Answer:
23 quarts per hour
Step-by-step explanation:
Answer:
I believe it's Linear Increasing
10x6=60 pounds
36x12=432 ounces which is 27 pounds
60+27=87
$22.50
20 pounds -12.00
50 pounds-.50
30 pounds since there is 17 pounds left -10
$22.50 in total
Hope this is what you needed
Answer: t = (3/4)h hours.
Therefore, it takes both of them (3/4)h hours to complete the task.
Step-by-step explanation:
Let
t1 represent the time taken for the one worker to complete a task.
t2 represent the time taken for the second worker to complete a task
And t represent the time taken for both.
t1 = h
t2 = 3h
Let x represent the task.
x = rate × time
r1,r2 and r are the rates at which first, second and both worker works
x = r1(t1). .....1
x = r2(t2). ....2
x = r(t) ....3
And,
r = r1 + r2. ( Rate of both equals sum of rates of the two)
From eqn 1 and 2
r1 = x/t1 = x/h
r2 = x/t2 = x/3h
r = r1 + r2 = x/h + x/3h = 4x/3h
Substituting r = 4x/3h into equation 3
x= r(t)
x = (4x/3h)t
Making t the subject of formula
t = x/(4x/3h)
t = 1/(4/3h)
t = 3h/4
t = (3/4)h hours.
Therefore, it takes both of them (3/4)h hours to complete the task.
Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.
Answer:
For the system of equations to be unique, s can take all values except 2 and -2
Step-by-step explanation:
![\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2s%264%5C%5C2%26s%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%5C%5Cx_%7B2%7D%20%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%20%5C%5C6%20%5Cend%7Barray%7D%5Cright%5D)
For the system to have a unique solution, 
