Step-by-step explanation:
Given that
A worker's salary is increased by 12%.
Let the worker's original salary is represented by s. It means, the new salary of the person is given by :
New salary = 12% of s
So,
Hence, this is the required solution.
Answer:
-8
Step-by-step explanation:
A triangle is always 180 degrees
(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)
65 + 40 = 105
180 - 105 = 75
75 - 83 = -8
Answer:
Yes
Step-by-step explanation:
If (4,11) is part of the system, it should satisfy both equations
y = 4x - 5
11 = 4(4) - 5
11 = 16 - 5
11 = 11 is a true statement
y = 2x + 3
11 = 2(4) + 3
11 = 8 + 3
11 = 11 is a true statement
Since (4,11) satisfies both the equations, it is part of the system
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
Step-by-step explanation:
So let's make the two numbers "X" and "Y".
X + Y = 5
That's the very first line
let's take X as the bigger number and Y as the Smaller number.
3x + 2y = 28
now we have two equations and two unknowns.
We can also arrange the first equation to be as
X = 5 - Y
substitute this equation in the 2nd equation
3(5- Y) + 2Y = 28
15 - 3Y + 2Y = 28
-Y = 13
Y = -13
Substitute Value of Y in any equation to get X
X = 5 - (-13)
X = 18
