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3 years ago

Find the ordered pair of both 4x-3y=6 and 6x + y =42

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

(-60/11,111/11)

Step-by-step explanation:

Solving simultaneously, 4x - 3y=6

-3(6x + y=42)

then it becomes, 4x - 3y=6

-18x - 3y= 126 subtracting the two equations,

22x= -120, x= -60/11 and y = 111/11

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Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely d

alex41 [277]

Answer:

On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts

Step-by-step explanation:

I got it right on the quiz

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3 years ago

Find the next 2 terms in the Geometric sequence 20,30,45 ...

DochEvi [55]

Answers:

The next two terms are 67.5 and 101.25 in that order.

===========================================

Explanation:

Divide the second term over the first to get 30/20 = 1.5

Divide the third term over the second term to get 45/30 = 1.5

The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term

-------

fourth term = 1.5*(third term) = 1.5*45 = 67.5

fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25

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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.

3 0

3 years ago

Part A: Factor 3x2c2 + 5xc2 − 2c2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Fac

Margarita [4]

Answer:

$\boxed{\mathrm{view \: explanation}}$

Step-by-step explanation:

A) 3x²c² + 5xc² - 2c²

Factor c² from all terms in the expression.

c²(3x² + 5x - 2)

Factor 3x² + 5x - 2

c²(3x-1)(x+2)

B) x² + 6x + 9

x² + 3x + 3x + 9

Factor common terms.

x(x+3)+3(x+3)

Take x+3 common.

(x+3)(x+3)

C) x² - 9

x² -3²

Apply formula : a² - b² = (a+b)(a-b)

(x+3)(x-3)

6 0

3 years ago

Read 2 more answers

Solve 2|x – 5| > –10

Nina [5.8K]

D) all real numbers

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3 years ago

As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.

bazaltina [42]

Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors

7 0

3 years ago