Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
Answer:
The value of 
Step-by-step explanation:
Given that 
now to find
from the given functions f(x) and f'x
let 
Then put x=1 in above function we get

(from the table f(1)=3 and f(3)=6)
Therefore h(1)=6
Now to find h'(1)
Let
(since
)
put x=1 in above function we get

(From the table
and
)

Therefore 
Answer:
2 pounds.
Step-by-step explanation:
We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.
First of all, we will convert 256 ounces into pounds.
We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.


Therefore, Luke put 2 pounds strawberries on each pie.
Answer:
is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by

where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula




substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.




Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function



Thus,
is the required equation.
Therefore, the second option is true.
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10