Answer:
20
Step-by-step explanation:
For the sake of the problem, let's make female workers "x" and male workers "y".
x+y<40 This equation shows that the total number of workers has a max of 40.
30x+20y<1,000 This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.
Now you can solve for x and y.
X+y<40
-y -y
X<-y+40
Substitute -y+40 in for X in the second equation
30(-y+40)+20y<1,000
-30y+1200+20y<1,000 Distribute
-10y+1,200<1,000 Combine like terms
-10y<-200 Subtract 1,200
y>20 Divide by -10; flip the sign
Since y>20, and y=male workers, you now know that the minimum
number of male workers he should send is 20
Answer:
-3r + 15 ---> answer
Step-by-step explanation:
r < 5
You are going to multiply both sides with 3. The reason being is that 3 is a positive number and the equality sign will not change if you use +3.
3r < 15
Now, subtract 15 from both sides, you will get this:
3r < 15
-15 -15
-------------
3r — 15 < 0
Lastly, using the Modulus function, we are going to add a negative sign to the content of our previous step because it's already negative.
So, -3r + 15 is the final solution if r < 5 in the given equation of l3r-15l
Answer:
total cost= $5,814
Step-by-step explanation:
Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft
total sq ft= 760 x (7) = 5320 sq ft
total linear ft x labor= 760 x 1.70 = 1292 labor
Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522
the total cost is 1292 + 4522 = $5,814
For this question we will use the following relations.
100 centimeters=1 meter (or 1 centimeter= 0.01 meter)
10 millimeter=1 centimeter (or 1 mm=0.1 cm)
60 minutes = 1 hour (or 1 min=
hour)
Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:
...Equation 1
Likewise, Jonah's swim speed in cm/min can be calculated as:
...Equation 2
As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.
Thus, option B is correct.
If you're struggling with graphing problems, I'd highly recommend that you check out Desmos and Mathaway. All you have to do is type the equations and it graphs it for you. Here's the first question:
