Answer:
40,000
Step-by-step explanation:
You want to start with the exponent and then multiply afterward in both of the equations.
8 x 10^-2:
10^-2 = 0.01
0.01 x 8 = 0.08
2 x 10^-6:
10^-6 = 0.000001
0.000001 x 2 = 0.000002
Obviously, you can see the relationship between 8 and 2 in the division. Now, you just divide 0.08 by 0.000002 and you get 40,000.
I think it would require 100 workers since 1 worker digs up 1 yard.
Hope this helps.
Answer: AB is 15
Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:
5x-15+3x-5=28
Add like terms:
8x-20=28
Add 20 to both sides
8x=48
Divide by 8
x=6
Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15
5(6)-15
30-15
AB=15
The March sales of Jazz records is an illustration of proportions, and the number of jazz records sold all year is 7x
<h3>How to determine the total number of sales?</h3>
The sales in March is given as:
Proportion = 1/7
Let the actual number of sales in the month of March be x, and the total sales in the year be y.
So, we have:
1/7 * y = x
Make y the subject
y =7x
Hence, the number of jazz records sold all year is 7x
Read more about proportions at
brainly.com/question/1781657
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Answer: 0.15(40) + 0.6(x – 40) = 0.25(x)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Fifteen percent of the pigment in paint color A is black
15% = 15/100 = 0.15 (decimal form)
0.15 A
Sixty percent of the pigment in paint color B is black
0.6 B
An unknown amount of paint color B is mixed with 40 ml of paint color A,
SO:
0.15 (0.40)
0.6 (x-0.40)
x = total amount of paint in the mixture of the two colors
The result is a paint that contains 25% (0.25 in decimal form)black pigment (x)
0.15(40) + 0.6(x – 40) = 0.25(x)
Feel free to ask for more if needed or if you did not understand something.