Work in the rates / minute
wilma:- in 120 minutes she mows 1 lawn
so in 1 minute she mows 1/120 lawn
similarly, Rock mows 1/80 lawn in 1 minute
working together 1/120 + 1/80 = 1/x where x is number of minutes working together
1/20 + 1/80 = 1/48
so 1/x = 1/48
x = 48
answer is 48 minutes
Answer:
f(x) = x(x +4)(x -3)
Step-by-step explanation:
Zeros at -4, 0, and 3 tell you the factorization is ...
f(x) = a(x +4)(x)(x -3)
Then f(2) = a(6)(2)(-1) = -12a.
The graph shows f(2) = -12, so a=1. That makes the function rule:
f(x) = x(x +4)(x -3)
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If you want it multiplied out, it will be
f(x) = x^3 +x^2 -12x
Answer:
600 ft³
Step-by-step explanation:
Given the scale factor 1:4, we know that the smaller prism will be 4 times smaller than the larger prism.
We can calculate the volume of the smaller prism by dividing 2,400 by 4.
2,400/4 = 600
Answer:
I HAVE NO CLUE BUT HAVE A NICE DAY....
Answer:
1430
Step-by-step explanation:
Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.
Hence, we have 13C4.
Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.
Hence we have a 2C1
Therefore:
13C4 * 2C1
=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]
=> 13! ÷ [4! (9)!]
=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]
=> (10 x 11 x 12 x 13) ÷ 24
=> (17160 ÷ 24) * (24 ÷ 6)
=> 715
2! ÷ [1! (2-1)!]
=> 2
Hence, we have 715 * 2
=> 1430
Hence, in this case, the correct answer to the question is 1430
