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Andrej [43]
2 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]2 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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A 25 foot ladder rests against a buliding . The base lf the ladder is 15 feet away from the base of the building. At what height
professor190 [17]
X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20
3 0
3 years ago
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joja [24]
Hailey's mixing two different coffee blends.  Represent them by x and y (in pounds).  Then x + y = 5 lb, and x = 5 - y.How much puree Sum. beans are we talking about here?
0.20x +0.80y = 0.60(5 lb)  Mult all 3 terms by 100 to get rid of factions:
20x + 80 y = 300.  Substitute 5-y for x:
20(5-y) + 80y = 300 => 100-20y + 80y = 300 => 60y = 200,  so                                                                                  y = 20/6 or 10/3 lb                                              den x = 5-10/3, or    x =5/3 lb
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7 0
2 years ago
Solve the system of equations using elimination.<br><br> 4x - 7y = 5<br> 9x – 7y = –15
Anni [7]

Step-by-step explanation:

We have to get one positive 7y so,

4x-7y=5

9x-7y=-15

multiply anyone of the equation by -1. I choose the first one so,

4x+7y=-5

9x-7y=-15

we can now cancel the y's so the equation will be left with

-4x=-5

9x=-15

add the equations

5x=-20

divide by 5 n u get

x=-4

now plug in the x value in any one of the

equations

I choose the first one so,

4(-4)-7y=5

-16-7y=5

add 16 to both sides

-7y=21

divide by -7

y=-3.

finally check.

8 0
3 years ago
Write the exponential function that passes through the points (3, 10) and (5, 40)
tigry1 [53]

Answer:

  y = (5/4)2^x

Step-by-step explanation:

The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...

  y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))

  y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference

This can be simplified to ...

  y = 10·2^(x -3) = 10/8·2^x

  y = (5/4)2^x

6 0
3 years ago
Which two ratios form a proportion?
Alex17521 [72]

Step-by-step explanation:

4 and 5 is one 20/25

3 0
3 years ago
Read 2 more answers
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