The length of a rectangular building is 4 feet more than 3 times the width. The perimeter is 84 feet. Find the width and length of the building.

Answers

Answer 1

Answer:

Width=9.5, Length=32.5

Step-by-step explanation:

Let x be the width of the rectangle,

The length is 4 feet more than 3 times the width,

The length= 3x+4

The perimeter is

2(x)+2(3x+4)=84

2x+6x+8=84

8x=76

x=76/8

x=9.5

The Width=9.5

Length= 3(9.5)+4=32.5


Related Questions

If sinx=(-15)/17 with π≤x≤3π/2 and cosy=3/5 with 0≤y≤π/2, find the exact value of cos⁡(x-y)

Answers

Answer:

sin(x)=(-15)/17cos(x)=(-8)/17cos(y)=3/5sin(y)=4/5

[tex] →\cos(x - y) = \cos(x)\cos(y) + \sin(x) \sin(y) \\ =(\frac{ - 8}{17}\times \frac{3}{5}) +(\frac{ - 15}{17} \times \frac{4}{5}) \\ = \frac{ - 24}{85} + \frac{ - 60}{85} \\ = \frac{ (- 24) + ( - 60)}{85} \\ = \boxed{ \frac{ - 84}{85} }✓[/tex]

(-84)/85 is the right answer.

Is this correct if not can someone help me ?

Answers

Answer:

you are correct

Step-by-step explanation:

Because c is more than 60

Any help truly appreciated.​

Answers

Answer:

x= -2 y= 6

x= 0 y= 0

x= 2 y= 10

B. Orange

Step-by-step explanation:

2(-2×-2)+-2=6

2(0×0)+0=0

2(2×2)+2=10

This is for my little sister so halp .-_-.

Answers

Answer:

1x3=3

0.4x3=1.2

0.5x1=0.5

0.4x0.5=0.2

Step-by-step explanation:

_____________

3          !      0.5

______________

1.2        !        0.2

______________


Harold splits 1 7/8gallons of lemonade evenly among 5 cups. How many gallons of
lemonade does Harold pour into each cup?

Answers

Answer:

3/8 of a gallon

Step-by-step explanation:

1 7/8 divided by 5 = 3/8

8 - (-2) =
how do you rewright this as a addition problem

Answers

Answer:

8+2=10

Step-by-step explanation:

A negative minus a negative equals a positive. So 8-(-2) would go to 8+2

Answer:

8+2

Step-by-step explanation:

when you multiply a negative by another negative inside of the paranthesies it creates a positive

Samantha bought the fruit shown in the
table below

Answers

The answer is D :)))

Plz help get the right answer

Answers

Answer:

7x^(2)+4x-11

Step-by-step explanation:

2x-8 and -(10x^2+x+3)

please help i will mark branliest

Answers

Answer:

b-14.99=40.01

Step-by-step explanation:

He used 14.99 dollars so you have to subtract that from the total.

Answer:

Hi! The correct answer is b-14.99=40.01 and b=$55

Step-by-step explatnation:

~Move all terms not containing b to the right side of the equation~

If the sales tax rate is 8.25% how much would pay for an item that costs $24.00?

Answers

Answer:

$25.98

Step-by-step explanation:

8.25% of 24 = 0.0825 × 24 = 1.98

1.98 + 24 = 25.98

f(x) = 3x2 + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f + g)(x).

Answers

Answer:

B

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = [tex]3x^{2} +4x-6+6x^3-5x^{2} -2[/tex] = [tex]6x^{3}-2x^{2} +4x-8[/tex]

Does anyone know what this is?

Answers

Answer:

45°

Step-by-step explanation:

90÷2 = 45

the answer is H

explanation

90 divided by 2


Plz help 13 points

Answers

The image won't load for some reason

Answer:

she used 2,500 beef and she also had a lot of left over

Does the system shown always, sometimes, or never have a solution when a > b?
ax + y = 8
bx + y = 5

Answers

Answer:

always have a solution

Step-by-step explanation:

A linear equation in standard form is given by:

Ax + By = C, where A,B, C are real numbers and A,B is not equal to zero.

Two linear equations with equations Ax + By = C and Dx + Ey = F

Therefore the first equation becomes: (A/B)x + y = C/B and the second equation becomes (D/E)x + y = F/E ]

Both equations are said have a solution if A/B ≠ D/E, they have no solution if A/B = D/E and they have infinite solutions if A/B = D/E, C/B = F/E.

Given that:

when a > b

ax + y = 8

bx + y = 5

Since a ≠ b, but a > b, the system has a solution

Factor. (GCF)
24a + 12b - 30

6(4a + 2b - 5)
3(4a + 2b-5)
2(4a + 2b - 5)
All of the above.

Answers

Answer: 6(4a + 2b - 5)

Simplify the expression?

Answers

Answer:

D. (13 + 18t)

Step-by-step explanation:

(4-t)(2+5t) =

13 + 18t

Best answer is the last one.

Find the value of the following: 11!8!/12!6!

If your answer is not an integer, write it as an exact fraction.

Answers

Answer:

14/3

Step-by-step explanation:

[tex]\frac{11*10*9*8*7*6*5*4*3*2*8*7*6*5*4*3*2}{12*11*10*9*8*7*6*5*4*3*2*6*5*4*3*2}[/tex]

You have this huge fraction and basically what you do is you cancel out all the numbers that are on the top and the bottom so it would be:

[tex]\frac{7*8}{12}[/tex]

Now, you can just simplify this: 56/12 = 14/3

A theatre has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number of rows in the theatre

Answers

1200 divided by 20 is 60 therefore there are 60 rows in the theatre sorry if this is not how you wanted it i am new!

need help a lot of points

If a rectangle FGHI is dialted by a scale factor of 0.5 and the origin as it's center, what would be the corrdiants of F'?

A.(4,4)
B.(1,1)
C.(10,10)​

Answers

Answer:

A

Step-by-step explanation:

i got (4,4) so it may be A hope it help.

answer and i mark brainliest ok !!

Answers

Answer: Both

Step-by-step explanation:

Answer choice c both because they are both similar

WILL MARK AS BRAINLIEST FOR CORRECT ANSWER PLSSS

A bag contains only red marbles and blue marbles in the ratio of 3 red to 2 blue.

If there are 24 red marbles, how many blue marbles are there?

Answers

Answer:

16

Step-by-step explanation:

let the ratio be 3x and 2x

3x=24

x=8

then we have the value of x

2x

2×8

16

how do I do number 1​

Answers

Answer:

move each point (vertex) 2 units to the left and 1 unit up

20 pts

Given this diagram, find the value of n and m.

Answers

Answer:

n is 23 and m is 45

Step-by-step explanation:

Find the unknown side length x. Write your answer in simplest radical form.

Answers

Answer:

The answer is 40. The answer to the question provided is letter b.

-

Step-by-step explanation:

☆Solve using the pythagorean theorem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {30}^{2} = {50}^{2} \\ {x}^{2} + 900 = 2500 \\ \frac{ \: \: \: \: \: \: \: - 900 = - 900}{ {x}^{2} = \sqrt{1600} } \\ x = 40[/tex]


Mia's cat Boots just gave birth to a
litter of kittens. 1 of the kittens are
black and of the kittens are tabby.
What fraction of the kittens are
black or tabby? (Simplify your
answer and write it as a proper
fraction or a mixed number.)

Answers

I need to know how many kittens there are sorry

please help it would mean so much! Which of the following linear equations passes through points (-1, 5) and (1, -5)?
y = -5x
y = 5x + 10
y = -2x + 3
None of these choices are correct.

Answers

None of these choices are correct
non of these choices are correct

can anyone answer 5+2(5x-7)+x and show the work please

Answers

Answer:

11x-9

Step-by-step explanation:

5+2(5x-7)+x=5+10x-14+x

                   = 11x-9

Answer:

-9+11x

Step-by-step explanation:

5+2(5x-7)+x

multiply (5x-7) by 2

5+ 10x-14+x

add like terms

-9+11x

PLEASE ANYBODY HELP ME PLEASE I BEG OF YOU!!

Randall is saving money to buy a bicycle. He has 37.80 in his savings account and saves 20% of his paper route earnings each week. After 10 weeks, he has $87.80 in his savings account. How much does Randall earn each week from his paper route

Answers

in 10 weeks he saved: 87.8-37.8= $50

so each week he saves 50/10= $5

So every week he earns 5*100 / 20= $25

A movie theater sends out a coupon for 25​% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation is y =__
​(Use integers or decimals for any numbers in the​ expression).

Answers

Answer:

Step-by-step explanation:

x-the original price

y- the discounted price

y= the original price - 25 % discounted from x  = x- (.25*x) = x( 1-.25) = .75x

equation is y= .75x

The equation should only be in the first quadrant because the prices can only be positive numbers.

A lifegaurd recieved 15 hours of training 10 hours of first aid trainning and 10 cardioplumary resurection what is the ratio

Answers

Answer:

10/15 ten over 15 like a fraction you need to simplify that to 2/3 two over threep explanation:

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