Suppose that the distance a car travels varies directly with the amount of gasoline it uses. a certain car uses 11 gallons of gasoline to travel 198 miles. how many miles can the car travel if it has 10 gallons of gasoline?

The height of the tree will be 45 feet.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A tree is standing next to a 40-foot-high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow.

Let x be the height of a tree. Then we have

x / 18 = 40 / 16

x = 45 feet

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Based on the daily consumption calculated from the given data, Lee's cat eats approximately 91.25 pounds of cat food in a year.

The question is asking for the estimated number of pounds of food that Lee's cat eats in one year. Lee's cat consumes a five-pound bag of food in 20 days. So, let's first determine how much he eats in 1 day. If 5 pounds is consumed in 20 days, then in 1 day, the cat eats 5/20, or 0.25 pounds.

Since there are approximately 365 days in a year, we multiply this daily consumption by 365. So, 0.25 pounds/day * 365 days/year = 91.25 pounds/year.

So, the best estimate for the amount of cat food that Lee's cat eats in one year would be approximately 91.25 pounds.

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As per linear equation, the value of Mayam's benefits is $12250.

A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.

Given, Maryam earns a salary of $35,000 a year.

Her benefits are equal in value to 35 percent of her salary.

Therefore, the value of Mayam's benefits is

[tex]=[/tex] $[tex]\frac{(35000)(35)}{100}[/tex]

[tex]=[/tex] $12250

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Final answer:

The expected value for the game is $4, which means on average a player would expect to gain $4 before the entry fee. However, after subtracting the cost to play ($15), the net expected value is -$11, indicating a loss on average for each play.

Explanation:

To determine the expected value of the game mentioned, we first identify the possible outcomes and their corresponding probabilities. Next, we multiply each outcome value by its probability, and sum up these products. Finally, we deduct the cost of the game ($15) from the sum to find the expected net gain or loss.

Probability of picking a $5 bill = 4/10

The expected value (EV) calculation would be:

EV = (1/10 * $100) + (2/10 * $20) + (3/10 * $10) + (4/10 * $5) - $15

EV = ($10) + ($4) + ($3) + ($2) - $15

EV = $19 - $15

EV = $4

Therefore, the expected value for the game is $4. This means on average you would expect to gain $4 per game before considering the entry fee. Since you pay $15 to play, you need to subtract this from the $4 gain to obtain the net expected value, which would be -$11, indicating a loss in the long run.

The Answer to this problem is BN=3.8 Units.

The statement △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB, meaning their corresponding sides and angles are equal. However, without additional information, such as the length of a congruent side in △FEB, we cannot determine the exact length of BN.

The given statement, △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB. In congruent triangles, corresponding sides and angles are equal.

However, to determine the exact length of BN, more information is needed. Examples of useful additional information would include the length of a corresponding side in △FEB, or the lengths of other sides in △CNB in relation to the length of BN, if these are also congruent sides.

Given the information provided in the question, it's not possible to provide an exact numeric value for the length of BN at this time. Please confirm if there are any additional details in your question or your course materials that could further clarify this issue.

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The values of sine, cosine, and tangent for angle θ, where (1, -1) is on its terminal side, are sin(θ) = -1, cos(θ) = 1, and tan(θ) = -1, knowing that the point lies in the fourth quadrant.

To find the values of the sine, cosine, and tangent of an angle θ where the point (1, -1) is on its terminal side, we first recognize that this point lies in the fourth quadrant of the coordinate system. In this quadrant, cosine is positive, and sine and tangent are negative.

The point (1, -1) gives us the x and y coordinates on the Cartesian plane, which correspond to the lengths of the adjacent side and the opposite side of the right-angle triangle formed by the radius (hypotenuse) from the origin to the point, and the axes. Assuming we're dealing with a unit circle (which has a radius of 1), we can directly use the coordinates (1, -1) to find the cosine and sine:

Hence, for angle θ, cos(θ) is 1, sin(θ) is -1, and tan(θ) is -1.

when m = 5:

2k = 5+3

2k = 8

k = 8/2

k=4

when m = 7

2k = 7+3

2k =10

k = 10/2

k = 5

when m = 9

2k = 9+3

2k = 12

k = 12/2

k = 6

k = {4,5,6}

Answer:

(3a,a)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The mode of the data is 2 which occurs more frequently during these two weeks.

Mode is the number that appears most frequently in the given set of data. The Median represents the middle value of the given data when arranged in a particular order.

The daily rainfall during two week period in april weeks given as;

1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches.

Calculation of the mode:

First, we Rearrange the data from the lowest to the highest value.

0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3

Since there is an even number of data, find the mode in the middle;

0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3

Therefore, the mode of the data is 2 which occurs more frequently during this two-week peroid.

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Answer: Yes

Step-by-step explanation: This table does represent a function. A function is where each input has exactly one output. Since none of the x-values repeat, this would represent a function.

The relationship between variance and standard deviation is simply:

s = standard deviation

s^2 = variance

s = sqrt (s^2)

Therefore calculating for s:

s = sqrt (144)

s = 12

So we get the standard deviation is simply 12 scores.

I believe that aside from the bar graph, the line graph would actually best suits to convey this information. Because just like the bar graph, we can actually see the peaks of the grades. And through the peaks, we can easily compare the grades one by one.

Answer:

line graph