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3 years ago

Simplify using suitable properties 2/5 × 7/6 + 7/6 × 7/2

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer:

4 11/20

Step-by-step explanation:

Using bidMAs Multiplication comes first before addition

2/5 * 7/6 = 14/30

7/6 * 7/2 = 49/12

Make denominators equal

14/30 * 2 = 28/60

49/12 * 5 = 245/60

Then add

28/60 + 245/60 = 273/60

Finally convert improper into mixed fraction

4 11/20

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For the given system of equations, identify the type of system, a system of equations with the same solution, and the estimated

zysi [14]

Answer:

Part 1)

-31x - 19y=95

-14x + 19 y = 76

The solution is the point (-3.8,1.2)

The system is consistent independent

Part 2)

31x - 19y=95

14x + 19y = 76

The solution is the point (3.8,1.2)

The system is consistent independent

Part 3)

31x + 19y = 95

14x - 19y = 76

The solution is the point (3.8,-1.2)

The system is consistent independent

Step-by-step explanation:

Part 1) we have

-31x-19y=95 -----> equation A

-14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

-31x-14x=95+76

-45x=171

x=-3.8

Find the value of y

-14(-3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (-3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 2) we have

31x-19y=95 -----> equation A

14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 3) we have

31x+19y=95 -----> equation A

14x-19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)-19y=76

-19y=76-53.2

y=-22.8/19=-1.2

The solution is the point (3.8,-1.2)

The system has only one solution

therefore

The system is consistent independent

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3 years ago

A box contains 15 transistors, 5 of which are defective. if 5 are selected at random, find the probability that

Nikolay [14]

The answer is 1/3 because 5/15=1/3

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4 years ago

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sukhopar [10]

Answer:

1/100.

Step-by-step explanation:

Total number of socks in the drawer

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So the required probability

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juin [17]

Answer

Step-by-step explanation:

When 9 2/3 is written simplest radical form,the value remain under radical is number 3.

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3 years ago

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Simplify using suitable properties 2/5 × 7/6 + 7/6 × 7/2​

Simplify using suitable properties 2/5 × 7/6 + 7/6 × 7/2