Answer:
9/16
Step-by-step explanation:
First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:
.5625 x 10000
10000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
5625
/10000
The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:
5625 ÷ 625
/10000 ÷ 625
And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:
.5625 =
9
/16
When the length of sides are given, you can use law of cosine to find the angles
Refer to this website for details
https://www.mathsisfun.com/algebra/trig-cosine-law.html
11^=8^2+5^2-2*8*5cosA
-80cosA=32
cosA=-0.4
A is about 114 degree
use the same method to find out B and C, you will get 42 and 25
Divide the amount left by the percentage left:
they sold 35%, so there is 65% remaining.
280 / 0.65 = 430.769
Round to 431
Now check:
431 x 0.35 = 150.85
Round to 151
431 - 151 = 280 left.
They originally had 431 peaches.
&right now I have 120.090901
1. Answer: 60 minutes
<u>Step-by-step explanation:</u>
Faucet A: 140 milliliters/min = 0.140 liters/min
Faucet B: 100 milliliters/min = 0.100 liters/min
Let x represent the amount of time
Faucet A + Faucet B = Full fish tank
0.140x + 0.100x = 14.4
0.240x = 14.4
x = 60
**************************************************************************
2. Answer: 40 minutes
<u>Step-by-step explanation:</u>
Quantity currently in tank: 4.8 liters
Water In: 150 milliliters/min = 0.150 liters/min
Water Out: 270 milliliters/min = 0.270 liters/min
Let x represent the amount of time
Qty in tank + In - Out = Empty fish tank
4.8 + 0.15x - 0.27x = 0
- 0.27x = -4.8
x = 40
