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:
1) 60
2) 60
3) 119
4) 59
Step-by-step explanation:
All triangle angles add up to 180 degrees. All lines with transversals add to 180 degrees. Use these rules and the measurements given to solve.
Answer: The total number of pizzas that can be made from the given choices is 24.
Step-by-step explanation: Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.
We are to find the number of different pizzas that can be made from the given choices.
We have the <em><u>COUNTING PRINCIPLE :</u></em>
If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.
Therefore, the number of different pizzas that can be made from the given choices is

Thus, the total number of pizzas that can be made from the given choices is 24.
The value of a is -6
The value of b is 48
D I think. Hope this helps.