Answer:
Step-by-step explanation:
5/y + 7/x =24.........(1)
12/y + 2/x =24........(2)
Let 1/y = a and 1/x = b
5a + 7b = 24 ...........(3)
12a + 2b = 24...........(4)
Multiply (3) by 2 and (4) by 7
10a + 14b = 48..........(5)
84a + 14b = 168.........(6)
Substracting (5) from (6)
84a - 10a = 168 - 48
74a = 120
a = 120/74
a = 60/37
Putting a = 60/37 in (3)
5a + 7b = 24
5(60/37) + 7b = 24
300/37 + 7b = 24
Multiply each term 37
300 + 259b = 888
259b = 888 - 300
259b = 588
b = 588/259
And a = 1/y
60/37 = 1/y
Cross multiply
60y = 37
y = 37/60
Also
b = 1/x
588/259 = 1/x
Cross multiply
588x = 259
x = 259/588
Answer:
2
Step-by-step explanation:
Average Rate of Change: 
Step 1: Define variables
f(b) = 5
f(a) = 3
b = 2
a = 1
Step 2: Plug into formula
(5 - 3)/(2 - 1)
2/1
2
Answer:
Easy!
Step-by-step explanation:
All you have to do is.. Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
Hope this helps :)
Answer:
Juan's current age = 12
Tim's current age = 8
Step-by-step explanation:
Let x= Juan's current age; x+10=Juan's age in 10 years
Then (1/3)x+4=Tim's current age;
Now we are told that:
x+10=2{(1/3)x+4}+6 eliminate brackets
x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3
3x+30=2x+42 subtract 30 and 2x from both side
s
3x-2x+30-30=2x-2x+42-30 collect like terms
Juan's current age: x=12
Tim's current age: (1/3)x+4=(1/3)*12+4=8
4 years older than 1/3 of Juan's age=(1/3)*12+4=8
8=8
In 10 years, Juan will be 6 years older than twice as old as Tim is now.
12+10=22
2*8+6=22
22=22
volume of the glass:
PI x r^2 x h = 3.14 x 3^2 x 12 = 339.12 cubic cm
150 / 339.12 = 0.442 = 44.2%
Round the answer as needed.
