Answer:
576 cubic ft
Step-by-step explanation:
Volume of prism is = area of base of prism * height
given prism is rectangular with length of 8 feet and width of 6 ft
area of rectangle is = length * width
for the given prism area of base = 8 * 6 = 48 square ft
height of prism = 12ft
therefore volume of prism = area of base of prism * height
= 48 square ft *12 ft = 576 cubic ft
The answer is 60. You can find this out by finding the least common multiple of 10 and 12, which is 60 because 10x6=60 and 12x5=60. Hope this helps :)
1,35 3,57
slope = (57 - 35)/(3 - 1) = 11
y = 11 x + b
35 = 11 (1) + b
b= 24
y = 11x + 24
y = 11(5) + 24 = 79
Answer: 32 sandwiches
explanation: well, if one sandwich uses one eighth of a pound of cheese, that means that eight eighths of a pound (i.e one whole pound) would make eight sandwiches. Since we know that there are four pounds of cheese altogether, we can use this ratio (8 sandwiches per every 1 pound of cheese) to calculate that he made 32 sandwiches (8 times 4).
You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
