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Nitella [24]
3 years ago
5

25 points please answer all 4 problems

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

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Tom drove 408 miles using 16 gallons of gas. at this rate, how many miles would he drive using 11 gallons of gas?
Rudik [331]
(11x408) / 16 = 280.5 miles on 11 gal of gas
8 0
3 years ago
Please help me with this question
coldgirl [10]

Answer:

cos(x-30)=1/2

Step-by-step explanation:

We use the following relationship to obtain cos(x)

sin^{2}(x) +cos^{2}(x) +1

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4

To obtain the value of cos(x-30), lets remember the following expression:

cos(a-b)=cos(a)*cos(b)+sin(a)*sin(b)

Therefor, we can use that to obtain our desired function cos(x-30)

cos(x)*cos(30)+sin(x)*sin(30)

\frac{\sqrt{3} }{2} * \frac{\sqrt{3} }{2}  +\frac{-1}{2}*\frac{1}{2}

=2/4=1/2

5 0
3 years ago
What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income
Scilla [17]

Answer:

multiply 63280 by 1.5% (.015).  The answer is $949.20

Step-by-step explanation:

7 0
3 years ago
If the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate
evablogger [386]

Answer:

Step-by-step explanation:

diameter = circumference / π

= 31/π

= 9.9 ins to nearest tenth

6 0
2 years ago
In 2020, dawn earned $248,000. social security tax is 6.2% to a maximum income of $137,700. what was your monthly gross pay? in
Dovator [93]

Monthly gross pay is $20,666.67; Dawn reached the maximum taxable social security income in July; the amount of social security tax Dawn paid in February, July and November are $1,281.33, $849.42, and $0 respectively.

<h3>How do we calculate Social Security Tax?</h3>

Annual gross pay = $248,000

Monthly gross pay = $248,000 / 12 = $20,666.67

Maximum taxable social security income = $137,700

Social Security Tax Rate = 6.2%

Total Social Security Tax = Maximum social security income * Social Security Tax Rate = $137,700 * 6.2% = $8,537.40

Monthly Social Security Tax = Monthly gross earnings * Social Security Tax Rate = $20,667 * 6.2% = $1,281.33

Number of months Don reached the maximum taxable social security income = Maximum social security income / Monthly gross pay = $137,700 / $20,666.67 = 6.66 months

Since 6.66 months is greater than 6 but less than 7, this implies that the month Don reached the maximum taxable social security income is the 7th month which is July 2020.

Also, the 6.66 months imply that Dawn will fully pay his Total Social Security Tax in July.

Social security tax Dawn paid in February = Monthly Social Security Tax = $1,281.33

Social security tax Dawn paid in July = Total Social Security Tax - (Monthly Social Security Tax * 6) = $8,537.40 - ($1,281.33 * 6) = $849.42

Social security tax Dawn paid in November = $0

Note that $0 was paid in November because Dawn had already paid fully his Total Social Security Tax in July.

Learn more about Total Social Security Tax here: brainly.com/question/18268724.

#SPJ1

3 0
2 years ago
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