Answer:
3.3333 (repeating)
Step-by-step explanation:
He has 50 missing assignments and 15 days to do them.
So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.
50 / 15 = 3.33 (repeating)
Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form
Answer:
Time:
Car > Truck > Boat.
Cost of produce:
Truck > Boat > Car
Profit
Car > Truck > Boat.
We know that a worker works 400 minutes each day, and the profit that each worker needs to generate is $35, let's find how each worker needs to spend their time.
Let's call T to the number of trucks he makes, C for cars and B for boats.
Then, if he works 400 minutes we have:
T*10 + C*12 + B*8 ≤ 400
this means that the time expended crafting the toys can be, at most, 400 minutes (here you use the inequality because the worker actually can be less effective than the max, maybe tacking a break or something like that)
The other equation is:
T*1 + C*1.5 + B*0.6 ≥ 35
Here we use the inequality because the profit needs to be at least 35$, none the less, the profit can be more than tath.
Notice that if we want to solve the system with for the equal signs, it is:
T*1 + C*1.5 + B*0.6 = 35
T*10 + C*12 + B*8 = 400
We have 3 variables and 2 equations, this means that there are more than one solution for this system.
Answer:x ≈ -0.24
Explanation:Using a graphing tool to graph the given equation, we will end up with the graph shown in the attached image.
Now, to solve the equation means to find the x-intercept.
Taking a look at the graph, we would find that the x-intercept is somewhere between the -0.2 and the -0.3
This means that the best choice is x ≈ -0.24
We can check using algebraic substitution:-3x + 2 = -3(-0.24) + 2 = 2.72
4ˣ +2 = 4⁻⁰.²⁴ + 2 = 2.7169
We can note that the two values are almost equal.
Hope this helps :)
Answer:
11m8
Step-by-step explanation:
1. add 5m and 6m together
2. multiply 4 and 2
3. pat yourself on the back for solving it!