What is the next fraction in this sequence? Simplify your answer. 3/4, 1/4, 1/12, 1/36

Answers

Answer 1

Answer: hey their,

3/4
1/4
1/12
1/36
0/60

The pattern is -1/x every 2 +x/8

How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12

Hopethis helped

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You have 45 to spend at the music store. Each cassette tape costs $5 and each CD costs $12. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CD's

A jar contains 4 red marbles, numbered 1 to 4, and 11 blue marbles numbered 1 to 11. A marble is chosen at random. If you're told the marble is red, what is the probability that it has the number 2 on it?

Answers

Answer:

25%

Step-by-step explanation:

So there are four marbles that are red.

It doesnt matter if we have a probability of picking blue because the question says you are picking red.

There are four possible outcomes and one favorable outcome so it is 1/4 of 25/100 or 25%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

24+ =120÷3
what's supposed to be in the space?

Answers

so first you simplify
24+x=120/3
120/3=40
24+x=40
subtract 24 from both sides
x=16

120/3= 40
40-24=16

16 is in the blank space

Factorise x2-10x-24 plz help

Answers

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

Answer:

(x - 12)(x + 2)

Step-by-step explanation:

Given

x² - 10x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) ← in factored form

If there is 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left after 32 hours and is the radioactive decay modeled by a linear function or an exponential function?A. 22.5 grams; linear

B. 22.5 grams; exponential

C.45 grams; linear

D. 45 grams; exponential

Answers

B.) 22.5 GRAMS, EXPONENTIAL

32 hours ÷ 8 hours = 4

The radioactive material will half 4 times.

360 x (1/2)⁴ = 22.50

360 x 1/2 = 180
180 x 1/2 = 90
90 x 1/2 = 45
45 x 1/2 = 22.50

Answer:

B. 22.5 grams; exponential .

Step-by-step explanation:

We have been given that there is 360 grams of radioactive material with a half-life of 8 hours.

As amount of radioactive material remains 1/2 of the amount after each 8 hours, therefore, our function will be an exponential decay function.

We will use half-life formula to solve our given problem.

$y=a*((1)/(2))^{(t)/(b)}$ , where,

$a=\text{Initial value}$ ,

$t=\text{Time}$ ,

$b=\text{Half life}$ .

Let us substitute a=360 and b=8 in half life formula to get half life function for our given radioactive material.

$y=360*((1)/(2))^{(t)/(8)}$ , where y represents remaining amount of radioactive material after t hours.

Therefore, the function $y=360*((1)/(2))^{(t)/(8)}$ gives the half-life of our given radioactive material.

Let us substitute t=32 in our half life function to find the amount of material left after 32 hours.

$y=360*((1)/(2))^{(32)/(8)}$

$y=360*((1)/(2))^(4)$

$y=360*(1^4)/(2^4)$

$y=360*(1)/(16)$

$y=22.5$

Therefore, the radioactive material will be left 22.5 grams after 32 hours and the radioactive decay is modeled by an exponential function and option B is the correct choice.

The rate traveled from Amarillo to Austin by a bus averages 65 miles per hour. The bus arrived in Austin after eight hours of travel. An automobile averages 80 miles per hour. Using the inverse variation relationship, show what the time would be for the automobile to complete the trip.

Answers

If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours

It takes 6.5 hours for the automobile to complete the trip

What is the solution for x?

Answers

3 - x = 5

Add x on both sides.

3 - x + x = 5 + x

3 = 5 + x

Subtract 5 on both sides

3 - 5 = 5 - 5 + x

3 - 5 = x

x = 3 - 5

x = -2

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