We have two products: a two-slice toaster and a four-slice toaster.
Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.
If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.
The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).
The same can be done for F, where the labor required can be expressed as 10*T.
If we add these terms, and make them be less or equal than 300, we get:

The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.
We can express this as:

Answer:
The system of inequalities for this problem becomes:

6T+10F<=300
T+F<=40
Answer:
According the the Property of Equality (POE), if a=b and b=c, then a=c.
If -8y + 8 = x and x = -2y + 2, substitute so that it becomes -8y + 8 = -2y + 2.
Solve from there:
Move the y variables to their own side.
-8y + 2y = 2-8
-6y = -6
y = -6
Then plug the y into either equation to find x.
x = -2y + 2
x = -2(-6) + 2
x = 12 + 2
x = 14
If angles are complementary, they add up to 90 whereas when they are supplementary, the add up to 180. So now let's focus on this problem. It says angle 1 and 2 are complementary. Therefore;
angle 1 + angle 2 =90
x+(3x+30)=90
x+3x+30=90
4x+30=90
-30 -30
4x=60
4/4x=60/4
x=15
Therefore, the value of x is 15
Answer:
#1 is correct
Step-by-step explanation:
24 laps divided by 6 minutes equals 4 laps per minute.
72 laps divided by 18 minutes equals 4 laps per minute.
15 breaths divided by 36 seconds does not equal the same rate as 90 breaths divided by 3 minutes.
Answer:
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Step-by-step explanation:
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