Answer:
See below ~
Step-by-step explanation:
<u>Given</u>
- Maitri and Aabhas do a work in 12 hours
- Aabhas and Kavya do the work in 15 hours
- Kavya and Maitri do the work in 20 hours
<u>Solving</u>
- Take Maitri, Aabhas, and Kavya to be x, y, z respectively
- <u>x + y = 12</u> (1)
- <u>y + z = 15</u> (2)
- <u>x + z = 20</u> (3)
<u>Take Equation 1 and rewrite it so that it is equal to x.</u>
<u>Take Equation 2 and rewrite it so that it is equal to z.</u>
<u>Now, substitute these values in Equation 3.</u>
- x + z = 20
- 12 - y + 15 - y = 20
- -2y + 27 = 20
- 2y = 7
- y = 7/2 = <u>3.5 hours [Aabhas]</u>
<u></u>
<u>Substitute the value of y in Equation 1.</u>
- x + 3.5 = 12
- x = <u>8.5 hours [Maitri]</u>
<u>Substitute the value of y in Equation 2.</u>
- 3.5 + z = 15
- z = <u>11.5 hours [Kavya]</u>
<u></u>
<u>Add the values of x, y, and z together.</u>
- x + y + z
- 8.5 + 3.5 + 11.5
- 12 + 11.5
- <u>23.5 hours [together]</u>
Answer:
AOE = 138, EOD = 48
Step-by-step explanation:
Since AD is the diameter of the circle and goes through the middle
angle AOE + angle EOD = 180
Solving the equation (x + 138) + ( x+ 48) = 180
We get x = 0.
Answer:
L = 38/W
Step-by-step explanation:
The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...
A = LW
38 = LW
Then the length can be found by dividing the equation by W:
L = 38/W
Answer:
<u>a) 100m</u>
<u>b) 2m/s</u>
Step-by-step explanation:
a)==>> <u>2+4</u>+<u>6+8</u>+10(8) = 100m
b)==>> Variable "a" = change OVER time () = 8m/4s = 2m/s
Answer:
Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
Step-by-step explanation: