The length of a rectangle is two more than three times its width. If the perimeter of the rectangle is 60 m, find its length and width.

Answers

Answer 1

Answer:

The length and width of the rectangle are 23 m and 7 m respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 60 m

L (length of the rectangle) = 2 + 3W. W is the width of the rectangle

Therefore, L = 2 + 3W

P = 2L + 2W

60 = 2(2 + 3W) + 2W

60 = 4 + 6W + 2W

60 - 4 = 8W

56 = 8W

W = 56/8 = 7 m

L = 2 + 3W = 2 + 3(7) = 2 + 21 = 23 m

L = 23 m

W = 7 m


Related Questions

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

9 years.

Step-by-step explanation:

Make x the number of years passed.

[tex]\frac{39+x}{3+x}=4[/tex]

12 + 4x = 39 + x

27 = 3x

x = 9

Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?

Answers

Answer: (A) [tex]12+12\sqrt{12}[/tex] .

Step-by-step explanation:

Perimter is the sum of the all sides of a figure.

As the given design has three exactly same or identical triangles with side-lengths [tex]2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in[/tex] joined by ending vertices.

Then, the combined operimetr of thge design would be :

3 x (Perimeter of the one triangle)

For this , Perimeter of one triangle = [tex]2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in[/tex]

Now , the combined operimetr of thge design would be :

[tex]3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in[/tex]  or   [tex]12+12\sqrt{12}\ in[/tex]

Hence, the correct option is (A) [tex]12+12\sqrt{12}[/tex] .

Answer:

it is a

Step-by-step explanation:

An equilateral triangle is always/sometimes/never similar to a scalene triangle, because we can always/sometimes/never map one onto the other using only dilations and rigid transformations.

Answers

Answer:

The answer is "never".

Step-by-step explanation:

The triangle isn't equilateral to the scalene, because it has the equilateral triangle that has all similarities as well as the angles steps.It also the face of the scalene triangle is different and the sides are not always the same.

A man divides his 360 cattle between his son in the ratio 7: 6: 5. Find the smallest share​

Answers

360/18=20

20*7=140

20*6=120

20*5=100

Answer=140:120:100

Answer: smallest share is 100

Step-by-step explanation:

7:6:5

Add the numbers so 7+6+5=18

Divide 360 by 18 which equals 20

Multiply each ratio by 20 so...

7×20:6×20:5×20

140:120:100

WILL MARK BRAINLIEST!!! Your friend states that for functions of the form y = a sin bx and y = a cos bx, the values of a and b affect the x-intercepts of the graph of the function. Is your friend correct? Explain

Answers

Answer:

The sine function won't be affected, but the consine function will.

Step-by-step explanation:

First of all, remember that [tex]sin(0)=0[/tex] and [tex]cos(0)=1[/tex]. As you can see, the sine function won't be affect by [tex]a[/tex], because its value is null.

However, the x-intercept of the cosine function depends on the [tex]a[/tex] value, because the function is equal to the unit.

On the other hand, the variable [tex]b[/tex] won't affect any function, because it would be always zero.

Therefore, the sine function won't be affected, but the consine function will.

please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given

Answers

Answer:

£60

Step-by-step explanation:

Let [tex]x[/tex] be the original price.

[tex]x \times (1-10/100) = 54[/tex]

[tex]x \times 90/100 = 54[/tex]

[tex]0.9x=54[/tex]

[tex]x=54/0.9[/tex]

[tex]x=60[/tex]

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

£537.63

Step-by-step explanation:

Let the original price of the computer be x.

The price of a computer was decreased by 7% to £500. This implies that:

x - 7/100 * x = 500

x - 0.07x = 500

0.93x = 500

x = 500/0.93 = £537.63

The price before the decrease was £537.63.

What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?

Answers

Answer:

circle,

Step-by-step explanation:

disc in the middle vertically in this case is equal to the bases

The intersection is called an Oval. Hence the correct option is A. An oval in mathematics is a shape just like a circle but with an elongated outline like the shape of an egg.

What is a Cross-section?

A cross-section is a surface, an area that is created or exposed by executing a straight cut across or through a shape.

Cross-sections in technical drawings are used for depicting the internal view of an object that is three-dimensional.

Learn more about Cross-Sections are:

https://brainly.com/question/10511133

Please Help !!! MATHS GCSE DATA HANDLING QUESTION. thanks xx

Answers

Answer:

A) 29men

B) 91cm

C) 13cm

Step-by-step explanation:

Men with waist of 85cm = 11

A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men

B.) median waist :

Median = (n) / 2

Where n = number of observations

Median = (40) / 2 = 40/2 = 20th

Taking the intersection of the 20th point on the x-axis,

Median waist = 91cm

C.) Interquartile range(IQR) = (Q3 - Q1)

Q3 = 3/4(n)

Q3 = 0.75 × 40 = 30

Q3 = 97cm

Q1 = 1/4(n)

Q1 = 0.25 × 40 = 10

Q1 = 84cm

IQR = 97 - 84 = 13cm

What are the two solutions of 2x^2 = -X^2 - 5x - 1?
A. the y-coordinates of the intersection points of the graphs of y = 2x^2 and y = x^2 – 5x - 1
B. the x-coordinates of the x-intercepts of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
C. the x-coordinates of the intersection points of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
D. the y-coordinates of the y-intercepts of the graphs of y = 2x^2 and y = -x^2–5x - 1

Answers

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

Answer:

C: the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1

Step-by-step explanation:

I got it right on Edg. 2020


(a) The marked price of a radio is Rs. 6,000. After giving a certain percent of dis-
count and leaving 10% VAT, its price becomes Rs. 5,610. What is the discount
percent ?​

Answers

Answer:

6.5%

Step-by-step explanation:

M.P= ₹6,000

Amount excluding VAT= 5,610

discount= x/100

discount= 6000*x/100=60x

equating

6000-60x= 5610

6000-5610=60x

390=60x

390/60=x

6.5=x

therefore, there is a discount of  6.5%

En un programa de televisión se hacen 30 preguntas. Por cada respuesta correcta se suman 8 puntos, por cada respuesta errónea se restan 5 puntos y por aquellas preguntas que no se contesten no se suman ni se restan puntos. Si un participantes obtuvo 13 puntos, ¿Cuantas respuestas erróneas pudo tener?

Answers

Answer:

7 wrong answers.

Step-by-step explanation:

We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).

This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.

In total there would be 6 questions right and 7 questions wrong, like this:

8 * 6 + 5 * 7 = 13

13 points, in 13 questions (6 correct + 7 incorrect)

The rest of the questions were not answered so that the score does not go up or down.

Which means you got 7 wrong answers.

How many digits will be in the quotient?
39 4,641

Answers

Answer:

the answer is 119 so three digits

Step-by-step explanation:

Answer:

3 digits

Step-by-step explanation:

4641/39=119

What the answer to this

Answers

Answer:

I think it might be a I don't know for sure though I just need some more points so I can ask a question myself sorry if this didn't help

Please help me on this question

Answers

Answer:

Is answer is option B

Answer:

B

Step-by-step explanation:

Given the 2 equations

x - 2y = 3 → (1)

2x - 3y = 9 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates the term in x

- 2x + 4y = - 6 → (3)

Add (2) and (3) term by term to eliminate x, that is

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(3) = 3

x - 6 = 3 ( add 6 to both sides )

x = 9

Solution is (9, 3 ) → B

Express 25 as a percentage of 75. *

4 points

A. 300%

B. 100%

C. 50%

D. 33.3%

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

25 is 1/3 of 75

You can calculate it this way:

(25/75) x 100 = 33.3333

Thus, your answer would be option D

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

D.

Step-by-step explanation:

First make it as a fraction:

[tex]\frac{25}{75}=\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] = 33.3333...%

the perimeter of a rectangle is 120 feet. the width of the rectangle.​

Answers

Do you have a picture of the question?

John has two jobs and earns a total of $2,345 per month. What percent of his gross income does John receive from his second job where he makes $609.70 a month?

Answers

Answer:

10000000.9

Step-by-step explanation:

The line plot shows the result of a survey asking students how many hours they spent reading last week. How many students spent 5 or more hours reading?

Answers

Answer:

15 total students

Step-by-step explanation:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

adding up to 15 total students


Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
much does the third partner own?

Answers

Answer:

7/20

Step-by-step explanation:

you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20

have a meh day

Answer:

[tex]\frac{7}{20}[/tex]

Step-by-step explanation:

First, add the shares of the first two investors

[tex]\frac{1}{4} +\frac{2}{5} = \frac{13}{20}[/tex]

Then, you subtract that from the total shares of the company, which is 1

[tex]1 - \frac{13}{20} = \frac{7}{20}[/tex]

What is the slope of the graph? slope = -1/3 slope = -3 slope = 3 slope = 1/3

Answers

Answer:

The slope is -3

Step-by-step explanation:

This is so because the line in pointing down, leading to the fact that the slope is negative, and rise over run is 3/1......

Therefore, the slope of the line is -3

To find the slope of the line, first start with a point on the graph.

Let's use the point (0,3) which we call point A.

The other point we will call point B.

Now remember that slope can be found using the ratio rise/run

between any two points that are on that line.

To get from point A to point B along this line, we must

first go down 3 units so we say that our rise is -3.

From there we move 1 unit to the right so our run is 1.

So our slope or rise/run is -3/1 which reduces to -3.

(6) Work out
5 1
6 12

Answers

Answer:

=123

Step-by-step explanation:

6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.

Answers

Answer:

[tex]45.4 cm^2[/tex]

Step-by-step explanation:

The area of the sector of a circle is given as:

[tex]\frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of the sector

r = radius

The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:

A = [tex]160/360 * \pi * 5.7^2[/tex]

A = [tex]45.4 cm^2[/tex]

Brass contains copper and zinc in the ratio 2:1. How much ZINC is there in 750 g of brass?

Answers

Answer:

250

Step-by-step explanation:

copper: zinc : total

2              1      2+1 =3

We have 750 brass

750/3 = 250

Multiply each by 250

copper: zinc : total

2*250     250  3*250

500        250       750

Again PLEASE ANSWER

You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length of 12 m with a height of 4 m. The triangle has a base of 12 m with a height of 5 m. Calculate both the area and perimeter of this patio.

Answers

Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base [tex]6^{2} +5x^{2} =[/tex]61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

Answer:

50 m squared

Step-by-step explanation:

You have to solve for the areas and then add

pleass more math help

Answers

Can’t answer this question

what is the greatest common factor for 9m+ 27m²

Answers

Answer:

9m

Step-by-step explanation:

Both of them are divisible by 9 and 1 m

When you factor and pull out 9m, you will get

9m (1 + 3m)

the greatest common factor for 9m and 27 m is 9

15 points! Please help me with this question

Answers

Answer:

48 f t

Step-by-step explanation:

Can someone please help

Answers

Answer:

The numbers to input are 2, 2 , 7

Step-by-step explanation:

252 = 2² * 3² * 7

So the numbers to input are 2, 2 , 7

The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:

Answers

Answer:

≈64.08

Step-by-step explanation:

Lateral Area=πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

Radius is 1/2 of the diameter so r=2

Height=10

Substitute:

: [tex]3.141(2)\sqrt{10^{2}+2^{2} } \\6.282\sqrt{100+4} \\6.282\sqrt{104} \\ 64.066.282*10.2\\ 64.076\\\\[/tex]

64.076 rounded = 64.08

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