Janet bought g number of packs of gum. Each pack of
gum costs $0.79. Write an expression that shows how
much change she will get back from paying with a $20
bill.
USE g FOR THE VARIABLE

Answer:

[tex]y = \frac{5}{2} x + 2[/tex]

Step-by-step explanation:

Find slope which is also referred to as m:

m = (y2 - y1) / (x2 - x1)

   = 7-12 / 2 - 4

   = -5 / -2

   = 5/2

y = mx + b

17 = 5/2(6) + b

17 = 15 + b

b = 2

y = 5/2x + 2

Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer:

17100000

17100000

Step-by-step explanation:

Answer:

17,100,000

Step-by-step explanation:

Hope this helped:)

Answer:

$20,000=4x

Step-by-step explanation:

First if we want to find out how much the price of the car went down we would have to find out how much the price went down by subtracting $20,000 by $8,000. I got 12,000. Then we have to find out how much the price went down every year. So, $12,000 ÷ 4 = $3,000. So, in 4 years the price went down $3,000 dollars every year

Answer:

I am looking for this answer too

Step-by-step explanation:

================================================

Explanation:

Slope Formula

m = (y2-y1)/(x2-x1)

m = (-9-7)/(-4-(-4))

m = (-9-7)/(-4+4)

m = -16/0

We cannot divide by zero, so the slope is undefined.

All vertical lines have an undefined slope because any two points on this line will have x coordinates of the same value. Those x coordinates subtract to 0.

Answer:

b because it never said how much many you and your friend need

Step-by-step explanation:

Answer:

slope=-2

Step-by-step explanation:

If two lines are parallel, they have the same slope with different y-intercept

Answer:

Value of x is 23.

Step-by-step explanation:

7x-5+x+1=180

after solve

we get

x = 23

Relative frequencies of past events can be used to predict future events by using probability theory. Probability theory is a branch of mathematics that deals with the study of random phenomena.

In the given example, if a student passed seven out of ten assignments in a course, the probability that the student will pass the next assignment in the course can be calculated by using relative frequency. We can use the formula of probability to calculate the probability of the student passing the next assignment. Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case, the number of favorable outcomes is seven because the student passed seven out of ten assignments. The total number of possible outcomes is ten because the student attempted ten assignments. Therefore, the probability of the student passing the next assignment is 7/10 or 0.7. This means that there is a 70% chance that the student will pass the next assignment.

In conclusion, the relative frequency of past events can be used to predict future events. Probability theory can be used to calculate the probability of an event occurring in future events. By using the formula of probability, we can calculate the probability of an event occurring based on the relative frequency of past events. In the given example, the probability of the student passing the next assignment is calculated as 0.7 or 70%.

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Answer:

Step-by-step explanation:

Answer:

15 dollars

Step-by-step explanation:

you do 3 × 5 which will give you 15

The person will gain Rs. 5,500 after 3 years by lending the whole amount to a shopkeeper at the same rate of compound Interest for the same time.

Given, Principal amount (P) = Rs. 16,000

Rate of Interest (R) = 12.5%

Time (T) = 3 years(a)

The amount to be paid to the bank as simple interest can be calculated as follows:

Simple Interest (SI) = (P × R × T) / 100= (16000 × 12.5 × 3) / 100= Rs. 6,000Therefore, the amount to be paid to the bank as simple interest is Rs. 6,000.

(b) The amount to be received by the person from the shopkeeper as compound interest can be calculated as follows: Compound Interest (CI) = P × [1 + (R/100)]T – P= 16000 × [1 + (12.5/100)]3 – 16000= Rs. 21,500

Therefore, the amount to be received by the person from the shopkeeper as compound interest is Rs. 21,500.(c) Gain = CI - P= 21500 - 16000= Rs. 5,500

Therefore, the person will gain Rs. 5,500 after 3 years by lending the whole amount to a shopkeeper at the same rate of compound interest for the same time.

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Answer:

The answer to 0.64 - 0.38 is 0.26

Step-by-step explanation:

hope this helps!!!

Answer:

y=(-5/9)x+0.25

Answer:

143670

Step-by-step explanation:

 200000

-    56330

_________

    143670

Answer:

6100

Step-by-step explanation:

I think its 1600

Answer: 61219.444

Step-by-step explanation:

The decimal will go 3 times to the right on the nearest thousandths place.

~I hope I helped you! :)~

The stem-and-leaf plot for the data-set in this problem is given as follows:

4|1 1 4

5|5 8 9

6|0 1 2 3

7|2 7

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The stems for this problem are the first digits of the numbers, which are 4, 5, 6 and 7.

The leafs are the second digits, hence the plot is given as follows:

4|1 1 4

5|5 8 9

6|0 1 2 3

7|2 7

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The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.

To calculate the mean and standard deviation in Excel, you can use the following functions:

Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.

Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.

Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.

The Confidence Interval can be determined using the formula: E = Z * (σ / √n)

In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.

Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.

Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.

Now, we can set up the confidence interval using the mean and E value:

Confidence Interval = (mean - E, mean + E)

Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)

Confidence Interval = ($4.015, $5.205)

Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.

In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.

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Answer:

Step-by-step explanation:

Note that the base of the building forms a right angle with the ground and the ladder forms a right triangle with the building.

On this case, we can apply Pythagorean theorem.

Since the ladder serves as the hypotenuse and the distance from the base of the building to the foot of the ladder is adjacent with the angle of elevation, we can use cosine.

Let A be the angle of elevation

cos A = adjacent/hypotenuse

cos A = 10ft/20ft

cos A = 0.50

A = Arc cos 0.50

A = 60°

With the given data, the angle of elevation turns out to be 60°. As it's beyond the allowable values, it won't satisfy the safety specifications of 35°-45°. The placement of the ladder is too steep and would need to be adjusted.

A cone-shaped paper drinking cup is to be made to hold 36 cm^3 of water. In order to make the paper cup with the least amount of paper, we need to minimize the surface area of the cone.

We want to minimize the surface area of the cone, which is given by:S = πr(r + s)where s is the slant height of the cone. We can eliminate s by using the Pythagorean theorem: s^2 = r^2 + h^2hence: s = sqrt(r^2 + h^2)

Now, we can substitute this into the surface area formula: S = πr(r + sqrt(r^2 + h^2)) = πr^2 + πr(sqrt(r^2 + h^2))

To minimize the surface area, we need to find the values of r and h that satisfy the volume equation and minimize the surface area equation. We can do this by using the method of Lagrange multipliers. The Lagrangian function is: L = πr^2 + πr(sqrt(r^2 + h^2)) + λ[(1/3)πr^2h - 36] Taking partial derivatives with respect to r, h, and λ and setting them equal to zero gives: 2πr + (πh r)/(sqrt(r^2 + h^2)) + (2/3)πλr^2 = 0πr/(sqrt(r^2 + h^2)) + (1/3)πλr^2 = 0(1/3)πr^2h - 36 = 0 Solving this system of equations gives:r = 1.85 cm h = 4.10 cmλ = 0.57 cm^-1

Therefore, the radius of the paper cup that uses the smallest amount of paper is 1.85 cm. The height of the paper cup that uses the smallest amount of paper is given as 4.10 cm. The radius of the paper cup that uses the smallest amount of paper is found to be 1.85 cm.

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Answer:

use math papa

Step-by-step explanation:

Answer:

they will save 6$ hope this helps !!

Answer:

B and the last one. not a taxi is the best taxi and

Step-by-step explanation: BUHNROP (SPELL IT BACKWORDS THAT IS MY FAVORITE SHOW EVER!!!