Answer:
area of trapazoid= 1/2 × b× h
so = 1/2×9×15
=1/2×135
=67.5cm
Solve the equation 1/30 + 1/45 = 1/x
where x is the required time
multiply thru by 90x:-
3x + 2x = 90
x = 90 / 5 = 18
answer 18 minutes
15% = 3/20
Therefore, 15% of 60 is:
3/20 * 60
= 180/20
= 9
You are asked to find the team score, so it is convenient to let a variable represent that value. Let's call it "s", for "score". The problem statement tells you
.. Michaela scored s/5 . . . . . one fifth of the team's points
.. Aleah scored s/10 . . . . . . . one tenth o the team's points
These scores together are (s/5 +s/10) and that amount is 42 points.
.. s/5 +s/10 = 42
.. s(2/10 +1/10) = 42 . . . . . factor out s
.. s(3/10) = 42 . . . . . . . . . . form the sum of the numbers in parentheses
.. s = 42*10/3 = 140 . . . . . multiply by the inverse of the coefficient of s
The team scored 140 points.
______
Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.
