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3 years ago

2(x - 4) = 2(-2x + 1)

Mathematics

2 answers:

zloy xaker [14]3 years ago

5 0

Answer:

x=10/6

Step-by-step explanation:

2x-8=-4x+2

6x=10

--- ---

6 6

x=10/6

natita [175]3 years ago

4 0

Answer:

Step-by-step explanation:

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Is the graph of the linear inequality y > -x - 3?

klasskru [66]

Answer:

Second Graph

Step-by-step explanation:

Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.

A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.

Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:

y > -x - 3

0 > - (0) - 3

0 > - 0 - 3

0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.

Hence, the correct answer is the second graph.

5 0

3 years ago

Paul's dog has 6 puppies. Three of them are a mixture of black and white, two are all black, and one is all white. Express as a

Ludmilka [50]

Answer:

Black and white = 3/6

All Black = 2/6

All White = 1/6

Step-by-step explanation:

3 0

3 years ago

-7 2/3 +(5 1/2) + 8 3/4 =

drek231 [11]

Answer:

6 7/12

Step-by-step explanation:

-7 2/3 +(5 1/2) + 8 3/4

Get a common denominator of 12

-7 2/3 * 4/4 +(5 1/2 +6/6) + 8 3/4*3/3

-7 8/12 + 5 6/12 + 8 9/12

Subtract the first two terms first

They have opposite signs so subtract and take the sign of the larger

-7 8/12 + 5 6/12 = -2 2/12

-2 2/12 + 8 9/12

They have opposite signs so subtract and take the sign of the larger

-2 2/12 + 8 9/12 = 6 7/12

7 0

3 years ago

HELP!! Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are add

vekshin1

1/4*x - 1/6*y= 5 |*18
4/5 *x + 3/8*y = 10 | *8

18/4*x -3*y= 90
32/5*x + 3y = 80
-------------------------
18/4*x+32/5*x / = 170

The answer is a

4 0

3 years ago

Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour

Simora [160]

Question 1

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

Question 2

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

Question 3

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

Question 4

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

Question 5

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0

3 years ago