Double the difference of a number n and 3 is -10. Which equation models this "number riddle" correctly?

Montano1993 [528]

9x-3x-5-3=2x-12
12x -8 =2x-12
-2x. -2x
10x. -8. =-12
+8. +8
10x. = -4
X = -0.4

3 0

3 years ago

Lalasa and yasmin are designing a triangular banner to hang in the school gymnasiums. They first draw the design on paper. The t

jasenka [17]

The triangle on paper is 5 inches wide by 7 inches high.

If 1 inch on paper is equal to 1.5 feet on paper, then you need to multiply all dimensions by 18 because 1.5 feet is equal to 18 inches and you are getting 18 inches on the real banner for every inch on the paper banner. 

5 * 18 = 90 inches from the base of the rear triangle.
7 * 18 = 125 inches for the height of the rear triangle. 
The area of the paper triangle will be 5 * 7 / 2 = 35/2 square inches.
The area of the rear triangle will be 90 * 125 / 2 = 5625 square inches. 

regarding feet:

The base of the real banner will be 125/12 = 10.41666666....... feet.
the height of the real banner will be 90 / 12 = 7.5 feet.
the area of the real banner will be 5625 / 12^1 = 5625 / 144 = 39.0625 square feet.

3 0

3 years ago

(x+2y = 10 16y=-3x+30

Harlamova29_29 [7]

Answer:

x = 10, y = 0

Step-by-step explanation:

x + 2y = 10

x = 10 - 2y (Bring the 2y to the right)

16y = -3x + 30

16y = -3(10 - 2y) + 30 (Substitute x to 10 - 2y)

16y = -30 + 6y + 30 (Expand brackets)

10y = 0 (Bring y to the left)

y = 0

x = 10 - 2(0) (Substitute y = 0)

x = 10

x = 10, y = 0

7 0

3 years ago

Curtis plays a trivia game he earns 2 points for each correct answer and loses 0.25 points for each incorrect answer he get 21 c

Maslowich

Answer:

41

Step-by-step explanation:

Curtis is playing a trivia game.

Number of points earned for each correct answer = 2

Number of points lost for each correct answer = 0.25

Given that:

Number of correct answers given by Curtis = 21

Number of wrong answers given by Curtis = 4

To find:

Total score of the game by Curtis?

Solution:

First of all, let us find the points earned by correct answers.

Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.

Points earned by correct answers = 21 $\times$ 2 = 42

Now, let us find the points to be lost by wrong answers.

Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.

Points lost by wrong answers = 4 $\times$ 0.25 = 1

The score of the game can be calculated by subtracting the points lost from the points earned.

Score = 42 - 1 = 41

3 0

3 years ago

6-(-12)= 1/2 ÷ 3/4= Plz answer quickly!

muminat

6-(-12)=18

1/2 ÷ 3/4=2/3

4 0

3 years ago