solve x in the problem 19+x=7x+11​

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

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Answer:

4725 Students

Step-by-step explanation:

First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)

Answer:

4725 Students

Step-by-step explanation:

To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.

So...

Previous enrollment: 4500

5% of Previous enrollment = 0.05 * 4500 = 225

This year's enrollment = 4500 + 225 = 4725

So the final answer is 4725 students.

Answer:

2.3456 and two plus the square root of sixteen

Step-by-step explanation:

not sure

The numbers are 1/4 π and \(\sqrt[3]{9}\) is irrational.

It is required to choose the numbers are irrational.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all numbers are irrational.

Given :

We have to find the given option is irrational or not.

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

π is an infinite decimal, so it cannot be expressed as a rational number.  

So, 1/4 π is irrational

\(\sqrt[3]{9}\)  is an irrational number.

2 + √16

=2+4= 6

So, 2 + √16  is a rational number.

Therefore, the numbers are 1/4 π and \(\sqrt[3]{9}\) is irrational.

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Answer:

Each sweater costs $8.30

Step-by-step explanation:

j = jeans

s = sweater

3j + 3s = 105.69

3(26.93) + 3s = 105.69

80.79 + 3s = 105.69

-80.79          -80.79

3s = 24.9

/3   /3

s = 8.3 ($8.30)

Check:

3j + 3s = 105.69

3(26.93) + 3(8.3) = 105.69

80.79 + 24.9 = 105.69

105.69 = 105.69

Hope this helps!

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

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Answer:

none of these are correct. The slope would be 9 and y-intercept would be -27

Answer: it's c

Step-by-step explanation: I got it right on edge 2022!

To find the length of a rectangle with given coordinates, you need to use the distance formula. The distance formula is a mathematical formula that is used to find the distance between two points in a plane.

The distance formula is given by -

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points, and d is the distance between the points.

To find the length of a rectangle, you will need to use the distance formula to find the distance between two points that are on opposite sides of the rectangle. For example, you can use the distance formula to find the length of the rectangle by finding the distance between the points \((x_1, y_1)\)and \((x_2, y_2)\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of two points on opposite sides of the rectangle.

For example, consider a rectangle with the following coordinates:

(1, 1); (1, 5); (5, 5); and (5, 1)

To find the length of this rectangle, you can use the distance formula to find the distance between the points (1, 1) and (1, 5). The distance formula is:

d =\(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

= \(\sqrt{(1 - 1)^2 + (5 - 1)^2}\)

=\(\sqrt{0 + 16}\)

= \(\sqrt{16}\)

= 4

Therefore, the length of the rectangle is 4 units.

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By using the fact that EHG and DHJ are vertical angles, we will reach the conclusion that the value of x is 10.

Here we know that angle DHJ measures 140°, and that angle is the vertical angle to EHG, so EHG also measures 140°.

By looking at the image, we can see that the measure of EHG is equal to the addition between the measures of FHG (which is a right angle, so it measures 90°) and EHF (which depends on x).

Then we can write the equation:

m∠EHG = m∠EHF + m∠FGH

Replacing the values we know we get:

140° = 90° + (5x)°

140° - 90 = (5x)°

50° = (5x)°

50°/5 = (x)° = 10°

We conclude that the value of x is 10

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The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

Given the following data: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min.

Its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

The pile is 10 ft high.

To determine how fast the height of the pile is increasing, we need to differentiate the formula for the volume of a cone with respect to time.

We know that the volume of a cone is given by: \(V = (1/3)πr²h\)

We are given that the base diameter and the height of the cone are always equal, so we can write: r = (d/2)and h = d

where d is the diameter of the base of the cone.

The volume of the cone is given by: V = (1/3)π(d/2)²d

Simplifying, we get:\(V = (1/12)πd³\)

Differentiating both sides with respect to time, we get:

dV/dt = (1/4)πd² (dd/dt)

We are given that dV/dt = 30 ft³/min, and we want to find dd/dt when h = 10 ft.

Substituting V = (1/3)π(10/2)²(10)

= (1/3)π(25)(10)

= (250/3)π and d = 10,

we get:

30 = (1/4)π(10²)(dd/dt)

Simplifying, we get:

dd/dt = 12/π

The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

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15- .08

16- 5.6

17- 7/100

18- 3 1/2

19- 2 4/100

The relation (1, 1)\(,\) (2, 2)\(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .

In a relation is the x coordinate repeats , then it cannot be called a function

In the question ,

the relations are given as

Part(A)

(1, 1), (2, 2)\(,\) (3, 3), (4, 4) \(,\)(5, 8)

we see that , the x coordinate means the Domain is 1 , 2, 3 ,4 , 5 .

and since no number is repeating , this relation can be called as a function  .

Part(B)

(2, 7), (6, 5), (4, 4)\(,\) (3, 3), (2, 1)

we see that  , the x coordinate means the Domain is 2 , 6, 4 ,3 , 2 .

and the number 2 is repeating , this relation cannot be called a function .

Part(C)

(9, -3), (9, 3), (4, -2) \(,\) (4, 2), (0, 0)

we see that  , the x coordinate means the Domain is 9 , 9, 4 ,4 , 0 .

and the number 9 and 4 are repeating ,this relation cannot be called a function .

Part(D)

(1, 0), (3, 0), (1, 1) \(,\)(3, 1), (1, 3)

we see that  , the x coordinate means the Domain is 1 , 3, 1 ,3 , 1 .

and the number 1 and 3 are repeating , this relation cannot be called a function .

Therefore , The relation (1, 1), (2, 2) \(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .

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Answer:

coefficient - 5

constant - 7

variable- y

Step-by-step explanation:

variables are letters

constants are added to variables and are only numbers

coefficients are numbers in front of variables.

Answer:

A. 5

B. 7

C. y

Step-by-step explanation:

hope this helps

Answer:

1. x=-283/60

2. x=21/4

3. x=43/4

4. x= -10

5. x= -16.1

Step-by-step explanation:

A percentage is a way to describe a part of a whole.  The most improbable simulation for this coin is heads are 9.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,

\(75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15\)

Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.

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Answer:

A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is

9 heads.

Step-by-step explanation:

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Let A = B U C, where B and C are well-ordered subsets of A. For any non-empty subset D of A, if D intersects B, the least element is in B; otherwise, it's in C. Thus, A is well-ordered.



To prove that A is well-ordered, we need to show that every non-empty subset of A has a least element.

Let's consider an arbitrary non-empty subset D of A. We need to show that D has a least element.

Since A = B U C, any element in D must either be in B or in C.

Case 1: D ∩ B ≠ ∅

In this case, D ∩ B is a non-empty subset of B. Since B is well-ordered, it has a least element, say b.

Now, we claim that b is the least element of D.

Proof:

Since b is the least element of B, it is less than or equal to every element in B. Since B is a subset of A, it follows that b is less than or equal to every element in A.

Next, let's consider any element d in D. Since d is in D and D ∩ B ≠ ∅, it must be in D ∩ B. Therefore, d is also in B. Since b is the least element of B, we have b ≤ d.Thus, b is less than or equal to every element in D. Therefore, b is the least element of D.

Case 2: D ∩ B = ∅

In this case, all the elements of D must be in C. Since C is well-ordered, it has a least element, say c.

We claim that c is the least element of D.

Proof:

Since c is the least element of C, it is less than or equal to every element in C. Since C is a subset of A, it follows that c is less than or equal to every element in A.

Next, let's consider any element d in D. Since d is in D and D ∩ B = ∅, it must be in C. Therefore, d is also in C. Since c is the least element of C, we have c ≤ d.Thus, c is less than or equal to every element in D. Therefore, c is the least element of D.

In both cases, we have shown that D has a least element. Since D was an arbitrary non-empty subset of A, we can conclude that A is well-ordered.

Therefore, if A = B U C, and B and C are well-ordered subsets of A, then A is also well-ordered.

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It is proved that 1) AB = AC, 2) angle B = angle C fo the given triangles.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Here in Delta ADB and Delta ADC.

i) Three pair of equal parts are:

AD = AD ( common side )

BD = CD ( as d is the mid point of BC)

AB = AC (given in the question)

ii) Now,

by SSS Concurrency rule,

Delta ADB\cong \Delta ADC

iii) As both triangles are congruent to each other we can compare them and say

angle B = angle C.

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Complete question:

In figure AB=AC and D is the mid point of BC state the 3 pairs of equal parts in

Triangle ADB and triangle ADC

is ADB= ADC? give reason

is <B = <C? why?

PLEASE ANSWERRR ASAP​

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

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

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

The coordinates of \(P\) are \((0,k)\).

1. \(OQ=QR=\sqrt{h^2+k^2}\) (distance formula)

2. \(PQ=QS=h\) (distance formula)

3. \(\overline{OQ} \cong \overline{QR}\), \(\overline{PQ} \cong \overline{QS}\) (definition of congruency)

4. \(\angle OQP \cong \angle SQR\) (vertical angles)

5. \(\triangle OPQ \cong \triangle RSQ\) (SAS)

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

5/6

Step-by-step explanation:

The equation for slope is

(difference in y) / (difference in x)

So:

6-1/10-4

5/6

So the slope is 5/6

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

B

Step-by-step explanation:

rate of function A: 2 (coefficient for x)

rate of function B: 2, because an increment of 1 in x (e.g. 3 to 4) yields increment of 2 in y (3 to 5)

Answer:

Step-by-step explanation:

To find the amount of sales in the clothing department, we need to calculate 28% of the total sales.

Total sales: 20,000,000.00 Pesos

Amount of sales in the clothing department:

Sales = 28% of total sales

Sales = 28/100 * 20,000,000.00

Sales = 0.28 * 20,000,000.00

Sales = 5,600,000.00 Pesos

Therefore, the amount of sales in the clothing department is 5,600,000.00 Pesos.

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

Answer:

Distributive PropertyT

Step-by-step explanation:

This is a multiplication. The 6 outside the parenthesis is multiplied times BOTH numbers inside the parenthesis. 6×7 AND 6×2.25. That's how you get 42 and 13.5

This is one property that you really do need to know it's name and how to do it. It literally never goes away your entire math career, like all of high school and through, well until you're done with math in college.

The property represented by the equation is the Distributive Property. The Distributive Property states that when multiplying a number by the sum of two or more numbers, you can multiply each number separately and then add the results.

The property represented by the equation is the Distributive Property.

The Distributive Property states that when multiplying a number by the sum of two or more numbers, you can multiply each number separately and then add the results. In this equation, 6 is being multiplied by the sum of 7 and 2.25, and the same is being done on the other side of the equation with 42 and 13.5.

So, using the Distributive Property, we can rewrite the equation as:

6 * 7 + 6 * 2.25 = 42 + 13.5

42 + 13.5 = 42 + 13.5

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Answer:

4080 cm³

Step-by-step explanation:

Figure is of a cuboid

Given length (l) = 30cm

breadth (b) = 17cm

height (h) = 8cm

Volume of cuboid = l.b.h

= 30 × 17 × 8

= 4080 cm³