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

In This equation what is the common ratio f(x) = 10 x 3^x

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The ratio is ...

  f(x+1)/f(x) = (10·3^(x+1))/(10·3^x) = 3^(x+1-x) = 3^1 = 3

The common ratio is 3.

_____

As you may have noticed, it is the base of the exponential term.

As part of a survey, 500 boys were asked to name their favorite car. The results showed that 30 of the boys named a Corvette as their favorite car. What percentage of the boys in the survey named a Corvette as their favorite car?
A-6%
B-0.6%
C-60%
D-40%

Answers

A-6%
30 ÷ 500 = 0.06 = 6%

help me pleaseeeeeeeeeeeeeeeeeeeeeeeee!!!!

Answers

Answer:

39 is sydney age

39 +39 is 78 and they said two times

ok i give you free point answer this good luck ​

Answers

Answer:

120

Step-by-step explanation:

Answer: 120

12 x 10 = 120

A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
What is the approximate area of the paved walkway?

Answers

Given:

Outer diameter = D = 80 ftInner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.

Answers

Answer:

2.5 mm

Step-by-step explanation:

will give brainliest What are the coordinates of Point A?
A) (1, 2)
B) (-1, 2)
C) (2, 1)
D) (1, -2)

Answers

Answer:

A= (1,2)

Step-by-step explanation:

I hope this helps

have a nice day/night

mark brainliest please :)

Answer:

A) (1, 2)

Explanation:

The origin is (0, 0), where the y-axis and the x-axis intercept (the two lines). You find the coordinates by measuring the point's distance on the both lines from the origin. On the x-axis, (horizontal, the one that goes from left to right) the point is 1 unit to the right, so the x is 1. On the y-axis (vertical, the one that goes from up to down), the point is 2 units to the right, so y is 2. The combined coordinate is (1, 2).

3(4) divided by ( 14-5 ) x 2

Answers

Answer:

it is 2.6 that is the answer

Question 9 of 10
Which of the following equations is an example of inverse variation between
the variables x and y?

Y=x/3
Y=3x

Answers

Answer:

1st one........,..............

Analyze: 30 + 11 when c=4

Answers

It would be 23 because 3(4) + 11 would convert to 12 + 11 giving you 23

Answer:

23

Step-by-step explanation:

3c + 11

3(4) + 11

12 + 11

23

I NEED HELPP!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST!!
There needs to be an explanation!!!
So if you don't have one don't answer!

Answers

Answer:

i think its b

Step-by-step explanation

because there are 6 slices and there is 1 red soo

i think its b

sorry if its wrong

but i think its b

Find the volume of a cylinder in cubic feet

Answers

Answer:

4398.23

Step-by-step explanation:

An annual zoo pass costs $43.25 per person. If the zoo earned $3762.75 by selling passes, write an
equation to find the total number of people (p) who bought a pass.

Answers

$43.25 (p) = $3762.75 87 people bought a pass

answer this please i need this​

Answers

Answer:

x=121°

Step-by-step explanation:

the sum of angles in a triangle always equal 180°

that means that 22°+37°+x°=180°

so we solve the equation by isolating the variable

add 22 and 37 together

59°+x°=180°

subtract 59 from both sides

x=121°

that means that x is 121 degrees

hope this helps!

The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?

Answers

Answer: 18 miles west

Step-by-step explanation:

The mall is west of the highway.

The hospital is then west of the mall.

If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.

The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.

The distance between the hospital and the highway is therefore:

= 12 + 6

= 18 miles west

The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?

Answers

Answer:

180cm^3

Step-by-step explanation:

Given data

Height b=15 cm

Base a= 6cm

The expression for the volume of a pyramid is

V=a^2h/3

Substitute

V= 6^2*15/3

V= 36*5

V=180cm^3

Hence the volume is  180cm^3

i still haven't finished this and it's due today. i really would appreciate some help .

Answers

A
x X x
= x^2

B
20 x 20 = 40

C
100 / 40 = 2.5 per square inch

Functions f(x)16x^2
G(x) 1/4 sq root x

Answers

Answer:

x

x

are the same

Step-by-step explanation:

when you plug in g(x) into f(x)

f(x)=16((1/4)(x)^.5)==x

then vice versa

g(x)=(1/4)((16x^2)^.5)==x

They are the same and, therefore, inverses of each other.


What values of x and y make BCD ~UST?

Answers

Step-by-step explanation:

c a


If the hypotenuse of a right triangle is 8 and one leg is 6, what is the length of the other leg?

Answers

Answer:

5.3

Step-by-step explanation:

pythagorean theory :,)

[tex]a^{2} + b^{2} = c^{2}[/tex]

the legs are [tex]a[/tex] and [tex]b[/tex], while the hypotenuse (the longest side) is [tex]c[/tex]

fill in the equation with the information u have and simplify so

[tex]a^{2} + 6^{2} = 8^{2}[/tex]

[tex]a^{2} + 36 = 64[/tex]

now get the variable ([tex]a[/tex]) by itself

[tex]a^{2} + 36 = 64\\[/tex]

(subtract 36 on both sides)

[tex]a^{2} = 28[/tex]

[tex]a = 5.3[/tex]

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)

I need help ASAP please

Answers

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

12. John is driving at 35 mph and speeds up to 45 mph in one hour. What is John's acceleration?
13. If an object is at rest and starts to move at 8 m/s in 2 seconds What is the objects acceleration?
14. If an object is moving at 8m/s and slows down to a stop in 2 seconds. What is the objects acceleration?
MacBook Air

Answers

The first one is 10 mph
The second one is 8 m every 2 seconds

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis
calculates the new total price including tax. How much money will Louis save on the total cost because of the markdown?

Answers

Answer:

$82

Step-by-step explanation:

make 25% into a decimal which equals .25, then do 328. x .25 which equals $82


A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?

Answers

Answer:25.0

Step-by-step explanation: 5.0 times 5.0

Which expression is the equivalent to 23 1/2?

Answers

Answer:

Step-by-step explanation:

Recall that the quantity 25^(1/2) with fractional exponent 1/2 can be rewritten in the equivalent √25.  In other words, the exponential form

25^(1/2) has the same value (outcome) as does √25.

In general, b^(1/a) is equivalent to (index a root of b).

[tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]

What is Expression?

An expression is combination of variables, numbers and operators.

Equivalent expression is the expression whose value will be same when we simplify.

The given expression is Twenty three power one by two.

[tex]23^{\frac{1}{2} }[/tex]

By the exponential property.

Root of twenty three is expression equivalent to twenty three power of one by two.

[tex]\sqrt{23}[/tex]

Hence, [tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

PLEASE HELP!!

You and your 8 friends decide to draw straws for a prize. There are 8 long straws and 1 short straw. Describe how the theoretical probability of drawing the short straw changes as each friend picks a straw.

Answers

Answer:

the total of straw are going to be 9 and there will be a 1/9 chances of getting the short straw. while each friend picks a straw the probability of getting a short straw is going to be higher because the amount of straws are going to be lessened.

Answer all of these questions please and you will get 100 points!

Answers

Answer:

The first one is the first picture.

The second answer is zero.

I don't know how 2 do the 3rd sry

Step-by-step explanation:

The measures 4, 5, and 7 create a right triangle. True False

Answers

False.

Hope This Helps You!

Good Luck Studying ^-^

Answer:

False

Step-by-step explanation:

Please help me!
[One Step Inequalities]

Answers

I think ur answer B.) srry if wrong .

Also i have something important to say.

(You may or may not heard of it.)

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If you see this link don't click it. IT will send a virus and download bad stuff on your device. Please repost so people wont fall for it. Have a good day or night. <3

Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $34.04. He spent $4.22 on the trading cards. He bought 6 action figures that cost the same amount. What equation can be used to determine the cost,a,of each action figure?

Answers

$34.04 - $4.22 = $29.82
$29.82 ÷ 6 = A
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