Answer:
Box X
Step-by-step explanation:
In order to find which box holds the most material, you have to find the volume of each box.
The formula for volume of a prism (or box) is [area of the base] * height. So, you can solve the problem as follows:
Step 1) Find the area of the base for box X (7 * 3). You can use any side as your base, as long as the opposite side of the shape is congruent (which in this case, it is)
Step 2) Multiply the area of your base (21) times the distance between the opposite congruent side (6). (21 * 6) = 126
Step 3) By repeating this process with box Y, you will find that the volume of box Y (10*11) = 110, which is less than the volume of box X.
Since the volume of box X is greater than that of box Y, box X can hold more material.
Answer:
x=5, -1
Step-by-step explanation:
set the equation equal to 0: 2x^2-8x-10=0
divide both sides by 2 to get x^2-4x-5=0
next factor your new equation to get (x+1)(x-5)
set those equal to zero
now you have x+1=0 and x-5=0
finally, solve for x by subtracting 1 and adding 5
now you have your answer x= 5 and -1
Answer:
-1>x
Step-by-step explanation:
-5x - 15 > 10 + 20x
Add 5x to each side
-5x+5x - 15 > 10 + 20x+5x
-15> 10+25x
Subtract 10 from each side
-10 - 15 > 10-10 + 25x
-25> 25x
Divide each side by 25
-25/25> 25x/25
-1>x
1) 15 = 5(x + 2)
15 = 5x + 10
15 - 10 = 5x + 10 - 10
5 = 5x
5/5 = 5x/5
1 = x
2) 5n + 34 = -21(1-7n)
5n + 34 = -21 + 147n
5n + 34 = -21 + 147n
5n - 147n + 34 = -21 + 147n - 147n
-142n + 34 = -21
-142n + 34 - 34 = -21 - 34
-142n = -55
-142n/-142 = -55/-142
n = 55/142