2. In 2000, Social Security tax was 7.5%, to the maximum income of $53,000. If Mary earned $61,711 in 2000, how
much Social Security did she pay?

The ordered pair of coordinates is (0, 28)

To answer to the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year  and the y-axis represents the average temperature for that month.

We can read out this ordered pair from the attached graph

In conclusion, the graph displays the point on that line which is on the y-axis is (0, 28).

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Answer:

D

Step-by-step explanation:

the midsegment of a trapezoid is half the sum of the parallel sides, that is

midsegment = [tex]\frac{WT+VU}{2}[/tex] = [tex]\frac{17.5+6.1}{2}[/tex] = [tex]\frac{23.6}{2}[/tex] = 11.8

Answer:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.

Step-by-step explanation:

It's counting by two's.

Answer:

18w^6u^8 = 2 * 3 * 3 * w^6 * u^8

30w^2u^5y^7 = 2 * 3 * 5 * w^2 * u^5 * y^7

The greatest common factor of these two expressions is 2 * 3 * w^2 * u^5

So the greatest common factor of 18w^6u^8 and 30w^2u^5y^7 is

2 * 3 * w^2 * u^5

Answer: The ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

Step-by-step explanation:

To find the ratio of the time spent on the job estimate to the total time spent on the job, we need to divide the time spent on the estimate by the total time spent on the job, and then express the result as a fraction.

First, we need to convert both times to minutes.

15 minutes for the job estimate

2 hours = 2*60 = 120 minutes

30 minutes

Total time spent on the job = 120 + 30 = 150 minutes

Now we can divide the time spent on the estimate by the total time spent on the job:

15 minutes / 150 minutes = 1/10

So the ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

1. The number of days is, 21/5

2. The cost of 100 kg rice is,  4520

3. The teachers required are, 120

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

1. Given that,

3 men can complete a work in 7 days

So, we can say magnitude of work is

M = 3 × 7 =21 unit

now, 5 men are working

So,  magnitude of work is same

M = 5 × n

21 = 5 × n

n = 21/5 days

2. the cost of 25kg rice is 1130

price for 1 kg = 1130/25 =45.2

price for 100 kg = 45.2 × 100

                           =  4520

3. 90 teachers required for 1500 students,

1 teacher is expected to handle 1500/90 students,

So, for 2000 students

Teachers required = 2000/(1500/90) = 120

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Answer:

Using an ID reader while checking IDs can make it easier to quickly and accurately verify the authenticity of the ID and the information it contains

Step-by-step explanation:

When checking IDs, it might be simpler to quickly and precisely confirm the validity of the ID and the information it includes by using an ID reader. RFID (radio frequency identification) or barcode or magnetic stripe scanning technology is used by ID readers to swiftly read and decipher the data on the ID. Since there is no longer a need to manually read and compare the information on an ID to a reference document, doing so can speed up and improve the efficiency of ID verification. By automatically cross-referencing the information with a database to confirm that the ID is legitimate and the person presenting it is the legal owner, ID scanners may also aid in the prevention of mistakes and fraud.

Answer: Identify security features

Step-by-step explanation:

Using an ID reader while checking IDs can make it easier to identify security features that don't appear under regular light. O enlarge the small text of microprinting, display data associated with the ID such as age and other information. spot pinholes, cut marks, and other evidence of tampering.

Answer:

D. 41 races

Step-by-step explanation:

We can use the equation:

Number of races per year = Total number of races / Number of years

In this case, the total number of races is 287 and the number of years is 7.

Plugging in the values:

Number of races per year = 287 / 7

Number of races per year = 41

So, Laurie won 41 races each year. The answer is D) 41 races

Considering the figure the value of angle b is

According to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.

hence angle a = angle y

Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

angle b = angle a + 90

= 34 + 90

= 124 degrees

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Answer:

  D.  5

Step-by-step explanation:

You want the constant of proportionality in the relation shown by the graph.

A proportional relation has the equation ...

  y = kx . . . . . . . . where k is the constant of proportionality

When x=1, this becomes ...

  y = k

The value of y when x=1 is marked on the graph: y = 5 at that point, so ...

  k = 5

The value of the constant of proportionality is 5.

Toddler triplets whose names are red, green and blue each have a coat whose colour is given by their name, There are  6ways it can be selected

Generally, There are 3! = 6 ways for the toddler triplets to choose their coats, but since the question asks for exactly one of them to end up with their coat, we need to consider the 3 cases where exactly one of them chooses their coat.

In the case where Red chooses their own coat, there are 2! = 2 ways for Green and Blue to choose their coats. In the case where Green chooses their own coat, there are 2! = 2 ways for Red and Blue to choose their coats. In the case where Blue chooses their own coat, there are 2! = 2 ways for Red and Green to choose their coats.

So in total, there are 2 + 2 + 2 = 6 ways for exactly one of the toddler triplets to end up with their coat.

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Answer:

Hope this helps! Enjoy Learning!:D

0.9976 percent of the time, the automobile won't start immediately away.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Given that,

X = number of morning car starts right away

X          0            1            2             3               4              5

p(x)  0.0024   0.0283   0.1323   0.3087    0.3601    0.1681

So now we are able to find the given probability

p(x ≥ 1) = 1 - p(0)

1 - 0.024 = 0.9976

Here we used complementary rule to find the answer

p(A') = 1 - p(A)

Therefore, the probability that the car does not start right away is 0.9976.

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Answer:

7

Step-by-step explanation:

77 divided by 11 is 7

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Answer:

The answer is 32

Step-by-step explanation:

We solve this by first finding the angle 3. To do this we subtract 180 (the sum of a triangle) and the two known angles. 180-15-17 = 148.

So now we know that the 3rd angle is equal to 148. Now to find the angle 4 we subtract angle 3 from 180, because a straight line is equal to to 180 degrees; 180-148=32

Hope that helps

Answer:

27/7

Step-by-step explanation:

First, note that 3 6/7 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

3 = whole number

6 = numerator

7 = denominator

To convert mixed number 3 6/7 to improper fraction, you follow these steps:

Multiply the whole number by the denominator

3 × 7 = 21

Add the product from Step 1 to the numerator

21 + 6 = 27

Write answer from Step 2 over the denominator

27/7

The mixed number 3 6/7 converted to improper fraction is therefore :

27/7

Answer:

27/7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y + 4 = x is represented in this equation as -3 + 4 = 1

x + y = -6 is represented in this equation as -4 + -2 = -6

"A" fits these equations and the coordinate attached: (-1, -5) matches the point of intersection.

Answer:

41, 49

Step-by-step explanation

It goes up in 8 if you work out 25-17 or 33-25.

33+8=41, 41+8=49

Answer:

Inequalities:

[tex]\begin{array}{|l|c|c|}\cline{1-3} \vphantom{\dfrac12} & \sf Viable & \sf Nonviable\\\cline{1-3} \vphantom{\dfrac12} (10,25)& \checkmark & \\\cline{1-3} \vphantom{\dfrac12} (10,20)&&\checkmark \\\cline{1-3} \vphantom{\dfrac12} (20,12)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (35,0)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (20,20)&&\checkmark \\\cline{1-3}\end{array}[/tex]

Step-by-step explanation:

Definition of variables:

Given information:

The inequality that represents Barrett working no more than 35 hours is:

The inequality that represents Barrett earning at least $400 is:

To determine if each point is a viable or nonviable solution, substitute each point into the two inequalities.  If both inequalities are true, the solution is viable.

[tex]\begin{aligned}(10,25) \implies 10+25 &\leq 35\\35& \leq 35 \leftarrow \sf true\\\\ \implies 15(10)+10(25)&\geq400\\400&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (10, 25) is a viable solution.

[tex]\begin{aligned}(10,20) \implies 10+20 &\leq 35\\30& \leq 35 \leftarrow \sf true\\\\ \implies 15(10)+10(20)&\geq400\\350&\geq 400 \leftarrow \sf false\end{aligned}[/tex]

Therefore, point (10, 20) is not a viable solution.

[tex]\begin{aligned}(20,12) \implies 20+12 &\leq 35\\32& \leq 35 \leftarrow \sf true\\\\ \implies 15(20)+10(12)&\geq400\\420&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (20, 12) is a viable solution.

[tex]\begin{aligned}(35,0) \implies 35+0 &\leq 35\\32& \leq 35 \leftarrow \sf true\\\\ \implies 15(35)+10(0)&\geq400\\525&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (35,0) is a viable solution.

[tex]\begin{aligned}(20,20) \implies 20+20 &\leq 35\\40& \leq 35 \leftarrow \sf false\\\\ \implies 15(20)+10(20)&\geq400\\500&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (20, 20) is not a viable solution.

[tex]\begin{array}{|l|c|c|}\cline{1-3} \vphantom{\dfrac12} & \sf Viable & \sf Nonviable\\\cline{1-3} \vphantom{\dfrac12} (10,25)& \checkmark & \\\cline{1-3} \vphantom{\dfrac12} (10,20)&&\checkmark \\\cline{1-3} \vphantom{\dfrac12} (20,12)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (35,0)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (20,20)&&\checkmark \\\cline{1-3}\end{array}[/tex]

The cost of both the shirt and pants each is $10, solved using elimination method.

Let s stand for shirt and p for trousers.

Then we may solve the following equations:

1st Equation:

2s + 3p = 50

2nd Equation:

3s +1p = 40

Our initial aim is to determine the cost of one shirt. To get rid of the pants, we might artificially multiply the second equation by -3. This is what it would look like:

2s + 3p = 50

-3(3s +1p) = -3(40) (40)

———————————————

2s + 3p = 50

-9s - 3p = -120 We can obviously remove the pants (p) now.

—————————————

-7s = -70

Divide both sides by -7 to isolate s, and we get:

s = 10 -> As a result, one shirt costs $10.

Pants = 2(10) + 3p = 50

p = $10

Let us calculate the cost of 5 shirts.

As a result, we will perform 5 x $10 = $50.

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Complete question:

You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. how much does the shirts cost?

Answer: 24/14 or 1 10/14

Step-by-step explanation:

11/14 + 9/14 = 20/14

Add the 11 and nine first.

Then add 20/14 + 4/14 and that = 24/14 or you can turn it into a mixed fraction of 1 10/14.

You're Welcome!

The amount that will be realized after 7years is $3459.5

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Amount in Compound interest is given as:

A = P(1+r/n)^nt

Where A is the amount

P is the principal

t is the duration and

n is the period of compoundment

r is the rate

n= ¼, r = 3.5/100 = 0.035

therefore A = 2750(1+0.035/0.25)^0.25×7

A = 2750( 1+0.14)^1.75

A= 2750(1.14)^1.75

A = 2750×1.258

A = $3459.5

Therefore the amount after 7 years is $3459.5

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To divide 3/4 by 1/2 using unit rate proportionality, we can set up a proportion with 3/4 as the numerator and 1/2 as the denominator, and then cross-multiply and solve for the unknown value.

3/4 / 1/2 = X

To solve for X, we can cross-multiply to get:

(3/4) * (2/1) = X * (1/2)

Which simplifies to:

3/2 = X

So 3/4 divided by 1/2 is equal to 3/2.

It's important to note that when dividing fractions, we can also simply invert the divisor and multiply the two fractions, 3/4 * 2/1 = 6/4 =3/2.

The exact value of x depends on the context of the problem. Without any additional information, it is impossible to answer this question.

The average speed for the whole journey will be 62.33 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

Since Dwight drives 85 km at an average speed of 120 km/h and then 6 km at 90 km/h without stopping.

The average speed for the whole journey will be:

= (85 + 6) / (85 / 120) + (90 / 120)

= 91 / (0.71 + 0.75)

= 62.33 km per hour.

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Answer:

Solving by Factoring is a strategy used to solve quadratic equations. This strategy involves factoring the quadratic equation. Factoring is breaking an expression down into smaller expressions that when multiplied together will equal the original expression.

Step-by-step explanation:

To solve a quadratic equation by factoring we must first get the equation into the form ax^2 + bx + c = 0. From here we must use a strategy of factoring known as Reverse FOIL. By using reverse FOIL we will break the equation down into smaller parts. The four steps to use in reverse FOIL are:

1. Find two factors of “ac” (the coefficient of x^2) that when added together equal “b” (the coefficient of x).

2. Multiply the two factors you found in step one to produce “ac.”

3. Group the two terms with the “ac” terms in the equation.

4. Factor the two terms with “bx” in them.

For example, if we have an equation such as 9x^2 + 15x + 4 = 0  we would look for two factors of 4 (ac) that when added together equal 15 (b). The two factors of 4 that when added together equal 15 are -1 and -4. Therefore our equation would become: (9x^2 -1x -4x +4) and we can group the terms like this: (9x^2 -1x)(-4x +4).

The fourth step is to factor the two terms with “bx” in them. In our equation, the two terms with “bx” in them are -1x and -4x. Factoring these terms give us: (9x^2 -1x)(-4x +4) = (3x -1)(3x -4).

The final step is to find the two solutions, or the “x” values, that make the equation equal zero. To find these two x values, just set each factor to zero, and solve the resulting equations. In this example, setting the first factor, (3x - 1) equal to zero, we get x = (1/3); setting the second factor, (3x - 4) equal to zero, we get x = (4/3).

Therefore, the two solutions to 9x^2 + 15x + 4 = 0 are x = (1/3) and x = (4/3).

Using the strategy of Factoring, we have been able to successfully solve the equation 9x^2 + 15x + 4 = 0.

The algebraic expression of 8 minus the product of 9 and r is 8 - 9r

From the question, we have the following parameters that can be used in our computation:

8 minus the product of 9 and r

The product of 9 and r can be represented as 9r

So, we have the following representation

8 minus 9r

Minus means -

So, we have

8 - 9r

Hence, the expression is 8 - 9r

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Answer:

Let's call the amount his wife paid for her car "x". We know that:

Marc's car = $52,000

Marc's car = 2x - $7,600

We can substitute the first equation into the second equation

52,000= 2x-7600

52,000+7600=2x

59,600=2x

x=29,800

His wife paid $29,800 for her car.

Answer:

$29,800.00

Step-by-step explanation:

52000 = 2x - 7600  Add 7600 to both sides

52000 + 7600 = 2x

59600 = 2x  Divide both sides by 2

29800 = x