What is the solution to the equation below? 4(3x + 5) = 5(x + 4) + 7x A infinite solutions OB no solution 0 со D 3​

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The polynomial expression for the profit earned from producing and selling d dog will be -0.00003d² + 10.6d – 10500. And the value of the polynomial for d = 30,000 will be $280,500.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

A market analyst has projected that the cost of producing d dog leashes will be given by the polynomial 10,500 + 3.9d.

The revenue generated from the sale of d dog leashes will be given by the polynomial d(14.5 – 0.00003d).

Then the profit is given as

P = R – PC

Where P is profit, R is revenue, and PC is the production cost.

P = (14.5d – 0.00003d²) – 3.9d – 10500

P = -0.00003d² + 10.6d – 10500

If d = 30,000, then the profit will be

P = -0.00003(30000)² + 10.6 × 30000 – 10500

P = $280,500

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Answer:

31.75 cm is equal to 12.5 in

Step-by-step explanation:

Answer: 4x + y = 10 is -y+10/4                    X-5y=13 is x=5y+13

Step-by-step explanation:

The value of x and y in the equations given are -2 and 3 respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,

4x+y = 10.......(i)

x-5y = 13

x = 13+5y......(ii)

Substituting eq(ii) in eq(i)

4(13+5y)+y = 10

52+20y+y = 10

21y = 10-52

21y = -42

y = -2

Put y = -2 in equation (ii),

x = 13+5(-2)

x = 13-10

x = 3

Hence, The value of x and y in the equations given are -2 and 3 respectively

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Answer:

4<sqrt24<5

Step-by-step explanation:

sqrt 16=4

sqrt 25= 5

16<24<25

sqrt 16< sqrt 24 < sqrt 25

Therefore 4< sqrt24 < 5

Answer:

Step-by-step explanation:

Sides of the picture added margin:

Solution:

Note. The other root is ignored as negative.

The probability that the employee will arrive between 8:10 a.m. and 8:15

a.m. is 0.125 or 12.5% when rounded to two decimal places.

The employee can arrive at any time between 8:00 a.m. and 8:40 a.m, and

we are given that each of these times is equally likely.

The total time interval is 40 minutes (from 8:00 a.m. to 8:40 a.m.), and the

interval between 8:10 a.m. and 8:15 a.m. is 5 minutes.

Therefore, the probability that the employee arrives between 8:10 a.m. and

8:15 a.m. is equal to the ratio of the time interval between 8:10 a.m. and

8:15 a.m. to the total time interval between 8:00 a.m. and 8:40 a.m.:

P(arrival between 8:10 a.m. and 8:15 a.m.) = (5 minutes) / (40 minutes) = 1/8

So the probability that the employee will arrive between 8:10 a.m. and 8:15

a.m. is 0.125 or 12.5% when rounded to two decimal places.

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Answer:

23 Points

Explanation:  

The answer you are looking for is 23 points per game.

To find this answer, you simply divide 138 by 6.

I hope this helps!

The library is 5 kilometres far from the community pool.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides. Look at the triangle ABC, where BC² = AB² + AC² is present. The base is represented by AB, the altitude by AC, and the hypotenuse by BC in this equation.

The distance between the courthouse and the library is 12 kilometres and the distance between the courthouse and the city pool is 13 kilometres. Let the distance between the library and the community pool be x and it can be observed that the Courthouse, library and Community hall form a sort of right-angled triangle

So, using Pythagoras theorem, we get

\(13^2=x^2+12^2\\x^2=169-144\\x^2=25\\x=5 km\)

So, the library is 5 kilometres far from the community pool.

Therefore, the distance between the library and the community pool is 5 kilometres.

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The given function, f(x) = x * ln(x), is a product of x and the natural logarithm of x (ln(x)). It is defined for x > 0 since the natural logarithm is not defined for negative values or zero.

Let us analyze the given function:
1. Domain: The domain of f(x) = x * ln(x) is all x > 0 because the natural logarithm is only defined for positive values of x.

2. Range: The range of the function is all real numbers (negative and positive) because the function can have negative values for 0 < x < 1, and positive values for x > 1.

3. Monotonicity: The function is monotonically increasing for x > 1 since both x and ln(x) increase as x increases. For 0 < x < 1, the function is decreasing since x increases and ln(x) decreases.

In summary, the function f(x) = x * ln(x) is defined for x > 0, has a range of all real numbers, and is monotonically decreasing for 0 < x < 1 and monotonically increasing for x > 1.

The correct question should be :

Define the function f(x) = x * ln(x).

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If the union of three subspaces of V is a subspace, then one of the subspaces must contain the other two. In other words, if V is a vector space and U, W, and X are subspaces of V, then U ∪ W ∪ X is a subspace of V if and only if one of U, W, and X contains the other two.

Let's suppose that V is a vector space and U, W, and X are subspaces of V such that U ∪ W ∪ X is a subspace of V. This implies that U ∪ W ∪ X contains the zero vector since it is a subspace of V.

Then, the proof will take three parts:Part 1: WLOG, assume that U contains the zero vector. This means that W and X are subspaces of U ∪ W ∪ X.

Part 2: Show that either W is a subset of X or X is a subset of W.Part 3: Since U is a subspace of U ∪ W ∪ X, it follows that W is a subset of U or X is a subset of U. Without loss of generality, assume that W is a subset of U. Then, X is also a subset of U because U ∪ W ∪ X is a subspace of V.

Hence, the proof is complete.

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The second equation of the system is y = 3x - 1. The solution of the system is (2, 5).

To find the second equation of the system, we can use the given table:

x y

-2 -7

0 -1

2 5

4 11

Let's find the pattern in the values of x and y. The relationship between x and y seems to be linear. To find the equation, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

We can calculate the slope (m) using the formula:

m = (change in y) / (change in x)

For the points (0, -1) and (2, 5):

m = (5 - (-1)) / (2 - 0) = 6 / 2 = 3

So, the slope (m) is 3.

Now, let's substitute the slope and one of the points (0, -1) into the slope-intercept form:

y = mx + b

-1 = 3(0) + b

-1 = b

Therefore, the equation of the second line is y = 3x - 1.

To find the solution of the system, we need to find the values of x and y that satisfy both equations simultaneously. We can solve this by setting the two equations equal to each other:

x + 3 = 3x - 1

Subtracting x from both sides:

3 = 2x - 1

Adding 1 to both sides:

4 = 2x

Dividing by 2:

x = 2

Now, substitute this value of x into either equation:

y = x + 3

y = 2 + 3

y = 5

Therefore, the solution of the system is (2, 5).

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Answer:

Rs. 924000.

Step-by-step explanation:

Cost of  house = 765000

Additional money spent on it = 115000

Total cost incurred by Ravi = 765000 + 115000 = 880000

Gain  = 5% of total cost

gain in Rs = 5/100 * 880000 = Rs. 44000

Total selling price of house = total cost incurred + profit = 880000+ 44000

Total selling price of house = Rs. 924000

Thus, Ravi got  Rs. 924000.

Answer:

-3/2

Step-by-step explanation:

-5 = -10/2

-10/2 < -3/2

Answer:

-5 is bigger

It is bigger because if you would convert it to a whole number it would be -1.5

A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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The earthquake in the ocean was about 15.85 times more intense than the one in the city.

The Richter scale is a logarithmic scale used to measure the intensity of earthquakes. Each increase of one on the Richter scale represents a tenfold increase in the amplitude of the seismic waves. Therefore, to find out how many times more intense the earthquake in the ocean was compared to the one in the city, we need to calculate the difference in their Richter scale readings:

8.1 - 6.9 = 1.2

Since each increase of one on the Richter scale represents a tenfold increase in the amplitude of the seismic waves, a difference of 1.2 on the Richter scale means that the earthquake in the ocean was:

\(10^{(1.2)} = 15.85\)

times more intense than the one in the city.

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The correct situation which could describe Drew’s plans for the dog pen is,

A) Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.  

Here,

The first entry in the table is 7 ft for the width.  

Since the area is 77 sq ft,

Hence, this means the length must be 77/7 = 11.  

So, the perimeter would be,

⇒ 7 × 2+11 × 2 = 14+22 = 36.

The second entry in the table is 8 ft for the width.  

The length would then be 80/8 = 10.  

This means the perimeter would be;

⇒ 8×2+10×2 = 16+20 = 36.

The third entry in the table is 9 ft for the width.  

The length would then be 81/9 = 9.  

This means the perimeter would be;

⇒ 9×2+9×2 = 18+18 = 36.

The fourth entry in the table is 10 ft for the width.

The length would then be 80/10 = 8.  

This means the perimeter would be ;

⇒ 10×2+8×2 = 20+16 = 36.

The last entry in the table is 11 ft for the width.

The length would then be 77/11 = 7.  

This means the perimeter would be;

⇒ 11×2+7×2 = 22+14 = 36.

So, This means Drew must have 36 feet of fence and wants to find the possible areas.

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Answer:

2 to the 4th power is 16, but I don't know what B is?

Step-by-step explanation:

The combination of  number of ways of groups of 3 customers are  19600 .

What is permutation and combination?

The number of store customer is N = 50

The number of customer that receive a special gift is r = 3

The expression for the number of possible ways to choose 3 customers is

                   = ⁿCr

                   = ⁵⁰C₃

                    = 50 * 49 * 48/3 * 2 * 1

                    = 19600

Thus, the number of ways of groups of 3 customers are  19600.

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Answer:

x = 14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

at the origin, move it 3 units to the right, then raise the unit up by 8 units. Then the origin would be (0,4)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

8: 9, 10, 11, 12, 1, 2, 3, 4, 5, 6

Answer:

Number of free throws = 155,

Number of two-points field goals= 168

Number of two-points field goals= 124

Step-by-step explanation:

Let x,y, and z be the numbers of free throws, two-point field goals and three-point field goals she made.

As she scored a total of 863 points, so

x+2y+3z=863...(i)

As the number of​ two-point field goals  that Rebecca made was 80 less than double the number of​ three-point field goals she made, so

2z-y=80

Or y=2z-80...(ii)

As the number of free throws​ (each worth one​ point) she made was 13 less than the number of​ two-point field goals she made, so

y-x=13

-x= 13-y

-x= 13-(2z-80)

-x= 93-2z

x=2z-93...(iii)

Now, put the values from equation (ii) and (iii) to equation (i), we have

(2z-93)+2(2z-80)+3z=863

2z-93+4z-160+3z=863

9z=863+93+160=1116

z=1116/9=124

From equation (ii)

y=2x124-80=168

and from equation (iii)

x=2x124-93=155.

Hence, the number of free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Smith made during the 2006 regular season are 155, 168, and 124 respectively.

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

Rate of change of Panting A over a year period

Rate of change of Panting B over a year period

Painting B increases more quickly

Rate of change of Panting A over a year period, using the function f(x)=30,000(1.068)^x

at x = 0, f(x) = 30,000

at x = 1, f(x) = 32,040

rate of change = (30 000 - 32 000) / (0 - 1) = -2000 / -1 = 2000

Rate of change of painting B over a year period

= (25 - 27.5) * 1000 / (0 - 1)

= -2.5 * 1000 / -1

= 2500

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The measure of the complement of angle is 45 degrees.

Let's call the measure of the angle "x". The complement of the angle is defined as 90 degrees minus the measure of the angle, so the complement of the angle is 90 - x.

If the measure of the angle is less than its complement, then we can write the following inequality:

x < 90 - x

Now we can isolate x by subtracting x from both sides:

0 < 90 - 2x

And then dividing both sides by -2:

0 > -45 + x

Finally, subtracting x from both sides:

-x > -45

So, we have:

x < 45

So, the complement of the angle is 90 - x, which is greater than 90 - 45 = 45 degrees.

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The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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Step-by-step explanation:

10xy

or x=10

hope it helps