<span>Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many muffins did he have at first?
If you take 10 and 11 and add, then you'll have 3/8 of the muffins, so 21/3 is 7 and 7*8 is 56, so you'll have 56 muffins to start. and Leonard gave 35 to his grandmother.</span>
We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference
10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7
Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.
Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,
To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
Answer:
104°
Step-by-step explanation:
If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...
∠NML ≅ ∠NOP = 104°
∠NML = 104°
(5x^3 + 4)(25x^6 - 20x3 +16) remember factoring the cubes?
