The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :

Answers

Answer 1

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard


Related Questions

What is the equivalent for 4/6

Answers

Answer:

2/3

Step-by-step explanation:

please mark this answer as brainliest

Answer:

[tex] \frac{4}{6} \\ = \frac{2}{3} \\ = 0.66[/tex]

Which product is modeled by the number line below?
2
3
4
5
B
7
8
(-3)(4)
(-2)(4)
(2)(4)
(3)(4)

Answers

Answer:

(-2)(4)

Step-by-step explanation:

(-2)(4) because we made four ”steps” of the lenght of two on the left

A circle has a circumference of 12. What is the area of the circle and how do you find it?

Answers

Answer:36cm

Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²

a) Diameter is 12cm

; (b) radius is 6cm

; and (c) area is 36πcm2.

Explanation:If r is the radius of a circle, then its circumference is 2πr

and area is πr2.

As circumference is given to be 12π, we have 2πr=12π

or r=12π2π=6cm.

As such radius is 6cm

and diameter being double of radius, diameter is 2×6=12cm.

and area is π×62=36 cm2

.

Q. factorize by regrouping the expression
xy-2x+3y-6

Answers

Answer:

xy-2x+3y-6

(xy-2x) (3y-6)

x(y-2) 3(y-2)

(x+3) (y-2)

hope this answer helps you.....

Use a number line to add and subtract.

+7 + (-3)=

Answers

Answer:

4

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

How to find the area of each trapezoid step by estep

Answers

Area of a trapezoid is the picture below:
With that being said you just plug the numbers into the formula. I recommend using a calculator.

1. A = 1.5 + 3.3 / 2 x 2.9 = 6.96in^2

2. A = 0.6 + 2 / 2 x 2 = 2.6in^2

3. A = 1.4 + 4 / 2 x 3 = 8.1in^2

4. A = 1.6 + 4 / 2 x 2 = 5.6m^2

Hope this helped!

Help me pleaseeeeeeeeeee

Answers

Answer:

I'm pretty sure it's a

Step-by-step explanation:

step by step

Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55

Answers

Answer:

16

Step-by-step explanation:

because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16

71-(27+28)

Answer:

Grace sold 16 tickets.

Step-by-step explanation:

We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.

Please Help! Trigonometry Problem:
find the solution in 0< x < 2π
cos 2x = 2sinx

Answers

Answer:

[tex]\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}[/tex]

Or their approximations:

[tex]x\approx \left\{0.375, 2.767\right\}[/tex]

Step-by-step explanation:

We are given:

[tex]\cos(2x)=2\sin(x)[/tex]

And we want to find the solution in [0, 2π).

Recall the double-angle identities for cosine:

[tex]\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]

We will use the third version. Hence:

[tex]1-2\sin^2(x)=2\sin(x)[/tex]

Move all terms to one side:

[tex]-2\sin^2(x)-2\sin(x)+1=0[/tex]

This is now in quadratic form. For simplicity, let u = sin(x):

[tex]-2u^2-2u+1=0[/tex]

Solve for u. Simplify:

[tex]2u^2+2u-1=0[/tex]

By the quadratic formula:

[tex]\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}[/tex]

Evaluate:

[tex]\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366[/tex]

Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)

Back-substitute:

[tex]\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}[/tex]

Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:

[tex]\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375[/tex]

Using reference angles, the other solution is:

[tex]\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767[/tex]

17 gallons = ? liters

Answers

Answer:

64.345

Step-by-step explanation:

1 gal=3.785

multiply 3.785 x 17

it's all on the picture ​

Answers

Answer:

i believe its 24+12

Step-by-step explanation:

It is 24 + 12 because 4 x 6 is 24 and 4 x 3 is 12. Combine the two and you get the equation 24+12 as a final answer

Solve for x and show work.

Answers

Answer:

x = 2

Step-by-step explanation:

The four sides of a rhombus are equal.  Thus, 10x + 6 = 4x + 18.

Solve this equation for x:

6x = 12

So, finally, x = 2

I need help with this

Answers

Answer:

y=3/4x +7

Step-by-step explanation:

The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.

To find b, we can plug in the x,y, and given slope.

[tex]4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7[/tex]

so now we can write b and m in the original equation.

which gives us, y =3/4x +7

If correct I’ll give brainlist

Answers

Answer:

should look like this a bit

Step-by-step explanation:

heres another pov

A toy store was selling stuffed animals for $7.00 each. The stuffed animals go on sale and are now sold for $2.50 each. What is the markdown?

Answers

4.50 is the markdown

Classify the triangle based on its angles

Answers

Answer:

The triangle is scalene triangle because its all sides are different

So, you can go with it and

Request :- if you are helped with my answer pls tag me brianliest I really want it.......

THANK YOU.. Plzz see to my request

Find the value of x that will make A||B

Answers

Answer:

15?

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

20 points for correct answer and a brainliest for first correct answer!

Answers

Answer:

D

Step-by-step explanation:

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =

Answers

Answer:

The system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Step-by-step explanation:

Let

x represent the number of polyester-fill bags sold

y represent the number of down-fill bags sold.

In one week the store sold 17 sleeping bags

x + y = 17 ...... Equation 1

x = 17 - y

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.

Hence:

$76 × x + $141 × y = $1460

76x + 141y = 1460....... Equation 2

Therefore, the system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12

Answers

Answer:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

translations on a coordinate plane

Answers

Check in my page for questions and someone answer the same question for me

Answer:

check in my page someone will answer it for me

Step-by-step explanation:

then you get your answer


Please help me I’ll mark brainliest:)

Answers

answer: x=5

explanation: use the pythagorean theorem.
13^2=12^2+x^2
169=144+x^2
25=x^2
x=5

Help asap plz!!! 30 points


A human's eyeball is shaped like a sphere with a diameter of 2.5 cm. A
dog's eyeball is shaped like a sphere with a diameter of 1.75 cm. About
how many times greater is the volume of a human's eyeball than the
volume of a dog's eyeball?

Answers

Answer:

I think it is 1.5

Step-by-step explanation:

I'm not that sure sorry :(

Volume of human eyeball is 3 times more than volume of dog's eye .

Given,

Human eyeball diameter = 2.5 cm

Dog eyeball diameter = 1.75 cm

Now,

Firstly calculate the volume of humans eye,

Volume of sphere = 4/3 πr³

r = radius of eyeball

r = d/2

r = 2.5/2

r = 1.25 cm

Volume = 2.60π cm³

Now calculate the volume of dogs eye,

V = 4/3 πr³

r = d/2

r = 1.75/2

r = 0.875 cm

V = 0.893π

Thus from the calculation volume of human eye is more by approximately 3 times .

Know more about volume of sphere,

https://brainly.com/question/21623450

#SPJ4

Find the mean, median, and mode for the following data set.

3, 8, 10, 14, 14, 17

Answers

Answer:

Mean = 11

Median = 12

Mode = 14

Step-by-step explanation:

I hope this helped!

PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by the information in the table?

A)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is more than $300.

B)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is less than $300.

C)The fee at Starlight Bank will always be more than fee at Lakeshore Bank.

D)The fee at Starlight Bank will always be less than the fee at Lakeshore Bank. Bank Monthly fee Starlight

Starlight: 1% of checking account balance
Lakeshore: $3

Answers

a is the answer i took the test

Find the midpoint of the segment with the following endpoints.
(10,1) and (3,-6)

Answers

Answer:

(13/2,-5/2)

Step-by-step explanation:

I hope this helps


What are equivalent equations? How do you find them? Write a few sentences describing them

Answers

Answer: Equivalent equations are equations with identical solutions. You can find them by simply simplifying an equation.

EXAMPLE:

1 + 2 + 3 = 5x

An equivalent equation would be 3 + 3 = 5x

The graph of the function B is shown below. find B(1).

Answers

Answer:

B(1) = 2

Step-by-step explanation:

Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.

If anyone wants to help that would be awesome 40 points for the the 2 people who answer and brainlest for the person who s correct. Thank You!
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn? 1)Approximately 68%
2) Approximately 75%
3)Approximately 95%
4)99.7%

Answers

Answer:

Your answer is approxamantly 68%

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST

Answers

B because 5/250 = .02 so 2% of middle school students are 10 years old
Other Questions
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answersIdentify the sentence parts by placing the red abbreviations in their correct locations. Put parentheses around theprepositional phrases. Identify the subject, verb, and any complements (direct object, indirect object, subjectcomplement, objective complement)SJason had a birthday party at his favorite Mexican restaurant.v s ||LV|SC|DO| 10 OC A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice. 1.Why do you think the agricultural revolution led to more population growth? Hudson invested $8,400 in an account paying an interest rate of 5.4% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 13 years? Please help Ill mark brainliest (Repost because I only got bots last time and I really need help) Im so lost and we didnt talk about this at all in my class, please help The volumes of two similar solids are 512cm^3 and 2,197cm^3. If the smaller solid has a surface area is 960cm^2, find the surface area of the larger solid. PART I: find the similarity ratio by taking the cube root of each volume. Show your work. PART II: Use your answer from Part I to find the ratio of the surface areas. Show your work. PART III: Set up a proportion and solve to find the surface area of a larger solid. Steve flipped a coin 10 times and recorded his results in this chart.Part C: Did Steves EXPERIMENTAL result match the THEORETICAL probability of a coin landing heads up? If the probabilities are not the same, explain at least one possible reason for the difference. Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total? someone help with this math question!! brainly if correct 56 Qu sabes del flamenco? 1. El flamenco es un 2. El flamenco naci en 3. Las sevillanas son un tipo de... 4. Las personas que cantan flamenco se llaman... 5. Las personas que bailan flamenco se llaman... a. estilo musical a. Sevilla a. baile a. cantantes a. bailaores b. baile b. Andaluca b. guitarra b. cantaores b. bailarines Exercise 8-4A (Static) Determining sales and variable cost volume variances LO 8-3 Cherokee Manufacturing Company established the following standard price and cost data. Sales price $ 12.00 per unit Variable manufacturing cost $ 7.20 per unit Fixed manufacturing cost $ 3,600 total Fixed selling and administrative cost $ 1,200 total Cherokee planned to produce and sell 2,000 units. Actual production and sales amounted to 2,200 units. Required Determine the sales and variable cost volume variances. Classify the variances as favorable (F) or unfavorable (U). Determine the amount of fixed cost that will appear in the flexible budget. Determine the fixed cost per unit based on planned activity and the fixed cost per unit based on actual activity. Also how eating disorders can affect your overall health? I NEED THIS ASAP!! The average length of a female dolphin is about 171 inches (in). What is this length in feet (ft) and inches (in)? What does efulefu mean--the people who have converted to Christianity? Where are the places these minerals are found: Gold, Limestone and kaiolin. Describe a situation when you have learned from dialoguing or working with others. What did you learn from this person. How was your experience improved through collaboration. How can you make the most out of collaborative situations? PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .! Sam has a loan for $1200 at a rate of 9% annually. How much interest will he pay in 5 years? A) $54.40 B) $108.00 Eliminate C) $540.00 D) $1740.00 A friend of mine came to see me one day and told me a story of how he met his identical twin that he never knew about. When I questioned him about the details, I got some information about the two men.John Smith (my friend)DOB: 11/12/77Height: 61Eyes: BrownHair: BrownDave Jones (suspected twin)DOB: 11/11/77Height: 61Eyes: BrownHair: BrownWhat should I tell him about his twin? PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION. just a simple answer please :(