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melomori [17]
3 years ago
7

Find the missing term in the geometric sequence : 8 , 20 , 50, 125 , ____

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

312.50

Step-by-step explanation:

8 , 20 , 50, 125 , 312.50

First term, a = 8

Second term, ar = 20

Find common ratio, r

Substitute a = 8 into second equation

ar = 20

8r = 20

r = 20/8

r = 2.5

Find the fifth term

ar⁴

= 8 * 2.5⁴

= 8 * 39.0625

= 312.50

Fifth term, ar⁴ = 312.50

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When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing
OleMash [197]

Answer:

8+15+32+45= 100 minutes, or an hour and 40 minutes

6 0
2 years ago
Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field
Svetllana [295]

She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

Cost of tickets = $771

Cost of one child ticket = $9

Cost of one adult ticket = $15

Let,

Child ticket = x

Adult ticket = y

According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3\\

Subtracting Eqn 3 from Eqn 2;

(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\

Dividing both sides by 6;

\frac{6y}{6}=\frac{114}{6}\\y=19

Putting y=19 in Eqn 1

x+19=73\\x=73-19\\x=54\\

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/3227215
  • brainly.com/question/3269852

#LearnwithBrainly

4 0
3 years ago
Which expression is equal to 5^4 ⋅ 5^8?
alex41 [277]

It should be A. You would keep the 5, and the exponent should be 4+8, which is 12.

3 0
3 years ago
Read 2 more answers
Can anyone help me out?
Lana71 [14]

Answer:

3y= -42

y= -14

Step-by-step explanation:

3y= -42

-42/3= -14

y= -14

3 0
2 years ago
Answer choices: <br><br> 16/3<br> 40/9<br> 4/9<br> 4/3
son4ous [18]

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of x, we can rewrite the equation replacing the variables.

\frac{2}{3}^{2} + 3*\frac{2}{3} - 2

Now solve. While solving, remember the order of operations.

\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444 or \frac{4}{9}

3 0
2 years ago
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