Hello, may I please get help with math problem 2/35 ÷3/7 · 9/10

Mathematics

2 answers:

lilavasa [31]3 years ago

4 0

Answer:

599299/5000000

Step-by-step explanation:

2/35 divided by 3/7 times 9/10 =

Convert fraction to decimal

2/35 = 0.057

3/7 = 0.428

9/10 = 0.9

0.057/0.428 times 0.9 =

0.057/0.428 = 0.133

0.133 times 0.9 = 0.1198598

Convert decimal to fraction

0.1198598 =

599299/5000000

Dafna1 [17]3 years ago

3 0

Answer:

I'm not really sure which one you mean, but the exact form is 3/25 and the Decimal form is 0.12

Step-by-step explanation:

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Help ASAP.

denpristay [2]

$1.\\A(n)=-2\cdot5^{n-1}\\\\\text{Find the first, fourth, and eighth terms}\\\text{It means}\ A(1),\ A(4)\ \text{and}\ A(8).\\\\\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{in}\ A(n):\\\\A(1)=-2\cdot5^{1-1}=-2\cdot5^0=-2\cdot1=-2\\\\A(4)=-2\cdot5^{4-1}=-2\cdot5^3=-2\cdot125=-250\\\\A(8)=-2\cdot5^{8-1}=-2\cdot5^7=-2\cdot78,125=-156,250\\\\\boxed{Answer:\ a)\ -2,\ -250,\ -156,250}.$

$2.\\a_1=-6,\ r=2\\\\\text{The formula of a n-th term of geometric sequence}\\\\a_n=a_1r^{n-1}\\\\\text{Substitute:}\\\\a_n=-6\cdot2^{n-1}=-6\cdot2^n\cdot2^{-1}=-6\cdot2^n\cdot\dfrac{1}{2}=-3\cdot2^n\\\\\boxed{Answer:\ A(n)=a_n=-3\cdot2^n}$