A car travels 83 7/10 miles on 2 1/4 gallons of fuel. Which is the best estimate of the number of miles the car travels on one gallon of fuel

1 year = 365 days

365 -97 = 268

it did not rain 268 days

Answer:

$127.50

Step-by-step explanation:

Given: Monica ramirez works at the hospital as a nursing assistant. She works 15 hours per week and earns $8.50 per hour.

To find: Monica's straight-time pay for each week.

Solution:

Monica earns $8.50 per hour.

Monica works for 15 hours per week.

To find the straight-time pay for each week, we need to multiply the per hour cost with the total number of hours she had worked in a week.

So, the straight-time pay for each week can be calculated as:

[tex]=15\times8.50=127.50[/tex].

Therefore, the straight-time pay for each week is $127.50

Answer: 63 grams of protein in 9 ounces of tuna

Step-by-step explanation: To find how many grams of protein are in 9 ounces of tuna, we can use equivalent ratios.

We know that a 3-ounce serving of tuna provides 21 grams of protein.

Let's set up a ratio:

3 ounces of tuna: 21 grams of protein

To find out how many grams of protein are in 9 ounces of tuna, we can set up a proportion:

3 ounces of tuna / 21 grams of protein = 9 ounces of tuna / x grams of protein

To solve for x, we can cross-multiply:

(3 ounces of tuna)(x grams of protein) = (9 ounces of tuna)(21 grams of protein)

3x = 189

Dividing both sides of the equation by 3:

x = 63

Therefore, there are 63 grams of protein in 9 ounces of tuna.

Hope this helps have a great day :)!!!!

Answer:

21

Step-by-step explanation:

If two consecutive even integers have a sum of 42. The integers are 20 and 22.

it is defined as a whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is given that, two consecutive even integers have a sum of 42.

The difference between two even numbers is 2.

Suppose two consecutive even integers are x , (x+2)

x + (x+2) = 42

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

2x +2 = 42

2x =42-2

2x = 40

x = 20

The two consecutive even integers are,

x =20

x+2 = 20 +2 =22

Thus, if two consecutive even integers have a sum of 42. The integers are 20 and 22.

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they must have a collateral

The answer is provided in the image attached.

Have a great day!

Answer: Its option C. (4)

Step-by-step explanation: You're welcome you dirty cheaters.

In mathematics, creating values for a and b satisfying a given conditional statement involves fulfilling the logical relationships between the variables. It is impossible to violate the logical connection established by the initial condition of the statement.

A: Let's choose a=2 and b=3. If a+1=b, then 2+1=3, which is true. So, a=2 and b=3 satisfy the given conditional statement.

B: It is not possible to create a pair of values for a and b where the numerical relationship shown in the given conditional statement is false. This is because the statement is a logical consequence of the initial condition a+1=b.

We are given the following values:

0.125 pound

0.1 pound

0.12 pound

All values start with the same number which is 0.1, therefore the 0.1 is the smallest.

Next the two values are followed by 0.12, so 0.12 is the next smaller number.

So the largest number is 0.125.

Arranging from least to greatest amount of trail mix eaten:

Dana, Tracy, Joanna

315 x 3 = 945

518 - 315 = 203

203 x 4 = 812

945 + 812 =1757

So the answer is $1,757 total

The total money collected from ticket sales for the high school play, with 315 student tickets sold at $3.00 each and 203 other tickets sold at $4.00 each, is $1,757.00.

To find the total money collected from ticket sales, we need to calculate the revenue from both student tickets and tickets sold to others. We know that 315 student tickets were sold at a price of $3.00 each, and the remaining tickets sold to others were at a price of $4.00 each. Since a total of 518 tickets were sold, the tickets sold to others amount to 518 - 315 = 203 tickets.

Revenue from student tickets = 315 tickets  imes $3.00 per ticket = $945.00

Revenue from other tickets = 203 tickets  imes $4.00 per ticket = $812.00

Total revenue from ticket sales = Revenue from student tickets + Revenue from other tickets = $945.00 + $812.00 = $1,757.00

Therefore, the total money collected from ticket sales is $1,757.00.

Final answer:

To write a reciprocal function with asymptotes x=4 and y=-9, the function is f(x) = -9/(x-4).

Explanation:

To write a reciprocal function with asymptotes x=4 and y=-9, we need to find the equations of the vertical and horizontal asymptotes.

For the vertical asymptote, the equation is x=4. This means that the function approaches infinity as x approaches 4 from the left or right.

For the horizontal asymptote, the equation is y=-9. This means that the function approaches -9 as x approaches infinity or negative infinity.

Therefore, the reciprocal function with these asymptotes is:

f(x) = -9/(x-4)

Final answer:

To create a reciprocal function with asymptotes x=4 and y=-9, the function can be expressed as y = 1/(x-4) - 9. This form ensures a vertical asymptote at x=4 and a horizontal asymptote at y=-9.

Explanation:

To write a reciprocal function with asymptotes x=4 and y=-9, you need to include factors that will create these asymptotes in the function's equation. A reciprocal function generally has the form y = a/(x-h) + k, where (h, k) represents the horizontal and vertical shifts to create the asymptotes x=h and y=k. In this case, we have:

y = 1/(x-4) - 9

This function has a vertical asymptote at x=4 because as x approaches 4, the denominator approaches 0 causing the function to approach infinity. The horizontal asymptote at y=-9 occurs because as x goes to infinity, the value of 1/(x-4) approaches 0, and the entire function approaches -9.

Rewrite the systems of inequalities in slope-intercept form, and then graph the lines using the respective inequalities. The shaded area that overlaps will represent the solution to these systems of inequalities.

In order to determine a graph that represents the system of inequalities, y+32x > -3 and y-5 ≤ -6x, you will need to write the systems of inequalities in mathematical terms, known as slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Firstly, let's rewrite the first inequality as y > -32x - 3. This inequality suggests that y is greater than -32x - 3, therefore the area above the line will be shaded.

Next, the second inequality is rewritten as y ≤ 6x + 5. This suggests y is less than or equal to 6x + 5, thus the area below the line will be shaded.

Remember, when creating the graph, a solid line should be used for ≤ symbol and a dashed line for the > symbol. The overlapping region of the two inequalities on the graph is the solution to the system of inequalities.

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A 90% confidence interval will have a width of 2.36 which is false.

Let μ be the mean, σ be the standard deviation, n be the ample size, and z be the z-score. Then we have

Confidence interval = μ ± z (σ / √n)

A sample mean of 2.1 and a sample standard deviation of 0.7 from a sample of 10 data points.

We know that the z-score for 90% of the confidence interval is 1.645. Then we have

Confidence interval = μ ± z (σ / √n)

Confidence interval = 2.1 ± 1.645 (0.7 / √10)

Confidence interval = 2.1 ± 0.364

For positive sign, then the width will be

⇒ 2.1 + 0.364

⇒ 2.46

A 90% confidence interval will have a width of 2.36 which is false.

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The number of ways the seats can be assigned is equal to n factorial (n!).

The number of ways the seats can be assigned is given by the permutation formula. Since there are n students and 2 classes, each student can be assigned a seat in the first class in n ways. After that, there are (n-1) seats left and (n-1) students remaining to be assigned seats in the second class. Therefore, the total number of ways to assign seats is n * (n-1) * (n-2) * ... * 1, which is equal to n factorial (n!).

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