The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle

Answers

Answer 1

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.


Related Questions

Write an explicit function in terms of n that describes the following sequence:
−2, 4, −8, 16, −32, 64

Answers

Answer:

aₙ = -2(2)^(n-1)

Step-by-step explanation:

With Company A, you can take a 2.25 hour helicopter ride for $ 270.
With Company B, you can take a 90-minute helicopter ride for $ 180.

Which of the two helicopter companies gives you the best ride for your money?

Answers

Answer:

B

Step-by-step explanation:

The Answer is B
I already take this question before

What are all the zeros of the function f(x) = 4x^2 + 8x + 3?

Answers

Answer: -1/2 and -3/2

Step-by-step explanation:

X1= -3/2 x2= - 1/2

I think I’m not sure

Kyle spends $44 for four sweatshirts.

Answers

Answer:

I think the answer is B. sorry if its wrong..

Step-by-step explanation:

Answer:

Bar C and the equation 4y = 44

Hope this helps!

Help! it's easy but I need help

Answers

Answer:

no lol

Step-by-step explanation:

Answer:

i will tell you what to do and then you do the work

Step-by-step explanation:

arrange the numbers from lowest to largest

count the amount of numbers to find how many students wrote each test

to find the mean add all of the numbers up then divide by the amount of numbers there are

to find the mode it that is the number that appears the most or the most common value

to find the median is the middle number, when you put it from lowest to largest, it will be the middle number

hope this helps

HELP PLEASE!! a space station orbits earth at a rate of 57 miles every 3 seconds
Write the space stations rate of change

Answers

Answer:

i think its every 90 minutes but I could be wrong.

Step-by-step explanation:

1a.) Brian borrowed 4 non-fiction books from the library. This was 25% of the
books he checked out. How many books did Brian check out? *

Answers

Answer:

Total number of books borrowed= 16

Step-by-step explanation:

Giving the following information:

Number of non-fictions books= 4

Percentage of books borrowed= 25% = 0.25

To calculate the total number of books borrowed, we need to use the following formula:

Total number of books borrowed= 4 / 0.25

Total number of books borrowed= 16

What is the distance between (-2,-8)(7,-3)

Answers

Answer:

[tex]\sqrt{106}[/tex] or 10.29563

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

[tex]\displaystyle d = \sqrt{106}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-2, -8)

Point (7, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{106}[/tex]

i will give brainiest if correct please hurry!!
You flip a coin 50 times and get 26 tails. What is the experimental probability of flipping heads? Write your answer as a simplified fraction or a percentage.

Answers

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

question 9
9. Given ABCD
EFGH, find the length of GH.
A. 8
B. 7
C. 5
D. 10

Answers

The Answer is 8...:
The step-step explanation:

A video game rental store charges a $20 membership fee plus $2 for each game rented. Click to show whether each statement is true or false. True False The slope of function 2 is greater than the slope of function 1 and less than the slope of function 3 The slope of function 1 is 4 times the slope of function 3. The y-intercept of function 2 is less than the y-intercept of functions 1 and 3. The y-intercept of function 2 is greater than the y-intercept of function 3.​

Answers

Answer:

the member ship gay

Step-by-step explanation:

m8 m88m8m88m8m88m

y=2.50+20 hope this helps

5.

A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?


A. The balloon starts at a height of 0 ft and rises at a rate of 10 ft.

B. The balloon starts at a height of 10 ft and rises at a rate of 0 ft.

C. The balloon starts at a height of 0 ft and rises at a rate of 100 ft.

Answers

Answer:

Step-by-step explanation:

the balloon starts at a height of 0 ft and rises at a rate of 100 ft.

if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).​

Answers

Step-by-step explanation:

[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]

Im really struggling with this, i need A on this test please help me!

Question 4 options:


The volume of the square pyramid is ___ cubic centimeters.

Answers

The volume of the square pyramid is 600cm^3

The volume of the square pyramid is 600cm^3

If the sun is 58° above the horizon, find the length of the shadow cast by a building 62 ft tall. Round your answer to the nearest tenth.

Answers

Answer: 56

Step-by-step explanation:

Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm

Answers

Answer:

C. 2, 808 cm^3

Step-by-step explanation:

Given that

The base of the pyramid is 18 centimeters

And, the height of the pyramid is 26 centimeters

We need to find out the volume of the pyramid

As we know that

The volume of the pyramid is

= 1 ÷ 3 × base^2 × height

= 1 ÷3 × 18^2 × 26

= 2,808 centimeter^3

Hence, the correct option is c.

I just need help in this last question plsssss

Answers

Answer:

B) 0.8

Step-by-step explanation:

If events are said to be independent, then just multiply the probability of the first event by the second if they are supposed to be happening together.

P (A) * P (B) = 0.8 x 1 = 0.8

What is -3x-y=-24 if Y =3x

Answers

Answer:

x= 4 and y= 12

Step-by-step explanation:

solve by substitution

hope this helps :D

a plastic box contains balls of different colors. among them, 18 balls were chosen. what does the number 18 represent?

Answers

Answer:

the amount of that were pulled out

Step-by-step explanation:

Forty-five percent of what number is 15.75?​

Answers

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Can someone help I don’t understand

Answers

Answer:

8 hr

Step-by-step explanation:

8hr

hope this helps you!

Find the 93rd term of the arithmetic sequence -6,13,32...

Answers

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

HElP NEED ANSWER FAST WILL GIVE BRAIN

Answers

Answer:

c

Step-by-step explanation:

an event that cannot happen is

a certain
b possible
c impossible

Answers

an event that cannot happen is impossible
c. impossible
certain and possible are things that will or could potentially happen

The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?​

Answers

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Slope of the line that passes through (8,-9) and (14,-9)

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

PLS ILL MARK BRAINLIEST (100 points)

Answers

Answer:

For part A:

9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

Step-by-step explanation:

A company is testing a new protein shake which they claim works better than their existing brand in improving an athlete's performance. The company selected 60 athletes from a training camp database, and divided them into three groups. The ages for the groups were 16 to 20 years, 21 to 25 years, and 26 to 30 years. In each group, half of the subjects were asked to use the new protein shake for a month, and the other half were asked to use the company's existing brand for a month. The subjects were not informed about which protein shake they would be using. Which statements about this study are true? The study uses blocking to reduce variability from known factors. The study does not use a control group. The study uses random sampling. The study uses blocking on the basis of gender. The study uses a repeated measure design to reduce variability from unknown factors.

Answers

Answer:

The study uses random sampling

The study uses blocking to reduce variability from known factors

Step-by-step explanation:

Correct on Plato/Edmentum

Study uses blocking to reduce variability from know factor

and The study uses random sampling are the true statements

What is random sampling?

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen

Here study uses blocking to reduce variability from know factor

The study uses random sampling

Hence, study uses blocking to reduce variability from know factor

and The study uses random sampling are the true statements

Learn more about Random sampling here

https://brainly.com/question/17238189

#SPJ2

Help please


Thanks <3

Answers

Answer:

answer in the screen shot provided

hello please help i’ll give brainliest

Answers

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

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