What is the x-intercept of the line with the equation -2x+1/2y=18

Answers

Answer 1

Answer:
The x-intercept is a point on the x-axis.
y=0 at every point on the x-axis.

-2x + 1/2(0) = 18

-2x = 18

Divide each side by -2 : x = -9

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Ralph is 3 times as old as Sara in 4 years, Ralph will be only twice as old as Sara will be then. Find Ralphi's age now

Answers

Answer:

Step-by-step explanation: Let x represents Sara's age, since Ralph is 3 times as old, the Ralph's age will be 3x.

In 4 years time, Sara will be x+ 4 , Ralph will also be 3x + 4

It was said that Ralph will be as twice as Sara's age in 4 years

⇒ 3x + 4 = 2 ( x+4)

⇒ 3x + 4 = 2x + 8

collecting the like terms

3x - 2x = 8 - 4

x = 4

Since x represents Sara's age, then Sara is 4 years and since Ralph is presently 3 times Sara's age, then Ralph's age is 3 x 4 = 12 years

9 1/3x4x6 1/2=?
5 3/4x8x2 1/2=?
Pls answer this two questions tnx!

Answers

$9\frac{1}3*4*6(1)/(2)= \n =\frac{28}3*4*\frac{13}2= \n =(28*4*13)/(3*2)= \n =\frac{28*13*2}3= \n =\frac{728}3 \n \n 5(3)/(4)*8*2(1)/(2)=\frac{23}4*8*(5)/(2)=(23*8*5)/(4*2)=23*5=115$
[EDIT: Replaced x by * since x doesn't look well in typefaced math]

Determine the center and radius of the circle described by the equation. (x+1)²+(y-5)²=36

Answers

Answer:

center: (-1,5)

radius: 6

Step-by-step explanation:

What is the answer to 4x-2=3x+6

Answers

Simplifying 4x + -2 = 3x + 6 Reorder the terms: -2 + 4x = 3x + 6 Reorder the terms: -2 + 4x = 6 + 3x Solving -2 + 4x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8

What is the answer? 6.3 = 0.7x

Answers

Answer:

x = 9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 0.7 from both sides:

6.3 = 0.7x

(6.3)/0.7 = (0.7x)/0.7

x = 6.3/0.7

x = 9

x = 9 is your answer.

Answer:

Step-by-step explanation:

6.3/.7=x

9=x

In a chess match, a win counts as 1 point, a draw counts as 0.5 point, and a loss counts as 0 points. After 21 games between the two players, the winner was 8 points ahead of the loser. How many points did the winner have?PLS HELP

Answers

Answer:

14.5

Step-by-step explanation:

First, let's confirm that total points = total number of games played.

Suppose, if any one of the player wins all the games, then,

total points = 21(1) + 0 = 21 = total number of games

Suppose, all the games end in draw. Then,

21(0.5) + 21(0.5) = 21(0.5 + 0.5) = 21(1) = 21 = total number of games

Suppose, if one player wins in 10 games and the remaining 11 games end in draw, then,

10(1) + 11(0.5 + 0.5) = 10 + 11 = 21 = total number of games

So, in all cases, total points = total number of games played

Now, let x be the points that the loser has.

So, the winner's points should be x + 8.

Total number of games played = 21

Since, total points = total number of games played,

x + (x + 8) = 21

2x + 8 = 21

2x = 21 - 8 = 13

x = 6.5

Winner's points = x + 8 = 6.5 + 8 = 14.5.

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