Ask question

Ask question

All categories

3 years ago

6

Ryan is thinking of a number. when he multiples this number by 6 and then subtracts 15 from it, he ends up with his original num

ber. what is the number?

1 answer:

NemiM [27]3 years ago

5 0

Answer:

3

Step-by-step explanation:

3 times 6 is 18. Subtract 15 from 18 and you get 3.

3 * 6 = 18 - 15 = 3.

I hope that helps.

You might be interested in

What degree of rotation is represented on this matrix

Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, $-90^{\circ}$

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

$R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$

Given the matrix: $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

Now, equate the given matrix with standard matrix we have;

$\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}$ = $\begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$

On comparing we get;

$\cos \theta = 0$ and $-\sin \theta =1$

As,we know:

$\cos \theta = \cos(-\theta)$

$\sin(-\theta) = -\sin \theta$

$\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

and

$\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})$

we get;

$\theta = -90^{\circ}$

Therefore, the degree of rotation is, $-90^{\circ}$

7 0

3 years ago

An ice cream shop has 3 ice cream flavors, 3 syrup flavors and three toppings.

77julia77 [94]

Answer:

c. 18 because 6x3=18

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Using the scale given 1cm = 8km. Hatboro and Smithville are 24cm apart on the map. What is their actual distance (km) between th

harina [27]

Answer:

They are 192 km apart.

Step-by-step explanation:

? = unknown value

We can use the equation

? km = ?cm * 8

Or ratio

1/8 (What do you multiply 1 by to get to 8? 8. 1 is how many cm there are so if there are 24 cm then we multiply that by 8 as well.)

We have to multiply 24cm by 8 because of the ratio 1:8, 24 times 8 is 192.

8 0

3 years ago

Read 2 more answers

For brainiest:):):):):):):):)

sukhopar [10]

Answer:

Answer for b is BFC and CFD

Answer for c is BFD and BFA

Answer for d is BFD and AFE

I don't know about a sorry

6 0

3 years ago

Read 2 more answers

A rectangular sheet of paper is folded at the corner like the image. Find the value of x. What’s the answer and how do you solve

oksian1 [2.3K]

X = 66°

The area folded over is a right triangle, and its void is a right triangle as well. We have one angle marked 33° and a right angle in the bottom left. This leaves us 180-(33+90) = 180-123 = 57°.

The folded over triangle has the same angle measurements.

We have two angles to the left of x, which form a straight angle with x. Straight angles have a sum of 180°. The angles that form the straight angle with x both have a measure of 57°. This gives us:

180-(57+57) = 180-114 = 66°

7 0

3 years ago