Find the width of the rectangle if the length of the rectangle is 5 more than it’s width, and the perimeter of the rectangle is 20 units

Answers

Answer 1

Answer:

w = 2.5

Step-by-step explanation:

Write these 2 equations to represent the problem:

[tex]l=w+5\\2w+2l=20[/tex]

where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:

[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]

If you just need the width, then you're already done there. I'll find  the other variable too, and then check it to be sure it's correct.

[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]

Now, confirm that with the second equation:

[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]

Answer 2

The perimeter of a rectangle is the sum of its side lengths.

The width of the rectangle is 2.5 units

Represent the length with l and the width with w.

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The perimeter is 20 units.

So, we have:

[tex]20 =2 \times (l + w)[/tex]

Divide both sides of the equation by 2

[tex]10 =l + w[/tex]

The length is said to be 5 more than its width.

So, we have:

[tex]l =5 + w[/tex]

Substitute 5 + w for l in [tex]10 =l + w[/tex]

[tex]10 = 5 + w + w[/tex]

[tex]10 = 5 + 2w[/tex]

Subtract 5 from both sides

[tex]5 = 2w[/tex]

Divide both sides by 2

[tex]2.5 = w[/tex]

Rewrite as:

[tex]w =2.5[/tex]

Hence, the width of the rectangle is 2.5 units

Read more about perimeters at:

https://brainly.com/question/397857


Related Questions

pe
Two companies allow you to pay monthly for your food
A charges a one time fee of $150 and $45 per month Company B charges a
one time fee of $125 and $50 per
month

Answers

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

Plzzzzz helpmeeeee plzzzzzz

Answers

C is your answer in figures. one million and one hundred and ten thousand dollars

Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!

Answers

Answer:

x^2 + 10x - 24 = 0

Step-by-step explanation:

Two zeros are 2 and -12:

x - 2 = 0x + 12 = 0

So the function is (x-2)(x+12) = 0

<=> x^2 + 12x - 2x - 24 = 0

<=> x^2 + 10x - 24 = 0

Solve each equation.

1) | 2x - 4 | = 10

2) -5 | -4x + 4 | - 7 = -67

Show all work please :D

Answers

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]

find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)

Answers

Answer:

y = [1]x + [-5 ]

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )

the line that passes through (3, -2) : -2 = (3)+b
b = -5

the equation is : y = x-5

HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

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

/       -6x+15

       +6x-15

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

         /   /

the answer is X-3

Step-by-step explanation:

Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.

Answers

Answer:

on the way there she was going at 25 km/hr

Step-by-step explanation:

5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)

Answers

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is

(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880

if the answer is correct with explanation will mark you as BRAINLIST​

Answers

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700


pls help. will give brainliest :)

Answers

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Write the slope-intercept form of the line between the two points.
1. through: (0, 2) and (1, -3)
SI:

Answers

Answer: Y= -5x+2
First we need to find slope
M= y2-y1/x2-x1
M= -3-2/1-0
M= -5/1
M= -5
Now using slope intercept form we can solve this equation
Y-y1=m(x-x1)
Y-2=-5(x-0)
Y-2=-5x+0
Y= -5x+2
hope this helps!!
Please tell me if I am incorrect, I enjoy learning from my mistakes:)

Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?

a) 100 km
b) 150 km
c) 200 km
d) 250 km

Answers

From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.

From the complete information, we are told that on the map of Indiana, 1cm = 50km.

Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:

= 3 × 50 = 150km

Learn more about distance on:

https://brainly.com/question/2166162

Answer:

if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6

then here are the correct answers

Step-by-step explanation:

1. B. 150 km

2. A. 300 km

3. D. 7.5 cm

4. B. 30 yd ^ 2

5. A. 90 x 45

i hope this helps please coment if you can! = ) <3

3. A car travels 65 miles in one hour. How many miles would the car travel in / an hour?


HELP ASAP

Answers

Answer:

A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:

(Miles/hour) * (hours) = miles

So we can just plug in the values…

65 * 5 = 325

Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.

Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."

Answer:

65

Step-by-step explanation:

If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.

: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?

Answers

The answer is 4.5 ounces.

27/6=4.5

A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,

Answers

Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *

A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes

Answers

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

James makes $44,059 per year, how much would he make monthly?

Answers

Answer:

$3671.58

Step-by-step explanation:

Take the annual salary and divide it by the number of months

Can someone Please help me on this easy math problem

Answers

Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2


5.
Which of the following equations describes the graph?

Answers

Step-by-step explanation:

I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2

Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.

Answers

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.

The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.

In this problem:

There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]

The probability of choosing all containers of one flavors is P(X = 4).

There are 13 containers, hence, the probability is multiplied by 13.

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]

13 x 0.000018469 = 0.0002

0.0002 = 0.02% probability that 4 of those containers are the same flavor.

A similar problem is given at https://brainly.com/question/25743676

The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.

Given :

Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.

The probability according to the Hypergeometric distribution is given by:

[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]     --- (1)

where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.

Now, substitute the values of known terms in the expression (1).

[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]

[tex]\rm P(X=4) =0.000018469[/tex]

Now, multiply the above result by 13.

[tex]13\times 0.000018469=0.0002[/tex]

So, the probability that 4 of those containers are the same flavor is 0.02%.

For more information, refer to the link given below:

https://brainly.com/question/23017717

Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market

Answers

The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account

Checking accounts:

Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower fees

Checking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.

In conclusion, option A is correct.

Find out more about checking accounts at https://brainly.com/question/21714367.

given f(x)=1/4(5-x)2 what is the value of f(11)

Answers

Answer:

f(x)=1/4(5-x)²

Step-by-step explanation:

f(11)=1/4(5-11)²

1/4(-6)²

1/4(36)

=9

Answer:

=9

Step-by-step explanation:

;0

Find the area of the rhombus

Answers

A=pq
2 aria rombusului după volum este pq2 cea a unghiului este împărțită cu 2 care este pq=x pătrat

Please show me what the lines would look like on this piece wise function

Answers

Answer: The graph is shown below

Explanation:

The f(x) function is piecewise, and it has a double identity depending on what x is.

If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.

The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.

So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.

identify the x- and y- intercepts for the line: -3x+3y=27

Answers

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

27.81 + (-13.97) please help

Answers

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...


At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

65 hot dogs, 96 sodas

Step-by-step explanation:

x + (x + 31) = 161

2x + 31 = 161

2x = 130

x = 65

65 hotdogs

65 + 31 = 96

96 sodas

Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework

Answers

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

Can someone please explain the steps?

Answers

Answer:

There all 67 degrees

Step-by-step explanation:

Answer:

y= 119

Step-by-step explanation:

From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too

All inner angles of a parallelogram add up to 360

61+61=122

360-122=238

238/2=119

Other Questions
Stuck on this, need help on this. CAN SOMEONE TELL ME IF I CLICKED THE RIGHT AWNSER PLEASE Explain why the wound of a diabetic patients fails to heal heal easily? i has see that movie three times calculate the speed of a train that travels 540 km in 9 hours If a number has the units g/L then its A) a number we are not going to use at all.B) an imaginary unit that we are not going to use.C) creating a relationship between mass and volumeD) a relationship between volume and distance. A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?6 cups3 and one-third cupstwo-thirds cupsStartFraction 2 over 15 EndFraction cups PLEASE HURRY ITS A TEST AND TIMED Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar A chemical agent that kills pathogenic microbes in general is a(n) sanitizer. fungicide. disinfectant. antiseptic. germicide. PLZ HURRY IT'S URGENT!!!What is the value of x? Leave answer in **simplest radical form.***options:443 883 40% of 58 and 34% of 76pls subscribe to aphmau it'll help her alot what does covet mean? What is the quotient? StartFraction 3 y 2 Over 3 y EndFraction divided by StartFraction 6 y squared 4 y Over 3 y 2 EndFraction StartFraction 1 Over 2 y EnDfraction StartFraction 3 y 2 Over 6 y squared EndFraction StartFraction 1 Over y EndFraction StartFraction 2 (3 y 2) Over 3 EndFraction. please help I need help with this . CAN SOMEONE HELP ME PLEASE ASAP!? Find the 63rd term of the arithmetic sequence 17, 26, 35 Anand's garden is 70m long. If it is a square type and he has to fence with barbed wire of 3 rounds. What is the total length of the wire?please give a valid and step by step explanation and answer this will give u an extra 5 points Please help solve for a in the equation in the photo Which of these substances is commonly refined by electrolysis?brinerusttitaniumwater * 5.) Write the following in standard form.* 5.8709 x 107 58, 709 58,709,000 5,870,900 587,090