The length of a rectangle is 7 more than twice the width, and the area of the rectangle is 99 yd^2 . Find the dimensions of the rectangle

Answers

Answer 1

Answer:

Width of a rectangle = [tex]\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]18[/tex] yards

Step-by-step explanation:

Let width be [tex]x[/tex] yards.

Length of a rectangle = [tex]7+2x[/tex]

Area of a rectangle = length × width

Put area of the rectangle as [tex]99\,\,yd^2[/tex]

Therefore,

[tex]99=x(7+2x)\\\\99=7x+2x^2\\\\2x^2+7x-99=0\\\\2x^2+18x-11x-99=0\\2x(x+9)-11(x+9)=0\\\\(2x-11)(x+9)=0\\\\x=\frac{11}{2},x=-9[/tex]

Being a dimension, [tex]x[/tex] cannot be negative.

So,

[tex]x=\frac{11}{2}[/tex]

Width = [tex]x=\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]7+2x=7+2(\frac{11}{2})=7+11=18[/tex] yards


Related Questions

Mr. Weiser is making flags of various countries for an international convention. On the flag of Namibia, he sees that the red diagonal band divides the flag into a blue triangle at the top and a green triangle at the bottom. He measures the three sides of the triangle to be 66 centimeters, 112 centimeters, and 130 centimeters. What must be true to prove that the green triangle on the flag of Namibia is a right triangle?

Answers

Answer:

130 centimeters i think

In ΔFGH, the measure of ∠H=90°, GH = 3.8 feet, and FG = 8.5 feet. Find the measure of ∠F to the nearest degree.

Answers

Answer:

F=26.555≈27 degrees

Step-by-step explanation:

sin F = opposite/hypotenuse = 3.8/8.5

sin F = 3.8/8.5

F = sin^-1(3.8/8.5)

(3.8 is opposite of angle F, 8.5 is hypotenuse)

Answer:

Step-by-step explanation:

Clara Maliszewski bought 10, $1,000 Xnet Corporation bonds at 97.297. No
commission was shown. What is the total investment Clara has in the bonds?

Answers

Answer:

Step-by-step explanation:

10 bonds × $97.297/bond = $972.97

True or False: The following set of points could represent a function:
(-2,3), (7,9), (-2,1), (9,7), (4,9), (-3,-2)

Answers

FALSE it will not because there are two points with the same X value

BRAINLY Ez 4 & 5 if possible formula is (4/3)(/pi)(R)^3

Answers

Answer:

............

Step-by-step explanation:

Charlie is charging his tablet. The graph shows how long it takes for his tablet to charge. Use the graph to answer Parts A-D.
Part A: What is the constant of proportionality?
Part B: What does the point (10,50) mean in the context of the problem?
10
per 50
Part 2: Write an equation that can be used to represent the relationship shown in the graph.

Answers

I just got kicked out of the game and I got kicked out of

Find f(-5) if f(x) = 5x + 11.
A) 4
B) 5
C) 6

Answers

Step-by-step explanation: Since f(x) = 5x + 11, we find f(-5)

by substituting a -5 in for the x in the function to get f(-5) = 5(-5) + 11.

Now just simplify the right side to get -25 + 11 or -14.

So f(-5) = -14.

Enter just the number, no units.

Answers

the answer to the question is 480

103 +98+69+93+117 i think is how it goes easly

Here is another question

Answers

Answer:

19.2 oz

Step-by-step explanation:

Hi! so for the problem you are trying to find out the percentage. To find the percentage of any number you multiply the whole number (in this case 32 oz) by the percent in decimal form (in this case 60% is 0.60). So... 32oz x 0.60 is 19.2 oz. Hope this helped!

There are 100 cookies and 80 brownies on a dessert table at a restaurant. Of these desserts, 12 cookies and 24 brownies contain nuts. What percentage of these desserts contain nuts?

Answers

Answer:

20%

Step-by-step explanation:

Total number of desserts: 100 + 80 = 180

Number of desserts that contain nuts: 12 + 24 = 36

What percentage is 36 of 180?

To find what percentage a part is of the whole, divide the part by the whole and multiply by 100%.

percent = 36/180 * 100% = 0.2 * 100% = 20%

Answer: 20%

What is the midpoint of the segment with endpoints (5,2) and (3,0)?
(Type an ordered pair. Type an integer or a decimal.)

Answers

Answer:

Step-by-step explanation:

Average of x-coordinates = (5+3)/2 = 4

Average of y-coordinates = (2+0)/2 = 1

Midpoint (4,1)

A container can hold three orange slices. If a company had twenty-six orange slices to put into containers, how many more slices would they need to fill up the last container?

Answers

Answer:

The last container needs one more slice to be filled up.

Step-by-step explanation:

From the question, we know that only 3 oranges can fit into a container.

However, the company has 26 oranges that need to be inside containers.

We can find out the number of containers that will be filled up completely and the remainder left.

We will do this by dividing the number of orange slices available by the number that can fit into a container.

This is 26 / 3 = 8 remainder 2

Therefore, 8 containers will be filled up, with only two oranges left in the last container.

Remember that each container needs up to 3 oranges to be filled up. Since the last container has only 2 orange slices in it, it needs one more slice to be filled up.

3 cm
18 cm
30 cm
3 cm
18 cm

Answers

Answer:

756

Step-by-step explanation:

Area of triangle

[tex] \frac{(18 + 3 + 3)18}{2} = \\ = 24 \times 9 = \\ = 216[/tex]

Area of rectangle

[tex]18 \times 30 = 540[/tex]

Total area

[tex]540 + 216 = 756[/tex]

Help me please!!!!!!!!

Answers

I don’t know ‍♀️ but someone help her/him pls

pls..help having very hard time, actually help <3..lol

Answers

First you have to look at the way the shape is named based on order in each other. ABCD is congruent to GJIH. This means A will be congruent to G, and J will be congruent to B and so on. Same goes with side lengths, so that mean segment GH is congruent to AD based on the order of the name.

So x/3=9
You multiply by 3 on both sides to get x by itself.
So now your answer is x=27

This is due today pls help

Answers

Use Photomath it helps a lot

PLEASE HELLPPPP ASSSAPPP

Answers

there’s an app called photo math where u can take a picture of the problem and it gives u the answer.


hope that helps lol

simplify the following expression 4(8x + 3y)​

Answers

Step-by-step explanation:

4(8x + 3y)

= 4 × 8x + 4 × 3y. [Gets multiplied with 4]

= 32x + 12y (Ans)

GEOMETRY HW: Two dogs are swimming after a ball that was thrown in a pond as shown in the figure. To the nearest tenth, how far from the ball is Molly?

Answers

Answer:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

Answer:

its B

25.4 ft

Step-by-step explanation:

Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
29x+29=29x-1129x+29=29x−1129, x, plus, 29, equals, 29, x, minus, 11

(Choice B)
B
29x+92=29x-1129x+92=29x−1129, x, plus, 92, equals, 29, x, minus, 11

(Choice C)
C
29x+11=29x-1129x+11=29x−1129, x, plus, 11, equals, 29, x, minus, 11

(Choice D)
D
29x-29=29x-1129x−29=29x−11​

Answers

Answer:

All of the options

Step-by-step explanation:

Did it KA

Help ASAP I’ll mark you as brainlister

Answers

The angle of elevation is 63.4

please help out guys!!!!

Answers

Answer:

6,8,10

Step-by-step explanation:

When you do c=√(a^2+b^2)

You find out that 6,8,10 work together

10n - 3n + 5 + 4n - 2

Answers

Answer:

11n + 3

Step-by-step explanation:

10n - 3n + 4n + 5 - 2 =

7n + 4n + 3 =

11n + 3

Hope that helps!

Answer:

11n + 3

Step-by-step explanation:

10n−3n+5+4n−2

divide 2

10n−3n+5+4n−2

multiply separation to 3

ill give brainliest if correct

An expression that is made up of terms, variables, coefficients, and constants is called an _____________ ___________.

Answers

Answer:

Algebraic Expression

Step-by-step explanation:

Hope this helps.

Answer:

Algebraic expression

Step-by-step explanation:

An expression containing variables, numbers, and operation symbols is called an algebraic expression.

The percents of students who travel to school by car, bus, and bicycle are shown for a school of 825 students.



a. Write the percents as decimals.

Car:
School bus:
Bicycle:
Question 2
b. Write the percents as fractions in simplest form.

Car:
School bus:
Bicycle:

Answers

A pick A PICK a yes

A line has a slope of 6 and passes through the point (1,4). What is its equation in
slope-Intercept form?
Write your answer using Integers, proper fractions, and improper fractions in simplest form.
y-x-O

Answers

The slope intercept form of the line that passes through the point (1, 4) and has the slope 6 is y = 6 x - 2.

The point that the line passes through is:

(1, 4)

The slope of the line is:

m = 6

The slope intercept form of the line is:

y - y₁ = m (x - x₁)

Substitute the values in the equation, we get that:

y - 4 = 6 ( x - 1)

y - 4 = 6 x - 6

y = 6 x - 6 + 4

y = 6 x - 2

Therefore, we get that, the slope intercept form of the line that passes through the point (1, 4) and has the slope 6 is y = 6 x - 2.

Learn more about slope intercept form here:

https://brainly.com/question/1884491

#SPJ1

Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please

Answers

Answer:

Part A is P

Step-by-step explanation:

Which expression is equivalent to t2 – 36?
Group of answer choices

(t – 12)(t + 3)

(t – 6)(t – 6)

(t + 6)(t – 6)

(t – 12)(t – 3)

Answers

Answer:

(t + 6)(t - 6)

Step-by-step explanation:

(t - 6)(t + 6)

(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)

= t² - 6t + 6t - 36

= t² - 36

so,

t² - 36 = (t + 6)(t - 6)

Find the length of the third side. If necessary, write in simplest radical form. sdquare root of 58 8

Answers

Answer:

√122

Step-by-step explanation:

Find the length of the third side. If necessary, write in simplest radical form. square root of 58 8

let the given sides be;

Hypotenuse = x

Adjacent = √58

Opposite = 8

Using pythagoras theorem;

hyp^2 = opp^2 + adj^2

x^2 = (√58)^2+8^2

x^2 = 58 + 64

x^2 = 122

x = √122

Hence the length of the unknown side is √122

HELP PLZZZZZZZZ!!! :/

Answers

Answer:

2 +2

Step-by-step explanation:

it helps

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