How do you solve this equation: 18k - 4k = -10 -4k

Answers

Answer 1

Answer: 18k - 4k = -10 - 4k
18k - 4k + 4k = -10
18k = -10
k= (18/10) = (9/5) = 1.8

Answer 2

Answer: 18K-4k= -10-4K
18k-4k +4k =-10
18k18=-10/18
k=-.555556

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Mr White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes in breaks did he take?

Darrel earned $2965 in gross pay over the last 2 weeks. How much income tax will be withheld from his paycheck this pay period? Use the table to answer the question. $ 2014 weekly tax table with all amounts in dollars and cents unless noted - first column If your taxable income is (first column Over, second column But not over), second column And your filing status is single (third column Base tax plus fourth column Rate times fifth column Amount over). First row Over 87, But not over 436, Base tax blank, Rate 10 percent, Amount over 87. Second row Over 436, But not over 1,506, Base tax 34.90, Rate 15 percent, Amount over 436. Third row Over 1,506, But not over 3,523, Base tax 195.40, Rate 25 percent, Amount over 1,506. Fourth row Over 3,523, But not over 7,254, Base tax 699.65, Rate 28 percent, Amount over 3,523.

Answers

$383.76 should be withheld from his $2965 gross pay over 2 weeks.

2014 WEEKLY TAX TABLE
OVER   BUT NOT OVER  BASE TAX     RATE
87.00                    436.00                   -   + 10% OVER 87
436.00                 1,506.00            34.90 + 15% OVER 436
1,506.00                 3,523.00          195.40 + 25% OVER 1506    3,523.00                 7,254.00          699.65 + 28% OVER 3523

Since, $2965 is for 2 weeks, we need to divide his pay by 2 to get his weekly pay.

2965 / 2 = 1482.50 per week.

1482.50 is OVER 436 BUT NOT OVER 1506. Therefore, his base tax for the week is 34.90 + 15% OVER 436.

1482.50 - 436 = 1046.50 * 15% = 156.98 + 34.90 = 191.88 tax withheld for the week.

The tax withheld 191.88 should be multiplied by 2 to get the tax withheld for the pay period of 2 weeks.

191.88 * 2 = 383.76 should be withheld from his $2965 gross pay over the last 2 weeks.

Solve for n: -6(n -8) = 4(12 -5n) + 14n.

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given

- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides

- 6n + 48 = 48 - 20n + 14n, that is

- 6n + 48 = 48 - 6n ( add 6n to both sides )

48 = 48 ← True

This indicates that the equation is true for any value of n

Answer:

This is a very classical type of equation in which, the solution is basically any number and it is known as an "Identity". So it has infinite solutions

Step-by-step explanation:

Apply the distributive law to both sides of the equation:

-6(n-8) = 4(12-5n)+14n

-6n-6*(-8) = 4*12+4*(-5n) + 14n

Reduce similar terms

-6n+48=48-20n+14n

-6n+48=48-6n

From here it is clear them to see that by adding -48 and 6n to both sides one obtains the identity 0 = 0

-6n+48=48-6n

-6n +6n + 48 -48 = 48 -48 - 6n + 6n

0 = 0

So every time you find this kind of problem and after reducen the equation you end up with a true statement, then the equation has infinite solutions

What pattern will result from plotting all points x, y that satisfy an equation in the form ax+by=c

Answers

You only need to plot two points, because the pattern is a
straight line, and any two points on it define the entire line.

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Answer:

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Step-by-step explanation:

5. A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle?

Answers

15 meters by 2 meters

length is 15 and the width is 34

The volume of a rectangular prism is 336 cubic centimeters. The area of the base of the prism is 48 square centimeters. What is the height of the prism?