The value of x that makes the equation true is x=53.67
Step-by-step explanation:
We need to find the value of x that makes the equation true
The equation given is:
Divide both sides by 6
So, the value of x that makes the equation true is x=53.67
Keywords: Solving Equations
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Answer:
See the attached figure.
Step-by-step explanation:
Modeling each part as a function.
Let x is hours of the working day
The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]
At the end of the 3 hours The company packs = 80 * 3 = 240
They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]
Then, for the next 4 hours, they pack 20 boxes of toys every hour
y₃ = 20x + c , x ∈ [5,9]
To find c, y₂ = y₃ at x =5
∴ 240 = 20 * 5 + c
∴ c = 240 - 20 * 5 =240 - 100 = 140
∴ y₃ = 20x + 140 , x ∈ [5,9]
So,
y₁ = 80 x , x ∈ [0,3]
y₂ = 240 , x ∈ [3,5]
y₃ = 20x + 140 , x ∈ [5,9]
The graph models the piecewise function for the given situation is as shown in the attached figure.
Answer:
Length between the longest bolt and the shortest bolt is:
2.375 inch
If we laid one of each size bolt end to end , then the length of row of bolts is:
5.125 inch
Step-by-step explanation:
We are given that:
Martin sorted the bolts in his toolbox by size.
They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches
longest bolt= 11/4 inches shortest bolt=3/8 inch
Difference between longest and shortest bolt=
Now, if we lay one of each size bolt end to end then, length of row will be:
=41/8
= 5.125 inches