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3 years ago

Which table shows a decreasing linear relationship?

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Table C since it is decreasing at a constant rate of 5.
55 - 5 = 50
50 - 5 = 45
45 - 5 = 40

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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

3 years ago

The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival T

oee [108]

Answer:

D. y=3x

Explanation:

3 0

3 years ago

Jay went to an amusement park. the park charges an entrance fee of $10.50 and $4.50 for every ride. jay spent $46.50 on entrance

Illusion [34]

The function that can be used to find the number of rides Jay went on is, f(x) = 4.5x + 10 = 46.5. Hence, the first option is the right choice.

Also, on solving the function we get that, Jay went on 8 rides.

We assume the number of rides Jay spent to be x.

The cost of each ride is given to be $4.50.

Thus, the total amount Jay spent on rides = $4.50x.

The entrance fee to the park is given to be $10.50.

Thus, the total expenditure of Jay can be shown as $(4.5x + 10.5).

But, in the question we are given that Jay spend $46.50 altogether.

Thus, the function to find the number of rides Jay went on can be shown as:

f(x) = 4.5x + 10 = 46.5.

Hence, the first option is the right choice.

To find the number of rides he went, we can solve this function as:

4.5x + 10 = 46.5,

or, 4.5x = 46.5 - 10.5 = 36,

or, x = 36/4.5 = 8.

Thus, Jay went on 8 rides.

Learn more about functions at

brainly.com/question/6073787

#SPJ4

6 0

2 years ago

What is an equation of the line that passes through the points (-6, 5) and (6, 7)?

e-lub [12.9K]

Answer:

$y=\frac{1}{6}x+6$

Step-by-step explanation:

Let $(x_1,y_1)\rightarrow(-6,5)$ and $(x_2,y_2)\rightarrow(6,7)$

Determine slope

$m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}$

Use either ordered pair to find the y-intercept

$y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b$

Final equation

$y=\frac{1}{6}x+6$

4 0

2 years ago

Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of

bazaltina [42]

Answer: Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

$S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}$

According to question, four days later, it becomes,

$S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg$

We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

$10+0.625\\\\10.625\ mg$

Hence, Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

3 0

3 years ago

Read 2 more answers