The width of a rectangle is 30 less than 4 times the length. The perimeter is 60. What is the length, width, and area

Answers

Answer 1

9514 1404 393

Answer:

length: 12 unitswidth: 18 unitsarea: 216 square units

Step-by-step explanation:

Let x represent the length of the rectangle. Then the width is 4x-30, and the perimeter is ...

  P = 2(L +W)

  60 = 2(x +(4x -30)

  30 = 5x -30

  60 = 5x

  12 = x . . . . length

  4x -30 = 18 . . . . width

Area is the product of length and width.

  A = LW

  A = (12)(18) = 216

The length is 12, the width is 18, and the area is 216.


Related Questions

Which equation shows the relationship between x and y?

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. y = -3x

Step-by-step explanation:

plug x into the equation:

y = -3(-4) = 12 (s0 when x = -4, y = 12)

y = -3(-3) = 9

y = -3(-2) = 6

y = -3(-1) = 3

for the function h(x) = 4x2 -5x what is the value of (-3)

Answers

Answer:

h(-3) = 51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = 4x² - 5x

h(-3) is x = -3

Step 2: Evaluate

Substitute in x:                     h(-3) = 4(-3)² - 5(-3)Exponents:                           h(-3) = 4(9) - 5(-3)Multiply:                                h(-3) = 36 + 15Add:                                      h(-3) = 51

Answer:

f(-3) = 51

Step-by-step explanation:

f(x) = 4x^2 - 5x

f(-3) = 4(-3)^2 - 5(-3)

f(-3) = 4*9 - (-15)

f(-3) = 36 + 15

f(-3) = 51

I need serious help, this is hard

Answers

Answer:  58

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

Explanation:

M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.

Furthermore, we can say that PQ is twice as long as either piece, so

PQ = 2*PMPQ = 2*MQ

We'll use the second equation to say the following:

PQ = 2*MQ

6x+56 = 2*MQ .... replace PQ with 6x+56

6x+56 = 2*(5x+8) .... replace MQ with 5x+8

6x+56 = 2*5x + 2*8 .... distribute

6x+56 = 10x+16

6x+56-10x = 16 .... subtract 10x from both sides

-4x+56 = 16

-4x = 16-56 ..... subtract 56 from both sides

-4x = -40

x = -40/(-4) ..... divide both sides by -4

x = 10

Once we know the value of x, we use it to find the length of PM

PM = MQ

PM = 5x+8

PM = 5*10+8

PM = 50+8

PM = 58

Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.

please solve this on a paper will be given brainliest ​

Answers

Answer:

[tex]x=2,\\x=-2,\\x=\sqrt{3},\\x=-\sqrt{3}[/tex]

Step-by-step explanation:

This is a quadratic in disguise. Let [tex]n=x^2[/tex]. We can rewrite the problem as a quadratic to solve:

[tex]n^2-7n+12=0,\\(n-3)(n-4)=0,\\n=3,\: n=4[/tex].

Now plug in these values of [tex]n[/tex] to solve:

[tex]\begin{cases}x^2=4, \:x=\pm 2\\\\x^2=3, x=\pm\sqrt{3}\end{cases}[/tex].

Therefore, our solutions are [tex]x=\pm 2, \:x=\pm\sqrt{3}[/tex].

Segments DE and AB are parallel

Answers

Answer:

yes segment DE and AB are parallel

Answer:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Step-by-step explanation:

We use the proportion among similar triangles:

CE/CD = CB/AC

and solve for CB:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Please help me! Please and thank you!

Answers

Answer:

4m+0.50

Step-by-step explanation:

Help me please! ASAP thank you :)

Answers

Answer:

7

Step-by-step explanation:

7+2=9

7 puzzles

7 puzzles

For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form

Answers

Answer:  The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Given :

Amount of coloured fabric used by June = 11 mm = 1.1 cm    (1 mm=0.1 cm)

Amount of white fabric used by June = 1 cm

To find : amount of white fabric to coloured fabric as a ratio in its simplest form

To find the ratio in simplest form , the units of both measurements should be same

Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]

The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]

Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at $68.90 per month how many gigabytes of data can use while staying within his budget

Answers

Answer:

2 gigabytes of data

Step-by-step explanation:

Given

Amount Jason keeps per month = $68.90

Cost of flat per month = $60.50

Balance for data = 68.90-60.50

Balance for data = $8.40

If 1Gigabyte = $4

x = $8.40

Cross multiply

4x = 8.40

x = 8.40/2

x = 2.20

Hence Jason can only use 2 gigabytes of data while staying within his budget

Answer:

2.1 gigabytes

Step-by-step explanation:

DELTA MATH

A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.




A.

2 1/15 h



B.

1 17/30 h



C.

− 1 17/30 h





It's on Gradpoint

Answers

Answer:

1 hour/ 34 minutes

Step-by-step explanation:

The cost of a jacket was originally 40$ It was on sale for 20% how much did they save

Answers

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol

Answers

Answer:

3b - [tex]\frac{3}{5}[/tex] b  

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - [tex]\frac{3}{5}[/tex] b  

Somebody pls answer this fast!!!!

A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.

a. Who reads​ faster, Emily or Maria​?

b. How long will it take Maria to read the entire novel at her current​ rate?

Answers

Answer:

maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours

Step-by-step explanation:

i dont think the second part is right

Pleas help
Giving Brainiest
Stay Safe And Healhy

Answers

‘A’ is the correct answer
It’s A, very much easy

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Graph the line that passes through the points (-1, -6) and (-8, 8) and determine the equation of the line.

Answers

Answer:

Step-by-step explanation:

How do you Convert fractions to a decimal

Answers

When converting fractions to decimals you divide the numerator by the denominator to get your result

A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold

Answers

Answer:

5 units of football

Step-by-step explanation:

Given that :

2.5 times as many footballs as basket balls is sold;

This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;

Hence, for every 2 basket balls sold, the number of units of football sold is ;

2 * 2.5 = 5 units

OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for MEDICARE TAX for this pay period was $
Blank.

Answers

tax is 204 with shipping


The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?

Answers

width=17m

length= 31m

Step-by-step explanation:

width = x

length= x+14

perimeter = 96m

2(x+x+14)=96

4x+28=96

4x=68

x=17

width=17m

length= 31m

good night all ✨

[tex] {\boxed{\tt 1.}} \: \: \tt 24 + 5 \times 14 \div 2 = [/tex]

[tex]{\boxed{2.}} \: \: \: \tt 200 \div 4 \times 6 = [/tex]

must accompany "step by step"! :)

Answers

Answer:

1. 24+5*14/2=

step 1. 24+5=29

step 2: 14/2=7

step 3: 29*7=59!

2. 200/4*6=

step 1: 4*6= 24

step 2: 25/200= 300!

Step-by-step explanation:

hope this helps did step by step explanation! brainliest?

1. 24+(5×14)÷2

=24+70÷2

=24+35

=59

2. 200÷4×6

=50×6

=300

Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?

Answers

Answer:

4/5

Step-by-step explanation:

Simply add the two fractions together

4/10 + 4/10 = 8/10

Then simplify

8/10 = 4/5

4/5 students chose either pizza or tacos

QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING

Answers

Answer:

One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea.  The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5.  Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."

Step-by-step explanation:

     May I have brainiest pls I'm trying to level up!

                               </3 PureBeauty

What is the simplified form of 6√x•6√x•6√x•6√x​

Answers

Answer:

The correct answer is

[tex]1296 { x}^{2} [/tex]

A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?

Answers

Answer:4

Step-by-step explanation:

6,-2=x-3=4

need answer ASAP 30 points

Answers

seems to be an error please fix your connection

Not to great at angles! Someone help plz

Answers

Answer:

6) A

7) A

8) I can't see which angle is A

9) 70

10)45

Step-by-step explanation:

My last one please help me

Answers

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

(3^5)^2/3^-2

Simplify please

Answers

Answer:

531441

Hope this was helpful

Answer: 531441

Step-by-step explanation:

3⁵*²/3⁻²=3¹⁰/3⁻²=3¹⁰⁻⁽⁻²⁾=3¹⁰⁺²=3¹²=531441

1. A book has x pages. How many pages are in the book if Maria read 45 pages of a book on
Monday, 1/2 the book on Tuesday, and the remaining 72 pages on Wednesday? *
(10 Points)
117 pages
234 pages
351 pages
468 pages

Answers

Answer:

234

Step-by-step explanation:

45+72=117

117x2=234

Other Questions
1. Why is there a difference between the number of Representatives for Wyomingand New York?a. Wyoming is not as important as New York.b. New York has more people.C. New York has fewer people.d. Wyoming has more Senators. Question 5 (2 points)Here is a diagram of a softball field:OutfieldInfield110 ft250 ftUse this diagram to answer the questions below.Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.1. The fence around the field (the whole perimeter of the shape) is aboutfeet2. The area of the outfield is aboutft put a footnote, and make it part of your works cited. Unless it's , _____ then you're in the clear, And it's fair game if it's your original idea. plagiarize quotation murk common knowledge Why did a gacha yt ad pop up when my teacher put up a yt vid A stationer purchased 5 dozen of pens atRs 25 per price and sold 24 per piea() Find his loss() Findhis loss percent. Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax 1. An airplane flies a distance of 3000 miles in 6 hours. How tast is it going? Hint: Uses=d/t. Show our work.2. A skydiver opens her parachute and is dropping toward the ground at a constant speed of 0.3 m/s. If she is currently 200 meters above the ground, how long will it be before she lands on the ground? Hint: Use t = d/s. Show your work.3. A snail crawls over the ground at 1 meter per hour. How far will the slug move in 6 minutes. Hint: Use d = s x t after you convert 6 minutes into hours. Show your work.4. A race car accelerates from 0 to 30 mi/he (44 ft / sec) in 4 seconds. What is it's acceleration in ft /sec? Hint: Use a = v / t.5. A fighter jet is flying along and the pilot wants to go faster. He pushes the throttle so the jet engine is producing full power. The jet accelerates at a rate of 20 m/s for 10 seconds. How much does the jet increase it's velocity? Hint: Use v = a x t. Show your work.6. If the jet in question 5 above was traveling at 1000 m/s before it accelerated, how fast was it going after it accelerated for 10 seconds? Show your work.7. A boy drops a ball. The ball accelerates at 9.8 m/s. How long does it take for the ball to reach a velocu if 1 m/s? Hint: Use t = v / a. Show your work including units. Need Help Please answer and Find the measure of the exterior angle of the triangle. ABCD is a rhombus. Find m Solve the equation below for y.12(y8) = 14y2 can anyone help me with the answers? Which of these factors affects how fast a sound wave moves? the kind of material it is moving through the kind of material it is moving through the amplitude of the sound wave's vibrations the amplitude of the sound wave's vibrations the wavelength of the disturbance in the medium the wavelength of the disturbance in the medium the type of motion that caused the sound wave to form the type of motion that caused the sound wave to form Plz answer will mark brainlest One hundred students go to the cafeteria to eat lunch. Six tables held the same amount of students while an additional 10 students stood in line. Which equation can be used to find the number of students sitting at each table?1. 100 + 6 x = 102. 100 = 10 x + 63. 10 x - 100 = 104. 6x + 10 = 100 Find each difference. A: (5)6B: 35(8)C: 438(114) Do this very simple equation for monE HHHHHHHHHEEEEEELLLLLPPPPP WILL GIVE BRAINLIEST1.06: The World of Photography Module One: Photography ProjectPlease complete the following exercise. Submit the work as a file attachment. The Photography Project exercise is worth 25 points.Many of the earliest photographs we know of are pictures from the photographer's window. Practice taking photographs from the windows of your home and transferring the photographs to your computer.Choose one photograph that you like the best from those you took out the window. Insert the photograph into a word processing file. After the photograph, write a paragraph explaining the photograph.What does the photograph show?Why did you choose to photograph this scene?What are the challenges of photographing from a window?Why do people create art like photographs?Assignment 01.06 Photography Project Explain, in your own words, what volumic mass is How did European goods impact the lives of native tribes help with #14 plz help