the length of a rectangle is 1 1/8 cm longer than the width. The perimiter of the rectangle is 13 1/4 cm. What are the width and length?

Answers

Answer 1

Answer:

Length = 3 7/8cm

Width  = 2 3/4 cm

Step-by-step explanation

Let the length of the rectangle by L

Let the width be W

If the length of a rectangle is 1 1/8 cm longer than the width, then;

L = W + 1 1/8

L = W +9/8

perimeter of the  rectangle = 2(L+W)

perimeter of the  rectangle = 2(W + 9/8 + W)

13 1/4 = 2(2W + 9/8)

53/4 = 4W + 9/4

4W = 53/4 - 9/4

4W = 44/4

4W = 11

W = 11/4

Hence the width of the rectangle is 11/4 or 2 3/4 cm

Recall that L = W + 9/8

L = 11/4 + 9/8

L = (2(11) + 9)/8

L = 31/8

L = 3 7/8cm

hence the length is 3 7/8 cm

Answer 2

Answer:

Length = 3 7/8cm

Width  = 2 3/4 cm


Related Questions

What is the 117th term in the sequence 1,5,9,13,...

Answers

Answer:

the 117th number value is-->582

Answer:

465

Step-by-step explanation:

You can do 4n-3 as the equation and you get 4x117=468-3=465

I know it's correct because I had this question before :)

My last math question! I need help. I'm not good at math so I'm relying on who ever do this to do so correctly!!!!

Answers

Answer:

c

Step-by-step explanation:

What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5

Answers

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

If x + 2y = 1, and 2x + y = 5, then x + y = ?
A.1 B.2 C.3 D4 E.5

Answers

I’m pretty sure it’s A

Which Expression is equivalent to (2^3)^-5?
1/2^15
1/2^8
2^8
2^15

Answers

Answer:

Answer: 1/2^15

Step-by-step explanation:

Hope this helped

HELP ON ME-I NOT GET THIS PROMBLE PLEASE

Answers

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3                        

Does anyone know why I only got 2/3 marks, and can you explain how to get 3 marks please. Please answer.

Answers

Answer:

294cm²

Step-by-step explanation:

You didn’t convert from meters to centimeters.

It was 2.94m².

That equals 294cm².

lee spent $26.85 for 3 yards of material what was the cost of 9 yards?

Answers

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

The diameter of the circle above is 8 cm. What is the circumference of the circle? (Use = 3.14.)

Answers

Answer:

i think it's 25.12.

Step-by-step explanation:

because you multiple 2x3.14×4

Solve for x. Round to the nearest tenth if necessary (will give brainliest please help!!!)

Answers

Answer:

41,1 I installed the solution. good work

Can Someone please help

Answers

The answer would be x= 3
(If you’d like me to explain I can)

Hope this helps

Have a great day/night

Find the value of x and y

Answers

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

Please help and show workings

Answers

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

[tex]m\angle A=95^\circ[/tex]

[tex]m\angle C=(4x-15)^\circ[/tex]

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

[tex]m\angle B=m\angle C=(4x-15)^\circ[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+\angle C=180^\circ[/tex]

[tex]95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ[/tex]

[tex](8x+65)^\circ=180^\circ[/tex]

[tex](8x+65)=180[/tex]

On further simplification, we get

[tex]8x=180-65[/tex]

[tex]8x=115[/tex]

[tex]x=\dfrac{115}{8}[/tex]

[tex]x=14.375[/tex]

Therefore, the value of x is 14.375.

A doorway is 8 feet high and 4 feet wide. a square piece of plywood needs to be moved through the doorway the plywood is 10 feet long and 10 feet wide. Will the piece of plywood fit through the door if it is tilted diagonally?

Answers

Answer: No, because the length of the diagonal is close to 9 feet.

Step-by-step explanation:

-3x+6<27?

Solving Linear Inequalities.

Answers

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

math!!!!!!!!!!!!!!!!!!

Answers

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

So Simply add them together and you will get 24.

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

Step-by-step explanation:

In the expression 12a + 5, identify the coefficient. MARKING BRAINLIST!

Answers

Answer:

12

Step-by-step explanation:

The coefficient is the number that comes before variables. In this case, there is only one variable so it is 12.

I hope this was helpful, and if my answer was correct, please mark this as brainliest! Thank you!

Answer:12is the coefficient of a

Step-by-step explanation:

0.75x — 13 = 2
What's the value of x

Answers

Answer:

The value of x is 20.

Step-by-step explanation:

The steps are :

0.75x - 13 = 2

0.75x = 2 + 13

0.75x = 15

x = 15 ÷ 0.75

x = 20

Solve for x. Then find the side lengths of the triangle. If needed, round to the nearest tenth of a foot.
40 ft
Bx ft
6x ft
side lengths =
ft and

Answers

Answer:

The side lengths are 17.9 feet and 35.8 feet

Step-by-step explanation:

Given lengths are;

40 feet, 3x feet and 6x feet

As the given triangle is right angled,

a = 3x, b = 6x and c = 40

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(3x)^2+(6x)^2=(40)^2\\9x^2+36x^2=1600\\45x^2=1600\\[/tex]Dividing both sides by 45

[tex]\frac{45x^2}{45}=\frac{1600}{45}\\x^2=35.55[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{35.55}\\x=5.96[/tex]

Side lengths = 3x = 3(5.96) = 17.9 feet

and

6x = 6(5.96) = 35.8 feet

Hence,

The side lengths are 17.9 feet and 35.8 feet

Answer:

x=6

Sides= 36 & 18

Step-by-step explanation:

Given: AD || BC and AD ≅ BC
Prove: AB || CD

Answers

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

x^3 - x^2 + x / x^3 + 1 simplified

Answers

I think it’s x+1x^3... not sure if this helps

Graph the following system:
y=5x+ 3
Y=1/3x-3

Answers

Answer:

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

here's a tip if u have questions asking about grapihing those kinds of questions

use desmos graphing calculator it really helps and all u do is insert the equation and it graphs it for uu

hope this helps!!

What is the value of z?

Answers

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex]  = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

Item 3:

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

                   

Which graph represents the solution set of the inequality 3x + 2y < 4?

Answers

Answer:

the answer is B any questions

As an estimation we are told 5 miles is 8 km.
Convert 70 miles to km.
km

Answers

Answer:  112 km

=====================================================

Work Shown:

(5 miles)/(8 km) = (70 miles)/(x km)

5/8 = 70/x

5*x = 8*70 ... cross multiply

5x = 560

x = 560/5 .... divide both sides by 5

x = 112

According to the given estimation, 70 miles converts to 112 km.

The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.


Expand each of the following.
2(x + 8)​

Answers

Step-by-step explanation:

2(x+8)

2x+16..................

Here is the answer 2x+16

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

it's indicated that all angles of this triangle are congruent; this means the triangle is called a 60-60-60 where all angles are 60 degrees.

If a triangle is equiangular then it is also equilateral, which means that if all angles are equal then all sides are equal.

I’m pretty sure x will also be 12

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches. Which value of x would make Line segment N O is parallel to line segment K J? 1 6 8 10

Answers

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that [tex]\dfrac{AD}{DB}=\dfrac{AE}{EB}[/tex]

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

[tex]\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8[/tex]

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

Answer:

Option C- 8

Explanation:

Plug it in- Hope this helps :)

Giving Brainist to 1st answer




Answers

Answer:

2

Step-by-step explanation:

The answer to that is 2

Determine the range of the following graph:

Answers

-4,6 I believe is the answer!!!!!!!!
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