Answer: 180.
Step-by-step explanation:
Appetizers = 5 types
drinks = 3 types
Sandwiches = 4 types.
Solution:
This is a combination problem.
For appetizers
= 5C2
= 10.
For drinks
= 3C2
= 3.
For sandwiches
= 4C2
= 6.
No. Of combinations scot can choose for his party
= 10*6*3
= 180
Scot can choose a total of 180 combinations for his party.
308.3 divided by 15 could be estimated by rounding 308.3 down to 300 and dividing that by 15:
300
----- = 20
15
Answer:
x = 10
Step-by-step explanation:
9 is to 45 as 2 is to x
9 ---- 45
2 ---- x
x = 2 . 45 / 9
x = 10
False because x=2 the f =2
Answer:
We know that the area of a square of side length L is given by:
A = L^2
Here, the total area of the white square is:
A = (3x + 1)^2
And the area of the shaded square is:
A' = (2x + 3)^2
a) If we remove the shaded area from the white area, the remaining area is just the difference between the two, then:
area = A - A' = (3x + 1)^2 - (2x + 3)^2
This is the expression we wanted.
b) Now we need to expand and simplify the expression:
area = (3x + 1)^2 - (2x + 3)^2
area = (3x)^2 + 2*(3x)*1 + 1^2 - (2x)^2 - 2*(2x)*3 - 3^2
area = 9x^2 + 6x + 1 - 4x^2 - 12x - 9
area = (9 - 4)*x^2 + (6 - 12)*x + 1 - 9
area = 5*x^2 - 6*x - 8
This is the simplified equation for the remaining area.
