Complete the following ratios: Current assets = $13,000 Inventory = $4,400 Current liabilities = $10,000 Net income = $7,700 Net sales = $24,400 A. Profit margin on net sales (round to nearest tenth percent) B. Acid test (round to nearest tenth percent.)

Answer:

y=−3x+21

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.

It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :

PM = MR

2x+5 = 4x -7

4x -2x = 5 + 7

2x = 12

x = 12/2

x = 6

Hence proved that the value of x is 6

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Based on the percentage that passed English and those who passed Mathematics and those who failed and passed both, the total number of students who appeared in the examination are 60 students.

The number of students who passed only in Math are 12 students.

This can be found as:

= Total who passed English only + Total who passed Math only + Total who failed both + Total who passed both

Assuming the total is n, the equation becomes:

n = 0.75n - 21 + 0.55n - 21 + 21 + 0.05n

n = 1.35n - 21

21 = 0.35n

n = 21 / 0.35

= 60 students

The number who passed mathematics only is:

= (60 x 55%) - students who passed both

= 33 - 21

= 12 students

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It would cost 2025p to send one parcel weighing 170g and two parcels weighing 320g each.

In order to find out how much it will cost to send one parcel weighing 170g and two parcels weighing 320g each, we can use the information given to us in the question: it costs 50p to post a parcel that weighs 20g. Using this information, we can create a proportion. We know that 50p is the cost to send a parcel weighing 20g, so if we multiply the weight of the parcel by 2.5, we can find out how much it would cost to send that parcel.

For example, a parcel weighing 50g would cost 125p (50 x 2.5 = 125). To find out how much it would cost to send a parcel weighing 170g, we can use this porpotion: 50p/20g = x/170g

Multiplying both sides by 170g, we get:

x = (50p/20g) * 170gx = 425p

So, it would cost 425p to send a parcel weighing 170g.To find out how much it would cost to send two parcels weighing 320g each, we can use the same proportion:

50p/20g = x/320g

Multiplying both sides by 320g, we get:

x = (50p/20g) * 320gx = 800p

So, it would cost 800p to send two parcels weighing 320g each.

To find out the total cost to send all three parcels, we simply add up the costs:

425p + 800p + 800p = 2025p.

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Answer:

the answer would be e because you can't determine the side length

Answer: (B)

Step-by-step explanation:

Step 1: Find minimum values of the third side.

53-17 = 36

Step 2: Find maximum values of the third side.

17+53 = 70

Step 3: Find equation

36 < x < 70

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

"Female doctors make up 22.2% of all registered doctors," the inquiry states.

Consider the entire number of doctors who are registered as x; 22.2% of those doctors are women.

and 47,200 divided by 22.2% of x

=>22.2/100 * x = 47,200

in math

264414 doctors were registered that year, or

x = 58700* 100/22.2 x.

Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.

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Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

\((x^a)^b = x^a^b\)

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

\(x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6\)

Or more simply,

\((x^3)^2 = x^(^3^*^2^) = x^6\)

So in this case:

\((64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8\) (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

We can expect a student to guess 17 correct answers on a test with 68 four-choice multiple choice questions with probability 0.25.

Since the probability of guessing the correct answer to a four-choice multiple choice question is 0.25, the probability of guessing an incorrect answer is 1 - 0.25 = 0.75.

We can model the number of correct guesses as a binomial distribution with n = 68 (the number of trials) and p = 0.25 (the probability of success, i.e., guessing correctly).

The expected value of a binomial distribution is given by the formula:

E(X) = n * p

So, in this case, the expected number of correct answers that a student should guess on the test is:

E(X) = 68 * 0.25 = 17

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Refer to the photos taken.

Answer:

focusing is your key to get this

Step-by-step explanation:

Greater

36+9,000 > 40

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Answer:

-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 5       inches

w = 4/3   inches.

Formula

Area = L * w

Solution

Area = 5 * 4/3

Area = 20/3

Area = 6 2/3

Or area = 6.67 square inches

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

A. y-intercept is 8, Slope is -4/3

Step-by-step explanation:

Answer: 1) for 75° is in quadrant 1, which is on top right.

2) draw a line on quadrant 2 in the half, each square is 90° so add to the nearest 160.  -draw a circle from top right to the top left in the half of that square.

3) for 430 youll do one entire circle because each square is 90°, and 90x4 is 360 degrees so youll end with a line between quadrant 1 and 2

Step-by-step explanation: you gotta calculate about where the lines are gonna be, it aint easy to explain in just words.

The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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The values of y and z that make the triangles to be congruent are 13 each

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

The triangles

For the two triangles to be congruent, the following equations must be true

2y = y + 13

y + 5z - 20 =  2y + z + 19

When the above equations are evaluated, we have

y = 13

Next, we have

4z = y + 39

So, we have

4z = 13 + 39

Add and divide by 4

z = 13

Hence, the values of y and z are 13

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Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is dividing by zero (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

In line 9., by dividing by b = 0, again, we have;

Therefore, one rule of algebra that is broken is dividing by zero and having a finite result

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If j(x) = 4^(x - 2), the solving the given expression [j(x + h) - j(x)]/h gives;

[j(x + h) - j(x)]/h = (4^(x - 2))(4^(h) - 1)]/h

We are given the function as;

j(x) = 4^(x - 2)

Now, we want to solve the expression;

[j(x + h) - j(x)]/h

This gives us;

j(x + h) = 4^(x - 2 + h)

Thus, our expression is now;

[j(x + h) - j(x)]/h = [4^(x - 2 + h) - 4^(x - 2)]/h

Now, according to laws of exponents, we know that;

y³ × y² = y³ ⁺ ²

Thus;

4^(x - 2 + h) = 4^(x - 2) × 4^h

Therefore;

[4^(x - 2 + h) - 4^(x - 2)]/h = (4^(x - 2))(4^(h) - 1)]/h

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Answer:

Step-by-step explanation:

For x intercept:

0 = x−2

x = 2

For y intercept:

y = x−2

y = 0 -2

y = -2

For x intercept:

0 = -3x-6

6 = -3x

x = -2

For y intercept:

y= -3x-6

y = -3(0)-6

y = -6

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Taking into account the definition of a system of linear equations, the correct answer is option D: the total cost for 1 child and 1 adult to take an art class is $55.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

The solution of a system of equations is a set of real numbers that satisfies all the equations at the same time. That is, in the systems of equations, the values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

3x + 2y= 120

5x + y= 95

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "y" from the second equations:

y= 95 - 5x

Substituting the expression in the first equation:

3x + 2×(95 - 5x)= 120

Solving:

3x + 2×95 - 2×5x= 120

3x + 190 - 10x= 120

3x -10x= 120 - 190

(-7)x= -70

x= (-70)÷ (-7)

x= 10

Remembering that y= 95 - 5x, you get:

y= 95 -5×10

y= 45

Then, the total cost for 1 child and 1 adult to take an art class can be calculated as:

Total cost= cost for 1 child to take an art class + cost for 1 adult to take an art class.

Total cost= $10 + $45

Total cost= $55

Finally, the total cost is $55.

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Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC