A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an equation that represents this solution.

Answers

Answer 1

Answer: [tex]2x^2-7x=72[/tex] , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

[tex]\Rightarrow\ 2x^2-7x=72[/tex]

Hence, the equation that represents the given situation :

[tex]2x^2-7x=72[/tex]


Related Questions

Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?

Answers

Answer:

The integer that represents the amount of debt she has remaining is $9

Step-by-step explanation:

$15 - $6 = $9

The north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of Earth. The sea floor below the north pole is at an elevation of approximately -2.7 miles. The elevation of the south pole is about 1.7 miles. How far is a person standing on the south pole from a submarine at the sea floor below the north pole?

Answers

Answer:

I LOVE YOU

Step-by-step explanation:

HOOIIIIIIIIIIIIIIIIII

find the sequence of 12, - 88, - 188, - 288 ...

Answers

Answer:

-100 each time

Step-by-step explanation:

One California fan palm tree grew 51 inches in 3 years. A queen palm tree grew 48 inches in 4 years. Which tree grew faster? Complete the explanation. The growth rate of the California fan palm is what inches per year and the queen palm's growth rate is what inches per year. So, the what grew faster.

Answers

Answer:

Queen palm tree grew faster than the California fan palm tree

Step-by-step explanation:

One California fan palm tree grows 51 inches in 3 years

Rate = 51/3 = 17 inches/year

A queen palm tree grows 48 inches in 4 years

Rate = 48/4 = 12inches/year

Clearly the Queen palm tree grew faster than the California fan palm tree as Queen palm tree grows 12inches/year than California Fan palm tree 17 inches/year .

Answer:

the california fan palm

Step-by-step explanation:

you have to know which tree grew faster so you have to know how many inches they grow per year so you have to...

divide 51 by 3 and the answer is 17 inches per year

and divide 48 by 4 and the answer is 12 inches per year

so 17 is greater than 12

What is the volume of a sphere with a diameter of 2.2 ft, rounded to the nearest tenth
of a cubic foot?

Answers

Answer:

V≈5.58ft³     d=2.2 ft

Step-by-step explanation:

V=4  3πr3

d=2r

Solving for V

V=1  6π d3 =1  6·π·2.23≈5.57528ft³

Hope this helps! :D

Answer:

5.6 ft  

Step-by-step explanation:

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=  

3

4

​  

πr  

3

 

\text{radius} = \frac{\text{diameter}}{2} = \frac{2.2}{2}=1.1

radius=  

2

diameter

​  

=  

2

2.2

​  

=1.1

feet

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (1.1)^3

3

4

​  

π(1.1)  

3

 

5.57527976257

Ms. Smith has 50 pieces of candy. She gives Joe 30% of her candy. How many pieces does he get?

Answers

Answer:

15 pieces :)

Step-by-step explanation: 30 percent of 50 is 15

Answer:

35 pieces of candy.

Step-by-step explanation:

30 percent of 50 is 15. 50 minus 15 is 35.

The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function, and why?

Jana’s Math Homework Progress
Minutes
Math Problems Completed
1
3
2
7
3
12
4
16
5
19
It represents a linear function because there is a constant rate of change.
It represents a linear function because there is not a constant rate of change.
It represents a non-linear function because there is a constant rate of change.
It represents a non-linear function because there is not a constant rate of change.

Answers

Answer:

Its D It represents a non-linear function because there is not a constant rate of change.

Step-by-step explanation:

I got then answer from Edge

Answer:

D.) It represents a non-linear function because there is not a constant rate of change.

Step-by-step explanation:

Select the function that represents a geometric sequence.

O A. A(n) = P(1 + i)n - 1, where n is a positive integer

O B. A(n) = P+(n-1)i• P, where is any real number

O C. A(n) = P(1 + i)n - 1, where n is an real number

O D. A(n) = P + (n-1)i• P, where n is a positive integer​

Answers

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The correct option is A.

What is geometrical series?

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

An geometric series is a series where the ratio of any two consecutive term is the same. Therefore, the nth term of a geometric series is given as,

[tex]a_n = a_1 \times r^{(n-1)}\\\\A(n) = P(1+i)^{n-1}[/tex]

Hence, the correct option is A.

Learn more about Geometrical Series:

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Please help! Asap! (Photo)

Answers

Answer: 1 true 2 false

Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong

Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?

This equation represents the data:

2.5(12.75x + 24.50) = 188.75

Big Time Movers worked ________ hours on New Year’s Day.

Answers

Answer:
Big time movers worked 4 hours on New Year’s Day.

Show your work:

2.5 (12.75x +24.50) = 188.75
31.875x + 61.25 = 188.75
31.875x = 188.75 - 61.25
31.875x = 127.50
X = 127.50 / 31.875
X = 4....... 4 hours

Answer:

4 hours

Step-by-step explanation:

I did it on edg2020. Hope this helps

A cook has a scoop that measures ¼ cup. A bread recipe calls for 1 ¼ cups of sugar and 2 ½ cups of flour. The cook uses the scoop to measure and put both ingredients into a bowl. How many total scoops of both ingredients does the cook put into the bowl?

Answers

Given:

A cook has a scoop that measures [tex]dfrac{1}{4}[/tex] cup.

Required sugar for bread recipe = [tex]1\dfrac{1}{4}[/tex] cups

Required flour for bread recipe = [tex]2\dfrac{1}{2}[/tex] cups

To find:

The total number of scoops of both ingredients does the cook put into the bowl.

Solution:

Required amount of sugar and flour for the bread recipe is

[tex]=1\dfrac{1}{4}+2\dfrac{1}{2}[/tex]

[tex]=\dfrac{1\times 4+1}{4}+\dfrac{2\times 2+1}{2}[/tex]

[tex]=\dfrac{4+1}{4}+\dfrac{4+1}{2}[/tex]

[tex]=\dfrac{5}{4}+\dfrac{5}{2}[/tex]

Taking LCM, we get

[tex]=\dfrac{5+10}{4}[/tex]

[tex]=\dfrac{15}{4}[/tex]

Now,

[tex]\text{Number of scoops}=\dfrac{\text{Total amount of sugar and flour}}{\dfrac{1}{4}}[/tex]

[tex]\text{Number of scoops}=\dfrac{\dfrac{15}{4}}{\dfrac{1}{4}}[/tex]

[tex]\text{Number of scoops}=\dfrac{15}{4}\times \dfrac{4}{1}[/tex]

[tex]\text{Number of scoops}=15[/tex]

Therefore, the required number of scoops is 15.

If M<1=3x + 15 and m<2 = 6x + 3 , find x

Answers

6x + 3 = 3x + 15
3x = 12
x = 4

The x is 4.

Which statement is true?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Symmetry,

Option A.) is correct,

=> N has only the Rotational Symmetry.

PLEASE HELP:( asapp!!!!!!!! i’ll mark brainlest

Answers

Answer:

6 * 1/9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

6/9 = 0.66666666666666666666666666666667

6 * 1/9 = 0.66666666666666666666666666666667

more easy math for points

Answers

256*16 is the correct answer here.

Answer:

4096

Step-by-step explanation:

Math

Help plz:))) I’ll mark u brainliest

Answers

Answer:

x=4

Step-by-step explanation:

checked my answer its right

A runner's racecourse has a total distance of . Race officials want to mark the course every with a flag, including one at the finish line. (The starting line does not need a flag.) How many flags are needed? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.

Answers

Complete question :

A runner's racecourse has a total distance of 2.5 mi. Race officials want to mark the course every 200 yd with a flag, including one at the finish line. (The starting line does not need a flag. How many flags are needed?

Answer:

22 flags

Step-by-step explanation:

Given that total distance = 2.5 miles

Marked distance = every 200 yards

Ratio of yard to miles:

1 mile = 1760 yards

Total distance in yards :

Note :

1 mile = 5280 feet

1 yard = 3 feet

Given that:

1 flag per 200 yards

Number of flags :

2.5 miles * (5280 / 1 ) * (1 /3) * (1 / 200) = 22 flags

Similarly ;

Since 1 mile = 1760 yards

Total distance in yards : (2.5 * 1760) = 4400 yards

Number of flags :

Total distance in yards / marked distance

= 4400 / 200

= 22 flags

When y= 234, x= 18. Find the value of x when y= 91.
A. 12.75
B. 4.9
C. 7
D. 33.4
F. 13

Answers

Answer:

C

Step-by-step explanation:

Hey! So first divide 234 by 18 to find a ratio. You would get 13:1. So apply this to y=91. 91/13 is 7.

Solve this to help me

Answers

Answer:

D

Step-by-step explanation:

Hope I helped

What is the value of |4 X -3 + 9| plzzz hurry

Answers

Answer:

|4X + 6|

Step-by-step explanation:

Good job I need point thanks so much have a blessed day

A warehouse received a shipment of 368 bicycles. Each bicycle is in a large box. The boxes are stored in 8 rows. How many boxes are in each row?

Answers

Answer:

46

Step-by-step explanation:

Find y-intercept for 9x-5y=0.

Answers

Answer:

y=-9/5x+0  the y intercept would simply be 0

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

9x-5y=0

9(0)-5y=0

-5y=0

-5y/-5=0/-5

y=0 (y intercept)

9x-5y=0

9x-5(0)= 0

9x=0

9x/9=0/9

x=0 (x intercept)

Hope this Helps :)

Have a good day :)

simplify these like terms please 1-1-1+5x

Answers

Answer:

5x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

1 - 1 - 1 + 5x

Step 2: Simplify

Subtract:                    -1 + 5xRewrite:                     5x - 1

And we have our final answer!

Answer: -1 + 5x

Step-by-step explanation: you have to simplify hope you understand

Not an important question, but math is only something we made, we can change the rules of it and/or how to solve it. So my question is, why do we only have so few people who fully understand all of the math we know of?

Answers

Answer:

HELLO KYRAH IT'S DAISY

Step-by-step explanation:

IM IN UR CLASS

Answer:

We change the rules due to the human mind always wanting to understand though very few people acutall gets its our way of iterperting things that makke sense. The human mind will never take no as a complete answer and willlkeepwondering no matter what

Step-by-step explanation:

please help me......​

Answers

Step-by-step explanation:

Data given

(1,3), (2, 6), (3, 12), (4, 24)

Using the range as sequence

3, 6, 12, 24

Part A

The data is displaying a geometric sequence as each term is rising twice, so the common ratio is 2

Part B

Recursive formula

t₁ = 3

tₙ = 3*2ⁿ

t₅ =3*2⁵ = 3*32 = 96 minutes

Part C

Explicit formula

t(n) = 3*2ⁿ

t(9) = 3*2⁹ = 3*512 = 1536 minutes

The line passing through the points (–2, 12) and (3, –23) intersects the line passing through which of these pairs of points?

Answers

Answer:

The equation is -7x - 2

Step-by-step explanation:

Since it is 5 apart and goes down 35 dividing y 5 you'd get 7 and since it points down it's a negative

What does ∆y represent?

Answers

Answer:

∆ stands for \vartriangle a example of this is A ∆ B (or A ⊖ B) means the set of elements in exactly one of A or B. or {1,5,6,8} ∆ {2,5,8} = {1,2,6} thats all I have for you sorry if this doesn't help

Step-by-step explanation:

It means the change in y

The quadrilateral is a parallelogram. Find the measures of angles 1, 2, and 3.

Answers

Answer:

2= 80 degrees

1= 100 degrees

3= 100 degrees

Step-by-step explanation:

A truck is carrying 102 bushels of onions, 101 bushels of peaches, and 103 bushels of corn. What is the total weight of the crops?

Answers

Answer:

306 is the answer for the question

The total weight of the crops is 304 bushels.

What is addition?

Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the sum of two or more numbers.

Now it is given that,

Weight of onions = 102 bushels

Weight of peaches = 101 bushels

Weight of corn = 103 bushels

Total weight of crops = Weight of onions + Weight of peaches + Weight of corn

Total weight of crops = 102 bushels + 101 bushels + 103 bushels

Total weight of crops = 304 bushels

Thus, he total weight of the crops is 304 bushels.

To learn more about addition :

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Find an equation relating x and y

Answers

Answer:

(3,3) is a 3rd of (6,9)

Step-by-step explanation:

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