What is 3/4 divided by 1/6

Answer:

(30.1, 185.6)

Step-by-step explanation:

p = -4q + 306

P = 6q +5

from here, all we need to do is solve the system. Since the value of p is already isolated for us, we can just plug this into the first equation

(6q + 5) = -4q + 306

Add like terms

10 q + 5 = 306

Subtract:

10 q = 301

Q = 30.1

We can them plug this into the second equation:

P = 6(30.1) + 5

P = 180.6 + 5

P = 185.6

So together, we have (30.1, 185.6)

thanks, and please give brainliest!

Answer:

(185.6, 30.1)

Step-by-step explanation:

Set the equations equal to each other and solve for q

-4q + 306 = 6q + 5  add 4q to both sides

4q - 4q + 306 = 6q + 4q + 5

306 = 10q + 5  Subtract 5 from both sides

306 - 5  = 10q + 5 - 5

301 = 10q  Divide both sides by 10

30.1 =  q

Substitute 30.1 for q in either of the two original equations.  It does not matter which one, they will both work to solve for p.

p = 6q + 5

p = 6(30.1) + 5

p = 180.6 + 5

p = 185.6

Helping in the name of Jesus.

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Option A is correct. The required equation that could be used to find this number is

x + 6 = 2x +8.

Let the unknown number be 'x'

Since sum is also known as addition, the sum of the number and 6 is expressed as x + 6 ... 1

Twice the unknown number is expressed as 2x

8 more then twice the number is expressed as 2x + 8...... 2 (Note that "more than the number" means addition)

To get the required equation that could be used to find x, we will equate 1 and 2 to have:

x + 6 = 2x + 8

Hence the required equation that could be used to find this number is x + 6 = 2x +8.

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Please find attached the completed equation puzzle with the number 8 representing a, created with MS Word.

An equation is an expression of equivalence of the two expressions, quantities and or numbers, which are joined by the '=' sign.

The puzzle can be completed using both variables and values that satisfies equations created in the puzzle as follows;

Let a = 8, starting from top left of the puzzle, we get;

3·a + 4 = 3 × 8 + 4 = 28

The vertical column in the top middle with 28 at the top, indicates that we get the following equation;

28 + 4·a = 28 + 4 × 8 = 60

The row that crosses the middle of the vertical row above indicates that we get;

4·a + 4·a - 3·a = 5·a

The value, 3·a, obtained above is evaluated as; 3·a = 3 × 8 = 24

The vertical column with 6·a is evaluated as follows;

4·a + x = 6·a + a = 7·a

x = 7·a - 4·a = 3·a

x = 3·a

Therefore, we get; 4·a + 3·a = 6·a + a = 7·a

The values left blank are evaluated as follows;

a + 6·a - 3·a = 4·a

2·a + 4·a = 6·a

a + 6·a = 7·a

60 - 2·a = y - 5·a

y = 60 - 2·a + 5·a = 60 + 3·a = 60 + 3 × 8 = 84

84 - 5·a = 84 - 5 × 8 = 44

2·a + 4·a = 6·a

a + 6·a = 7·a

Please find attached the values obtained from the above evaluation of the puzzle, inputed in a similar puzzle created with MS Word.

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The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

2 and 2/3

Step-by-step explanation:

i used my math skillz

To solve the question, we would be making use of the compound interest formula. This is given as;

A=final amount = $20,000

P=initial principal balance

r=interest rate =3%

n=number of times interest applied per time period

t=number of time periods elapsed = 6 years

Part A

If the interest is compounded annually, n =1

Therefore;

Answer: The minimum amount would be $16749.69

Part B

If the interest is compounded monthly, n =12

Answer: The minimum amount would be $16709.16

Part C

If the interest is compounded monthly, n =365

Answer: The minimum amount would be $16705.53

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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Answer:

\(10-4\sqrt5\)

Step-by-step explanation:

\(x=\sqrt{5} +\sqrt{4}\)

Simplify square root 4 to 2:

\(x=2+\sqrt5\)

Now we can evaluate \(\frac{x^2+1}{x^2}\). First we can simplify this fraction to \(1 + \frac{1}{x^2}\) and then plug x in.

Plug x in: \(1+\frac{1}{(2+\sqrt5)^2}\). Using \((x+y)^2=x^2+2xy+y^2\), we can evaluate \((2+\sqrt5)^2=4+4\sqrt5+5=9+4\sqrt5\).

Now we can rationalize the denominator of the fraction by multiplying by the conjugate term:

\(\frac{1}{9+4\sqrt5} \cdot \frac{9-4\sqrt5}{9-4\sqrt5} = \frac{9-4\sqrt5}{81-80}=\frac{9-4\sqrt5}{1}\)

Now we can find the answer:\(1 + 9-4\sqrt5=10-4\sqrt5\)

Answer:

1672.50 = 37.75x + 1068.50

x = 16

There were 16 players brought to the tournament.

Step-by-step explanation:

y = mx + b

y= the total cost

m = cost of each meal

x = the number of players

b = cost of the bus

Plug in what you know and solve for x

1672.50 =  37.75x + 1068.50  Subtract 1068.50 from both sides.

604 = 37.75x  Divide both sides by 37.75

16 = x

Equation: 1068.50 + 37.75x =1,672.50

Answer: X= 16

If 1,672.50 is our total it will go behind the equal sign. 37.75x and 1068.50 must be added together to help us receive our total.

Our written equation should look like this

1068.50 + 37.75x =1,672.50

X is the number of players on the team.To find out we must first subtract the amount of money spent on the bus, from the total amount spent.

1,672.50-1068.50 is 604. This means our equation now looks like this

37.75x=604. The next and final step is to divide 37.75 into 604.

604/ 37.75 is 16. Which means that there are 16 players on the team.

I hope this helps & Good luck.

Using linear functions, it is found that:

A. The costs will be the same when 250 shirts are bought.

B. The Tees-4-U Company would charge them less.

C. They are saving $350 by going with the more economical company.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the cost functions in the context of this problem, we have that:

Hence the functions for the cost of buying x shirts are given as follows:

The costs will be the same when:

C(x) = T(x)

Hence:

6.5x = 250 + 5.5x

x = 250

For item b, the costs are given as follows:

The amount saved in item c is:

3900 - 3550 = 350.

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Answer:

2827.4

Step-by-step explanation:

V = πr2h this is the equation that can be used for these problems.

V= π(10)2(9)

the radius is 10 because the diameter is 20. Divide the given diameter by 2 to find the radius.

Answer:

3 blocks east

5 blocks south

Step-by-step explanation:

Hope it helps

Answer:

3 and 5

Step-by-step explanation:

Answer:

x = 23.78 cm to the nearest hundredth

Step-by-step explanation:

In a right-angled triangle:

The opposite "O" is the opposite side to the angle

The adjacent  side "A" is adjacent side to the angle

The hypotenuse "H" is the long side that joins the 2 legs

For this triangle, we have:

angle = 18°

adjacent (A) = x

hypotensue (H) = 25

So we can use the trig formula:  \(cos(\theta)=\frac{A}{H}\)

Therefore,  \(cos(18)=\frac{x}{25}\)

Multiply both sides by 25:     25 cos(18) = x

Therefore, x = 23.77841291...

So x = 23.78 cm to the nearest hundredth

The probabilities are given as follows:

a) Hardware product given that it is from company B: (50 - y)/50.

b) Hardware product given that it is from company A: 3/7.

c) The probability in part a is greater than in part B for y < 8.57.

A probability is calculated as the division of the number of desired outcomes in the context of the experiment by the number of total outcomes in the context of the experiment.

For item a, the outcomes are given as follows:

Hence the probability is of:

p = (50 - y)/50.

For item b, the outcomes are given as follows:

Hence the probability is of:

30/70 = 3/7.

The inequality for item c is given as follows:

(50 - y)/50 > 3/7

Applying cross multiplication, the solution is obtained as follows:

7(50 - y) > 3(50)

210 - 7y > 150

-7y > -60

7y < 60

y < 60/7

y < 8.57.

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Answer:

Step-by-step explanation:

Answer:

  4.5 kWh

Step-by-step explanation:

You want an estimate of the mean of the solar panel output represented by the given histogram.

The mean of the output values can be estimated as the weighted average of the middle of each interval, weighted by the area of the histogram in that interval.

The computation looks like ...

  \(\dfrac{.5\times1+1.5\times1+2.5\times1+3.5\times4+4.5\times4+5.5\times3+6.5\times 2+7.5\times2}{1+1+1+4+4+3+2+2}\\\\\\=\dfrac{81}{18}=4.5\)

The mean daily energy output of the solar panel is about 4.5 kWh.

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The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:You see if you want these answers your gonna need to give us more than 5 points for a whole paper of homework. Lma*

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Step-by-step explanation:

From the give information: A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 275 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status         Diseased         Not Diseased      Total

Vaccinated                           53                    17                      70

Not Vaccinated                    62                    143                   205

Total                                     115                     160                  275

In this study, we have two variables   ( Vaccination and diseases status ) The null and the alternative hypothesis can be stated as follows:

Null hypothesis: The two variables   ( Vaccination and diseases status ) are independent

Alternative hypothesis : The two variables   ( Vaccination and diseases status ) are dependent

The Chi-square test statistics can be computed as:

The Expected Values for the table can be calculated by using the formula:

\(E_i=\dfrac{row \ total \times column \ total}{grand \ total}\)

Vaccination Status         Diseased         Not Diseased      Total

Vaccinated                       29.273                 40.727              70

Not Vaccinated                85.727                 119.273             205

Total                                     115                     160                  275

\(Chi - Square \ X^2 = \dfrac{(O_i-E_i)^2}{E_i}\)

Vaccination Status         Diseased         Not Diseased      Total

Vaccinated                       19.232                13.823              33.055

Not Vaccinated                6.564                 45.573              52.137

Total                                  25.796               59.396             85.192

Therefore;

the Chi-Square Test Statistics = 85.192

For this study; we two rows and two columns

Therefore, the degree of freedom = (rows-1) × (columns-1)

the degree of freedom = (2 - 1) × (2 - 1)

the degree of freedom =  1 × 1

the degree of freedom =  1

Using the level of significance of ∝ = 0.05 and degree of freedom = 1 for the chi-square test

The p-value for the test statistics  = 0.00001

Decision rule: Since the P-value is lesser than the level of significance , therefore we reject the null hypothesis at the level of significance of 0.05

Conclusion:

We accept the alternative hypothesis and  conclude that the two variables

(Vaccination and diseases status ) are dependent  i.e the  vaccination and disease status are related

Answer:

d 0.0235

Step-by-step explanation:

We assume that the lifetime of the blenders follows a normal distribution, with mean of 36 months and standard deviation of 6 months.

We have to calculate the probability that the blenders have a lifetime lower than 24 months, and therefore apply the guarantee.

First, we calculate the z-score:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{24-36}{6}=\dfrac{-12}{6}=-2\)

Then, the probability that the blenders lifetime is 24 or less is:

\(P(X<24)=P(z<-2)=0.023\\\)

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

The answer is 16.067

Step-by-step explanation:

Brainliest if correct?

Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Given,

The measure of PQ is 24.

The measure of RQ is 17.

Required:

The measure of SR.

If a secant and tangent are drawn to a circle from the same external point, the product of length of the secant and its external segment equal the square of the length of the tangent segment.

Hence, the value of SR is 16.9