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antiseptic1488 [7]
3 years ago
9

Can you show me how to reduce 99/143?

Mathematics
2 answers:
Rudiy273 years ago
6 0
To reduce a fraction fully, divide the denominator and numerator by their greatest common factor.

Factors of 99: 1, 3, 9, 11, 33, 99
Factors of 143: 1, 11, 13, 143
Common Factors: 1, 11
Great Common Factor: 11

\frac{99}{11}=9 \\  \\  \frac{143}{11}=13   \\  \\  \frac{99}{143} = \frac{9}{13}
kodGreya [7K]3 years ago
4 0
99|3\\33|3\\11|11\\.\ 1|\\99=3\times3\times\fbox{11}\\\\143|11\\.\ 13|13\\.\ \ 1|\\143=\fbox{11}\times13\\\\therefore:\frac{99}{143}=\frac{3\times3\times\fbox{11}}{13\times\fbox{11}}=\frac{3\times3}{13}=\boxed{\boxed{\frac{9}{13}}}
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A new DVD is available for sale in a store one week after its release. The cumulative revenue,
ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

f'(2)/f(2) = 72.13%

Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

f(t)=260ln(t)

After two weeks (t=2), the revenue from sales is:

f(2)=260ln(2)\\f(2) = \$180.22

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week

The relative rate of change is:

\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%

Therefore, Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

5 0
4 years ago
On the coloring sheet, thd a ratio<br> is equivalent to 3/10.
DerKrebs [107]

Answer:

Equivalent ratios:

3 : 10   6 : 20   9 : 30   12 : 40   15 : 50   18 : 60   21 : 70   24 : 80   27 : 90   30 : 100   33 : 110   36 : 120   39 : 130   42 : 140   45 : 150   48 : 160   51 : 170   54 : 180   57 : 190   60 : 200   63 : 210   66 : 220   69 : 230   72 : 240   75 : 250   78 : 260   81 : 270   84 : 280   87 : 290   90 : 300

<u>( Brainlyst will help my rank <3 )</u>

8 0
3 years ago
Does the equation 3(2x−1)+5=6(x+1) have one, none, or an infinite amount of solutions?
EleoNora [17]

Answer: No solutions

Step-by-step explanation: If you solve the problem all the way, you get 0 = 4 which is not valid so there is simply no solution

8 0
3 years ago
Read 2 more answers
Elena has bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each
STALIN [3.7K]
The total number of fish bought was 320. And you know she bought two types of fish. The best way to solve this is guess and check. It would be the fastest. So she bought 7 times as many trigger-fish as parrot fish that means the number of trigger-fish bought was 7p. This means 320 = 7p +p. So all you do is take educated guesses for the number of parrot fish and check if it is right. So if she bought 50 parrot fish. 7(50) + 50 = 400. Close but a bit high. Lets keep guessing. 7(35) + 35 = 245. So now we know the answer is between 50 and 35. So lets try 40. 7(40) + 40 =320. That works so we know she bought 40 parrot fish and 280 trigger-fish.
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3 years ago
2x^3 + 10x^2 − 4x^2y − 20xy
Sergio [31]

Answer:

2x ( x + 5 ) ( x − 2 y )

Step-by-step explanation:

1) factor out 2x from the equation

2) factor out x from the equation

3) factor out -2y from the equation

4) factor out x + 5 from the equation

2x ( x + 5 ) ( x − 2 y )

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