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3 years ago

P and Q vary inversely. If P is 16.4"when Q is 123, find an equationrelating P and Q.

Mathematics

1 answer:

aev [14]3 years ago

3 0

P= k/Q
16.4= k/123
k= 16.4 * 123
k= 2017.2
Therefore, P= 2017.2/Q

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Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt

soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0

3 years ago

Round 12.03994 to 3 decimal place

Misha Larkins [42]

$12.03994\to\boxed{12.04}$

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3 years ago

Which values of P and Q result in an equation with no solutions? -60x+32=Qx+P

Elena L [17]

Q = -60 and P ≠ 32 will result in an equation with no solutions. (Both conditions must be met.)

_____
For Q = -60 and P = 32, there will be an infinite number of solutions. For any other values of Q and P, the solution is
.. x = (32 -P)/(Q +60)

4 0

3 years ago

For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?

FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

$\frac{2}{3} =\frac{x}{9}$

Cross multiply it

2*9 = 3*x

18 = 3x

Now divide both sides by 3

so x= 6

Frankie have 6 coins

7 0

3 years ago

Please help! really needing help solve the problem

guapka [62]

Answer:

Step-by-step explanation:

By Basic proportionality theorem:

$\frac{10}{8} = \frac{3x - 6}{12} \\ \\ \frac{10 \times 12}{8} = 3x - 6 \\ \\ \frac{120}{8} = 3x - 6 \\ \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\ \frac{21}{3} = x \\ 7 = x \\ \\ \huge \red { \boxed{x = 7}}$

7 0

3 years ago