The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.

If the area of the rectangle is 22 square inches, what is the value of the unknown number?

Answers

Answer 1

Given:

Short sides of a rectangle = 2 inches.

Area of the rectangle = 22 square inches.

The long sides of the same rectangle are three less than an unknown number of inches.

To find:

The unknown number.

Solution:

Let x be the unknown number. Then the longer side of the rectangle is (x-3) inches.

We know that the area of a rectangle is

[tex]A=length\times width[/tex]

The area of the rectangle is 22 square inches.

[tex]22=2(x-3)[/tex]

Divide both sides by 2.

[tex]11=x-3[/tex]

Add 3 on both sides.

[tex]11+3=x-3+3[/tex]

[tex]14=x[/tex]

Therefore, the value of the unknown number is 14.


Related Questions

Total surface area??

Answers

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?​

Answers

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

PLEASE HELP ASAP PLEASE​

Answers

The Answer is: 224 m3

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.

Answers

Answer:

Step-by-step explanation:

Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.

miles / day = total distance / number of days

miles / day = 389.2 / 28

miles / day = 13.9 miles per day.  I don't know which answer to use. I'd try this one first and then use the top one.

389/ 28 = 13.89
Round to 14 miles per day

what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((

Answers

Answer:

Deny. Deny. Deny.

Step-by-step explanation:

Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

To learn more about fractions visit:

https://brainly.com/question/78672

#SPJ2

Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Answers

Answer:

[tex]\Huge\boxed{11.9}[/tex]

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

[tex]tan(50)=\frac{x}{10}[/tex]

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]

now we have

[tex]10tan50=x\\[/tex]

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.

What is tangent of an angle?

Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.

Let, the bridge is x ft. long.

Therefore, tan 50° = [tex]\frac{x}{10}[/tex].

⇒ x = 10 × tan 50°

⇒ x = 10 × 1.192

⇒ x = 11.92

Therefore, the bridge is 11.92 ft. long.

Learn more about tangent of angle here: https://brainly.com/question/14346186

#Tag #SPJ2

PLZ NEED HELP ASAP!!!!!!!!....
Choose the inequality that best matches each given situation.

The Garden Club is planting fruit trees in their school’s garden. There is one large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need pound fertilizer each.
A:25 x + 5 ≤ 12
B:1/2 x + 5 ≤ 25
C:1/2 x 25 ≤ 5
D:5 x + 1/2 ≤ 25
NEED HELP

Answers

Im not 100% sure but i believe it would be C

Answer:

im positive you don't need the answer anymore but i'm 96% sure it's B for anyone who's searching up the question

Step-by-step explanation:

(when I answered the question it had a check your answer thing and said B was right)

1÷1+cosa+1÷1_cos a please solve question​

Answers

ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST

Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it take for the car to be worth half of its value?

Answers

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Plssssss help I need an answer

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?

Answers

Answer: $108
Explanation: 7x6 = $42 + 11x6 = $66
It would be 4 sides not 2.
7+7 = 14
11+11 = 22
14 x 6 = 84
22 x 6 = 132
132 + 84 = 216
The trim costs $216

Find a polynomial function that has the given zeros. (There are many correct answers.)
−4, 6

Answers

If polynomial function vanishes at

x

=

a

, then

(

x

a

)

must be one of its factors.

Thus

(

x

7

)

,

(

x

4

6

)

and

(

x

4

+

6

)

are factors of the required polynomial.

The simplest polynomial that satisfies this is

(

x

7

)

(

x

4

6

)

(

x

4

+

6

)

=

(

x

7

)

{

(

x

4

)

6

}

{

(

x

4

)

+

6

}

=

(

x

7

)

{

(

x

4

)

2

6

}

=

(

x

7

)

(

x

2

8

x

+

16

6

)

=

(

x

7

)

(

x

2

8

x

+

10

)

Plz Help I will give Brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8.6 Ft^2

Explanation:

First find the area of the WHOLE square in FEET

2.5 x 4.5 = 11.25 ft

Then we need to find the area of the circle

r = radius

The formula is A = 3.14r^2

The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.

A = 3.14(.9166^2

A = 2.64 Ft

Now we need to find the new total area

11.25 - 2.64 = 8.61 in ^2

Now we need to convert it to the nearest tenth of a square foot

8.6 Ft^2

I hope this helped  !

<!>   Brainliest is appreciated! <!>

-  Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

What type of graph is this

Answers

Answer:

Its a graph to find out the median. Or can be called a box plot

Step-by-step explanation:

There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .

Answers

Answer:

34 because 50 percent of 68 is 34

Answer:

There are 34 red marbles in the bin

Step-by-step explanation:

50% is basically 1/2. So half of 68 is 34.

How would you describe slope 0/-5? Brainliest for best answer!!!

A. positive
B. negative
C. 0
D. does not exist.​

Answers

im pretty sure its c

Please help!!!!

Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021

Answers

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

x = 65°

Step-by-step explanation:

these are vertical angles, which are congruent

145 = 2x + 15

130 = 2x

65 = x

Can some help me with this problem

Answers

answer:

140000

step-by-step explanation:

you multiply 1.40*10^5

which equals 140000

good luck :)

i hope this helps

have a nice day !!

Answer:

140000

Step-by-step explanation:

to write this in regular notation, you move the decimal 5 places to the right (or just multiply 1.4 x 10^5)

Please I need the answer which one is it

Answers

Answer:

33

Step-by-step explanation:

33

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

Help please! What part of the model represents "n" in the
equation?

Answers

The answer is the ball

In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring

Answers

Answer: 60 devils

Step-by-step explanation:

Question wants to know the number of offspring from the two previous breeding seasons.

There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.

We need to find this 75% in whole numbers:

= Percentage of devils from previous seasons * Total number of devils

= 75% * 80 devils

= 60 devils

Someone pls help im new tysm if you do!

Answers

Answer:

-24 is your answer<3.....

the parenthess are just multiplication, so 6*-4 is -24

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?

Answers

Answer:

On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?

Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.

Step-by-step explanation:

Factor completely
16x^2y^4z^3+33xy^8z^5​

Answers

Answer:

xy^4 z^3 ( 16x + 33y^4 z^2)

Step-by-step explanation:

step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out

next y same thing and then last z

with x = left side you x^2 and right side you have x = so u can take x out once left you with x

with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4

with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2

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