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3 years ago

Decide if the situation involves a permutation... anyone?

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

$4!=4\cdot3\cdot2\cdot1=24$

possible ways to do it.

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-2x+5/2= 17

Alenkinab [10]

No the answer is 5x because simply then,add x

3 0

3 years ago

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Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta

Semmy [17]

Answer:

B rentals is better deal for journey 432 miles

If she spending same money either company the distance travels in a week is $x=600$ miles

Step-by-step explanation:

Given,

Mr K rentals cars $=\$ 99$ per week and $\$ .11$ for over 100 miles

B rentals car $=\$ 75$ per week and $\$ .15$ for over 150 miles

Let total journey cost of Glenna if she travels 432 miles

For Mr, K rentals is Y

Y=99+.11\times \left ( 432-100\right )

$Y=99+.11\times \left ( 432-100\right )$

$Y=99+36.52$

$Y=\$ 135.52$

For B rental journey cost is Z

$Z=75+.15\left ( 432-150 \right )$

$Z=75+42.3$

$Z=\$ 117.3$

If she spending same money either company

x mile she drive in a week

$Y=Z$

$99+.11\left ( 432-100 \right )x=75+.15\left ( 432-150 \right )x$

$99-75=.15x-.11x$

$24=.04x$

$x=24/.04$

$x=600$

7 0

3 years ago

Find the value of x for which p || q.

Delicious77 [7]

Answer:

x = 9

Step-by-step explanation:

For the lines to be parallel, then

9x + 8 and 15x - 46 are alternate angles and congruent, thus

15x - 46 = 9x + 8 ( subtract 9x from both sides )

6x - 46 = 8 ( add 46 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

4 0

3 years ago

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Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0

3 years ago

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A karaoke machine saleswoman whose base pay plus commissions amounted to $38,486 last year earned a commission of 14.5% on each

gogolik [260]

Total pay for the year (x) = Base pay + (percentage commission)*x, where x is the number of karaoke machines sold.

Total pay (x) = $35,470 + ($1,300/machine) * (1.145)*x = $38,486. The 1.145 factor represents the unit price of each machine sold PLUS the 14.5% commission.

Let's begin solving this for x by subtracting $35,470 from both sides of this equation. The result is $3,016, which represents commission income.

Each machine sells for $1,300, and the saleswoman earns 14.5% on each sold. That comes to 1.145($1,300) = $1488.50 per machine sold.

Dividing both sides of this equation by ($1,488.50/machine), we get

$3016

x = ------------------------- = 2.027. Round this off to 2, representing the

$1488.50 commission earned on the sale of

2 machines.

8 0

3 years ago

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