answer
congruent trapezoide for one
0,5(9+12)×1,5=15,75
area of picture frame =4×15,75=63
Answer:
1680
Step-by-step explanation:
Considering repeatition is not allowed.
We can use permutation to reach to the required answer.
Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.
Therefore, Total numbers = 5×8×7×6 = 1680
Answer:
False.
Step-by-step explanation:
Because we have to isolate y and subtracting 2 will not put y alone on one side.
We have to subtract 2x in order to solve for y.
Answer:

Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
= 
Answer:
Step-by-step explanation:
Number of adults = a
Number of children = c
Total people = 430
a + c = 430 --------------(I)
Total amount =$890
3a + c =890 -----------(II)
Multiply equation (I) by (-1)
(I)*(-1) -a - c = -430
(II) <u>3a + c = 890</u> {Now add and thus c will be eliminated}
2a = 460
a = 460/2
a= 230
Plug in the value of a in equation (I)
230 + c = 430
c = 430 - 230
c = 200
Number of adults = 230
Number of children = 200