one box of salt contains 2.5 pounds and cost 2.57 how much is the price per ounce

If you are an apprentice plumber earning an annual salary of $21,060, and you lay claim to 3 allowances, the amount that will be withheld from your weekly pay for federal income tax is: $7.

To obtain the correct amount to be paid, we need to use the table provided by the IRS. First note that there are 52 weeks in a year, so we need to divide your annual earnings by the total number of weeks in a year.

So, 21060/52 = $405

When we look at the table to see the chart for a person who has a weekly wage of 400 - 410, and lays claim to three allowances, we will see that the right amount that such an individual is meant to pay is $7.

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Answer:

10

Step-by-step explanation:

sqrt 40 = 6.3

6.3 round to the nearest ten is 10

9514 1404 393

Answer:

  6.3

Step-by-step explanation:

Almost any calculator can tell you the square root of 40 is about 6.324555...

Rounded to the nearest tenth, that is √40 ≈ 6.3

Podras comprar un total de 8 docenas, y sobrara $1.30

Sabemos que una docena de bananos cuesta $2.65, y queremos ver cuantas docenas se peden comprar con $22.50, para ver esto, debemos tomar el cociente entre la cantidad de dinero que tenemos y el precio de una docena.

Obtendremos:

$22.50/$2.65 = 8.49

Redondenado al proximo numero entero obtenemos 8, es decir, se pueden comprar 8 docenas.

La cantidad que sobra es:

$22.50 - 8*$2.65 = $1.30

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Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

\(3\dfrac{1}{4} \ \ or \ \ 3,25\)

Step-by-step explanation:

\(\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25\)

Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

what is you question?

Step-by-step explanation:

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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Answer:

1,3,4,5

Step-by-step explanation:

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

Answer:

2.0625 feet

Step-by-step explanation:

The S-Scale ratio is 1:64, so the answer is just 132/64, or 2.0625.

If you're building a miniature locomotive, good luck man

Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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The equation represents exponential growth is , y= 2*\(3^{x}\) and y= 3*\(5.2^{x}\) .

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

The equation, y= 3x shows a linear graph.

The equation, y= 0.2x shows a linear graph.

The equation, y= 2*\(3^{x}\) shows a exponential growth graph.

The equation, y= 3*\(5.2^{x}\) shows a exponential growth graph.

The graph of the above equations are shown below

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The proof based on the triangle was done based on the fact that they are congruent triangles.

In this question we have  ΔABC ≅ ΔBAD

We have the following congruent sides in this triangle.

These are:

AB ≅ BA;

AC ≅ BD;

BC ≅ AD

These are corresponding angles too

∠ABC ≅ ∠BAD;

∠BCA ≅ ∠ADB;

∠CAB ≅ ∠DBA.

From the question we can see that the angles A and D can be said to be common. Hence we can say that

AE ≅ EB

Then CD would bisect AB

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

100°

Step-by-step explanation:

tThe sum of all arc measures that make up that circle is 360 degrees.

QS + RQ + RS = 360

QS = 360 - 120 - 140 = 100

An arc angle is the degree measurement of that angle inside the circle, opposite the arc

m∠R = arc QS = 100°

Answer:

∠ R = 50°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc QS

the sum of the arcs on a circle is 360° , that is

RQ + QS + SR = 360°

120° + QS + 140° = 360°

QS + 260° = 360° ( subtract 260° from both sides )

QS = 100°

Then

∠ R = \(\frac{1}{2}\) × 100° = 50°

Answer:     Part A: y= -1200x +25000 this is because it decreases 1200$ a year that is your rate of change and it started at 25000 that is your y-intercept

                  Part B:  question a would be 46000$ because that’s where the zero is which is when he bought it question b is 3000$ because that is how much the table decreases with each year

Step-by-step explanation:

just to add some more to matthewwjohnson92 great reply above.

part A

year........value

1...........25000 - 1200(1)

2...........25000 - 1200(2)

3...........25000 - 1200(3)

4...........25000 - 1200(4)

x...........25000 - 1200(x)

part B

Check the picture below.

how much lost each year? from 0 to 3 it lost 9000, so 9000/3 = 3000 per each year.

The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the function below

g(x) = (x − 2)^3 + 6

The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.

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Answer:

g(x) is shifted 6 units to the left and 2 units down.

Step-by-step explanation:

took the test

Answer:

32 yards (squared)

Step-by-step explanation:

Length x width = area (LxW=A)

Step 1:

Length = 6 yards

Width = 5 1/3 yards

Step 2:

Multiply 6 x 5 1/3 because 6 is the length, 5 1/3 is the width, and LxW=A.

6 x 5 1/3 = 32 yards (squared)

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

5 is the answer

Step-by-step explanation:

because it you add 5 to all the x values you get the y values

Answer:

4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009

Answer:

sorry i did not get i sorryt

Answer:

$4.40.

Step-by-step explanation:

$27.50 × 16/100

=$4.40

The answer is \((x+9)+(x-2)\) .

We have given two statements one is " number increased by nine "

Let the number be x .

Mathematically , first statement is represented by

  x + 9

Second statement is " number decreased by two "

Mathematically , second statement is represented by

  x - 2

According to the question

Sum of first and second statement = \((x+9)+(x-2)\)

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I) The angles are not equal then the two triangles are not Congruent.

ii) The point E is 1.5 from point B.

A line that divides the line into two distinct or equal segments is referred to as a "bisector." It is applied to angles and line segments.

A ray that divides an angle into two equal pieces is known as an angle bisector or the bisector of an angle.

Given:

As, <CAB = 19.4 and <DAB = 33.7

So,  CAD and DAB are not congruent.

ii) The point E should be located 1.5 away from point B.

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1. 1.875 pounds 5*6 is 30 oz, 30 oz is 1.875

2. 1.875 * 14 is 26.25 so no

3. 8*16 = 128 oz

4. 128/20 = 6.4 times

5. there are 1000 grams in a kilo gram, so we have to do 1000/350. 1000/350 is  2.86 ( rounded up ) you cant buy 0.86 so lets round up to 3

6. Now that we know 2.86 is one kilo if we want 3 then we do 2.86 * 3. 2.86 * 3 is 8.56. We cant buy 0.56 so lets round up to 9

7. 1 ton 1500 pounds to 4 tons 2116.44 pounds (rounded)

8.  7.5 tons

9. 0.666666666 pounds (not 100% on this)

10.  5.71 (rounded) obv you cant buy 0.71 so lets round up to 6