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nataly862011 [7]
3 years ago
8

Solve the system 3x – 2y = 1 2x + 2y = 4

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

x = 1, y = 1

Step-by-step explanation:

Given the 2 equations

3x - 2y = 1 → (1)

2x + 2y = 4 → (2)

Adding (1) and (2) term by term, eliminates the term in y

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

(2 × 1) + 2y = 4

2 + 2y = 4 ( subtract 2 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

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A driver has three ways to get from one city to another. There is an 80 % chance of encountering atraffic jam given he is on rou
lukranit [14]

Answer:

The probability is 0.64

Step-by-step explanation:

What we want to calculate here is conditional probability.

Let P(A )= Probability of using route A = 50% = 0.5

Let P( B )= probability of using route B = 25% = 0.25

Let P (C )= probability of using route C = 25% = 0.25

Let T be the probability that he will be in a traffic Jam

The probability that he will be in a traffic Jam if he uses route A = 80%

Mathematically this is written as P( T | A) which is read as probability of T given A

so P( T | A) = 0.8

Same way for B and C which can be written as follows;

P( T | B) = 60% = 0.6

P( T | C) = 30% = 0.3

Now, what do we want to calculate?

He is in a traffic Jam, and we want to find the probability that he used route A. This means we want to find P(A) given T which can be written mathematically as P ( A | T)

We can find this using the other parameters and especially the equation below;

P ( A | T) = P(A) • P( T| A) / {P(A) • P ( T | A) + P(B)• P(T| B) + P(C) • P(T|C)

P( A | T) = (0.5 * 0.8)/ ( 0.5)(0.8) + (0.25)(0.6) + (0.25)(3) = 0.4/(0.4 + 0.75 + 0.075) = 0.4/0.625 = 0.64

4 0
2 years ago
Suppose it takes John 18 minutes to run 3 miles. How long would it take him to run 7 kilometers? round to the nearest minute
alex41 [277]

Answer: 26 Minutes

Step-by-step explanation:

3 mi * 1.609 km/1 mi = 4.82 km

4.82 km/ 18 minutes = 7 km/ x minutes

4.82x=18*7

x=126/4.82

x=26.14 ~ 26 Minutes

8 0
3 years ago
A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted
Julli [10]
Since there are 360^{\circ} in a circle, and central \angle AOB = 90^{\circ}, you can see that the part "sliced out" by the central angle is \frac{90^{\circ}}{360^{\circ}} = \frac{1}{4} of the whole circle.

This means that the length of the intercepted arc \stackrel{\frown}{AB} is \frac{1}{4} of the circumference of the circle. So,

\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm



6 0
3 years ago
Does anyone want to help me with my math work?
Lerok [7]

Answer:

A3

B1

C2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help please thanks!!!
Andreyy89
You already have the right Answer which is b
6 0
3 years ago
Read 2 more answers
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