The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?

Answers

Answer 1

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.


Related Questions

Megan saves $42 every 6 days. How much does she save in 1 day?

Answers

Answer:

7

Step-by-step explanation:

6x7=42

Step-by-step explanation:

$42 divided by 6 = 7 so Megan makes $7 each day.

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters. Use 3.14 The volume of the cylinder is Type a whole number or decimal rounded to the nearest hundredth as needed.)​

Answers

Question:-

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters.

Answer:-

Given:-

[tex] \bullet [/tex] Radius (r) of a cylinder = 3 meters.

[tex] \bullet [/tex] Height (h) of a cylinder = 13 meters.

To Find:-

The volume of a cylinder.

Solution:-

We know,

Formula of Volume of a cylinder is πr²h.

So, Volume of a cylinder = 3.14 × (3)² × 13

Volume of a cylinder = 3.14 × 3 × 3 × 13

Volume of a cylinder = 367.38 cubic meters.

The volume of a cylinder is 367.38 cubic meters. [Answer]

The radius of a circle is 7 in find its area to the nearest tenth

Answers

Answer:

why there is no problem i do not see it

Step-by-step explanation:

4. What is the formula for distance?
d= r/t
d = rt
d = r-t
d=r+t

ILL MARKBRAINLYST PLS

Answers

Answer:

b) d=rt

Step-by-step explanation:

Test due in 2 hours! Will give good review and brainliest. :)

Answers

V=69.17m3
Use Conects

Answer:

circumference =9 volume = 972

Step-by-step explanation:

circumference of sphere =2 π r =18π ; r= 18π/2 π =9

Volume =4/3 *π r^3 =π* 4/3 *9*81 =4*3*81 π =12*81π = 972π Cubic inches

Volume of sphere is=972π

may i be marked brainliest?

An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms

Answers

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

1. What is the volume of the triangular prism below? h = 6.7 m 2 VBA 12.4 m 8 m​

Answers

Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

HELP URGENT PLEASSSSSSSSSSSSSSEEEEEEEEEEEEEEEE

Answers

Answer:

1 4/5 pounds each

Step-by-step explanation:

9/5 = 1 4/5

Determine what type of solution the following equation has: 2x-7=2x+3

- No solution
- One solution
-Infinitely Many solution

Answers

I’m pretty sure that has no solution! :)

Explanation:
2x - 7 = 2x + 3
2x - 2x -7 = 2x - 2x + 3
-7 = 3
no solution

(Also, could I get brainliest?)

What is the probability that a randomly selected date in the year 2021 is not in the month of October or
November?
Type your answer into the box as a decimal. Round to the nearest thousandth.

Answers

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

What is the answer ?

Answers

The answer is b welcome

which of the following could be the graph of the line y=3x-2?

Answers

Answer:

D should be the right answer

Answer:

C. IS THE CORRECT ANSWER

Step-by-step explanation:

Can someone help me pls

Which one of the following statements is true?

A. The input value is the dependent variable.

B. The input value is the independent variable.

C. The output value is the independent variable.

D. The output value can be the dependent variable or the independent variable, depending on the situation.

No links pls. Thank you for understanding (:

Answers

The input value is the independent variable. Then the correct option is B.

What is decision-making?

Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.

Let the function be y = f(x).

Then the variable x is independent but the variable y is depending on the on x.

The input value is the independent variable.

Then the correct option is B.

More about the decision-making link is given below.

https://brainly.com/question/3369578

#SPJ1

Which angles are adjacent to each other?

Answers

Answer:

1st option maybe?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.

help please. i need it asap

Answers

Answer:

The answer  3

Step-by-step explanation:

Charles is eight years older than five times Mark's age. If Charles is 63 years old, how old is Mark?

Answers

Answer:

21

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

11x 5 is 55. 55 plus 8 is 63

Solve the following system of equations: (2 points) −2x + y = 1 −4x + y = −1

Answers

Answer:

(x,y)=(1/2,0)

Step-by-step explanation:

rewrite the expression

-2x+y=-1

1-4x+y=-1

I APRECIATE HELP. A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?

Answers

The data set that is best fitted by the regression line is; Data Set B

What are regression residuals?

Residuals are described as the distance of  each point from the regression line.  Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.

Graph C has points that are not tightly centered around a line.  This is not a good fit.

Graph A has a straight line; it is not a good fit.

Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.

Read more about Regression Residuals at; https://brainly.com/question/17844286

#SPJ5

write and equation for the trend line shown

Answers

segegeuryryyututtetutuuipyuyibysttuututuututututueuttutupexjuyjjplanatio

A survey of Mrs. Ramirez's students showed that 30
students will have pizza fonlunch, 17 will have macaroni
and cheese, 12 will have a hamburger, and 5 will have
chicken fingers. Suppose Mrs. Ramirez surveys all 1 200
students in the school. How many students can she
expect to choose hamburgers for
Hunch?

Answers

Answer: 480

Step-by-step explanation:

We can create a ratio for this!

We have:

[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]

We can use substitution to input the information we already know:

[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]

Using cross multiplication, we get:

1 200(12) = 30x

14,400 = 30x

[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]

x = 480

Hope this helps! :)

The number of students expect to have hamburgers for lunch is 225 students.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Ramirez's survey on students

Number of students have pizza = 30

Number of students have macaroni and cheese = 17

Number of students have a hamburger = 12

Number of students have chicken fingers = 5

Total number of students = 64.

Now, Mrs. Ramirez surveys all 1 200 students.

Then number of students expect to choose hamburgers for lunch can be found by,

[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]

Let x be the number of students expect to have hamburgers.

⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]

⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]

⇒ [tex]x=225[/tex]

Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2


I WILL GIVR U BRAINERLEST AND A LIKE

The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answers

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Find the surface area of the prism

Answers

Answer:

192 km²

Step-by-step explanation:

Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism

✔️Base Area = ½*bh

b = 6 km

h = 8 km

Base area = ½*6*8 = 24 km²

✔️Perimeter of base = 6 + 8 + 10 = 24 km

✔️Height of prism = 6 km

Plug in the values into the equation:

Surface area = 2(24) + 24*6 = 48 + 144

Surface area = 192 km²

A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. What is the constant of proportionality?

Answers

Answer:

50 points

Step-by-step explanation:

Answer:

525 is the constant of proportionality

Step-by-step explanation:

WILL MARK BRAINLYIST

Answers

You are already correct.

Which equation below is decreasing across all real numbers ?

A. y=2(1/4)^x

B. y=1/3(5)^x

C. y=3x-5

D. y=3(5)^x

Answers

Answer:

A

Step-by-step explanation:

All the other exponential equations have a base greater than 1 except A and c is a linear equation with positive slope

Find all missing side lengths

Answers

Answer:

Sin 60=y/46

y=39.8

-39.8^2+46^2=x^2

X=23

So y=39.8 and x=23

Greg buys 21 bags of nails. Each bag has 85 nails in it. Greg rounds both numbers to the nearest ten to find an estimate of the total number of nails. What is the difference between Greg's estimate of the total number of nails and the actual total number of nails?

Answers

Answer:

1800

Step-by-step explanation:

21 rounds to 20

85 rounds to 90

20*90=1800

21*85=1785

1800-1785=15 nail difference

Enter the phrase as an algebraic expression.

the product of 38 and g

Answers

Answer:

38g

Step-by-step explanation:

Product means multiplication so:

The product of 38 and g is 38g

A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?

Answers

Answer:

10 is the answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120

help please, asap. i need this done

Answers

Answer:

2

Step-by-step explanation:

15/3=5

25/5 = 5

10/2 = 5

Answer:

2

Step-by-step explanation:

You have to find the "pattern."

for 15 and 3, you have to divide 15 by 5 and thats 3.

for 25 and 5, 25/5 is 5, so 10/5 is 2.

Other Questions
A pennant-shaped sign means you are in a _____ zone. HELP PLEAASEEEE pretty anyone 7.) A bank records deposits as positive numbersand withdrawals as negative numbers.Michael withdrew $150 from his bank account 3times. What is his balance after the 3 withdrawals? A snack pack of Sour Patch Kids weighs 3.25 oz. A standardsize pack weighs 5 oz. What is the difference in weightbetween the standard size and snack pack? it is likely that eliminating state-level voter registration laws would Help me ASAP pleasee!!!!! The scientific community dismissed John Needhams attempt to prove spontaneous generation. What was the reason that they gave? *A. By sealing off the flask he deprived the environment of air, a requirement of spontaneous generationB. He used the wrong type of flaskC. He left the flasks open to the air for too longD. He did not boil his broth long enough and the flasks were not cleaned prior to the experimenter. Pls help me i need it Which form of energy provides power for a gas stove?A. nuclear energyB. electrical energyC. chemical energyD. sound energy What effect does a first-person narrator have on the reader in the short story The Black Cat by Edgar Allen Poe Cuales son los seres vivos solve this equation x/8+4=12 If a car top speed is 180km/h how far will it go in 3 hours For brainily please help :/ The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing? The are sharp teeth that we use for biting.Racoons are opportunistic feeders and will eat just about anything they can find. They will catch and eat invertebrates such as beetles, but also eat different fruits and vegetables and other plant matter. Based on their feeding habits, they would be categorized as which of the following is true about natural steroids this is culinaryDirections and AnalysisTask 1: Entres Perform online or offline research on the different types of meats, poultry, and seafood and fish within these categories. Then, complete the following tables by listing three or more items within each group, defining the preferred cooking methods, and briefly stating the common use of each item. (For example: seafood would be one group. Shrimp is a type of seafood, and the preferred cooking methods for shrimp are boiling, steaming, and grilling.) 5 rows in each table 1. MeatType Preferred Cooking Method Common Use shrimp boiling, steaming, and grilling 2. PoultryType Preferred Cooking Method Common Use3. Seafood and FishType Preferred Cooking Method Common UseType your response here: __________________________________________________________________________Task 2: My CreationChoose any two of your favorite recipes in the meat, poultry, or seafood and fish group. Add your own creative touch to these recipes. Describe the modifications you made to each recipechange of ingredients, cooking method, etcWrite a short list of the tools, equipment, utensils, and appliances that youll need to make these dishes. Then, select two pieces of equipment from your list and describe how you would use and maintain them. Finally, include a presentation of up to five slides to introduce your restaurant and the recipes. Type your response here: 100 points!!! guy pls help me!!!!! Hiding . . . where would we hide? In the city? In the country? In a house? In a shack? When, where, how . . . ? These were questions I wasn't allowed to ask, but they still kept running through my mind.Margot and I started packing our most important belongings into a schoolbag. The first thing I stuck in was this diary, and then curlers, handkerchiefs, schoolbooks, a comb and some old letters. Preoccupied by the thought of going into hiding, I stuck the craziest things in the bag, but Im not sorry. Memories mean more to me than dresses.The Diary of a Young Girl,Anne FrankWhich factor might have affected Anne's viewpoint when she wrote, "Memories mean more to me than dresses?"