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Alchen [17]
3 years ago
12

How did he get that answer

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0
Whats the answer .............
You might be interested in
3x+1 = y 2x+3y = 14<br> please explain the steps if you can as well
Likurg_2 [28]
3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method.  Substitution the equation where the variable is isolated into the second equation.  In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1.  Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

8 0
4 years ago
Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED
SIZIF [17.4K]

Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}

Finally, simplifying, we get:

leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}

3 0
3 years ago
It's no small feat to travel 160,000,000km, to visit 200 million children, in 800 million homes, in only 34 hours... Luckily San
gladu [14]
The traveling time would be 470,588.235294km/hr
5 0
3 years ago
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
The difference of twice a number and 7 is 17. Find the number.
Nonamiya [84]

Answer:

12

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
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