1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Angelina_Jolie [31]
3 years ago
6

Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o

f 1.5 inches per hour. How many hours would it take to collect 30 inches of rain in the barrel
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

You might be interested in
7>-4; subtract 7 from both sides
motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0
3 years ago
What is 714 divided by 14?
ivanzaharov [21]

Answer:

51

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Read 2 more answers
When the following quadratic equation is written in general form, what is the value of "c"?
Artyom0805 [142]
It will be negative 2,cause your equation is already in general form but we can't have a negative on a, so we should changed it on their opposite sign, so 2 will be negative
8 0
3 years ago
Read 2 more answers
Frank made a New Years resolution to get into better shape. He decides to join LA fitness. He has to pay a one-time enrollment f
professor190 [17]

Answer: an equation that represents the total costs of the gym membership based on the number of months is

y = 25x + 50

Step-by-step explanation:

Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.

Let y represent the total cost of using the gym for x months.

He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be

y = 25x + 50

8 0
3 years ago
Surface area of a triangular prism
jok3333 [9.3K]

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

8 0
2 years ago
Other questions:
  • What is 11 1/3 rounded to the nearest half? ( hurryyy)
    8·1 answer
  • Describe how to solve x^5-2x^3+x=0
    13·1 answer
  • Which systems of equations are best solved using addition?
    7·1 answer
  • Slope intercept form of -2x - 11y = 5
    12·1 answer
  • Alice wants to prove to her parents that listening to music while she does her homework will help her get better grades. She dec
    12·1 answer
  • Please help me find the missing measurement!
    14·2 answers
  • If Madison rides for 5 hours on a bicycle, what is her rate if she rides for 60 miles?
    12·2 answers
  • Need help pls and th x s​
    11·1 answer
  • All vertices must be used once in Hamilton circuits. <br><br> true<br> false
    5·1 answer
  • Plese help me i am very stuck ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!