Answer:
Step-by-step explanation:
The book has 120 pages, and they read 40 of them.
40 out of 120 = 40/120
Always simplify fractions - in this case we can divide the numerator and the denominator by 40 since they are both divisible by 40:
40/120 / 40 = 1/3
Hope this helps!
Answer:
378
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually , where is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.
The slope of vertical lines is undefined.
I hope this helps!
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
Answer:
45 pound plate = 4
10 pound plate = 8
Step-by-step explanation:
x = 45 pound plate
y = 10 pound plate
x + y = 12 - - - (1)
45x + 10y = 260 - - (2)
x = 12 - y
45(12 - y) + 10y = 260
540 - 45y + 10y = 260
540 - 35y = 260
-35y = 260 - 540
-35y = - 280
y = 280 / 35
y = 8
x = 12 - y
x = 12 - 8
x = 4