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Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams
Answer: The unit rate is $25
Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.
Then the equation y = 25x models this relation.
Here the cost is y, and the number of lodgers is x.
We want to find the unit rate.
The actual equation should be in dollars, and the number of lodgers is just a scalar number.
so the equation should be:
y = $25*x
Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.
We already know that the price per lodger is $25, so the unit rate is $25.
We have to use the functions:
h ( x ) = 2 x + 5 and t ( x ) = 7 x - 6
Part A:
( h + t ) ( x ) = ( 2 x + 5 ) + ( 7 x - 6 ) = 9 x - 1
Part B :
( h · t ) ( x ) = ( 2 x + 5 ) · ( 7 x - 6 ) = 14 x² - 12 x + 35 x - 30 =
= 14 x² + 23 x - 30
Part C :
h [ t ( x ) ] = h ( 7 x - 6 ) = 2 · ( 7 x - 6 ) + 5 = 14 x - 12 + 5 =
= 14 x - 7
Answer:
The answer is "triangle ABC is not a right triangle".
Step-by-step explanation:
For a right-angle triangle:
Its square upon on longest or triangular edges is equivalent to the total of the other two squares
Its parameters indicated throughout the question are;
Square of lateral length 
The square of lateral length 
The square of lateral length 
Thus, the longest side is C, as well as the size 
of the squares of its two sides, is
, lower than square 
, hence, the ABC triangle is not correct. Its longest edge is consequently C.
