2x+32 is equivalent to the expression 3x+10-x+12
Answer:
11 units
Step-by-step explanation:
Let's do it this way:
Length = l
width = w
initial equation for area is l * w
We know that l = w+5
substitute.
w+5 * w = 36
solve.
6w = 36
w=6
The width is 6 units.
6+5 = 11
length = 11 units
Answer:
(a) 40,320
(b) 576
Step-by-step explanation:
(a) We are asked to find the number of orders in which four girls and four boys can walk through a doorway single file if there are no restrictions.
Since there are 8 people in total, so they can walk in 8! ways.
Therefore, four girls and four boys walk through a doorway single file in 40,320 ways.
(b) To find the number of ways in which four girls and four boys can walk through a doorway single file if the girls walk through before the boys.
The total number of ways would be equal to product of 4 girls walking first and 4 boys walking after.
4 girls can walk first in 4! ways and boys can walk after in 4! ways as well.
Therefore, four girls and four boys can walk through a doorway single file if the girls walk through before the boys, in 576 ways.
Answer: 19
Step-by-step explanation:
Calculate the area of the room by multiplying 16 by 20. It'll give you 320, therefore the rug is too big