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3 years ago

PLEASE HELP OMG IM ON MY FINAL!!! If z varies inversely as w, and z=4 when w=9, find z when w=12

Mathematics

1 answer:

Drupady [299]3 years ago

4 0

z=3. If z varies inversely as w, and z=4 when w=9, then when w=12 the value of z is 3.

The key to solve this problem is using reverse proportionality, in which two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=4 when w=9

z.w=k -------> 4.9=k -------> k=36

So, let's find z when w = 12. With k = 36

z.w=K, clear z from the equation

z=k/w -------> z=36/12 -----> z=3

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Evgesh-ka [11]

Given that Jessica is a custodian at Oracle Arena.

She waxes 20 square meters space of the floor in 5/3 of an hour. Jessica waxes the floor at a constant rate means rate will remain fixed for any hour.

Now we have to find about how many square meters can she wax per hour.

To find that we just need to divide 20 squaer meters by 5/3 hours

$\frac{20}{\left(\frac{5}{3}\right)}$

$=20\cdot\frac{3}{5}$

$=\frac{60}{5}$

=12

Hence final answer is 12 square meters can she wax per hour.

Which can also be written as $12m^2$ per hour.

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3 years ago

Read 2 more answers

Hundred chart: I am thinking of a number that is greater than 70 but less than 100.

Katyanochek1 [597]

The numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98

<h3>Even and odd numbers</h3>

A number greater than 70 but less than 100
Not divisible by 10
Not divisible by 4
Not odd number

A number greater than 70 but less than 100

71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98

Not odd number

72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98

Not divisible by 10

72, 74, 76, 78, 82, 84, 86, 88, 92, 94, 96, 98

Not divisible by 4

74, 78, 82, 86, 94, 98

Therefore, the numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98.

Learn more about even and odd numbers:

brainly.com/question/2263958

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7 0

2 years ago

How is this problem factored? 35x^2-57x-44

faust18 [17]

You can use the quadratic formula with it which will be easier
or simple factoring
it will be (5x-11)(7x+4)

7 0

3 years ago

In the middle of a test <br> Please answer!

vaieri [72.5K]

Answer:

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3 years ago

Abcd is a rectangle if DB=26 and DC=24 find bc

Anettt [7]

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3

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3 years ago