MATHEMATICS HIGH SCHOOL

A certain vehicle can travel 483 miles on 14 gallons of gasoline. Determine how many gallons of gasoline this vehicle will need to travel 600 miles. Round to the nearest tenth.

Answers

Answer 1

Answer: 483/14=34.5 miles per gallon
600/34.5=17.4 gallons
the vehicle would need 17.4 gallons of gas

Answer 2

Answer: 483/14=34.,5

600/34.5= 17.29130435 (answer) but not wounded

Answer:

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

Step-by-step explanation:

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = $(1)/(2) n(n-3)$

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = $(1)/(2)*9(9-3)$

N = $(1)/(2)*9(6)$

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

Remove the parentheses and simplify the expression. 2(5k-1)-24

Answers

Answer: 10k - 26

Step-by-step explanation:

Our task is to simplify the following expression:

$\sf{2(5k-1)-24}$

First, use the distributive property:

$\sf{2*5k-2*1-24}$

Simplify:

$\sf{10k-2-24}$

Combine the like terms:

$\sf{10k-26}$ {answer} we're done ^^

Solve this..➕+ ➕ + ➕+ ➕=30
Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
U can also repeat the numbers..

Answers

These are all possible combinations:
1 , 1 , 13 , 15
1 , 3 , 11 , 15
1 , 3 , 13 , 13
1 , 5 , 9 , 15
1 , 5 , 11 , 13
1 , 7 , 7 , 15
1 , 7 , 9 , 13
1 , 7 , 11 , 11
1 , 9 , 9 , 11
3 , 3 , 9 , 15
3 , 3 , 11 , 13
3 , 5 , 7 , 15
3 , 5 , 9 , 13
3 , 5 , 11 , 11
3 , 7 , 7 , 13
3 , 7 , 9 , 11
3 , 9 , 9 , 9
5 , 5 , 5 , 15
5 , 5 , 7 , 13
5 , 5 , 9 , 11
5 , 7 , 7 , 11
5 , 7 , 9 , 9
7 , 7 , 7 , 9

There can be a lot many solutions for the above question
some of them are
9+11+5+5=30
it can also be solved as
15+5+5+5=30
also
13+7+5+5=30

Rachel draws a trend line through the following data
points. Did she draw the line correctly?