Answer:
30 minutes
Step-by-step explanation:
Nathaniel can weld 1 rail in 75 minutes, so he welds 1R = 75 min, and Brenda can weld 1 rail in 50 minutes (25 minutes faster than Nathaniel), so she welds
1R = 50 min
We want to see how many minutes it takes them both, so we need to solve both problems for the minute unit
Nathaniel: (1/75)R = 1 min (he can do one seventy-fifth of a rail per minute)
Brenda: (1/50)R = 1 min (she can do one fiftieth of a rail per minute)
notice, the equation is 1/(minutes it takes them), and we want to see how long it takes both of them, so we get the equation:
1/75 + 1/50 = 1/x
Simplify the left side with common denominator of 57(50) = 3750
We get
125/3750 = 1/x
We can cross multiply to get rid of the fractions...
125x = 3750
Divide both sides by 125 to solve for x...
x = 30, so it would take them 30 minutes to weld a rail if they work together.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Polynomial = 
.
Before determining the degree of the polynomial, let's open the parentheses using the distributive property .
Degree is the highest exponential power in a polynomial .
So, the degree of the given polynomial is 5.
Answer:
Step-by-step explanation:
<u>The volume of the cube is:</u>
<u>The volume of the cut prism:</u>
- V = Bh, B- area of the base, h- height
The base is a right triangle with legs of 2.5 each.
<u>The volume is:</u>
- V = 1/2*2.5*2.5*5 = 15.625 cm³
<u>Required volume of the solid is the difference of the above volumes:</u>
- 125 - 15.625 = 109.375 cm³
Answer:
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