Answer:
The answer to your question is: V = 2048 ml
Step-by-step explanation:
Data
Volume = 5000 ml
20% is evaporated per week
Volume of water left after 4 weeks = ?
Process
1st week 5000 ml ----------------- 100 %
x ----------------- 20 %
x = (20x 5000) / 100
x = 1000 ml
After a week there are = 5000 - 1000 = 4000 ml left
2nd week 4000 ml ---------------- 100 %
x ---------------- 20%
x = 800 ml
After two weeks, there are = 4000 - 800 = 3200 ml left
third weeks 3200 ml ----------------- 100 %
x ------------------ 20%
x = 640 ml
After three weeks there are 3200 - 640 = 2560 ml left
4rd 2560 ml ----------------- 100%
x ---------------- 20%
x = 512 ml
After four weeks there are 2560 - 512 = 2048 ml left
Answer:
13 , 35
Step-by-step explanation:
Let's call one of the number x and the other y
x + y = 47
x - y = 21 and x = 21 + y if we use this expression in the first equation instead of x we can find the value of y
x + y = 47 ➡ y + y + 21 = 47 add like terms
2y +21 = 47
2y = 47 - 21
2y = 26
y = 13 the value of first number is 13
x + y = 47 we know y is 13 so we can replace it
x + 13 = 47
x = 35
First convert the terms to fractional exponents
u = t^2/3 - 3t^3/2
differentiating
u' = 2/3 t^ (2/3 - 1) - 3* 3/2 t^(3/2 - 1)
= 2/3 t ^(-1/3) - 9/2 t ^(1/2)
= 2 / (3∛t) - 9 √ t / 2 in radical form
Answer:
you spent all together 40.2+24.5+37.8=$102.50.
you saved 19.8+10.5+7.2=$37.50
Step-by-step explanation:
To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.
Sneakers cost $60 and you bought them at 2/3=0.6666....
60(0.67)=$40.20 and saved $19.80
Sweater costs $35 and you bought it at 7/10=0.7
35(0.7)=$24.50 and saved $10.50
A jacket costs $45 and you bought it at 5/6=0.8333...
45(0.84)=$37.80 and saved $7.20
We spent all together 40.2+24.5+37.8=$102.50.
We saved 19.8+10.5+7.2=$37.50
We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.
Answer:
10(1+2x)
Step-by-step explanation:
When factoring you'd take out the greatest common factor, that being ten for this problem. The greatest common factor would go on the outside of your parenthesis. What remains after dividing the greatest common factor would go on the inside of the parenthesis.