divide and write your answer in scientific notation. be sure to write your answer with the multiplication 'x'. (8*10^5) divided by (20*10^7)

Answer 1

First, we need to divide the numbers: 8 divided by 20 is 0.4.

Then, we divide the powers of 10: (10^5)/(10^7) is equal to 10^(5-7) which is 10^(-2).

Now, we multiply the two results together: 0.4 x 10^(-2) = 0.4 * 0.01 = 0.004

Therefore, (8*10^5) divided by (20*10^7) = 0.004 in scientific notation.

Answer 2

1. find the distance between point A(5,8) and B(9,1). round your answer to the nearest tenth

The distance is about__units

2. find the value of x if A=3x, B=2x+4, and C=5x+6

x=__

3. order the scientific notation values into the correct order of largest to smallest.

8.24*10^8
7.4*10^9
7.4*10^8

4. write an equation from slope-intercept form (y=mx+b) from the table below.

x:
0
2
4
6

y:
5
1
-3
-7

the equation of the table above should be: y__x+__

Answer 3

1. To find the distance between points A(5,8) and B(9,1), we can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we get:

Distance = √((9 - 5)^2 + (1 - 8)^2)
Distance = √(4^2 + (-7)^2)
Distance = √(16 + 49)
Distance = √(65)
Distance ≈ 8.1 units (rounded to the nearest tenth)

Therefore, the distance between points A(5,8) and B(9,1) is about 8.1 units.

2. Given A = 3x, B = 2x + 4, and C = 5x + 6, we can equate two of these expressions to find the value of x.

Let's equate A and B:

3x = 2x + 4

Subtracting 2x from both sides:

3x - 2x = 2x - 2x + 4
x = 4

Therefore, x = 4.

3. To order the scientific notation values from largest to smallest, we compare the coefficients (the numbers in front of 10):

7.4*10^9
8.24*10^8
7.4*10^8

Starting from the largest coefficient, the correct order is:

7.4*10^9, 8.24*10^8, 7.4*10^8

4. To write the equation from slope-intercept form (y = mx + b), we need to find the values of m (slope) and b (y-intercept).

Given the table of values:

x: 0, 2, 4, 6
y: 5, 1, -3, -7

We need to find the slope (m). Slope is determined by the change in y divided by the change in x. Using points (0, 5) and (6, -7):

m = (y2 - y1)/(x2 - x1)
m = (-7 - 5)/(6 - 0)
m = -12/6
m = -2

Now we can use the slope-intercept form (y = mx + b) and substitute the slope and any of the points to solve for b:

5 = -2(0) + b
5 = 0 + b
b = 5

Therefore, the equation for the table is:

y = -2x + 5

Answer 4

5. multiply and write your answer in scientific notation. be sure to write your answer with the multiplication 'x'.

(1.25*10^5)*(9.2*10^2)

__

6. solve the following inequality

5x+4 < 12

x < __

7. write in scientific notation 395,000,000

the number in scientific notation is__

8. order the scientific notation values in correct order from largest to smallest

3.4*10^-3
3.4*10^-1
3.4*10^-2

Answer 5

5. To multiply (1.25*10^5) and (9.2*10^2), we can multiply the coefficients and add the exponents:

(1.25*10^5)*(9.2*10^2) = (1.25*9.2)*(10^5 * 10^2) = 11.5 * 10^(5+2) = 11.5 * 10^7

Therefore, (1.25*10^5)*(9.2*10^2) = 11.5*10^7.

6. To solve the inequality 5x + 4 < 12, we need to isolate x.

Subtracting 4 from both sides:

5x + 4 - 4 < 12 - 4
5x < 8

Dividing both sides by 5:

(5x)/5 < 8/5
x < 8/5

Therefore, x < 1.6.

7. To write 395,000,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to its left. This will result in a coefficient between 1 and 10.

395,000,000 = 3.95 * 100,000,000

In scientific notation, this is 3.95 * 10^8.

Therefore, 395,000,000 in scientific notation is 3.95*10^8.

8. To order the scientific notation values from largest to smallest, we compare the coefficients (the numbers in front of 10):

3.4*10^-3
3.4*10^-2
3.4*10^-1

Starting from the largest coefficient, the correct order is:

3.4*10^-1, 3.4*10^-2, 3.4*10^-3