Answer:
x = 14
AB = 37
BC = 36
AC = 28
PQ = 28
QR = 28
PR = 45
Step-by-step explanation:
we can add together the sides of ΔABC and set it equal to the sum of the sides of ΔPQR
2x+9 + 2x+8 + 2x = 2x + 2x + 3x+3
combine 'like terms':
6x + 17 = 7x + 3
subtract 6x from each side to get:
17 = x + 3
subtract 3 from each side to get:
14 = x
CHECK:
Does 6(14) + 17 equal 7(14) + 3?
84+17 = 98+3
101 = 101 checks out correctly
Answer: 2 hours
Step-by-step explanation:
Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.
Let t be the time taken by both of them working together.
Then, according to the question, we have
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B2%2B1%7D%7B6%7D%5C%20%5C%20%5B%5Cbecause%5C%20L.C.M.%20%283%2C6%29%3D6%5D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20t%3D2)
Hence, it will take 2 hours by the two machines .
Answer: its c. okay good luck on your homework okay
Step-by-step explanation:
Answer:
regroup
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.
