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Mandarinka [93]
3 years ago
11

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

Z when X equals four and Y equals nine
A: 2/3

B: 16/3

C: 8/3

D: 24
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

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How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000
SVEN [57.7K]

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

4 0
2 years ago
The sum of 3x^2 -8x -2 and 4x -2 is?
Lady_Fox [76]

Answer:

3x^2−4x−4

Step-by-step explanation:

3x^2−8x−2+4x−2

=3x^2+−8x+−2+4x+−2

3x^2+−8x+−2+4x+−2

=(3x^2)+(−8x+4x)+(−2+−2)

=3x^2+−4x+−4

7 0
3 years ago
Read 2 more answers
Maggie was doing research for her Ph.D. in physics when a 12 mg sample of radioactive material decayed to 3 mg in 26 minutes. De
netineya [11]

The general way to work this out is to solve the general expression for
the remaining quantity versus half-life, using logarithms.  But that's not
necessary with these numbers.

Look at the numbers:

-- 3 mg is  1/4  of  12 mg.

-- 1/4  is the product of  (1/2) x (1/2).

-- So the  3 mg is what's left of  12 mg after  2  half-lives.
The  26  minutes must be two half-lives.

-- The half-life of that substance is  26/2 = <em>13 minutes</em>.

Go Maggie !

3 0
3 years ago
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Verizon [17]

Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

7 0
3 years ago
Pls help me guys! This is super hard
Mashcka [7]
I count 4 green stars and 6 red stars

ratio of green to red would be
4 green : 6 red

4:6

if you divide both numbers by 2, cause theyre both even

2:3
6 0
3 years ago
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