He length of a rectangle is 1 inch less than twice it's width. If the width is w inches,which expression gives the length?

The scale of a map (in centimeters) says that 4cm represents 5km.

Firlakuza [10]

Answer:

16/5 or 3.2

Step-by-step explanation:

4cm/5km = x/4km

Cross multiply to find answer

5 0

3 years ago

Given that f(x) = x + 3<br> a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

or

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33$

7 0

8 months ago

Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey

AnnyKZ [126]

Step-by-step explanation:

Let n be the number of nickels that Casey has.

We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.

Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

$\text{Total number of nickels Casey and Megan have}=n+4*n$

Therefore, the expression $n+4*n$ will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

$\text{Total number of nickels Casey and Megan have}=(1+4)n$

$\text{Total number of nickels Casey and Megan have}=5n$

Therefore, Casey and Megan have 5n nickels.

6 0

2 years ago

Plz help fast! worth 100 points

zloy xaker [14]

An equilateral triangle sides are all equal to each other. This means that is one side of an equilateral triangle is x + 3 then the sides of the other two triangles as also each x + 3

The formula for perimeter of a triangle is:

Perimeter = side 1 + side 2 + side 3

Or in the case of an equilateral triangle it would be:

Perimeter = 3(side)

This means that for the formula of this equilateral triangle you have:

Perimeter = 3(x + 3)

If asked the three out side of the parentheses can be distributed, meaning that you multiply the outside number (in this case that is 3) to all the number inside the parentheses (in this case that is x and 3)

Perimeter = (3 * x) + (3*3)

Perimeter = 3x + 9

Both of these are correct:

P = 3(x + 3)

P = 3x + 9

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Read 2 more answers

What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00? 6. 75π in. 2 20. 25π in

Blizzard [7]

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

<h3>What is a circle?</h3>

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

$\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi$

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

More about the circle link is given below.

brainly.com/question/11833983

3 0

2 years ago