A rug is 3 feet longer than 5 times the width. The area of the rug is 92 square feet. What are the dimensions of the rug?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

L=W+5

Area=LW

36=(W+5)W

36=W^2+5W

W^2+5W-36=0

(W+9)(W-4)=0

W-4=0

W=4 ANS. FOR THE WIDTH.

L=4+5=9 ANS. FOR THE LENGTH.

PROOF:

36=9*4

36=36

I hope this helped! ;)


Related Questions

Oscar rides his skateboard 5/8 mile in 1/4 hour. How fast, in miles does he ride his skateboard

Answers

Answer:

2.5 miles per hour

Step-by-step explanation:

[tex]\frac{1}{4}\times \frac{5}{8}[/tex]

Step 1: Apply the fraction rule: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]\frac{1}{4}\times \frac{5}{8}=\frac{1\times \:5}{4\times \:8}[/tex]

Step 2: Set up the fraction

[tex]\frac{5\times \:4}{8}[/tex]

Cancel the numbers: [tex]\frac{4}{8}=\frac{1}{2}[/tex][tex]=\frac{5}{2}[/tex]Convert to decimal[tex]\frac{5}{2} = 2.5[/tex]

Therefore, Oscar's speed is 2.5 miles per hour.

In the system of equations 4x + 2y = 10 and 12x - 3y = 3, what is the solution?
Hint: SOLVE BY ELIMINATION

Answers

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11

At lunchtime, 9/10 of the students at a school buy juice. Of those students, 2/3 buy grape juice. What fraction of the students buy grape juice? Write your answer in simplest form.

Answers

Step-by-step explanation: 2/3 of 90 (30+30+30) is 60

evaluate the expression 5-(6+3i)+2i

Answers

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Membership to a music club costs $130. Members pay $5 per music lesson and nonmembers pay $15 per
music lesson. How many music lessons would have to be taken for the cost to be the same for members and
nonmembers?

Answers

Non-members would have to take 9 to equal 135

Members would only take 1 plus the membership fee to equal 135.

I don't know if that's what it's asking for but I hope it helps.

3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?

Answers

Answer:

a. 12 meters

Step-by-step explanation:

po ang sagot ko po

#CARRY ON LEARNING

h(x) = 12 - 5x
p(x) = 2x
Find (h+g)(x)

Answers

are you sure h + g?

there is no g in your question..there's h and p

Helpppp meee i need itt! ahh *megan voice*

Answers

Answer:

B

Step-by-step explanation:

Roots from trees hold soil particles together, so it'll be more vulnerable to erosion.

Answer:

B

me big brain

help me with this math question please I'm giving away brainliests​

Answers

Answer:

181.8

Step-by-step explanation:

181.8 I beliv have a good day

Company 1 says that they will complete the job for $12 per foot of fencing. Company 2 says that they will charge you $250 for the first 100 feet of fencing and $15 for each additional foot. Determine the cost of fencing for both companies.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Company 1:

Variable cost= $12 per foot

Company 2:

Fixed cost= $250

Variable cost= $15 per foot

To determine the total cost of each company, we need to use the following formulas:

Company 1:

Total cost= 12x

x= number of feet

Company 2:

Total cost= 250 + 15x

x= number of feet

For example, for 150 feet:

Company 1:

Total cost= 12*150= $1,800

Company 2:

Total cost= 250 + 15*(150 - 100)

Total cost= $1,000

Amanda bought 6 pounds of apples she paid for the apples with a 20 dollar bill and got back 10.52 dollars back how much were the apples per pound pls help

Answers

1.58

20-10.52 gives you 9.48, this is how much was paid for the apples. Divide that by 6 to get 1.58, which is how much it costs per pound! :)

Cali has 35 flowers and 7 vases she wants to put the same number of flowers in each vase which question can Cali use to find the number of flowers to put in each vase

Answers

Answer:

5

Step-by-step explanation:

35 divided by 7

=5

5

35 divided by 7 is 5

find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. |-2x-3|≤ 3

Answers

Answer:

Inequality form: -3 [tex]\leq[/tex] x [tex]\leq[/tex] 0

Interval Notation: [-3, 0]

Step-by-step explanation:

Isolate the variable by dividing each side by the factors.

Can someone help me with this question ?

Answers

Answer:

The input is x2

Step-by-step explanation:

1*2=2

4*2=8 and the rest go on

This petite girl, short as can be is gonna jump and be free
-Rachie [My R]

Answers

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

PLZ HELP! DUE AT 10:00 WILL MARK BRAINLIEST IF ITS RIGHT

Answers

Answer:

2.54 : 1

Step-by-step explanation:

(For the first part)

So 1 inch = 2.54 centimeters

30 x 2.54 = 76.2

(For the second part)

2.54 : 1

Determine the period.​

Answers

Answer:

T = 3

Step-by-step explanation:

To find the period, find the distance it takes to complete one cycle.

In triangle ABC; AB = 5BC = 8 8. and AC = 7 Name the largest angle of triangle ABC

Answers

BCA necau u must add the 3 together

Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

5 laps

Step-by-step explanation:

35\7

= 5

Therefore your ans is 5

If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the
following would represent the length? Remember: A = lw (Hint: Box method multiplication may be helpful here!)

Answers

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length =  (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

Which expression is equivalent to 6 (3x + 4)

Answers

Answer:

E

Step-by-step explanation:

Answer:

18x+24

Step-by-step explanation:

Use the distributive property

What is the area of Triangle EFG? Please help- Geometry isn't my best subject. Immediate answers are appreciated.

Answers

Answer:

12

Step-by-step explanation:

(5×6)-½(3×6 + 2×4 + 2×5)

=30 - ½(18+8+10)

= 30 - ½(36)

=30-18= 12

Ryan is writing a composition for homework. He decides to keep track of the number of
sentences he writes compared to the time minutes he works. The graph below shows the data he collected.
At What Rate Does Ryan Write His Composition?

Answers

Answer:

Your answer will be 1.5

Step-by-step explanation:

I used my calculator to find out, your welcome:)

Yes the answer is : 1.5

PLS PLS HELP ASAP!!!

Answers

Answer:

2 1/4

Or as a fraction

9/4

Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul
scored. The three players scored 45 points all together. How many points did each player score?
Kendall: 24 points; Abdul: 13 points; Otis: 8 points
Kendall: 8 points; Abdul: 8 points; Otis: 8 points
Kendall: 24 points; Abdul: 8 points; Otis: 13 points
o Kendall: 8 points; Abdul: 13 points; Otis: 24 points

Answers

Answer: it’s C
Because Kendall scored 3 times abdul

Answer: The person above was correct

Step-by-step explanation: :)

(3b-4)(b+2)= in standard form

Answers

Answer:

3b^2+2b-8 Hope that helps !

Step-by-step explanation:

1. Use the FoIL method: (a+b)(c+d)= ac+ad+bc+bd 3b^2+6b-4b-8

2. Collect like terms 3b^2+(6b-4b)-8

3. Simplify which would give you your answer: 3b^2+2b-8

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4950 pounds in boxes, how much does each type of box weigh?

Answers

Answer:

small = 30 pounds

large = 60 pounds

Step-by-step explanation:

two equations can be derived from the question

x + y = 90 eqn 1

50x + 65y = 4950 eqn 2

x = small box

y = big box

multiply equation 1 by 50

50x + 50y = 4500 eqn 3

subtract equation 3 from 2

15y = 450

y = 30

substitute for y in equation 1

y = 60

Which wave has the least amount of energy

Answers

Answer:

3

Step-by-step explanation:

Wavelengths that are longer and more drawn out have a lower frequency, so number 3 has the least amount of energy.

I attached a spectrum that helps give a visual.

Hope this helps and made it a bit easier to understand.

What is the arc measure of \stackrel{\LARGE{\frown}}{AB}


AB





A, B, start superscript, \frown, end superscript on circle PPP in degrees?


^\circ





degrees


Answers

Answer:

72 degrees

Step-by-step explanation:

Find the diagram attached. We are to find the length of the arc

Measure of arcABC = rtheta

16π = 10 theta

theta  = 16*180/10

theta = 16 * 18

theta = 288degrees

central angle = 360 - 288 = arc AC

central angle = 72degrees

Hence the arc measure of AC is 72 degrees

If Sarah has one coin with circumference 56.206 mm, two coins with circumference 76.302 mm, and one coin with circumference 59.974 mm, what coins does she have. How much money is it? Use 3.14 for p.

Answers

Answer:

is a 1102046cm

Step-by-step explanation:juegas free fire

Other Questions
A mug and its dimensions are shown. Ben pours hot cocoa into the mug, leaving 0.5 inches empty at the top. Using 3.14 for s, about how many cubic inches ofhot cocoa does Ben pour into the mug?3 in.3.5 in.A. About 9.14 cubic inchesB. About 21.2 cubic inchesC. About 24.73 cubic inchesD. About 28.3 cubic inches Use the tangent to find the length of side QR. Express your answer to the nearest tenth. The length of side QR is approximately _____ units. Which pronoun best completes this conversation? Profesor Guterrez: Hola Eva. Cmo ests? Eva: Estoy bien Profesor, y __________? A. yo B. ella C. usted D. nosotros What is the most specific name for the figure?A(-4a, -2b)B(-8a, -2b)C(-4a, b)D(0, b)BA. ParallelogramB. RectangleC. SquareD. Rhombus El ao pasado, yo..........(one time event) un avin por primeravez. Tenia mucho miedo y estaba preocupado, pero todo fue bien. *O tomabaO volabanO comproO tome 2. What factor contributed most to the ending of the Ming Voyages? StringReverserGiven the following code that creates a Scanner and gets a String from the user, finish the code so that the program will:Output the provided String, input, backwardsNote that the answer should be one phrase - the reverse of input.The use of an additional method is optional.SAMPLE OUTPUT======================Enter a word or phrase:this is a testREVERSED:tset a si siht Please help, quickly if possible Which of these best describes the relationship between radius and diameterQuestion 3 options:double the diameter to get the radiushalf of the radius is the diametermultiply the diameter by 2 to get the radiusmultiply the diameter by 1/2 to get the radius Find the area of the circle. Round to the nearest tenth. Use 3.14 for pi ':) 1= 1/4c what is c ? pls help i could not figure this one out haha EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if you put links or don't answer accordingly im reporting your account) Please help quickly as possible thank you! :) A block of copper with mass 0.500 kg is heated to 400. degrees Celsius from 290. degrees Celsius. The specific heat capacity of copper is 387 J/ (kg*C). The heat absorbed by the copper block is 7.74 E5 J 7.74 E4 J 5.61 E4 J 2.13 E5 J 2.13 E4 J Question 16 Multiple Choice Worth 2 points)(06.04 MC)A surgeon extracts developing sperm cells from a male. In what order will he cut through the tissues of the male to access the developing sperm?Testis; vas deferens; scrotumO Testis; scrotum; vas deferensO Scrotum; testis, seminiferous tubuleO Scrotum, seminiferous tubule; testisQuestion 17(Multiple Choice Worth 2 points)(06.04 MC) Given the data presented in the bar graph, which morph represents 10% of the birthdays for the students surveyed? T nuncaa vivirnen Europab. vivirC. vivirsPlease select the best answer from the choices provided The computer club spent $27.75 on beverages for the end-of-year picnic. The total cost of the beverages was $0.75 per person. How many people attended the picnic PLEASE HELP ME OUT I NEED HELP Find X, and the two angle measures.