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Kisachek [45]
3 years ago
15

hi,i need help with figuring out how to solve real world word problems with polynomial and integer expressions.Thankyou

Mathematics
1 answer:
Aneli [31]3 years ago
8 0
Part a.

Fixed charge for the month: $30
Charge per hour: $0.50 daytime
Charge per hour: $0.25 nights and weekends

Let's say in one month, a person parks for d hours of daytime and n hours of nights and weekends.

The total monthly charge would be

cost = 30 + 0.50d + 0.25n

Now let's see what Trent did.

He parked for 47 hours in one month.
h of the 47 hours are nights and weekends.
Let x = number of daytime hours.

x + h = 47

x = 47 - h

He parked h hours of night and weekends, and he parked 47 - h hours of daytime.

Now we use h for night and weekend hours and 47 - h for daytime hours in the expression above.

cost = 30 + 0.50d + 0.25n

cost = 30 + 0.50(47 - h) + 0.25h

Answer to part a.: 30 + 0.50(47 - h) + 0.25h

Part b.

We are told the actual number of night and weekend hours, which we called h above, is 12. h = 12.
Now we use the cost expression we found in part a. with 12 in for h.

cost = 30 + 0.50(47 - h) + 0.25h

cost = 30 + 0.50(47 - 12) + 0.25(12)

cost = 30 + 0.50(35) + 0.25(12)

cost = 30 + 17.50 + 3

cost = 50.5

Answer to part b.: $50.50
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The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Brums [2.3K]
The answer is 509 ft^3


Formula:
V = πr^2h
V = 3.14 * 4.5^2 * 8
V = 3.14 * 20.25 * 8
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508.68 rounded to the nearest whole number is 509

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5 0
3 years ago
Solve 2x + 4 &gt; 16<br><br> A. x &gt; 10<br> B. x &lt; 6<br> C. x &lt; 10<br> D. x &gt; 6
Salsk061 [2.6K]

Hey there! :)

2x + 4 > 16

We're simply just trying to get x onto it's own side, so let's get rid of any numbers on the same side of it.

We can start out by subtracting both sides by 4.

2x + 4 - 4 > 16 - 4

Simplify.

2x > 12

Then, divide both sides by 2.

2x ÷ 2 > 12 ÷ 2

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Therefore, our answer is D. x > 6

~Hope I helped!~

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