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RideAnS [48]
3 years ago
11

2. Match each set of equations with the move that turned the first

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

Step-by-step explanation:

1) In the first equation, - 4x was added to both sides of the equation. This is expressed as

6x - 4x + 9 = 4x - 4x - 3

2x + 9 = - 3

2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as

- 4 × - 1/4(5x - 7) = - 18 × - 1/4

5x - 7 = 4.5

3) In the third equation, - 4 was added to both sides of the equation. This is expressed as

8 - 10x = 7 + 5x

8 + (- 4) - 10x = 7 + (-4) + 5x

8 - 4 - 10x = 7 - 4 + 5x

4 - 10x = 5 + 5x

4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as

- 5x/4 × - 4 = 4 × - 4

5x = - 16

5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as

12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4

3x + 1 = 5x + 6

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Peter Chibwe works at Company XYZ. The following information relates to his performance at work for a single week Deductions are
Colt1911 [192]

The question is related to Payroll Administration and Management.

Where the weekly gross is $10,000 the Net Pay is $ 7,240 while monthly Net Pay is $ 28,960.00.

<h3>What is Payroll Administration?</h3>

This is defined as the series of task required to organize the compensation an benefits of the employee for the period that they have spent working.

<h3>The solution is given below:</h3>

A) Note that the information given above is for a week. We are not given the gross wage. Hence we'd assume that the gross wage for the week is $10,000.

If gross pay is $10,000, Net Pay is calculated by removing deductions.

Deductions are:

Pension fund = 7.5% of 10,000 = $750

PAYE Tax = 20% of (95% of 10,000) = $1,900 This is because medical aid is non-taxable.

Employee Insurance = 1% of 10,000 = $100

Union Membership = $10

The Total Deduction thus is = 750 + 1,900 + 100 +10 = $2, 760.00

The Net pay =  Gross Pay Less Deductibles

= 10,000-7,760

Thus The Net pay = $ 7,240/Week.

His weekly net wage will be:

7,240 * 4 = $28,960.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged on highly skilled jobs or highly skilled services, for example, equipment testing, or inspection of operations, toolmaking, etc.

See the link below for more about payroll administration:

brainly.com/question/15858747


3 0
2 years ago
Angles ∠ABC= x and ∠CBD=(2y+4) are complementary. ∠CBD and ∠DBE=(3y+x) are supplementary.
Basile [38]

The missing question is find x , y and the measure of each angle

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Step-by-step explanation:

Let us revise the meaning of complementary angles and supplementary angles

  • Two angles are complementary if their sum is 90°
  • Two angles are supplementary if their sum is 180°

∵ ∠ABC = x

∵ ∠CBD = 2y + 4

∵ ∠ABC and ∠CBD are complementary

- That means their sum is 90°, add their values and equate

   the sum by 90

∴ x + (2y + 4) = 90

∴ x + 2y + 4 = 90

- Subtract 4 from both sides

∴ x + 2y = 86 ⇒ (1)

∵ ∠DBE = (3y + x)

∵ ∠CBD and ∠DBE are supplementary

- That means their sum is 180°, add their values and equate

   the sum by 180

∵ ∠CBD = (2y + 4)

∴ (2y + 4) + (3y + x) = 180

- Add like terms

∴ x + 5y + 4 = 180

- Subtract 4 from both sides

∴ x + 5y = 176 ⇒ (2)

Now we have a system of equations to solve them

Subtract equation (1) from equation (2) to eliminate x

∵ 3y = 90

- Divide both sides by 3

∴ y = 30

- Substitute the value of y in equation (1) to find x

∵ x + 2(30) = 86

∴ x + 60 = 86

- Subtract 60 from both sides

∴ x = 26

∵ ∠ABC = x

∴ The measure of angle ABC is 26°

∵ ∠CBD = 2y + 4

∴ ∠CBD = 2(30) + 4 = 60 + 4 = 64°

∴ The measure of angle CBD is 64°

∵ ∠DBE = 3y + x

∴ ∠DBE = 3(30) + 26 = 90 + 26 = 116°

∴ The measure of angle DBE is 116°

The values of x and y are x = 28 and y = 30

The measures of ∠ABC is 26°, ∠CBD is 64° and ∠DBE is 116°

Learn more:

You can learn more about the complementary angles and supplementary angles in brainly.com/question/10483199

#LearnwithBrainly

6 0
4 years ago
A right cylinder has the radius of 3.5cm and the height of 11cm if i place 3 ice cube with edge length of 2cm in the glass what
Brrunno [24]

Answer:

Volume of cylinder =

\pi  \times r {}^{2}  \times h

\pi \times 3.5 {}^{2}  \times 11 = 423cm {}^{3}

Volume of 1 ice cube = 2*2*2= 8cm3

Volume of 3 ice cubes= 3*8= 24cm3

Volume of juice added = 423-24 = 399 cm3

4 0
3 years ago
Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2)
MatroZZZ [7]
I've attached working :)

7 0
3 years ago
Can someone help please<br> ;((
Luba_88 [7]

Answer:

see explanation

Step-by-step explanation:

A

note from the table that the cost increases by $15 for each package, then this is the multiplier for the cost.

let n be the number of packages , then

cost = 15n

B

to find the cost of 7 packages , substitute n = 7 into the rule

cost = 15 × 7 = $105

3 0
2 years ago
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