Answer:
a
Step-by-step explanation:
Answer:
The system of equations is :
Equation 1- 
Equation 2- 
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- 
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer: 15
Step-by-step explanation:
(r+1)th term of
is given by:-

For
, n= 6

![=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B6%21%7D%7B4%212%21%7Da%5E4b%5E2%5C%20%5C%20%5C%20%5B%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes2%7Da%5E4b%5E2%5C%5C%5C%5C%3D3%5Ctimes5a%5E4b%5E2%5C%5C%5C%5C%20%3D15a%5E4b%5E2)
Hence, the coefficient of the third term in the binomial expansion of
is 15.
Answer:
4
Step-by-step explanation:
Answer:
6 gallons
Step-by-step explanation:
1) add 15 and 19 to get 34
2) then add 34 and 14 to get 48
3) then divide 48 by 8 to get 6