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Andrej [43]
3 years ago
12

The ratio of fiction to nonfiction books in the library is 4:5. If there are 900 books in a collection, how many are fiction?

Mathematics
1 answer:
jekas [21]3 years ago
4 0
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
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Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee
Brilliant_brown [7]

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

4 0
3 years ago
A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
2 years ago
What does the perpendicular bisector of a line mean?
ankoles [38]
This bisector created a 90 degree angle
7 0
3 years ago
Read 2 more answers
My teacher wouldn't help me.. and this is my last question. I need to know how to find the perimeter of the geometric figure (it
nika2105 [10]
This isn't really a geometry problem.  It's just an addition of fractions.

You know that 'perimeter' means 'the distance all the way around'.
And you know the length of all the sides of the parallelogram.
All you need to do is add them up !

(13/12) + (3/13) + (13/12) + (3/13) = the perimeter

Notice that two of the sides are equal, and the other two sides are also equal.
So you can make the job a little easier if you add up the twelfths first

(13/12) + (13/12) = 26/12

and then add up the thirteenths ...

(3/13) + (3/13) = 6/13 .

Now, the perimeter looks a little bit less complicated.
It's just
                   (26/12) + (6/13) = the perimeter.

This is the tough part.  Before you can add fractions, they need to have
a common denominator. 

The smallest common denominator for 12ths and 13ths is  <em>156 </em>!
Change each fraction to (<em>something over 156</em>), and add um up.
I'll leave that part to you.


5 0
3 years ago
In 10 words or fewer, define rectangle.
oee [108]

Answer:

a figure with four straight sides and four right angles.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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