Choose Yes or No to tell whether the fraction and percent are equivalent.
40/1000 and 40%
6/5 and 120%
50/33 and 117%
1/8 and 12.5%

Let x be the amount of points awarded for a win, y the amount of points awarded for a draw and z the amount of points awarded for a loss.

If a teams wins 6 matches, then the number of points awarded for 6 win games would be

so, we will write an equation for each of the teams.

For the cardinals, they won 6 matches, 3 draws and 1 loss for a total of 40 points. So the equation would be

For the blue jays: They won 7 matches, 2 draws and 1 loss for a total of 44 points. So the equation would be

Finally, for the hawks, they had 4 wins, 4 draws and 2 losses for a total of 28 points. So we have the equation

we want to solve this equations to find the value of x.

We will start by taking the first equation

we will take this equation and subtract it from the second one. So we get

that means, we have the new equation

Now. We will take the first equation, multiply it by 2 and subtract it from the third equation. That is

if we divide both sides by -2 we get the equation

Now, let us add this two new equations that we got. That would be

then, if divide both sides by 5, we get

so the number of points awarded for a win is 6

Answer:

6x^3-38x^2+65x-21

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are multiple solutions.

If each section has n seats, the floor has 22,180-85n seats.

22,180/85 ≅ 260.9, so each section has at most 260 seats.

If each section has 260 seats, the floor has 22,180-85×260 = 80.

Answer:

\(l = \frac{P}{2} - w\)

Step-by-step explanation:

\(P= 2(l+w)\)

\(\frac{P}{2} = l +w\)

\(l = \frac{P}{2} - w\)

Answer:

The formula for the average temperature in the ball is \(\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}\). The limit of the average temperature for the ball does not exist.

Step-by-step explanation:

According to the statement, we have the following direct relationship:

\(T \propto \sqrt{r}\)

\(T = k\cdot \sqrt{r}\) (1)

Where:

\(T\) - Temperature, measured in degrees Celsius.

\(r\) - Distance from the center, measured in meters.

\(k\) - Proportionality constant, measured in degrees Celsius per meter.

Under the assumption that ball is a continuous entity, we find that average temperature in the ball (\(\bar T\)), measured in degrees Celsius, is represented by the following integral equation:

\(\bar T = \frac{1}{R}\cdot \int\limits^{R}_{0} {T(r)} \, dr\) (2)

By applying (1) in (2), we find that:

\(\bar T = \frac{k}{R}\cdot \int\limits^{R}_{0} {\sqrt{r}} \, dr\)

\(\bar T = \frac{2\cdot k}{3\cdot R}\cdot (R^{3/2})\)

\(\bar T = \frac{2\cdot k\cdot R^{1/2}}{3}\)

If the ball gets larger, then the limits associated to the average temperature diverges to the infinity as maximum exponent of the numerator of the rational function (\(n = \frac{1}{2}\)) is greater than the maximum exponent of the denominator (\(n = 0\)). Therefore, the limit of the average temperature for the ball does not exist.

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer: Increase

Step-by-step explanation:

A multiplier of 1 is equivalent to 100%. Above 1, you are increasing

Answer:

x= the second one I hope I helped

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

The given polynomial expression is 3x² + 3bx - 6x - 6b.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factors of given polynomial can be find using grouping method, that is

(3x² + 3bx) - 6x - 6b

=3x(x+b)-6(x+b)

=(x+b)(3x-6)

=3(x-2)(x+b)

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

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The area will be the area to the_____right of ___40.5___.

Answer:

2,3,6 is answer for this question

Answer:

Step-by-step explanation:

To solve this question we use ratio and proportion

If in 20 days they ride 3,653.6 km , then

in 1 day they will ride \( \frac{3653.6 \times 1}{20} \)

We have the final answer as

Hope this helps you

The number as decribed (four times a numbers less 10 is equal to 16) is; 14

Let the number in discuss be; x

According to the statement;

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Answer:

-7

Step-by-step explanation:

(a) The probability that O1 gets the Volvo is  3/10 .

(b) The probability that O2 or O5 will get the Volvo is 1/2  .

In the question ,

it is given that ,

the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort,  Lexus,  Nissan, the Taurus, and the Volvo .

From the given data , the table formed is shown below .

From the table , we can observe that ,

O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities

O2 will not drive the Taurus​ . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities

O3 will not drive the Lexus or Volvo​ . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities

O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities

O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .

The  20 possible arrangements for E,L,N,T,V are :

{ (O2, O1, O3, O4, O5),  (O2, O1, O3, O5, O4),  (O2, O1, O4, O3, O5),  

(O2, O5, O3, O1, O4),  (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),  

(O3, O1, O2, O4, O5),  (O3, O1, O2, O5, O4),  (O3, O1, O4, O5, O2),  

(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1),  (O3, O5, O2, O1, O4),  

(O3, O5, O2, O4, O1),  (O3, O5, O4, O1, O2),  (O4, O1, O2, O3, O5),

(O4, O1, O3, O5, O2),  (O4, O2, O3, O1, O5),  (O4, O2, O3, O5, O1),  

(O4, O5, O2, O3, O1),  (O4, O5, O3, O1, O2)  }

Part(a)  : The probability that O1 gets the Volvo is = 6/20 = 3/10 .

and

Part(b) :

Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .

= 4/20 + 6/20

= 10/20 = 1/2 .

Therefore , the required probability for (a)  is 3/10 and for (b) is 1/2  .

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Answer:

Jake has 11 hens

Step-by-step explanation:

It says in the question, all but 11 hens died. This means the rest died, but 11 are still alive.

Answer:

He has 11 hens.

Step-by-step explanation:

The volume of the log will be 30,70,760 m³.

Mathematically, we can write Archimedes principle as -

F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}

Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.

Since the log floats on water, the density of both the log and water is same.

So, we can write volume as -

Volume = 3080 x 997 Volume = 30,70,760 m³

Therefore, the volume of the log will be 30,70,760 m³.

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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}

Hi there!

a.

We can find the x-coordinate by deriving an expression for the line and arc, then setting the two equal.

We are given that the graph has the equation:
\(y = x - \frac{x^2}{120}\)

Differentiate to solve for the slope:
\(y' = 1 - \frac{x}{60}\)

This is the slope of the line at 'p'. We are given that the line passes through (-15, 0), so we can use the point-slope formula:

\(y - y_1 = m(x - x_1)\\\\y - 0 = (1 - \frac{x}{60})(x - (-15))\\\\y = (1 - \frac{x}{60})(x + 15)\)

Since this line intersects at 'p', we can set this equation along with the equation for the arc equal to each other to solve for 'x'.

\((1 - \frac{x}{60})(x + 15) = x - \frac{x^2}{120}\\\)

Solve using a graphing utility.

\(x = 30\)

b.

We can write an equation for line 'l' by solving for the slope at the 'p' value.

\(m = 1 - \frac{30}{60} = 1 - 0.5 = 0.5\)

Now, use the point-slope formula with this y-value and the x-axis intersection coordinates.

\(y - 0 = 0.5(x + 15)\\\\y = 0.5x + 7.5\)

c.

We can plug x = 60 into both function equations to find the distance.

For the arc:
\(f(60) = 60 - \frac{60^2}{120} = 30\)

For the line:
\(f(60) = .5(60) + 7.5 = 37.5\)

Subtract to find the distance. (QR)

\(37.5 - 30 = 7.5\)

Answer:

Yes

Step-by-step explanation:

If you convert these numbers to push ups per minute, It gives you the same amount per minute.

Answer:

D

Step-by-step explanation:

Since its deducting taxes, B and C are not correct. D shoes 33% deduction of 500, which is the correct answer

Based on the given information, we can make the following conclusions: Both means are shorter than their respective medians. The median-to-mean increase is greater in the case of bypass surgery

In statistics, the median is a measure of central tendency that represents the middle value of a dataset when the data is arranged in ascending or descending order. It is the value that separates the lower 50% of the data from the upper 50% of the data. To find the median of a dataset, the data is first arranged in order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values. The median is a useful measure of central tendency because it is less sensitive to outliers than the mean, which makes it a better indicator of the typical or central value of a dataset when the data is skewed or contains extreme values.

Here,

1. Both means are shorter than their respective medians, suggesting that both distributions are skewed to the right. This means that there are some patients who wait for a very long time, causing the right tail of the distribution to be longer.

2. The fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is greater in the case of bypass surgery, suggesting that the skewness is more pronounced for bypass surgery than for angioplasty. This means that there are relatively more patients who wait for a very long time for bypass surgery compared to angioplasty, which is reflected in the longer right tail of the distribution for bypass surgery.

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For the given graph option (A) and option (D) are correct.

A graph is a collection of vertices or nodes connected by edges or arcs. Graphs are used to model relationships between objects, such as the connections between computers in a network, the relationships between people in a social network, or the dependencies between tasks in a project.

The term "range" refers to the set of all possible output values or outcomes of a function or relation. It is the set of values that a function can produce when given different input values.

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The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer:

A quadratic condition is a condition of the subsequent degree, which means it contains, in any event, one term that is squared. The standard structure is ax² + bx + c = 0 with a, b, and c being constants, or mathematical coefficients, and x is an obscure variable.

By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9

Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".

So, if we  want to find the value of y when we have x = -3, then:

Following these steps, you should be able to see that, when x = -3, the value of y is -9

So we conclude that the y-value for x = -3, is y = -9

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Answer:

Step-by-step explanation:

We can simplify the expression using the rules of exponents:

(-27)^(-2/3) = 1/(-27)^(2/3)

Now, we can use the fact that (-a)^(2/3) = (a^(2/3)) to simplify the expression further:

1/(-27)^(2/3) = 1/(3^3)^(2/3) = 1/3^(3*2/3) = 1/3^2 = 1/9

Therefore, x = 1/9.

Explanation:

radius = 12ft

angle θ= 130°

The formula for a area of a sector given an angle:

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.