A piece of timber is x cm long. 7 cm is cut off. How much is left?

They bought a total of 160 pairs of shoes and boots

Variable is a value that can change, depending on conditions.

Let's start by defining some variables:

Let x be the number of pairs of shoes they bought.

Let y be the number of pairs of boots they bought.

From the problem, we know that:

The cost of a pair of shoes is 20 dollars.

The cost of a pair of boots is 60 dollars.

They spent a total of 8000 dollars,

so we have:

20x + 60y = 8000

They bought 3 times as many boots as shoes, so we have:

y = 3x

Now we can substitute y = 3x into the first equation and solve for x:

20x + 60(3x) = 8000

20x + 180x = 8000

200x = 8000

x = 40

So they bought 40 pairs of shoes. Using y = 3x, we find that they bought 120 pairs of boots.

Therefore, they bought a total of 40 + 120 = 160 pairs of shoes and boots.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

C

Step-by-step explanation:

-6(-2/3 + 2x)

= 12/3 = 4

4 is the answer to the first number times -6. This is because 2 negatives are equal to a positive.

-6 * 2x

= -12

So, it can be concluded that the answer is C

Answer:

12.7=s

Step-by-step explanation:

First, write the equation and combine like terms.

7-45=-3s

-38=-3s

Next, divide both sides by 3.

-38=-3s

/-3  /-3

12.7=s (I rounded the answer.)

Hope this helps! Have a great day C:

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Since x represents the number of dollars by which the price of the buffet can be increased, we can conclude that the maximum possible increase that maintains the desired minimum revenue is $3

Let x be the number of dollars by which Noah increases the price of the buffet. Then, the new price of the buffet is $10 + x.

From the given information, we know that for every $1 increase in price, the number of customers who choose the buffet decreases by 2 per hour. Therefore, if the price increases by x dollars, the number of customers who choose the buffet will decrease by 2x per hour.

The revenue generated by the buffet is the product of the price and the number of customers who choose it per hour. Therefore, the revenue function R(x) is: \(R(x) = ($10 + x) * (16 - 2x)\)

Simplifying this expression, we get: \(R(x) = 160 - 12x - 2x^2\)

To maintain a minimum revenue of $130 per hour, we need: \(R(x) \geq $130\)

Substituting the expression for R(x), we get: \(160 - 12x - 2x^2 \geq 130\)

Rearranging, we get: \(2x^2 + 12x - 30 \leq 0\)

Dividing both sides by 2, we get: \(x^2 + 6x - 15 \leq 0\)

Solving this inequality for x, we get: \(-5 \leq x \leq 3\)

The maintained desired minimum revenue is $3 and this is true because if the price of the buffet is increased by more than $3, the revenue will fall below the minimum of $130 per hour.

Full question "Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour. Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions. Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true."

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Answer:

r = 2.25733059

round to whatever place your teacher wants.

Step-by-step explanation:

The formula for volume of a cylinder is

V=πr^2h

Plug in what we know

400 = πr^2(25)

divide both sides by 25

16 = π r^2

divide both sides by π (= 3.14)

r^2 = 5.0955414

then take the square root of both sides

r = 2.25733059

round to whatever place your teacher wants.

------------------------------------------

Kind of wishing the volume was 400π, lol. Would be easier to solve.

LMK if you have questions.

Answer:

The actual distance between the two places to the nearest tenth of a kilometer is 63.3 km

Step-by-step explanation:

Here, we want to get the actual distance between two places on a map, given the scale used to draw the map and the distance of both places on the map, in terms of the scale.

The scale used here is 1cm to 11.5km

Since 1cm = 11.5km

then 5.5cm = x km

Thus ; x = 5.5 * 11.5

x = 63.25 km

Our answer in wanted to the nearest tenth of a kilometer so the answer is 63.3 km

Answer:

We know he bought 3 CDs and he paid 49.50 dollars, which the tax included. Now, we can calculate how much did he pay for each CD by dividing the total cost (49.50) by the number of CDs (3):

49.50/3 = 16.50

Now, we know each CD costs 16.50 with tax included so, if it has a tax of1.10 dollars, we only need to substract the price (16.50) and the tax (1.10)

16.50 - 1.10 = 15.40

Without tax, ech CD costs 15.4 dollars ($15.4)

Answer:

The price before sale tax is  $15.40

Step-by-step explanation:

$1.10 × 3 = $3.30

$49.50 - $3.30 = $46.20

$46.20 ÷ 3 = $15.40

The slope-intercept form of the equation 8x + 6y = 5 is y = (-4/3)x + 5/6, and the slope is -4/3, while the y-intercept is 5/6.

To write the equation 8x + 6y = 5 in slope-intercept form, we need to isolate the y variable on one side of the equation.

8x + 6y = 5

Subtract 8x from both sides:

6y = -8x + 5

Divide both sides by 6 to solve for y:

y = (-8/6)x + 5/6

Simplifying the equation further:

y = (-4/3)x + 5/6

Now we can identify the slope and y-intercept of the line:

The slope (m) is the coefficient of x, which is -4/3.

The y-intercept (b) is the constant term, which is 5/6.

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Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 3 times of the time, increased.

Given,

A snail is moving away from a rock.

The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes.

The number '3' is constant term, which basically represents the the distance covered by the snail, in terms of time or, the rate of increment of distance is terms of time.

Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 1/3 of the time, increased.

For example if the snail is moving for 1 unit time, the t will be considered as 1. so, the d will be 3*1 = 3, i.e. 3 unit distance will be covered by the snail in 1 unit time.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The simplified value of the expression (6. 38n − 3. 4) − (5 + 12. 6n) after applying subtraction is given by  -6.22n - 8.4.

Expression is equal to,

(6. 38n − 3. 4) − (5 + 12. 6n)

To subtract the expressions,

We need to distribute the negative sign to the second expression and then combine like terms, we have,

(6.38n - 3.4) - (5 + 12.6n)

First distributing the negative sign we get,

= 6.38n - 3.4 - 5 - 12.6n

Second grouping the like terms of the expression we have,

= (6.38n - 12.6n) - (3.4 + 5)

= -6.22n - 8.4

Therefore, the simplified expression after the operation subtraction is equal to -6.22n - 8.4.

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As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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154b

Step-by-step explanation:

The correct answer is (b) The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM.

What is a temperature simple definition?

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The complete question is-

The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.Time of Day10 AM12 Noon2 PM4 PM6 PM8 PM10 PMTemperature (F)30353636343028Over which period(s) of time is the average rate of change zero? What, if anything, can you conclude about the actual temperature fluctuation within this period?a.The average rate of change of temperature is 0 from 2 PM to 4 PM; Nothing can be concluded about the actual temperature fluctuation.b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.c.The average rate of change of temperature is 0 from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.d.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; The conclusion that can be drawn is that the temperature will not change for that time period.

The answers to the options are:

This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.

Note that in case A, the The inequality that represent the temperatures  is less than sign.

In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that  the gas cannot stay liquid.

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The most reasonable range of intervals will depend on the specific characteristics of your data set and the level of granularity you want in your histogram.

The range of data values ​​and the number of data points should be considered when choosing intervals for a histogram to represent your data.

In this particular dataset, the data values ​​range from 22 to 91. You can divide this range into equal intervals. 10, 5, or 2.5 centimeters, depending on the granularity you want in your histogram.

The number of information focuses is generally little at 18 focuses. A great run show of thumb for choosing the number of interims is to require the square root of the number of information focuses.

 In this case, it is approximately 4.24. This can be rounded to 5 or 6 intervals depending on the range selected.

For illustration, in case you select an interim of 10 centimeters, you'll be able to make the taking after the histogram.

20 30 40 50 60 70 80 90

1 shot 1 shot

In this histogram, the first interval contains the values ​​22 and 28, so there is a ball in that interval. The second interval contains the values ​​36, 37, 41, and 54, so there are 4 balls in this interval.

The third interval contains the values ​​57, 58, and 59, so there are 3 balls in this interval. The fourth interval contains the values ​​62, 68, and 76, so there are 3 balls in this interval.

The fifth interval contains the values ​​83, 85, 88, and 89, so there are 4 balls in this interval. The sixth interval contains the values ​​90 and 91, so there are two balls in this interval.

Overall, the most reasonable range of intervals will depend on the specific characteristics of your data set and the level of granularity you want in your histogram.

In general, it is important to choose equally sized intervals to capture a range of data values.  

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Answer:

The first step would be to subtract the two equations.

Answer:

D) (8,-22)

Step-by-step explanation:

I used my graphing calculator.

Answer:

D

Step-by-step explanation:

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

p : r = 5 : 2

Step-by-step explanation:

Expressing the ratios in fractional form, then

\(\frac{p}{r}\) = \(\frac{p}{a}\) × \(\frac{a}{b}\) × \(\frac{b}{c}\) × \(\frac{c}{r}\)

  = \(\frac{1}{2}\) × \(\frac{2}{3}\) × \(\frac{5}{1}\) × \(\frac{3}{2}\)

   = \(\frac{30}{12}\)

  = \(\frac{5}{2}\)

Thus ratio p : r = 5 : 2

For right triangle LMN, the required ratio equivalent to tan(L) is 5 /13.

In this case, in order to find the ratio equivalent to tan (L).

tan(L) = opposite / adjacent side

tan(L) = NM /LN

Here given

NM = 5cm

LN = 13cm

We already know that tan(L) = perpendicular / adjacent

from given,

tan (L) = 5 / 13

As a result, the required ratio for triangle LMN is 5/13.

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Answer:

B) -2.5

Step-by-step explanation:

2x^2 + 5x -3 = 0

(2x - 1)(x + 3) = 0

2x - 1 = 0; 2x = 1, so x = 1/2 = ROOT 1

x + 3 = 0, so x = -3 = ROOT 2

Now add the roots: -3 + 1/2 = - 2 1/2, so the answer is B.

Answer:

95.4 yards maybe

Step-by-step explanation:

just used pythagoras theorem

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

This means that when all 8 parts are arranged in a single row, probability there are 28 different conceivable configurations. Finley can have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces.

Finley features eight game pieces, each of which is entirely either all red or all black and simply differs in colour. This indicates that there are 28 distinct configurations that may be made using the 8 pieces arranged in a single row. Finley could have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces. This is due to the fact that the 8 pieces can be arranged in a variety of ways, and each arrangement will be deemed distinct as long as it contains at least one red and one black piece. For instance, the configuration could be as follows if there are 4 red and 4 black pieces: If there are four red pieces and four black pieces, for instance, the arrangement might be either black-red-black-red-black-red-red or red-black-red-black-red-black. No matter the configuration, there are a total of 28 arrangements.

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Answer:

y4.5

Step-by-step explanation: