How to solve Percentage problems

Over [174]

Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission

Since the fair charges $1.25 per ticket, the equation of the line would look like:

y = 1.25x + a

Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:

43.75 = 1.25×25 + a

Now solve for a

43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50

Going back to the first equation:

y = 1.25x + 12.50

Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 12 - 8}{4 - 9} \\ m = \frac{ - 20}{ - 5} \\ m = 4$
b) For the point-slope equation, I'll use (9,8)
Using the formula:
$y - y1 = m(x - x1) \\ y - 8 = 4(x - 9)$
c) For the slope-intercept form, we solve for y in the point-slope formula:
$y - 8 = 4(x - 9) \\ y = 4x - 36 + 8 \\ y = 4x - 28$

5 0

3 years ago

The performance review scores for several employees in a work group are shown in the table. Which of the following measures woul

german

If I understand what you are asking, you can use the median as an average since it is not affected by the mean ( median is a measure of center). Since a mean is affected by outliers, it might lower the score if there are very low outliers. But note that if there are outliers way <em>greater </em>it can increase the average. You can use the Inter Quartile Range if shown on a box plot ( measure of variability).

8 0

4 years ago

A Cheetah running at 61 miles per hour is chasing an American Antelope that is running

Nataly_w [17]

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

= 59 miles per hour

The Cheetah is faster than the American Antelope

3 0

3 years ago

I need help with letter c and d

Lady bird [3.3K]

C. Claire could be 6 foot 8 while Alice could be 5 feet.

D. It would be 3/4 to 4/4 because Alice is 1/4 shorter than Claire.
3/4 : 4/4 | 6/8 : 8/8 | 9/12 : 12/12 | etcetera.

5 0

3 years ago

Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different

DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 3 ingredients are chosen from a set of 6, hence:

$C_{6,3} = \frac{6!}{3!3!} = 20$

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0

3 years ago