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 line that passes through (0 1) and (1 4) is a linear equation
The equation of the points is y = 3x + 1
<h3>How to determine the equation of the points?</h3>
The points are given as:
(x,y) = (0 1) and (1 4)
Start by calculating the slope (m)
m = (y₂ - y₁)/(x₂ - x₁)
So, we have:
m = (4 - 1)/(1 - 0)
Evaluate
m = 3
The equation is then calculated as:
y = m(x - x₁) + y₁
This gives
y = 3(x - 0) + 1
Evaluate the product
y = 3x + 1
Hence, the equation of the points is y = 3x + 1
Read more about linear equations at:
brainly.com/question/1884491
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
%=percent
percent means parts out of 100
20%=20/100
'of' means multiply
20% of 100 units means
20/100 times 100 units=2000/100 units=20 units