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Ad libitum [116K]
1 year ago
10

In Rodger's state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarte

rs and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter including January, February, and March, Rodger made a total of $13,950.80. In the quarter including April, May, and June, he made a total of $14,250.10. Find Rodger's weekly unemployment amount.
Mathematics
1 answer:
frozen [14]1 year ago
4 0

Rodger's weekly unemployment amount is $ 705.0225

Given,

The total of the quarterly wages of two consecutive quarters and dividing by 26.

The weekly unemployment is 65% of that amount.

Rodger made a total of $13,950.80.

and, he made a total of $14,250.10

We have to follow the some steps for solving question:

Step 1:  Find the total of the quarterly wages of two consecutive quarters.

= $ 13,950.80 + $ 14,250.10

= $28,200.90

Step 2 : Divide the total  by 26

  = $28,200.90 / 26

  =  1,084.65

Step 3 : Find the 65%

  =   1,084.65 x 65%

  =  1,084.65 x 65/100

  =   705.0225

Hence, Rodger's weekly unemployment amount is $ 705.0225

Learn more about Wages at:

brainly.com/question/13847060

#SPJ1

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A group of people went to a coffee shop.
Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = \frac{13}{45}

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = \frac{1}{5}.5x = x

  Total number of people who chooses tea  = \frac{4}{5}.5x = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = \frac{2}{9}x

   Total number of people who choose tart after coffee = \frac{7}{9}x

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = \frac{5}{6}.4x = \frac{20}{6}x

   Total number of people who choose tart after tea = \frac{1}{6}.4x = \frac{4}{6}x

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = \frac{7}{9}x + \frac{4}{6}x

                                                                         = \frac{7}{9}x + \frac{2}{3}x

                                                                         = \frac{7x + 6x}{9}

                                                                         = \frac{13}{9}x

⇒Total number of people who chooses tart = \frac{13}{9}x

Now,

Fraction of the people chose a tart = \frac{People choose tart}{Total people}

                                                           = \frac{\frac{13}{9}x }{5x}

                                                           = \frac{13}{45}

⇒Fraction of the people chose a tart = \frac{13}{45}

4 0
3 years ago
1
Sergeu [11.5K]

Answer:

9C=5(F-32)

Step-by-step explanation:

The equation which can convert the temperature from degree Celsius into degree Fahrenheit is given as under

9C=5(F-32)

We can solve it further for F as

9C=5F-5 \times 32

9C=5F-160

9C+160=5F

Dividing both sides by 5 we get

\frac{9C}{5}+32=F

F=\frac{9C}{5}+32

Now substituting values of C in this equation will give us the corresponding values of F

Ex : C=1

F=\frac{ 9\times 1}{5}+32

F=\frac{ 9+160}{5}

F=\frac{ 169}{5}

Hence 1 degree Celsius is \frac{ 169}{5} degree Fahrenheit

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3 years ago
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Airida [17]

Answer:

46

Step-by-step explanation:

Multiply the two by both numbers inside the parenthesis

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Add those numbers together

12 + 30 = 42

Then add the remaining four to that number

4 + 42

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