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g100num [7]
3 years ago
15

Alan has read 80​% of a book. He has 4 more pages to finish. How many pages are there in the​ book?

Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

20 pages

Step-by-step explanation:

If 100%-80%=4 pages

then 20%=4 pages (multipy both sides by 5)

100%=20

20 pages

maw [93]3 years ago
3 0

Answer:

20 pages

Step-by step:

4 pages = 20%

20(5)=100 so 4(5)= 100% of the book

4(5)= 20

the book has 20 pages.

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A hexagonal prism has a height of 6.5 centimeters and a base with an area of 30.5
natita [175]

Answer:

198.25cm³

Solution

V=ABh=30.5·6.5=198.25cm³

6 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


6 0
3 years ago
Question 9 (10 points)<br> Solve for x,<br> 2(x - 1) + 4 = 4(x + 1)
Nutka1998 [239]
1. Expand
2x − 2 + 4 = 4x + 4

2. Simply
2x + 2 = 4x + 4

3. Subtract
2 = 4x + 4 - 2x

4. Simplify
2 = 2x + 4

5.Subtract
2 - 4 = 2x

6. Simplify
-2 = 2x

7. Divide both sides by
-1 = x

8.Switch sides.
x = -1
6 0
3 years ago
What is the period of the function y=-4sin (2/3x-pi?3)?
ad-work [718]
2/3 x = 2 pi
x = 2pi × 3/2 = 3pi

period = 3pi
7 0
3 years ago
What is multiply: -7*4
Luden [163]

Answer:

-28

you welcome ........ :)

7 0
3 years ago
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