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Whitepunk [10]
3 years ago
15

Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Answer: Option c. 81/2

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(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.
EleoNora [17]

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _<u>5</u>_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

3 0
3 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

3 0
2 years ago
How do I apply the rule of four to this?​
crimeas [40]

Answer:

Step-by-step explanation:

7 0
2 years ago
The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0
3 years ago
Express 100 000 000 000 in scientific notation
Alik [6]
The answer is 10^11. Quick way to remember is starting from the right and however many places you need to move to the 1, is the number that goes as the exponent.
3 0
3 years ago
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