The length of a rectangle is 5m greater than its width and its area is 6m2. Find its dimensions.

[Hint: draw and label a picture]

Answers

Answer 1

Answer:

Width = 1 m and length = 6 m

Step-by-step explanation:

Let b is the width of the rectangle.

Length = 5+b

The area of the rectangle, A = 6 m²

We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :

A = lb

[tex]6=(5+b)b\\\\6=5b+b^2\\\\b=-6, b=1[/tex]

Width of the rectangle = 1 m

Length of the rectangle = 5+b = 6 m

Hence, this is the required solution.


Related Questions

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?

Answers

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

please help

What is a statistical question and what is its purpose? Be sure to include the 3 characteristics that make it up.

What does it mean for data to have variability as it refers to statistical questions? Give an example

Explain the difference between a dot plot and histogram. When would you use each graph?

Explain the difference between center and shape of a data set.

What are outliers and how do they affect a data set? What effect do outliers have on the measures of central tendencies? Which measure would be the best to use?

Answers

Answer: A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.

A histogram is a chart that groups data into classes and displays the frequencies for those classes, while a dot plot illustrates each individual observation along a horizontal number line.

The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph.

The average of set of data that is calculated by dividing the sum of the data by the number of items in the set. ... Measures of central tendency are mean, median and mode. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Vincent played two basketball games. He scored 8 more points in the second game than he scored in the first. He scored 14 points in the second game. How many points did he score in the first game?

Answers

Answer:

the answer is 6 points

Step-by-step explanation:

14-8=6

Answer:

6 points is the answer

Step-by-step explanation:

because it's 14-8=6

→the numbers of given is 14,8

→and Minos it

→like this 14-8=6

and hope it helps

#carryonlearning

The radius of a cylinder is measured in meters what unit will the surface area be measured in
A. Square meters
B.meters
C. Kilometers
D. Cubic meters

Answers

Answer: A) Square meters

Explanation:

Imagine that a parent bought a basketball for their son or daughter. If they wrapped the ball with wrapping paper, then that wrapping paper can be unwrapped to form a flat sheet. So the area of the sheet corresponds directly to the surface area. If the sheet is say 1 meter by 1 meter, then the area is 1*1 = 1 square meter. We can abbreviate "square meters" into "meter^2" or "m^2".

Answer:

square meters

Step-by-step explanation:

because when you measure in surface area, you use square meters

1. What is 65% of 80?
2. 34 is what percent of 40?

Answers

Answer:

1. 52

2. 13.6

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. What is 65% of 80

Let's set up an equation.

When we see %, we can put that number over 100.

65% = 65/100 = 0.65

"of" means to multiply.

So, 65% of 80 is

0.65 • 80 = x

Multiply.

x = 52

52

2. 34 is what percent of 40?

"is" symbolizes the equals sign (=)

"of" means to multiply.

"what percent" is our unknown.

34 is what percent of 40

34 = x/100 • 40

Divide both sides by 40.

0.85 = x/100

Multiply both sides by 100.

85 = x

85%

Hope this helps!

Monika is in charge of ordering pens for an upcoming convention. Pens
come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens.
Which inequality describes this situation?
x = number of boxes of 6 pens
y = number of boxes of 8 pens

Answers

6x+8y>=(is greater than or equal to)720

The inequality describing this situation is: 6x + 8y ≥ 720

Recall:

A situation can be described using Inequality.Inequality equation involves variables and inequality signs.

Given:

number of boxes containing 6 pens = xnumber of boxes containing 8 pens = y

Given that Monika needs at least 720 pens, it means that total number of pens in boxes containing 6 and 8 pens respectively must be equal to or greater than 720.

Therefore, the inequality describing this situation is: 6x + 8y ≥ 720

Learn more about inequality on:

https://brainly.com/question/3013943

A local college is forming a six-member research committee with one administrator, three faculty members, and two students. There are seven administrators, faculty members, and students in contention for the committee. How many six-member committees are possible

Answers

Answer:

292600

Step-by-step explanation:

A local college is forming a six-member research committee having one administrator, three faculty members, and two students. There are seven administrators, 12 faculty members, and 20 students in contention for the committee. How many six-member committees are possible?

[tex]\frac{7!}{(7 - 1)! 1!} * \frac{12!}{(12 - 3)! 3!} *\frac{20!}{(20 - 2)!2!}[/tex] = 292600

there are seven administrators, and only one is needed. thus there are 7 ways to choose 1 administrator.

there are 12  faculty members, and only 3 are needed. thus there are 12 ways to choose 3 members

there are 20 students and only 2 are needed. thus there are 20 ways to choose 2 students

Find the number that makes the ratio equivalent to 1:4.
5:

Answers

Answer:

5:20

Step-by-step explanation:

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?

Pls help I need the maser quick

Answers

Answer: 2nd choice,
Use the calculator

Find the common ratio of the geometric sequence 9,-18,36

Answers

Answer:

r = - 2

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

y ar u gay

Step-by-step explanation:

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2

37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7

Answers

Answer:

B is the answer....I did this math problem

The zeroes of the quadratic function given are 5/2 + √31 / 2 and  5/2 - √31 / 2.

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given quadratic function is

f(x) = 2x² - 10x - 3

We can find the roots of the quadratic function using the quadratic formula.

Quadratic formula for the quadratic function f(x) = ax² + b x + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a

Here, a = 2, b = -10 and c = -3

Substituting the values,

x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)

  = (10 ± √(100 + 24) ) / 4

  = (10 ± √124) / 4

  = (10 ± √(31 × 4)) / 4

  = (10 ± √31 √4) / 4

  = (10 ± 2√31) / 4

  = 10/4 ± 2√31 / 4

  = 5/2 ± √31 / 2

Hence the roots are 5/2 + √31 / 2 and  5/2 - √31 / 2.

Learn more about Roots of Quadratic Functions here :

https://brainly.com/question/9155953

#SPJ7

Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?

Answers

Answer:1.86*10^5

Step-by-step explanation:

Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.

if m1=35° and m2=75°, what is m3?​

Answers

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

Solve - 3/5 divided by 9/10. Put your answer in simplest form.

Answers

3/4 because you flip the reciprocal

Answer:

2/3

Step-by-step explanation:

Heres how I got 2/3

So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.

So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.

So we are going to line up 3/5 and 9/10 right next to eachother.

Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.

So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.

So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!

2√3+4√18 in simplest radical form

Answers

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?

Answers

$712.72

780×0.15

117

780−117

663

663×0.075

49.725

49.725+663

712.72

Price = 780
Discount = 15%
Tax = 7.5%

Price after tax = price + 7.5/100 price
= 780 + 7.5/100 * 780
= 780 + 58.5
= 838.5
Price = 838.5

Price after discount = 838.5 - 15/100 * 780
= 838.5 - 117
= 721.5

I need help with these!

Answers

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

[tex]54=\dfrac{1}{2}(3n)[/tex]

[tex]2\times 54=3n[/tex]

[tex]108=3n[/tex]

Divide both side by 3.

[tex]\dfrac{108}{3}=n[/tex]

[tex]36=n[/tex]

Hence, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

By using mid-segment theorem for the given triangle, we get

[tex]4n+5=\dfrac{1}{2}(74)[/tex]

[tex]4n+5=37[/tex]

[tex]4n=37-5[/tex]

[tex]4n=32[/tex]

Divide both side by 4.

[tex]n=\dfrac{32}{4}[/tex]

[tex]n=8[/tex]

Hence, the value of n is equal to 8.

Round your answer to the nearest hundredth.
с
B
40°
?
7
А

Answers

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

PLEASE HELP ME ( MULTIPLE CHOICE) WILL GIVE BRAINLIST

Answers

Answer:

Factoring Trinomial.

Step-by-step explanation:

Help pleaseeee

3.3 - 5.7n – 3n +8= ??

Answers

Answer:

11.3 - 8.7n

Step-by-step explanation:

Its almost basically combining like terms

You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

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