The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 yd, find its length and width.

Answers

Answer 1

Answer:

[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]

[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle ( l ) = 6w

Perimeter of a rectangle ( P ) = 140 yd

Finding the width of a rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]

[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]

[tex] \dashrightarrow{ \sf{w = 10}}[/tex]

Width of a rectangle = 10 yd

Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle

[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]

Length of a rectangle = 60 yd

Hope I helped!

Best regards! :D


Related Questions

find angle PBH and find the value of c

Answers

Answer:

Vertically opposite angles are angles that are formed opposite of each other when two lines intersect, and they are always equal.

Thus, Angle PBH is 118 degrees.

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

Finding the value of c:

[tex]3c+94=118[/tex]

Subtract 94 from both sides:

[tex]c+94-94=118-94[/tex]

[tex]3c=24[/tex]

Divide both sides by 3:

[tex]\frac{3c}{3}=\frac{24}{3}[/tex]

[tex]c=8[/tex]

Please help me with this one!! If the answer is correct I will mark it the best answer!

Anna and Jon were asked to solve the following inequality:

1- Jon was correct. And did not flip the inequality.

2- Anne was correct. Jon flip the inequality.

3- anne was correct Jon did not perform the inverse operation correctly

4- Jon was correct. Anne did not perform the inverse operation correctly

Answers

Answer:

Number two

Step-by-step explanation:

it took the test

Solve for s.
- 12s - 48 = -48

Answers

-12s=-48+48
S=(-48+48)/-12
S=0

Gere has 3 times as many shirts with print patterns as he does shirts in solid colors. He has a total of 16 shirts. How many shirts in print patterns does he have ?

Answers

Answer:

He has 12 print patterns shirt

Step-by-step explanation:

Here, we are interested in calculating the number of print colored shirts owned by Gere.

From the question, we are told that he has 3 times shirts with print colors as shirts with solid colors.

This means that if the number of solid colored shirt he has is x, then he has 3x print shirts

The addition of both is 16;

hence;

x + 3x = 16

4x = 16

x = 16/4

x = 4

Since number of print shirts = 3x; this means there are 3 * 4 = 12 print shy

k(t) = 13t – 2
k(3) =

Answers

Since t=3

What do have to do is just set it for 3.

13(3) -2

k(3) = 37

Choose two statements that are true for this expression.
423 – 7x2 – 30 + 15
A. The term – 3 is a ratio.
B. The entire expression is a difference.
C. There are three terms.
D. There are four terms.

Answers

Answer:

Options (A) and (D).

Step-by-step explanation:

Given expression is,

4x³ - 7x² - [tex]\frac{30}{y}[/tex] + 15

Characteristics of the give expression ,

Option (A).

Third term [tex]-\frac{30}{y}[/tex] of the expression is in the form a ratio.

True.

Option (B).

Entire expression is a difference.

False.

Option (C).

There are three terms.

False.

Option (D).

There are four terms in the given expression.

True.

Therefore, Options (A) and (D) will be the correct options.

If the relationship is proportional, what is the missing value from the table? x / y 8 / 6 16 / ? 24 / 18 answers under here! 8,a 9,b 12,c 14,d ADD ANSWER

Answers

The correct option is Option C: the missing value is 12.

What is the directly propotional?

In directly proportionality, if one quantity increases then the other quantity also increases. if one quantity decreases then other quantity also decreases.

x ∝ y

⇒ x= ky

where k is proportionality constant.

Here the value x1, y1 is given by

x1=8

y1=6

as x1 is directly proportional to y1.

x1 = ky1

⇒8=6k

⇒k= 8/6

⇒k =4/3

If x3= 24 then x3 =ky3

⇒24=(4/3)y3

⇒y3= 24/(4/3)= 18 which is true from the table

Then given in the question x2=16

As x2 is directly proportional to y2.

x2 ∝ y2

⇒ x2 =ky2

where k= 4/3

⇒ 16 = (4/3)y2

⇒ y2= 16/(4/3)

⇒y2= 16*3/4

⇒y2= 12

The correct option is Option C: the missing value is 12.

Learn more about proportionality

here: https://brainly.com/question/24868934

#SPJ2

I need help on everything

Answers

Answer sheet:

#10 Answer: 22* and 68* (* is the degrees sign)
b= 3c+2
4c+2=88
c=22 degrees

b=3(22)+2
=66+2
b= 68 degrees

What is 4(2x+7)=12-2(10-2x)

Answers

Answer:

x=-9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4x from both sides.

Step 4: Divide both sides by 4.

A resort hotel in Scottsdale, AZ charges $1800 to rent a reception hall, plus $58 per person for dinner and open bar. The reception hall can accommodate up to 200 people. a) Write a function, T, to represent the total cost to rent the reception hall if n people attend the reception.

Answers

Answer:

T(n) = 1800 + 58n

Step-by-step explanation:

Rent reception = $1800

Charge per person = $58

Number of person who attend reception = n

Total cost = fixed cost + variable cost

Fixed cost = 1800

Variable cost = 58n

Total cost = T(n)

Total cost = fixed cost + variable cost

T(n) = 1800 + 58n

What is the equation for the line that goes through the point (-3,-1) and has the slope of -1/3

Answers

[tex]y = {x}^{2} + 4x + 3[/tex]

what is 15% of 1000? Stuck on the problem

Answers

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

For each equation, state whether there is no solution, one solution, or infinitely many solution. Explain your reasoning. A: 3x - 6 = 3(x - 1) - 3 B: 2x + 7 = - 2x + 7 C: 2x + 7 = 2x

Answers

Answer:

A: Infinite

B: One

C: No Solution

Step-by-step explanation:

Equation A:[tex]3x-6=3(x-1)-3\\\\3x-6=3x-3-3\\\\\boxed{3x-6=3x-6}[/tex]

The sides are the same. This means that the equation has infinite solutions.

Equation B:[tex]2x+7=-2x+7\\\\2x+7-7=-2x+7-7\\\\2x=-2x\\\\2x+2x=-2x+2x\\\\4x=0\\\\\frac{4x=0}{4}\\\\\boxed{x=0}[/tex]

The equation has one solution.

Equation C:

[tex]2x+7=2x\\\\2x-2x+7=2x-2x\\\\\boxed{7\neq 0}[/tex]

The final result is a contradiction. The equation has no solution.

If a rocket travels at 30km/s then the distance traveled by it in one hour is _____ A. 1800 km B.1080 km C.108000 km D. 500 km

Answers

Answer: C

Step-by-step explanation:

30 km/s x 60 = 1800 (1 minute)

1800 x 60 = 10800 (1 hour)

Answer:

C.  108,000 km

Step-by-step explanation:

use distance = velocity x time

30  km x 3600 sec  x  1 hr

      sec         1 hr

= 108,000 km

[tex]\frac{2x+p}{q}=\frac{2x+q}{p}[/tex] if p=q & if [tex]p \neq q[/tex]

Answers

Answer:

Step-by-step explanation:hxuducuc

if sugarless gum sells at 2 pieces for $.25, then what would 10 pieces cost?

Answers

Answer:

Does this help

Step-by-step explanation:

10 pieces would cost $30  

Mabey I am wrong

Answer- 1.25
Explanation- Multiply .25 by 10= 2.5
Divide 2.5 by 2 to get 1.25
Hope that’s helps:)

6x-3=2x-1 8 what’s x equal

Answers

Answer:

1/2

Step-by-step explanation:

Subtract 2x from both sides

Add 3 to both sides

Then divide both sides by 4

x = (1/2)

Against the Lady Huskies, the Lady Bears scored 65 points on 30 field goals (2- and 3-point goals). How many 2-point goals and how many 3-point goals did they make?

Answers

Answer:

The team scored 25 2-point goals and 5 3-point goals

Step-by-step explanation:

Here, we are interested in calculating the number of 3 points and 2 points goals scored by the team

let the number of two point goals be x while the number of three point goals be y

The total goal number is 30;

Hence;

x + y = 30 ••••••(i)

Also, the total point is 65

point of two points goals is 2 * x = 2x

points of three point goal is 3 * y = 3y

Adding both;

2x + 3y = 65 ••••••(ii)

So we have two equations to solve simultaneously.

From 1, x = 30 -y

Now substitute this into ii

2(30-y) + 3y = 65

60 -2y + 3y = 65

y = 65 -60

y = 5

x = 30 - y

x = 30-5 = 25

|6|+|-2| what's the answer cuz ion know​

Answers

Answer:

8

Step-by-step explanation:

6|+|−2|

=6+|−2|

=6+2

=8

Which of the following is a polynomial?
A. 1 / +2
B. (*8 - 2)
(x4 +3)
C. A + x 4 + 16
D. x2 - 1

Answers

Answer: I really don't understand B. but i think the answer is C

HELP ASAP | A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (0) spots the bird (B) at a distance of 13,000 feet. What is the angle of
depression from the bird (B) to the observer (0)? (4 points)
T
5,000
00
13,000
o
a
22.70°
44.62
C
67.38°
d
68.96º

Answers

Answer:

[tex]x=67.38^\circ[/tex]

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then [tex]cos^{-1}(y)=x[/tex]

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

[tex]Cos(x)=\frac{5000}{13000}=\frac{5}{13}[/tex]

Now to solve for x, take the inverse cosine

[tex]cos^{-1}(\frac{5}{13})=x=67.38^\circ[/tex]

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

Helki has 3 blouses: red, white, and blue. She has 2 skirts: green and brown.
How many blouse-skirt combinations can she make?
A. 6
B. 5
Oc 10
OD 3
O E. &

Answers

Answer:The answe is 2 because ther are only 2 skirts

Step-by-step explanation:

19.86 - 4.94 please help i don’t u understand this

Answers

Answer:

14.92

Step-by-step explanation:

you basically add them. just like normal numbers but add the decimal point.

Answer:

14.92

You need to do like this:

19.86

-4.94

--------

14.92

write .11111 as a fraction in simplest form.

Answers

Answer:

11111/100000

Step-by-step explanation:

Good luck

I will give brainliest!!!!

Answer two questions about Equations AAA and BBB:


A.3x-1=7

B.3x=8

1) How can we get Equation BBB from Equation AAA?

Choose 1 answer:

(Choice A)
A
Multiply/divide both sides by the same non-zero constant

(Choice B)
B
Multiply/divide both sides by the same variable expression

(Choice C)
C
Add/subtract the same quantity to/from both sides

(Choice D)
D
Add/subtract a quantity to/from only one side

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

1. C

2. A

Step-by-step explanation:

Step 1: Write equation

3x - 1 = 7

3x = 8

Step 2: Use 1st equation and solve

3x = 8

x = 8/3

Step 3: Use 2nd equation and solve

3x = 8

x = 8/3

Both equations have equivalent solutions and the 2nd equation is the simplified version of the 1st.

Please Help me with this I've been trying to figure this out​

Answers

Answer:

angle FXG is congruent to angle IXJ or JXI. GHI is 81°

Step-by-step explanation:

Angle FXG is congruent to angle IXJ because the two are vertical angles. (Vertical angle theorem)

FXG + GXH = FXH

Substitute the given values given:

49 ° + GXH = 130°

Subtract 49 both sides

49 - 49 + GXH = 130 - 49

GXH = 81°

Write 0.54 as a fraction in simplest form.

Answers

Answer:

Convert to a simplified fraction by placing the numbers to the right of the decimal over  100 .

Reduce the fraction.

27 /50

Step-by-step explanation:

Answer:

27/50

Step-by-step explanation:

Take 54 and divide by 100 (54/100). The GCD of 54 is 2. When we divide the numerator and the denominator by 2 we get 27/50

The area of the star shaped surface of this block is 1.2m^2. The thickness of the block is 25cm. What is the volume of the block?

Answers

Answer:

volume = 0.30 m³

Step-by-step explanation:

GIVEN:

The area of the star shaped surface of this block is 1.2m^2.

The thickness of the block is 25cm.

FIND:

What is the volume of the block?

SOLUTION:

volume = area x length

where area = 1.2 m²;   length = 0.25 m

plugin values into the formula:

volume = 1.2 m² x 0.25 m

             = 0.30 m³

therefore, the volume of the star shaped block is 0.30 m³

x2 +__ x + 36 What should go in the blank?

Answers

It could be anything in reality. Do you need the zero's solved?Please specify the question properly.

ANS: 12,0,13

how do u do stat edit​

Answers

Answer:

The stat command has two options that allows you to customize the output according to your needs: -c, (--format="format") and --printf="format". The difference between these two options is that when two or more files are used as operants --format automatically adds a newline after each operand’s output.

Step-by-step explanation:

There you go!!!

Answer:

yoe left click twice and a menue comes up

Step-by-step explanation:

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