Why do you carry the 5 to the tenths column? (on line 2)

Convert \(\frac{5}{6}\) to a recurring decimal.
Divide 5 by 6.
5 divided by 6 is 0, remainder 5, so carry the 5 to the tenths column.
50 divided by 6 is 8, remainder 2.
20 divided by 6 is 3 remainder 2.
Because the remainder is 2 again, the digit 3 is going to recur:

Step-by-step explanation:

Here :-

\(\begin{gathered}\end{gathered}\)

Let the cost price of one ball is ₹1. So ;-

↝ Here the selling price of 25 balls is equal to the cost of 15 balls. It means C.P of 15 balls = S.P of 25 balls. So, the selling price of 25 balls is ₹15.

\(\begin{gathered}\end{gathered}\)

Firstly, finding the loss :-

\({\dashrightarrow{\sf{Loss = Cost \: Price - Selling \: Price}}}\)

\({\dashrightarrow{\sf{Loss = 25 - 15}}}\)

\({\dashrightarrow{\sf{\underline{\red{Loss =Rs.10}}}}}\)

∴ The loss is Rs.10.

\(\begin{gathered}\end{gathered}\)

Now, finding the loss percentage :-

\({\dashrightarrow{\sf{Loss\: \%= \dfrac{Loss }{Cost \: Price} \times 100}}}\)

\({\dashrightarrow{\sf{Loss\: \%= \dfrac{10 }{25} \times 100}}}\)

\({\dashrightarrow{\sf{Loss\: \%= \dfrac{10 \times 100 }{25}}}}\)

\({\dashrightarrow{\sf{Loss\: \%= \dfrac{1000 }{25}}}}\)

\({\dashrightarrow{\sf{Loss\: \%=\cancel{\dfrac{1000 }{25}}}}}\)

\({\dashrightarrow{\sf{\underline{\red{Loss\: \%=40 \: \%}}}}}\)

∴ The loss percent is 40%.

\(\underline{\rule{200pt}{2.5pt}}\)

Answer:

f(6) = \(\frac{5}{22}\)

Step-by-step explanation:

To evaluate f(6) substitute x = 6 into f(x), that is

f(6) = \(\frac{5}{4(6)-2}\) = \(\frac{5}{24-2}\) = \(\frac{5}{22}\)

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

Graph fourth represents a function with direct variation and the equation of the graph will be y = kx option (D) is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The graph is shown in the pictures

As we know,

The proportional relationship can be defined as:

y ∝ x

y = kx

k is the constant of proportionality:

y = kx is the equation of the line which passes through the origin.

Graph four passes through origin.

Thus, graph fourth represents a function with direct variation and the equation of the graph will be y = kx option (D) is correct.

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This is the simplified form of the expression.

2x^2 + 4x - 9y^2 - 4y

Simplifying:

3x^2 + 2y^2 - x^2 + 4x - 5y^2 - 4y

The process of simplifying an expression involves combining like terms and eliminating any unnecessary terms. In the given expression, we have multiple terms that have the same variable and exponent, these are called like terms. Like terms can be combined by adding or subtracting their coefficients.

In this case, we have 3x^2 and -x^2, the x^2 terms have the same exponent and variable so they can be added together by combining their coefficients (3-1) = 2x^2.

3x^2 - x^2 + 4x - 5y^2 - 4y + 2y^2

Similarly, we have -5y^2 and 2y^2, the y^2 terms have the same exponent and variable so they can be added together by combining their coefficients (-5+2) = -3y^2.

The x terms and y terms are separated and not interacting with each other, so we can't combine them. Finally, we have -4y and 4x, they are not like terms and can't be combined.

So, we have 2x^2 + 4x - 3y^2 - 4y as the simplified form of the expression.

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Answer:

$3,750.00

Step-by-step explanation:

3,000.00×25%=750.00

3,000.00+750.00=3,750.00

Answer:

D

Step-by-step explanation:

a p e x

The explicit rule of the sequence is (d) \(a_n = 8-6 (n -1)\)

The sequence is given as:

a1 = 8

\(a_n = a_{n-1} - 6\)

Set n = 2

\(a_2 = a_{1} - 6\)

This gives

a2 = 8 - 6

a2 = 2

Calculate the common difference (d)

d = a2 - a1

This gives

d = 2 - 8

Evaluate

a = -6

The explicit formula is then calculated as:

\(a_n = a_1 + (n -1)d\)

This gives

\(a_n = 8-6 (n -1)\)

Expand

\(a_n = 8-6n +6\)

Evaluate the like terms

\(a_n = 14-6n\)

Hence, the explicit rule of the sequence is (d) \(a_n = 8-6 (n -1)\)

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Answer:

30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

Step-by-step explanation:

Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.

According to the question, 30% solution and 70% solution are mixed and so, we get

\(0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)\)

Also, sum of the final solution should be 60 liters only so, we get

\(x+y=60----(2)\)

Solving equations (1) and (2), we get

\(x=30 liters\\ y=30 liters\)

Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

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Answer:

42,394

Step-by-step explanation:

It is simple multiplication. :)

517 * 82 = 42394

Answer:

y = - \(\frac{1}{3}\) x + \(\frac{8}{3}\)

Step-by-step explanation:

the perpendicular bisector of AB passes through the midpoint of AB at right angles.

find the midpoint using the midpoint formula

with A (- 2, 0 ) and B (0, 6 )

midpoint = ( \(\frac{-2+0}{2}\) , \(\frac{0+6}{2}\) ) = ( \(\frac{-2}{2}\) , \(\frac{6}{2}\) ) = (- 1, 3 )

find the gradient m of AB using the gradient formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (0, 6 )

m = \(\frac{6-0}{0-(-2)}\) = \(\frac{6}{0+2}\) = \(\frac{6}{2}\) = 3

given a line with gradient m then the gradient of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\)

the equation of a line in gradient- slope form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 1, 3 ) into the partial equation

3 = \(\frac{1}{3}\) + c ⇒ c = 3 - \(\frac{1}{3}\) = \(\frac{8}{3}\)

y = - \(\frac{1}{3}\) x + \(\frac{8}{3}\) ← equation of perpendicular bisector

Answer: 5,840,000

Step-by-step explanation:

96/24=4

365,000x2x2x2x2=5,840,000
or
365,000 x 2^4=5,840,000

An approximate of 4 gaps will be there in one hour that are longer than 6 seconds at the flow rate of 1800 vph.

The flow rate is given to be 1800 vph.

This means that 1800 vehicles pass through the lane every hour.

To determine the number of gaps that are longer than 6 seconds, we need to calculate the time it takes for one vehicle to pass and then subtract it from 60 minutes.

Assuming that the vehicle length is negligible, the gap between two consecutive vehicles is equal to the time taken by one vehicle to pass by completely plus the time taken by the following vehicle to reach the starting position of the preceding vehicle.

Let's say, for example, that the time it takes for one vehicle to pass is 2 seconds.

The gap between two consecutive vehicles would then be 2 + 2 = 4 seconds, meaning that there would be 60/4 = 15 gaps in one minute, or 900 gaps in one hour.  

If we assume that the time it takes for one vehicle to pass is 2 seconds, the total time taken for a vehicle to cover the distance would be 1/1800*60*60= 2 sec.

Hence, 60/2 = 30 vehicles would pass through the lane in one minute.1800 vehicles/60 minutes = 30 vehicles/min

Now, we know that the gap between two consecutive vehicles is 2 seconds, so we can calculate the number of vehicles that pass through the lane in one minute.

30 vehicles/min x 2 sec/vehicle = 60 seconds/min

We can see that there are 60 seconds in a minute.

Thus, the total time taken for a vehicle to pass is 60/1800 = 0.033 minutes.

So, the total number of gaps that are longer than 6 seconds would be:

Number of minutes in an hour = 60.

Number of vehicles that pass through the lane in an hour = 1800.

Time taken for one vehicle to pass = 0.033 minutes.

Therefore, number of gaps = 60 - (1800 x 0.033) / 6 = 4 gaps.

An approximate of 4 gaps will be there in one hour that are longer than 6 seconds.

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Answer:

5x^2 + 17xy - 12y^2

5x^2 + 5xy + 12xy - 12y^2

5x (x - y ) + 12 y ( x - y )

(5x + 12y ) (x-y).

Step-by-step explanation:

Answer:

1. 78, 51, 51

or

2. 78, 78, 24

Step-by-step explanation:

180-78=102

102/2=51

180-78-78=24

Answer:

0.6293

Step-by-step explanation:

The \(z\) score for $24000 is \(\frac{24000-25000}{3000} \approx 0.333\).

\(P(z<0.333)=0.6293\)

Answer:

5

Step-by-step explanation:

25% of 20 is 5

Answer:

v = -1

Step-by-step explanation:

First, you will need to solve it step-by-step:

(4v − 9)(1 + v) = 0

Next, you need to simplify both sides of the equation:

4v(2) − 5v − 9 = 0

Now, factor the left side of equation:

(4v − 9)(v + 1) = 0

The last thing you need to do is to set all of the factors to equal to zero:

4v − 9 = 0 or v + 1 = 0

So, that means that you answer:

v=9/4 or in your case, v = −1

Answer:

I just did it this is the right answer.

It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

Step-by-step explanation:

The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The first column, Months Passed, has the entries, 0, 3, 4, 8.

And, The second column, Total Houses Built, has the entries,

0, 33, 46, 108.

Hence, Rate of change are,

⇒ (33 - 0) / (3 - 0) = 11

⇒ (46 - 33) / (4 - 3) = 13

Thus, It does not show a constant rate of change.

Hence, The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

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Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Won't tell ur mum.....

Hope it helps!

mark me as the brainliest.....

Follow me! :)

Answer:

Hewo There!!!

______________________

63.... Um dear.... should I be worried....?

______________________

"Change is inevitable. Change will always happen, but you have to apply direction to change, and that's when it's progress." — Doug Baldwin

______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Answer:

C

Step-by-step explanation:

Here, we want to state the interval that has the highest frequency.

What we are asked here is the range of values where we have the the most common salary.

For 0-10, we have 1 ( Estonia)

For 11-20, we have 1 (Israel)

For 21-30 , we have 0

For 31-40, we have 1 ( Greece)

For 41-50, we have 5

For 51-60, we have 3

For 61-70, we have 1 (Luxembourg)

So 41-50 is the class with the highest frequency

Answer:

2.5

Step-by-step explanation:

Area of A is 50 cm ^2

length of A is 10

Area of B is 50/2 cm^2 or 25cm^2

area for all rectangles is length * width

so area of B divided by length of b is width of b

25/10 = 2.5

width of b is 2.5

Answer:

10,000>3,200 (inequality).......3,200+6,800=10,000

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The  dilation of this triangle with respect to the origin by a factor of 1/3 is  (0,0),(1,0),(1,1), the correct option is A

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

Given;

The coordinates, (0,0),(3,0),(3,3)

Scale factor of 1/3

Now

The coordinates;

(0,0),(1,0),(1,1)

Therefore, by dilation the answer will be  (0,0),(1,0),(1,1).

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Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8

2.) DIvide 6.4 on both sides making it X=7

The distribution suggests that the ages at inauguration for US presidents are relatively consistent, with a mode around the mid-50s.

4 | 2
5 | 146555554445555554455
6 | 012469
(b) Based on the plot from part (a), describe the distribution of ages at inauguration for the first 44 United States presidents.
The stem-and-leaf plot shows that the ages at inauguration of the first 44 United States presidents range from 42 to 69 years old. The most frequent age at inauguration was 54, which occurred 6 times, followed by 57 and 55 which occurred 5 times each. The distribution of ages appears to be roughly symmetric, with a slightly longer tail on the right side. There are no outliers or extreme values in the data. Overall, the distribution suggests that the ages at inauguration for US presidents are relatively consistent, with a mode around the mid-50s.

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Answer:

Y-intercept is 0

Step-by-step explanation:

The line crosses at 0,0

x intercept is 0

Y intercept is 0

To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

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