Answer:
The total number of feet in all the boards is 90 and 5/6 feet
Step-by-step explanation:
First, it is necessary to transform the mixed number into a fraction. This can be made following the next rule:
So, the number 8 and three fourth feet is equal to:
That means that we two boards that are 35/3 feet. So, multiplying 2 by 35/3 we get the total feets for the first type of board. That is:
At the same way, we can calculate the total number of feet for the second and third type of board as:
- Four boards that are 13 and five eighths feet:
- Two boards that are 6 one half feet:
Finally, to find the total number of feet in all the boards, we need to sum the total number of feet for every type as:
Converting this number to a mixed number we get:
Because, when we divide 545 by 6, we get 90 as a quotient, 5 is the remainder and 6 is the divisor.
Answer:
1. z^2
2. 14z
Step-by-step explanation:
- We know that (a^m)^n = a^(mn) = (a^n) ^m
We also know that (a^m)(a^n) = a^(m+n)
- 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>
2. 8 x 6^500 = 8z
And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.
From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>
Answer:
Step-by-step explanation:
6 + y = 13
y = 7
Answer:
Increasing
Step-by-step explanation:
Remember that f(x) is the same as y in slope intercept form y = mx + b.
We don’t have a number for “b” which means the line goes across the origin.
Since 5 replaces m, that is the slope and since it’s positive, it is increasing.
Best of Luck!
