700
27 100

9 3 10 10


3 3 2 5 2 5

answer

2^2 x 3^3 x 5^2

[tex]\sf 9\times 4\times 16=?[/tex]

Answers

You can use a calculator. Its faster
576

9
X4
_
36
X16
_
576

Yuri descended 450 feet down a

mountain. Her elevation changed at a

steady rate over 3 hours. What was her

change in elevation per hour?

Answers

The change is 150 because you would divide 450/3

Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?

Answers

Answer:

They have spent $75

16+14 = 30

30 x 2.50 = 75

Step-by-step explanation:

Which of these sets of angle measures could be the three angles in a triangle? a 40, 50, 60 b 50, 60, 70 c 60, 70, 80 d 70,80, 90

Answers

Answer:

It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.

It would be B because 50 + 60 + 70 is 180

*20 points* 7x + 24 = 2x - 6 How many solutions?

Answers

Answer:

x= -6

Step-by-step explanation:

so i'm thinking 1 solution.

(let me know if i'm wrong)

Answer:

infinitely many solutions.

Step-by-step explanation:

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has

I’m so bad at this I need to get this done ASAP NOW

Answers

Answer:

9

Step-by-step explanation:

The correct answer is A. 9

Explanation:

you need to make a common denominator, so multiply the left side by -3. then change to multiplication and flip the right side to -9/2. you will then multiply to get -162/-18 which equals nine.

please mark brainliest :)

Someone pls help me I will make you as brain

Answers

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)

Solve the inequality 5z+8≥-7

Answers

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

 

4 Simplify 15/5 to 3

z≥−3

Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product

Answers

Expressions are used to show relationships between variables and constants

The expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sumThe term [tex]\mathbf{\frac a8}[/tex] is a quotientThe term 6b is a product.

The expression is given as:

[tex]\mathbf{\frac a8 + 6b}[/tex]

In the above expression, a/8 and 6b are added.

So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum

In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.

So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient

Lastly, in 6b; 6 is multiplied by b.

So, the term 6b is a product.

Read more about expressions at:

https://brainly.com/question/22151679

Please help, I need answers!
Q1
Solve for x.
7(x + 5) - 6x = 55
50
20
60
90

Q2
c−1.5+6.8=0.6
Answer in a decimal please

Answers

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

solve 4 with exponent -4 without the exponent in other words

4 exponent -4 without exponent

Answers

Answer:

[tex] \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} = \frac{256}{1} = - 256[/tex]

Step-by-step explanation:

I dont know if I'm right or not

but this is how I learned it

3/4(x-16)=2(x-3) +4 what is x equal to

Answers

Step-by-step explanation:

[tex]\tt{} \frac{3}{4} (x - 6) = 2(x - 3) + 4[/tex]

[tex]\tt{} \frac{3}{4} x - \frac{9}{2} = 2x - 6 + 4[/tex]

[tex]\tt{} \frac{3}{4} x - \frac{9}{2} = 2x - 2[/tex]

[tex]\tt{}3x - 18 = 8x - 8[/tex]

[tex]\tt{}3x - 18 = - 8 + 18[/tex]

[tex]\tt{} - 5x = 10[/tex]

[tex]\tt{}x = - 2 \\ \\ [/tex]

Answer:

x=-8

Step-by-step explanation:

3/4( x -16) = 2 ( x- 3) +4

3/4x - 3/4*16 = 2x - 6 + 4

3/4 x -12 =2x -2

-2x = -2x

________________

-5x/4 -12 = -2

+2 = +2

_____________

-5x/4 = 10

x=- 10*4/5

x= -8

Two angles are supplementary. One angle is 40° more
than four times the other. Find the measures of the two
angles.

Answers

Answer:

Let x = the measure of the smaller angle

Let 3x + 40 = the measure of the larger angle

x + 3x + 40 = 180

4x = 140

x = 35º

3x + 40 = 3(35) + 40 = 145º

Step-by-step explanation:

NEED HELP ASAP!!
What is the measure of the angle

Answers

Hey! The measure of the angle is 127

The angle is a total of 180 degrees.

We have to find the total of what's in between the two blue lines.

To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from  53 to 180 individually.

Marco is 3 inches tall. There are 2.54 centimeters in 1 inch. What is marcos height in centimeters?

Answers

Answer:

The answer is 190.5cm

Step-by-step explanation:

o solve this problem, we first need to convert marco's height to inches.

there are 12 inches in 1 foot.

multiply.

notice how ft cancel out because they are in opposite positions of the fraction.

add 72+3 to get marco's height in inches.

marco is 75inches.

with this information, we can solve for his height in cm.

write an equation.

solve.

marco is 190.5centimeters

hope this helps!

-22 x (- 58/209) what the answer?!?!

Answers

Answer:

-22 x ( -58/209) = 116/19

Step-by-step explanation:

A father was three times as old as his son fifteen years ago and four times as old as his son nineteen years ago. When was the father twice as old as the son?

Please show the working clearly! ​

Answers

Answer:

The father was twice as old as his son when he (the father) was 62 years old.

Step-by-step explanation:

(Assuming s = current age:)

f = 3(s-15)

f = 4(s-19)

3s-45 = 4s-76

31 = s

Please help me asap!!!!!!!!

Answers

Answer:

7/4 and 3/8.

Step-by-step explanation:

You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.

Is 93.936 a rational number and can someone please explain how to know if it’s rational or not:)

Answers

Answer:

ofcs it's rational number

Step-by-step explanation:

this is bcs this number '93.936' do not contain recurring decimals

How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

Answers

Answer:

0.35

Step-by-step explanation:

Answer:

Just one

Step-by-step explanation:

Got it right on Edge 2022

-5x-9 is greater than or equal to -4

Answers

Answer x is less than or equal to -1

Step-by-step explanation:

-5x-9    -4

-5x-9+9    -4+9

-5x    5

-5x/-5x  5/-5

x less than or equal to -1

Answer:

x  [tex]\leq[/tex]  -1

Step-by-step explanation:

(-5x - 9) [tex]\geq[/tex]   -4

add 9 to both sides of the equation

-5x-9  [tex]\geq[/tex] -4

    +9      +9

--------------------

the -9 and +9 cancel out

-5x [tex]\geq[/tex] 5

then, divide both sides by -5 to get x

-5x  [tex]\geq[/tex]  5

------   -------

-5         -5

x  [tex]\leq[/tex]  -1

by the way, the sign changed from  [tex]\geq[/tex] to [tex]\leq[/tex] because we divided by a negative number to get x.      

Please answer the math problem... I will mark you brainliest

Answers

Comment has been deleted

The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers

Answers

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

x + 2x + 2x + 6 = 66

5x + 6 = 66

5x = 66 - 6 = 60

x = 60/5 = 12

x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

Express 0.7 as a fraction. A) 7 1 B) 1 7 C) 7 10 D) 7 100

Answers

Answer:

C) 7 10

Step-by-step explanation:

Answer:

g is your answer lolllllll

You drive for 8 hours at an average speed of 26 miles per hour. What is
the distance you travelled?

Answers

Answer:

208 miles

Step-by-step explanation:

8 hours multiplied by 26 miles per hour would be 208 miles

Answer:

first change 8 hours int

A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.

Answers

9514 1404 393

Answer:

x + y + z = 5002.50x +1.75y +3.20z = 1172.500x +y -z = 100

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Deandre has completed 68 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Deandre completed?

Answers

Answer:

a

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

68 divided by 80 is equal to 68/80.

Divide top and bottom by 4 to get 17/20.

17 divided by 20 is 85%

The figures are similar. Find x ,

Answers

Answer:

8 cm

Step-by-step explanation:

Hello there! :)

We are given that these figures are similar.

It means that the sides are proportional. So

[tex]\frac{4}{6} =\frac{6}{x}[/tex]

Cross-multiply:

4x=36

Divide both sides by 4 to isolate x:

x=9 cm

Hope this helps!

~Just a gloomy teen who misses her best friend

[tex]GraceRosalia :-([/tex]

Please help me ASAP!!!!!!!!!!!

Answers

Smallest 2-digit number: 23

3-digit number closest to 300: 276

Hope it helps you!            ✺               ✺             ✺         ✺          ✺        ✺           ✺

[tex]ANSWERED:\\GraceRosalia[/tex]

The smallest 2 digit is 23
Number closest to 300 is 376
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