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ddd [48]
3 years ago
7

Z varies directly with x and inversely with y.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

z = \frac{20}{9}

Step-by-step explanation:

Given that z varies directly with x and inversely with y then the equation relating them is

z = \frac{kx}{y} ← k is the constant of variation

To find k use the condition when x = 6 and y = 2, z = 15, thus

15 = \frac{6k}{2} ( multiply both sides by 2 )

30 = 6k ( divide both sides by 6 )

5 = k

z = \frac{6x}{y} ← equation of variation

When x = 4 and y = 9, then

z = \frac{5(4)}{9} = \frac{20}{9}

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There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are lo
Alexxx [7]

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

F = 3N

eq2:

2*(F - 122) = (N - 24)

2F - 244 = N - 24

2F = N + 220

Using the 'F' value from the first equation, we have:

6N = N + 220

5N = 220

N = 44\ books

F = 3N = 132\ books

The total number of books is:

F + N = 132 + 44 = 176\ books

5 0
3 years ago
Find the measure of c
Volgvan

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.

  c = 280°/2 = 140°

5 0
3 years ago
In 2008, there were 197,214 traffic collision related injuries. This works out to ____ per day.
Anni [7]
There are several information's already given in the question. Based on those information's the answer can be easily deduced. 

Number of days in the year 2008 = 366
Number of traffic collisions in the year 2008 = 197214
Then
Number of t<span>raffic collision related injuries per day = 197214/366
                                                                               = 538.84
                                                                               = 540
</span><span>This works out to 540 per day. The correct option is option "C".</span>
4 0
3 years ago
How does the graph move if the h is positive (for instance, h is 4): f(x) =(x-h)2
Dvinal [7]

Answer:

it moves graph left

Step-by-step explanation:

h=left and right

k=up and down

7 0
3 years ago
what's the final volume of a gas with an initial volume of 75ml if the pressure decreases from 300ml to 200ml? A. 50.0ml B.112.5
aivan3 [116]
300 ml ... 200 ml
75 ml ... x = ?

If you would like to know what is the final volume of a gas, you can calculate this using the following steps:

300 * x = 200 * 75     /300
x = 200 * 75 / 300
x = 50.0 ml

The correct result would be A. 50.0 ml.
8 0
3 years ago
Read 2 more answers
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