3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.
1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2
*
10
^
3
=
÷
4
*
10
^
(-1)
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.
1200 * 10^1
12000
Now you are still left with 4 in the denominator.
12000/4 = 3000.
The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.
Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.
They total 94,500:
x+2x+4x = 94500
7x = 94500
Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
Answer: B. 4
Step-by-step explanation:
First, I did the equation out.
Second, I simply it all the way through.
Third, to get 4
Answer:
12 units
Step-by-step explanation:
Because the two triangles are similar:

Hope this helps!