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Lady_Fox [76]
3 years ago
14

Gross earnings are $655.12. Calculate social security deduction from earnings. (round answer)

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

social security rate is 6.2%

$614.50 is the net earnings after deduction

Step-by-step explanation:

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Over the summer Mr.Patel refilled a bird feeder 24 time using 6 cups of seeds each time.A bag of seeds holds 32 cups. How many b
nalin [4]

Answer:

The equation representing the problem is x=\frac{24\times 6}{32}.

Mr. Patel used 5 bags of seeds.

Step-by-step explanation:

Given:

Number of times bird feeder refilled =24

Number of cups of seeds used each time = 6 cups

Number of seeds each bag holds = 32 cups.

We need to write the equation to represent the problem.

Solution.

Let the total number of bag of seed be 'x'.

First we will find the Total number of cups of seeds used.

Now we can say that;

Total number of cups of seeds used can be calculated by multiplying Number of times bird feeder refilled by Number of cups of seeds used each time.

framing in equation form we get;

Total number of cups of seeds used = 24\times6 \ cups

Now We know that;

1 bag holds = 32 cups

Total number of bags required = 24\times6 \ cups

So we can say that;

Total number of bags required is equal to Total number of cups of seeds used divided by number of seed hold by each bag.

framing in equation form we get;

x=\frac{24\times 6}{32}

Hence the equation representing the problem is x=\frac{24\times 6}{32}.

On solving we get;

x=4.5

Since bags cannot be bought in half or in decimal value.

Hence we can say Mr. Patel used 5 bags of seeds.

7 0
3 years ago
Monica has 8 more than 3 times the number of marbles Regina has.if Regina has r marbles,how many marbles does Monica have?
jarptica [38.1K]
Monica has +8(3 times (Regina))or

M=8+(3R)

8 0
4 years ago
What is the vertex of f(x)=x^2+6x+1 <br><br> Write your answer as an ordered pair without spaces
netineya [11]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad p
Alexeev081 [22]

The girl walked a distance of \boxed{{\mathbf{5 miles}}}  in her way.

Further explanation:

The time can be calculated as,

{\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}  

Given:

It is given that a girl stands 20 miles away from the school at 6:50{\text{ am}}  and she started walking at the rate of 3{\text{ mi/hr}}  and then after some time her dad pick up and he drives at the rate of 30{\text{ mi/hr}} . They reach the school at 9:00{\text{ am}} .

Step by step explanation:

Step 1:

Consider x  as the distance she walked in her way.

The speed of the girl when she walked is 3{\text{ mi/hr}} .

Now use the formula of time to obtain the walk time.

\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}

Since the total distance is 20{\text{ miles}} .

Then consider 20-x  as the distance driven by the car.

The driving speed is 30{\text{ mi/hr}} .

Now use the formula of time to obtain the drive time.

\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}

Step 2:

Now we calculate the total time took by girl to reach the school.

  9:00-6:50={\text{2 hrs 10 min}}

Now convert the timing into hours as,

\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}

Now solve the above equation by cross multiply method.

\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}

Now simplify the further equation.

\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}

Simplify the further equation.

\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}

Therefore, the girl walked 5 miles.

Learn more:  

  • Learn more about the distance between the points <u>brainly.com/question/6278187 </u>
  • Learn more about the equivalent fraction <u>brainly.com/question/952259 </u>
  • Learn more about midpoint of the segment <u>brainly.com/question/3269852 </u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

8 0
4 years ago
Read 2 more answers
Ty worked 4 hours and earned $28. At this rate, how much would he earn in 9 hours?
lora16 [44]

Answer:

63

Step-by-step explanation:

Ty worked 4 hours ad earned $28. This means that he earned $7 per hour. So, 7 times 9 is equal to 63. Which means that Ty will earns $63 in 9 hours.

3 0
3 years ago
Read 2 more answers
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