If Mandy earns $20 for walking 4 dogs, how much does she earn walking EACH dog?

Mathematics

2 answers:

taurus [48]3 years ago

4 0

Answer:

$5$

Step-by-step explanation:

Step 1: Find how much dollars she gets for each dog

To find the unit cost, you need to divide the amount of dogs from the total amount of money.

$\frac {Total Money} {Total Dogs}$

$\frac {20} {4}$

$\frac {20/4} {4/4}$

$\frac {5} {1}$

$5$

Answer: $5$

Iteru [2.4K]3 years ago

3 0

Answer:

he earns 5 dollars for walking 4 dogs

Step-by-step explanation:

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A room has eight switches, each of which controls a different light. Initially, exactly five of the lights are on. Three people

aivan3 [116]

Answer:

The probability that 3 lights are on after the third person exited the room is 39/128

Step-by-step explanation:

In order for 6 switches to be on at the end, we need exactly 2 people turning on a switch and the other one turning one off. There are 3 possibilities:

The first two persons turn the switch in and the last one turns it off
The first and last person turn the switch in and the middle one tunrns it off
The first person turns the switch off and the 2 remaining turn the switch in

Note that after turning off one switch one more switch will be available to be switched in and one less will be available to be switch off. The contrary happens when someone turns in a switch.

Lets calculate the probability for the first scenario. The probability for the first person to turn the switch in is 3/8, because there are 3 lights off. For the second person, there will be only 2 lights off, thus, the probability for him or her to turn the switch in is only 2/8, leaving only 1 light off and 7 on. The third person will have, as a consecuence, a probability of 7/8 to turn off one of the 7 switches. This gives us a probability of 3/8 * 2/8 * 7/8 = 21/256 for the first scenario.

For the second scenario we will have a probability of 3/8 for the first person, a probability of 6/8 for the second one (he has to turn a switch off this time), and a probability, again, of 3/8 for the third one, giving us a probability of 3/8*6/8*3/8 = 27/256 for the second scenario.

For the third scenario, the first person has to turn off the switch, and it has a probability of 5/8 of doing so. The second person will have 4 switches to turn on, so it has a probability of 4/8 = 1/2, and the third person will have one switch less, thus, a probability of 3/8 of turning a switch on. Therefore, the probability of the third scenario is 5/8*1/2*3/8 = 15/128 = 30/256

By summing all the three disjoint scenarios, the probability that six lights are on is 21/256+27/256+30/256 = 78/256 = 39/128.

8 0

2 years ago

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help

jek_recluse [69]

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

$y-y_1=m(x-x_1)$