When six is added to four times a number the result is 42 find the number

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

B

Step-by-step explanation:

7 > x  means what numbers are less than 7

A  and C are not correct because 7 = 7 is not less than 7

B is correct because 7 > -2, and 7 > 0

D is not correct because 8, 10, 20 are more than 7

Answer:

57.14%

Step-by-step explanation:

add those 3 together and convert whats left into a percentage

Answer:

It will fly 48,620 is 7.15 hours.

Step-by-step explanation:

\(\frac{37604}{5.53}\) ≈ 6800 miles in 1 hour.  This is rounded to the nearest whole number

7.15 x 6800 = 48,620

Answer:

C

Step-by-step explanation:

X-4 =-6                  X-4=-6

X=6+4                    X= -6+4

X=10                      X=-2

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

4 11/12

Step-by-step explanation:

Well 9 - 4 1/12 is 4 11/12

Answer:

Step-by-step explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14   {subtract 26x form both sides}

28x - 26x = 14

          2x = 14   {divide both side by 2}

        2x/2 = 14/2

             x = 7

KL = 14x = 14*7

KL = 98

Answer:

Step-by-step explanation:Its B because Hyperbolic geometry, also called Lobachevskian Geometry, a non-Euclidean geometry that rejects the validity of Euclid's fifth, the “parallel,” postulate. Simply stated, this Euclidean postulate is: through a point not on a given line there is exactly one line parallel to the given line.

Answer:

1/5 of $28 is $5.60 so $28 - $5.60 = $22.40

Step-by-step explanation:

Answer:

v=20

you set IH and FG equal to each other and solve

Answer:

B)

Step-by-step explanation:

8 is even number which uses each of the digits exactly once.

The answer to this Question based on website is

What is website?

It is form of storage of information in well ordered way

Solution:

As we know she earns 0.75$ per set she sells in her website

and she sold 8 sets

hence total money he could earned = 8*0.75 = $6

but she made only = 2.25$ because remaining money she paid as website fee which was 6 - 2.25 = 3.75$

hence each week she has to pay 3.75$ as website fee so we can calculate his profit equation as follows

profit = 0.75x - n/7(3.75)

where x is no of sets sold on website and n is number of weeks in which these sets were sold

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The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Step-by-step explanation:

z-score of X = 6150

\( \frac{6150 - 6250}{250} = - 0.4 \\\)

z-score of X = 6350

\( \frac{6350 - 6250}{250} = - 0.4\)

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

Answer:

a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. His blood pressure is of 149.5 millimeters

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Which answer(s) is/are correct?

His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.

b. Calculate Kyle's blood pressure.

We have to find X when \(Z = 1.75, \mu = 125, \sigma = 14\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.75 = \frac{X - 125}{14}\)

\(X - 125 = 1.75*14\)

\(X = 149.5\)

His blood pressure is of 149.5 millimeters

Answer:

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

Step-by-step explanation:

From the question we are told that:

Sample size \(n=36\)

Mean diameter \(\=x=1.4\)

Standard deviation \(\sigma=0.5cm\)

Null hypothesis \(H_0 \mu=1.5\)

Alternative hypothesis \(\mu \neq 1.5\)

Significance level \(1\%=0.001\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }\)

\(t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }\)

\(t=-1.2\)

Therefore since this is a two tailed test

\(t_{n-1,\alpha/2}\)

 Where

   \(n-1=36-1=>35\)

   \(\alpha=/2=0.001/2=>0.0005\)

From table

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

Answer: $110

Step-by-step explanation:

Adam would have $110. Subtract 210 from 450 to get how much money he has after shopping for food. 450 - 210 = 240. Divide 240 by 4 because he distributed his money into 4 parts. 240 / 4 = 60. He keeps one fourth of the 240, so he keeps $60. He finds $50 on the road, so 40 + 50 = 110. He has $110 in the end.

Answer:

  40.3%

Step-by-step explanation:

You want to know the percentage of a 62 gram allowance of fat is represented by a burger with 25 grams of fat.

The fraction can be converted to a percentage by multiplying by 100%.

  burger/allowance = (25 g)/(62 g) × 100% = 40.3%

King has 40.3% of his daily allowance for fat when he ate his burger.

Answer:

1. 6(a+8)

2.9(a-9b)

Step-by-step explanation:

1. Factor 6a+48

6a+48

=6(a+8)

2. Factor 9a−81b

9a−81b

=9(a−9b)

Hope this helps :)

Answer:

93%

Step-by-step explanation:

28 divided by 30= 0.93

0.93= 93%

Answer:

100%

Step-by-step explanation:

30 +28=58 this is the total of people in class

58/58× 100=100%

Answer:

Step-by-step explanation:

a. 6+3=9

b.6-1=5

c. 6(6)=36

d. 6/2=3

The solution are, a. 6+3=9,  b.6-1=5, c. 6(6)=36, d. 6/2=3.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

A sample of scores has a mean of M = 6.

a. A constant value of 3 is added to each score.

i.e.  6+3=9,

b. A constant value of 1 is subtracted from each score.

i.e. 6-1=5,

c. Each score is multiplied by a constant value of 6.

i.e. 6(6)=36

d. Each score is divided by a constant value of 2.

i.e. 6/2=3.

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The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer:

All of the above, except for 'What is the name of the doctor at Healthy Kids Pediatrics?'

Step-by-step explanation:

What is your favorite television show that you watched this week? - If we define your favourite show as that which you watched most, you could gather data here on time spent watching each show to determine the answer

What store in the mall are you most likely to purchase apparel from? - Similar to before, data on your previous trips to the mall could be gathered to determine which stores you have been to the most often, and using this make a prediction of the most likely you are to purchase apparel from

How many students at your school have a skateboard? - Here data could be gathered by asking which students have a skateboard and which do not

What is the name of the doctor at Healthy Kids Pediatrics? - This question only has an answer, and it would be the name of the doctor

Answer:

How many students at your school have a skateboard?

Step-by-step explanation:

Since it is asking multiple people it can result in data. It can't result in data if it asks just one question to someone

Answer:

1035.75

Step-by-step explanation:

Answer:

your answer is 168 adult tickets

Step-by-step explanation:

Just got 100 on edge

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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Answer:

533

Step-by-step explanation:

Ends in an odd number

Answer:

the first one: 0533

Step-by-step explanation:

1,3,5,7,9 are basic odd numbers

2,4,6,8 are basic prime numbers

see what the last digit is aka the ones place

see if it ends in an odd or even

the only one that has the last digit as an odd number is the first one 0533, therefore it is the answer.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.