solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3​

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

Answer:

See below.

Step-by-step explanation:

Let x represent the number of days.

Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:

\(y=20x+15\)

Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.

For Bark Time Hotel, similarly:

\(y=30x+5\)

Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.

Thus, the system of equations is:

\(y=20x+15\\y=30x+5\)

The system that represents this real-world situation is:

Cost = 20d + 15

Cost = 30d + 5

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The system that represents this real-world situation is:

Let d be the number of days the pet will be boarded.

For Day and Night Kennel:

Cost = 20d + 15

For Bark Time Hotel:

Cost = 30d + 5

In this system, d represents the number of days the pet will be boarded, the constant 20 represents the daily boarding fee charged by Day and Night Kennel, the constant 30 represents the daily boarding fee charged by Bark Time Hotel, the constant 15 represents the one-time food fee charged by Day and Night Kennel, and the constant 5 represents the one-time food fee charged by Bark Time Hotel.

Thus,

Cost = 20d + 15

Cost = 30d + 5

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Answer: The points (9,-) and (9,3) Both have the same (y) coordinate.

Step-by-step explanation:

As per the concept of inequality, All the given options are true and the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

Inequality:

In math, Inequality means a unequal or biased outcomes and is an unjust distribution of resources and opportunities. And it leads to an increased resolution of the opportunities and resources.

Given,

Here we have the list of options and we need to find in which inequality is true.

Here we know that, the inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.

When a number line that is going from the negative 3 to positive 3 and is in increasing order.

Here the second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct

Finally, the third one depicts the 2 and one-third greater than 2 and one half.

Therefore, the option 1, 2, and 3 are true.

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\( \boxed{ \tt \frac{3}{x + 5} - \frac{2}{x - 3}}\)

\( \dashrightarrow\sf\dfrac{3}{x + 5} - \dfrac{2}{x - 3}\)

Write the equation

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{\frac{3 \times (x + 5)(x - 3)}{x + 5} - \frac{2 \times (x + 5)(x - 3)}{x - 3}}{(x + 5)(x - 3)}\)

Take the lcm of the equation I.e (x + 5) (x + 3)

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{\frac{3 \times \cancel{(x + 5)}(x - 3)}{\cancel{x + 5}} - \frac{2 \times (x + 5)\cancel{(x - 3)}}{\cancel{x - 3}}}{(x + 5)(x - 3)}\)

cancel like terms I.e (x + 5) with (x+ 5) and (x - 3) with (x - 3)

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{\frac{3 \times (x - 3)}{1} - \frac{2 \times (x + 5)}{1}}{(x + 5)(x - 3)}\)

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{3 \times (x - 3)- 2 \times (x + 5)}{(x + 5)(x - 3)}\)

Remove 1 as denominator

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{3x - 9- 2 (x + 5)}{(x + 5)(x - 3)}\)

Multiply 3 with x - 9

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{3x - 9- 2 x - 10}{(x + 5)(x - 3)}\)

Multiply - 2 with x + 5

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{3x - 2x- 9 - 10}{(x + 5)(x - 3)}\)

Arrange the equation so that it would be easier to solve.

\( \\ \\ \)

\( \dashrightarrow\sf\dfrac{x- 9 - 10}{(x + 5)(x - 3)}\)

Subtract 3x with 2x

\( \\ \\ \)

\( \dashrightarrow\bf\dfrac{x-19}{(x + 5)(x - 3)}\)

Add -9 with - 10

\( \\ \\ \)

\(\therefore \underline {\textsf{\textbf{Option \red{one} is correct}}}\)

Answer:

Step-by-step explanation:

-3b - 2b + 7 = -15

-5b  = -22

b = 22/5

Answer:

\(Slope=1.\)

Step-by-step explanation:

\(Calculate \: the \: slope \: m \: using \: the \\ \: slope \: formula \: \)

\(m = \frac{y2 - y1}{x2 - x1} \)

\(with(x^1,y^1)=(-2,-5)and(x^2,y^2)=(-3,-6)\)

\(m = \frac{ - 6 - ( - 5)}{ - 3 - ( - 2)} = \frac{ -6 + 5}{ - 3 + 2} = \frac{ - 1}{ - 1} = 1.\)

\(Thank \: you!!!\)

The perimeter of the rectangle is 1 2/3 units, the perimeter of a rectangle is the total length of all four sides of the rectangle. The formula for the perimeter of a rectangle is 2(length + width).

In this case, the length is 1/3 unit and the width is 1/2 unit. Plugging these values into the formula, we get: Perimeter = 2(1/3 + 1/2) = 2(5/6) = 5/3

Dividing 5 by 3, we get 1 2/3. Therefore, the perimeter of the rectangle is 1 2/3 units.

In more detail, the perimeter of a rectangle is the distance around the outside of the rectangle. It is equal to the sum of all four sides of the rectangle. In this case, the rectangle has a length of 1/3 unit and a width of 1/2 unit. The perimeter can be calculated using the following formula:

Perimeter = 2(length + width)

Plugging in the values for length and width, we get:

Perimeter = 2(1/3 + 1/2)

= 2(5/6)

= 5/3

This means that the perimeter of the rectangle is 5/3 units, or 1 2/3 units.

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

1/6

Step-by-step explanation:

In 1 hour, the filling pump can fill 1:6 = 1/6 of the pool
In 1 hour, the draining pipe can drain 1:9 = 1/9 of the pool

So, in 1 hour, the pool is filled 1/6 - 1/9 = 1/18

By 3 hours, the pool would be filled 1/18 x 3 = 1/6.

So after 3 hours, the pool will be filled 1/6 of it.

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

What is statistical validity?

Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.

It can also be the statistics which are derived from the research works or studies.

What is frequency in statistics?

Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.

For a given set of data the frequency can either be 0 or more than that.

Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.

What is margin of error estimate?

The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.

The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the  interval.

Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

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Step-by-step explanation:

well, what would you think ?

since the line NO bisects the angle at N (MNO), it bisects also the line MO.

"bisecting" simply means "cutting in half". that means both resulting parts are equally large.

therefore, MO = PO = 8

Answer:

y=-1/2x+4 Is your answer

Step-by-step explanation:

y=mx+b

3=2x+4

-1=2x

x=-1/2

You already know y is 4 so y=-1/2x+4

Answer:

200 students vote in the election

Step-by-step explanation:

We know

120 votes = 60%

1% = 2 votes

To find how many students vote in the election, we take

2 x 100 = 200 votes

So, 200 students vote in the election

Answer:

Step-by-step explanation:

You can set the equation up like this

80=2x

Divide both sides by 2

x=40

Yes, 10 can be replaced by a smaller number. Let's prove it first, then look for a smaller number of people.

Let us write the ages of these 10 people as a1, a2, a3, ... a10.According to the given statement,1 ≤ ai ≤ 60Thus, the age of every individual must be between 1 and 60.

Arrange these ages in a non-decreasing order.

Let's assume that no two groups can have the same sum of ages. Each group has either odd or even numbers of members. Hence, if there are an even number of members in the group, the sum of their ages will also be even. If the group has an odd number of members, the sum of their ages will also be odd.

This means that the 10 people can be divided into five groups, with the sum of the ages of each group being odd or even.

Let us consider two cases:

Case 1:

All five groups have odd sums. This implies that each group has an odd number of members, and the number of members in the group is either 1, 3, or 5. Since there are only 10 people, it is impossible to have five groups with an odd sum of ages. This is because there must be two groups that have the same sum of ages.

Case 2:

Three groups have an even sum, and two groups have an odd sum. This implies that there are two groups with an even number of members and three groups with an odd number of members. Since the ages of each individual are between 1 and 60, the sum of the ages of the members of the group with the most members must be at least 1 + 2 + 3 + 4 + 5 = 15.

Similarly, the sum of the ages of the members of the group with the least members must be at least 1 + 2 = 3. If we remove the members of the two smallest groups, we will be left with 6 members whose ages add up to at least 15 + 3 = 18, which is an even number.

This implies that the remaining three groups must have even sums, which contradicts our assumption that two groups do not have the same sum of ages. This proves that we can always find two groups of people (with no common person) the sum of whose ages is the same. The number 10 can be replaced with a smaller number, for example, 8.

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Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.

Given:

mean height = 72 inches  

standard deviation = 3 inches,

We can determine the range within which 68% of the population's heights will fall.

To calculate this range, we subtract and add one standard deviation from the mean:

Lower bound: Mean - Standard Deviation

= 72 - 3

= 69 inches

Upper bound: Mean + Standard Deviation

= 72 + 3

= 75 inches

Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.

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Answer:

72

Step-by-step explanation:

If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets

Answer:

the answer is 16 please make me brainliest :> thx uuu

In this question, the value of f(4, 3) computed using the computational graph is 21.

Here is the computational graph for the function f(x, y) = y(x + y):

     x

      |

      |

      v

     +

      |

      v

     y

      |

      |

      v

     +

      |

      v

    y^2

      |

      |

      v

     *

      |

      v

     f(x, y) = y(x + y)

To compute f(4, 3), we start at the input nodes for x and y and follow the graph nodes according to the operations represented.

Input 4 for x.

Input 3 for y.

Multiply the values of y and (x + y) to get f(x, y). Substitute the values: f(4, 3) = 3(4 + 3) = 3(7) = 21. Therefore, f(4, 3) is equal to 21.

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Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.

To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.

For the first scenario:

Mean (μ) = 162

Standard deviation (σ) = 11

Value to evaluate (x) = 195

We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.961 * 2400 = 2306.4

Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.

For the second scenario:

Mean (μ) = 137

Standard deviation (σ) = 19

Value to evaluate (x) = 118

We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.

Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.735 * 4000 = 2940

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Answerh

Step-by-step explanation:

huh

Answer:

\(2x^2+x-3=(2x+3)(x-1)\)

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

\(2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)\)

Hope this helps! Let me know if you are still confused.

Answer:

325

Step-by-step explanation:

All you need to do is,

3770 ÷ 11.6

= 325 meters.