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guapka [62]
3 years ago
10

What is 0.5% as a decimal and as a fraction in simplest form

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
4 0
0.50 as a fraction and 5/100 as a fraction
Vedmedyk [2.9K]3 years ago
3 0
0.05 as a decimal. 5/100 as a fraction in simplest form
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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
Serggg [28]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1
7 0
3 years ago
A line contains points M(1, 3) and N(5, 0). What is the slope of MN? -4/3 -3/4 3/4 4/3
german

Answer:

Step-by-step explanation:

B

5 0
3 years ago
Read 2 more answers
PLEASE HELP Word problem involving average rate of change
oee [108]

Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

Hope this helps!

Please mark as brainliest if correct!

Have a great day!

5 0
11 months ago
Find the greatest common factor of each set of numbers 12 54
max2010maxim [7]
I hope this helps you

4 0
3 years ago
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The prem
Ne4ueva [31]

Answer:

  • premium: 165 gallons
  • water: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

6 0
2 years ago
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