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kobusy [5.1K]
3 years ago
14

Richard was earning $10/hr working for Diane’s landscaping company. Diane said that productivity was decreasing, so everyone had

to take a 20% pay cut, so now Richard is only earning $8/hour. After a few months Diane said that productivity had started to increase again, so she gave Richard a 20% raise. How much is Richard making now?
Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

Richard is  making $9.6 per hour now

Step-by-step explanation:

Given:

Initial amount Richard was earning =  $10/hr

Due to lass in productivity 20% pay was cut

Amount Richard was earning after 20% pay cut =  $8/hour.

After few again due to increase in productivity Diane gave a 20% raise.

To Find:

How much is Richard making now = ?

Solution:

Let the amount that Richard is making now be x

Then

x =  8+  20% of 8

x = 8 + \frac{20}{100} \times 8

x = 8 + 0.2 \times 8

x = 8 + 1.6

x = 9.6

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3 years ago
I need assistant with these parallelogram problems​
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Problem 6a

  1. Angle DCB is supplementary to angle ADC and angle ABC. Reason: Adjacent angles in a parallelogram are always supplementary.
  2. AE = EC. Reason: The diagonals of any parallelogram always bisect each other. In other words, the diagonals cut each other in half.
  3. DC = AB. Reason: Opposite sides of a parallelogram are congruent.
  4. angle DCB = angle DAB. Reason: Opposite angles of a parallelogram are congruent.
  5. CD = AB. Reason: segment DC is the same as segment CD. The order of the endpoints does not matter when it comes to listing a segment. Opposite sides of a parallelogram are congruent.

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Problem 6b

<h3>Answers:</h3><h3>angle L = 129</h3><h3>angle S = 51</h3><h3>angle C = 129</h3>

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Work Shown:

angle U = 51 (given)

angle S = angle U (Opposite angles of a parallelogram are congruent)

L+U = 180 (adjacent angles in parallelogram are supplementary)

L = 180-U

angle L = 180-51

angle L = 129

angle C = angle L (Opposite angles of a parallelogram are congruent)

angle C = 129

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

Problem 6c

<h3>Answers:</h3><h3>x = 33/4 = 8.25</h3><h3>y = 50</h3>

------------------

Work Shown:

TI across the top is 4x+9

NA across the bottom is 42

TI = NA since opposite sides of a parallelogram are congruent

4x+9 = 42

4x = 42-9

4x = 33

x = 33/4

x = 8.25

------

angle TAN = 3y

angle TIN = 150

angle TAN = angle TIN (opposite angles of parallelogram are congruent)

3y = 150

y = 150/3

y = 50

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