Answer:
97 in each bag
Step-by-step explanation:
485÷5=97
97*5=485
Answer: he will be able to make 19 full pieces
Step-by-step explanation:
1. Start off by making 7 feet into 84 inches so the measurements can match.
2. Add 4/14 inches and the 1/8 a inch together so you know how much is being taken off 84 inches. The amount will be 35/8 inches.
3. Divide 84 inches by 35/8 inches = 19 1/5
4. The whole number of the answer will be how many boards you can make from the board.
18 (goes down): 17, 16, 15
12 (goes up): 13, 14, 15
The shortest height at which the two stacks of boxes will be the same height is 15.
Hope I was able to help!
Answer:
See below
Step-by-step explanation:
We want to prove that
Taking the RHS, note
Remember that
Therefore,
Once
Then,
Hence, it is proved
Answer:
The equation of the line is 6y = 7x + 23
Step-by-step explanation:
We begin by calculating the slope of the line;
mathematically, the slope is given by;
m = (y2-y1)/(x2-x1)
That would be;
m= (5-(-2))/(1-(-5))
m = 7/6
So the equation becomes;
y = 7/6x + b
We below need to get the value of the y-intercept b
We get this by making a substitution for any of the two points
Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5
Thus, we have
-2 = 7/6(-5) + b
-2 = -35/6 + b
b = -2 + 35/6
b = (-12+ 35)/6 = 23/6
So we have;
y = 7/6x + 23/6
let’s multiply through by 6
6y = 7x + 23
