On a number line there are six spaces. On the first is the number 2, on the last space is the number 42, on the third space is x, solve for x.Thanks!

Answers

Answer 1

Answer: 1st space is 2
6th space (last) is 42
in betwen that is 5 spaces to go
find distance from 2 to 42
42-2=40

40=5 spaces
divide 5
8=1 space
each space goes upby 8

2=1st space
2+8=2nd space
2+8+8=3rd space=18=x

x=18

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Estimate the average annual growth rate of the world population for 1950, 1988, and 2010 using model 17 from the previous page.Model 17. Year Population Growth Rate (%)
1972 1.96
1982 1.73
1992 1.5
2002 1.22

Answers

although I don't see 1950, 1988, or 2010 on your model, I did calculate the average for 1972, 1982, 1992, and 2002: the average that I got was 1.6025 (this answer has not been rounded due to the fact that I don't know if you need to round it)
hope this helps

What is the y-intercept of the line 8x - 5y = -10

Answers

We want to obtaint y=ax+b form, lets do this
8x-5y=-10 /-8x (subtract 8x both sideS)
-5y=-8x-10 /:-5 divide both sides by -5
y= $(-8)/(-5) x+2$
y= $(8)/(5) x+2$ - its the answer

8x-5y=-10
-+5y +5y
------------------
8x=-10+5y
+10 +10
----------------
8x+10=5y
÷5 ÷5
-----------
1.6x+2=y
or Y=8/5x+2

What number needs to be added to both sides of the equation in order to complete the square?

Answers

To complete the square for the equation X^2 + 16X + __ = 18 + __, we need to add 64 to both sides to get the equation X^2 + 16X + 64 = 18 + 64.

To complete the square for the given quadratic equation, we need to add a specific value to both sides of the equation. That specific value is the square of half the coefficient of the X term. In this case, the X term's coefficient is 16, so we need to take half of 16 (which is 8) and square it (which is 64).

So, the number to be added to both sides of the equation is 64.

The completed square equation then becomes: X^2 + 16X + 64 = 18 + 64.

Learn more about Completing the square here:

brainly.com/question/4822356

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The probable question may be:

What number needs to be added to both sides of the equation in order to complete the square?

X^2+16X+____=18+___

Answer:

Step-by-step explanation:

Given x^2 + 16x = 18. Complete the square:

Take half of the coefficient of x (in other words, take half of 16) and square the result: we get 8^2 = 64.

Add 64, and then subtract 64 from x^2 + 16x + 64 = 18 + 64

Then (x + 8)^2 = 82. From this point on it's easy to find the roots, but we were not asked to do so.

The desired number is 64; note that it is (16/2)^2.

a chess player played 20 games total. if he won 2 of the games, what is the ratio of games he lost to games he won?

Answers

$20-2=18\n\sf\nSo,~ he~ lost~ 18~ games.\n\ngames~ lost:games~ won\n\nThe~ ratio ~is \n18:2\n\nWhich~ can~ be~ simplified ~to\n9:1$

1. Find the ratio of the Chess player in where he played a total of 20 games and won 2 of the games.
Ratio is considered as the quantitative relationship between to numbers that show the value of both sides.
Now, in the chess game, there are 20 games in all and he won 2 games. To get the ratio of his lose and win, simply subtract 2 from 20
=> 20 -2 = 18
thus, the ratio of the chess game is
=> 18 : 2
=> 18 is the lose
=> 2 is the win.

Substitution method 2x+8y=20 y=2

Answers

the answer is X=2 if you are trying to find X

Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the probability that the fruit is an orange or a pear? A. 56 B. 23 C. 12 D. 13