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Gelneren [198K]
3 years ago
13

Alana walks east 4/9 mile to school every morning. On saturday, she walked to a friend's house, which is 1/3 mile farther east f

rom her school. How far did Alana walk to her friend's house on Saturday?
Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

4/27

Step-by-step explanation:

You just add 4/9 + 1/3 = 4/27 and I believe there is no way to simplify.

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Use the rational root theorem to list all possible rational roots for the equation.
Alik [6]

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


5 0
3 years ago
Read 2 more answers
What is the number line of 2.5 + 4.5?
Harrizon [31]

Answer:

A

Step-by-step explanation:

It shows 2.5 and then it adds 4.5 to it

3 0
3 years ago
Read 2 more answers
The following data summarizes results from 889 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths
pickupchik [31]

Answer:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

                                                             Pedestrian

                                       Intoxicated                       Not intoxicated     Total          

Intoxicated                           50                                        91                    141

Not intoxicated                    209                                     539                 748

Total                                     259                                      630                889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

P(A) = \frac{50+209}{889}=0.291

P(B) = \frac{50+91}{889}=0.159

We can find also the probaility that pedestrian was intoxicated AND driver was ​intoxicated, like this:

P(A and B) = \frac{50}{889}=0.0562

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

P(A or B) = P(A) +P(B) -P(A and B)

And since w ehave everything to replace we got:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

7 0
3 years ago
Can you give me some division problems and the key showing work forth grade problems
sattari [20]
12÷1=12
11÷2=5.5
10÷3=3.3
9÷4=2.25
8÷5=1.6
7÷6=1.16
7 0
3 years ago
A particular dishwasher uses 444 gallons of water per load. Their advertising claims that hand washing the dishes uses 666 times
balu736 [363]

Answer: 6.35444444×10^13 gallons

Step-by-step explanation:

So a dishwasher uses 444 gallons of water per load.

That means it'll use 444*215215215 = 95555555460 gallons of water for 215215215 loads

Since washing dishes by hand takes 666 as much as water in comparison to using a dishwasher, we can do 95555555460x666 to find that you need 6.36399999×10^13 gallons of water to wash 215215215 loads.

The question asks for how much more water in gallons you can save, so do 6.36399999×10^13 - 95555555460 to get 6.35444444×10^13 gallons

8 0
2 years ago
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