So when you factor this the answer would be (1w - 3)(5w + 1) because since 5 is an odd number you have to break it up with us only factores then you find the GCF for 3 and then you have to find the signs that when you multiply them it gives you - 14
The numerator of fraction is 1 less then its denominator if the numerator is increased by 5 the new fraction becomes equivalent
1 answer:
Answer:
4/5
Step-by-step explanation:
the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?
Let n = numerator
d = denominator
n = d - 1
=
=
cross multiply
5(d + 3) = 4(d + 5)
5d + 15 = 4d + 20
d = 5
n = d - 1
5 - 1 = 4
original fraction 4/5
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Answer:
126 different symbols can be represented in Morse code
Step-by-step explanation:
We need to sum up the number of sequences using one single place, two places, three places, four places and so on until sequences of six places (dots and dashes).
For each case we use the fundamental counting principle.
For one single place we may have 2 possible sequences (a dash or a dot)
For two places (example: .. or ._) we may have 2*2 sequences, since each place may be filled with either dash or dot (2 possible ways) and then we multiply the ways each place can be filled, thus
Similarly, for three places we may have 2*2*2 sequences, thus
For four places we may have 2*2*2*2 sequences, thus
And so on.
So, notice the total up to arrangements of six symbols, is: