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Law Incorporation [45]
3 years ago
8

Brooke is reading a 379-page book. She has already read 54 pages, and she can read 28 pages in an hour. If h represents the numb

er of hours iBrooke is reading a 379-page book. She has already read 54 pages, and she can read 28 pages in an hour. If h represents the number of hours it will take Brooke to read the book, which equation models this situation?T will take Brooke to read the book, which equation models this situation?
Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Answer:

28x + 54 = 379 is what I came up with, though it would help to see the choises you have to select from if there are any.

Step-by-step explanation:

28 = the pages she reads in 1 hours.

x = how many hours it would take to finish the book.

54 = the amount of pages she's already read.

379 = the full amount of pages she needs to read to finish the book.

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(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)
Firdavs [7]

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

4 0
3 years ago
A rectangle has a perimeter 204 it’s length six feet longer than twice it’s width if L stands for the rectangle and W stands for
andriy [413]

Answer:

W=32

L=70

Step-by-step explanation:

L=2w+6

204=2L+2W

204=2w+2(2w+6)

204=2w+4w+12

192=6w

w=32

L=2(32)+6

L=70

6 0
3 years ago
How many solutions does 3 - 2x = 5 - x + 3 + 4x have?
vitfil [10]

Well let's see.

3-2x=5-x+3+4x \\3-2x=8+3x \\-5x=5 \\x=-1 \\

The equation has exactly one solution.

Hope this helps.

5 0
3 years ago
using pythagorean inequalities, determine which set of the given three sides produces an acute triangle.
Kruka [31]
To solve this problem, you need to use the Phythagorean theorem c^2 is equal to the sum of a^2 and b^2. If a less than or equal to b and b is less than or equal to c or a^2 plus  b^2  is greater than c^2 then it is an acute angle. 
5 0
3 years ago
Read 2 more answers
. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum
Drupady [299]

Answer:

r=1.05\ \text{ft}

h=2.12\ \text{ft}

20.91\ \text{ft}^3

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = 7.35\ \text{ft}^3

V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}

Surface area is given by

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}

Differentiating with respect to radius we get

\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}

Equating with zero we get

0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05

\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0

So, the value of the function is minimum at r=1.05

h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3

The minimum surface area is 20.91\ \text{ft}^3.

8 0
3 years ago
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