Step-by-step explanation:
a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.
while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :
top and bottom
left and right
front and back
all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.
your remember, the area of a rectangle is
length × width
in our case we have
top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²
left and right : 2.5×5 × 2 = 12.5×2 = 25 in²
front and back : 11.5×5 × 2 = 57.5×2 = 115 in²
so, the total surface area of the whole block is
57.5 + 25 + 115 = 197.5 in²
4 500-60 = 4 440
4 440/38 = 116.8
At most they would be able to invite 116 people to the reception with their budget.
Answer:
Step-by-step explanation:
3(m+2)+4(6+m)
3m+6+24+4m
3m+4m+6+24
7m+30
--------------------
5(2p+5)+4(2p-3)
10p+25+8p-12
10p+8p+25-12
18p+13
7x+2x= 54
9x= 54
X=6
Black 7(6)=42
White 2(6)=12
=54
Answer:
f(x)=1/4(4)^(x-1) -4
Step-by-step explanation:
The negative value for x=2 tells you that the vertical offset cannot be positive. That rules out the 1st and 3rd choices.
You can try x=2 in the remaining functions to see which works:
f(2) = 4(4^(2-1)) -4 = 12 ≠ -3 . . . . . . . . the 2nd choice does not work
f(2) = (1/4)(4^(2-1) -4 = -3 . . . . . . . . . . the 4th choice matches the table
