Which of the following points represents a number that is both rational and an integer?

Answer:

4

Step-by-step explanation:

Answer:

96 miles

Step-by-step explanation:

The distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 miles

Answer:

Im gonna have to go with C :452.4 cm

Step-by-step explanation:

If this answer is correct please put me as brainliest, Thank you!

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Answer:

Hello Love! In this problem it gives you the diameter but when doing area we need the radius and remember radius is always half of the diameter so we are going to get 12 as are radius and square it so 12 × 12 = 144 now we just multiply by pi so 144 × 3.14 = 452.16 but sense we are rounding it it will be 452.4 so our answer is C

Answer:

x=20% discount

y=$5 discount

Step-by-step explanation:

let

x= % of discount

y= amount of discount

Price of t shirt in store S=20 - 20x

Price of t shirt in store T= 20 -y

Rose spends $63 for three T-shirts from store S and one from Store T

Store S=20-20x

Store T=20-y

3 shirts from store S=3(20-20x)

1 from Store T=20-y

3(20-20x) + (20-y)=63

60 - 60x + 20-y=63

-60x - y= -17 (1)

Manny spends $140 on five T-shirts from store S and four from Store T

5(20-20x)+4(20-y)=140

100-100x+80-4y=140

-100x - 4y= -40 (2)

Solve eq 1 and 2

-60x - y= -17

-100x - 4y= -40

Multiply (1) by -4

-4(-60x-y)= -17*-4

240x+4y=68 (3)

-100x-4y=-40 (2)

Subtract (2) from (3)

140x=28

x=28/140

x= 0.2

substitute the value of x in (1)

-60x - y= -17

-60(0.2)-y=-17

-12-y=-17

-y=-17+12

-y=-5

Divide both sides by -1

-y/-1=-5/-1

y=5

Therefore,

x=0.2=20% discount

y=$5

Answer:

The equation for renting a car is ;

y = 3.5x + 220

where y is the rental cost and x is the number of miles driven

The cost of rising 388 miles is $1,578

Step-by-step explanation:

88 miles cost $428 while 158 miles cost 673, now we want to create an equation that represents renting a car from Hertz

We can make this in form of a plot with us having 2 data points here.

let the value y represent the cost of driving and x represent the number of miles driven.

So the kind of relationship we want to establish is a linear one that looks like ;

y = mx + c

Now let’s calculate the slope m with the two data points

The two points are; (88,428) and (158,673)

So the slope would be; (673-428)/(158-88) = 245/70 = 3.5

So what is left is the y intercept. To find this , we can make use of any of the two data points

Let’s say (88,428) in this case , so we have

528 = 88(3.5) + c

c = 528-88(3.5) = 528 - 308 = 220

So this means that our equation takes the form;

y = 3.5x + 220

where y represents the cost of traveling and x represents the number of miles driven

Now to the second part of the question, we want to know the cost of driving 388 miles

Just substitute the value 388 into the equation

y = 3.5(388) + 220

y = 1358+ 220 = $1,578

Answer:

24 scoops of iced tea

Step-by-step explanation:

Well, the way that I am going to solve this question is by calculating how many 1/4 cups she needs to get 1 cup and then multiply that by 6.

1/4 x 4 = 1

So 4 times 6 equals 24.

In conclusion, she needs 24 scoops

1/4 x 24 = 24/4. 24 divided by 4 equals the 6 cups Anna needs

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).

The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.

Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

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The correct answer is 475 and 525. To find the range of values that 95% of the observations lie between.

We can use the empirical rule, which states that for a normal distribution with mean μ and standard deviation σ, about 95% of the observations will fall within 2 standard deviations of the mean.

In this case, the mean is 500 and the standard deviation is 10. So, 2 standard deviations below the mean is 500 - 2(10) = 480, and 2 standard deviations above the mean is 500 + 2(10) = 520.

Therefore, about 95% of the observations lie between 480 and 520, or approximately between 475 and 525.

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Answer:

so the answer could either be

Yes. as elevation increases, the temp decreases

but..

there is also no trend coz the points are scattered i.e the temp

as the elevation is increasing the temp does vary.

so My final answer would be no, there is not a trend

Answer:

2 dollars

Step-by-step explanation:

If it’s an 8 pack, that is 4 dollars then if you divid, every bar should cost 2 dollars each.

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Answer:

its irrational

7.07106781187

look at how the decimals are all over the place

if it was rational it would've been something like this

7.070707070707 or 7.071071071071

hope that answers your question

Step-by-step explanation:

you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

First, we know the graph of f(x), and now we want to find the graph of the function:

f(x - 3) + 5.

Remember that a horizontal translation of N units is written as:

f(x + N)

Remember that a vertical translation of N units is written as:

f(x + N)

Then the function:

f(x - 3) + 5

Is a translation of 3 units to the right and 5 units upwards.

This means that you need to draw the exact graph of f(x), but moved 3 units to the right and 5 units up.

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Step-by-step explanation:

espanolgkvigkvkvkckvkgif

Answer:

12

Step-by-step explanation:

12

The statement that holds true for a distribution that is nearly symmetric with very little variation is: "The left and right-hand edges of the box will be approximately equal distance from the median.

When analyzing a distribution for a quantitative variable, it is important to understand how different graphical representations provide insights into the data. One such representation is the boxplot, which provides a visual summary of the distribution's key characteristics. In this case, we have a distribution that is believed to be nearly symmetric with minimal variation. Let's explore the options provided and determine which one is true.

A boxplot consists of several components: a box, whiskers, and potentially outliers. The box represents the interquartile range (IQR), which contains the middle 50% of the data. The median, which divides the data into two equal halves, is represented by a line within the box. The whiskers extend from the box and can provide information about the data's spread.

Now, let's evaluate each option:

"The box will be quite wide, but the whiskers will be very short":

In a nearly symmetric distribution with little variation, the box should indeed be quite wide. This is because the IQR encompasses a large portion of the data. However, the whiskers would not be expected to be very short. In fact, they should extend to a reasonable length to capture the data points outside the box.

"The whiskers will be about half as long as the box is wide":

This statement suggests that the whiskers would be shorter than the box, which is not typical for a symmetric distribution with minimal variation. Generally, the whiskers are expected to extend further to capture the data points that are within 1.5 times the IQR from the box.

"The lower whisker will be the same length as the upper whisker":

This statement implies that the whiskers would have equal lengths. However, in a symmetric distribution, the whiskers should generally extend symmetrically from the box. So, the lower whisker and the upper whisker would not be expected to have the same length.

"The left and right-hand edges of the box will be approximately equal distance from the median":

This statement correctly describes a characteristic of a nearly symmetric distribution with little variation. In such cases, the median is positioned at the center of the box, which implies that the left and right edges of the box would be equidistant from the median.

"There will be no whiskers":

A boxplot without any whiskers is highly unlikely, especially for a quantitative variable. Whiskers provide valuable information about the data's spread and help identify potential outliers.

Based on the explanations above, the statement that holds true for a distribution that is nearly symmetric with very little variation is: "The left and right-hand edges of the box will be approximately equal distance from the median." This characteristic is consistent with the behavior of a symmetric distribution where the median is located at the center of the box.

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Therefore, Yolanda put 63 photos in each album.

To find how many photos Yolanda put in each album, we need to subtract the photos she mailed to her grandparents from the total photos she printed, and then divide the remaining photos by the number of albums she used.


- Yolanda printed 225 photos.
- She mailed 36 photos to her grandparents.
- To find the number of photos Yolanda put in each album, we need to subtract 36 from 225 to get the number of photos she kept for herself: 225 - 36 = 189.
- Yolanda used 3 albums, so we need to divide the number of photos she kept by the number of albums: 189 ÷ 3 = 63.
- Therefore, Yolanda put 63 photos in each album.

LONG ANSWER in points:
To solve the problem step-by-step, we can use the following equations:

1. Total number of photos Yolanda printed = 225
2. Number of photos Yolanda mailed to her grandparents = 36
3. Number of photos Yolanda kept for herself = 225 - 36 = 189
4. Number of albums Yolanda used = 3
5. Number of photos Yolanda put in each album = ?

To find the number of photos Yolanda put in each album, we can use the following formula:

(Number of photos Yolanda kept for herself) ÷ (Number of albums Yolanda used)

Substituting the values from equations 3 and 4, we get:

(189) ÷ (3)

Simplifying the expression, we get:

63

Therefore, Yolanda put 63 photos in each album.

In summary, Yolanda printed 225 photos and mailed 36 photos to her grandparents. She kept 189 photos for herself and put them in 3 albums. To find the number of photos Yolanda put in each album, we divided the number of photos she kept by the number of albums she used, which gave us 63. Therefore, Yolanda put 63 photos in each album.

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Answer:

Step-by-step explanation:

Answer:

B. The argument is invalid because the conclusion does not follow the premises. Hope this helps!  :)

Step-by-step explanation:

Answer: 5870 rounded to the nearest thousand is 6000

Step-by-step explanation:

Remember, when we round we have to be careful with the place value they are asking you to round to. Here, they want you to round to the thousands place. So, you have to look at the hundreds.

5870. 800 is the hundreds, and it is greater than “5”. So, you round to the next thousands. It happens to be 6000.

Hence, 5870 rounded is 6000.

So the order from left to right would be: Mode, Median, Mean.

In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.

This can be illustrated in the following way:

Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.

Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.

Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.

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Answer: Option D, the actual speed of the wind is 16km/h.

Step-by-step explanation:

Let's define two quantities:

Sp = Speed of the plane, that we assume it is constant.

Sw = Speed of the wind, that we assume it is constant.

When the plane flies with the wind, the total speed will be

Sp + Sw = 251km/h.

When the plane flies against the wind, the total speed will be:

Sp - Sw = 219km/h.

Then we have two equations:

Sp + Sw = 251km/h

Sp - Sw =  219km/h.

We want to find the speed of the wind, so we should isolate the speed of the plane in one of the equations, let's isolate it in the second equation:

Sp = 219km/h + Sw.

Now we can replace this into the other equation:

Sp + Sw = 251km/h.

(219km/h + Sw) + Sw = 251km/h.

2*Sw + 219km/h = 251km/h

2*Sw = 251km/h - 219km/h = 32km/h

Sw = (32km/h)/2 = 16km/h.

This is really close to the option B, but is not equal, so the correct answer will be D, none of the above.

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

f(3) = g(3)

Step-by-step explanation:

when x = 3, f(3) intersects g(3) so g(3) = f(3) = 6

The number that represents the shoe rental charge is $3 and the price per game is $2.5.

Given:

The function y=2.5x+3 represents the cost y of bowling x games.

y = 2.5x+3

In the equation the 2.5 represents additional fee.

For 1 game = 2.5*1 = 2.5

For 2 games = 2.5 * 2

= 5

3 is the flat fee for renting the shoes.

Therefore the number that represents the shoe rental charge is $3 and the price per game is $2.5.

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Answer:

\({ \tt{sum = \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 = \frac{a(r {}^{2 - 1} )}{2 - 1} \\ { \bf{27 = ar - - - (i)}} \\ \\ 54 = \frac{a( {r}^{3 - 1} )}{3 - 1} \\ { \bf{108 = a {r}^{2} - - - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r = \frac{108}{27} \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term = \frac{27}{4} }}\)

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

did you use google.if not use it it is good to use.