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
Mya is paid $960 a week to walk 20 dogs. If she is paid the same amount to walk each dog , what is the cost to walk one dog each
Sveta_85 [38]
We know that

<span>Mya is paid $960 a week to walk 20 dogs
then
</span>$960/20 dogs-----> $48 for one dog each week

the answer is
the cost to walk one dog each week is $48
7 0
3 years ago
erik drove 439.92 miles on 15.6 gallons of gas. To the nearest hundredth, how many miles could he drive on 39.7 gallons of gas?
Thepotemich [5.8K]
In the question it is already given that Eric drove for 439.92 miles on 15.6 gallons. It is required to find the distance traveled on 39.7 gallons of gas. Also we have to find the answer to the nearest hundredth.
Then,
In 15.6 gallons Eric can drive for a distance = 439.92 miles
In 39.7 gallons Eric can drive for a distance = [(439.92/15.6) * 39.7] miles
                                                                       = 1119.54 miles
So the total distance traveled by Eric is 1120 miles with 39.7 gallons of gas. The answer has been calculated to the nearest hundredth.
6 0
3 years ago
Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. last month, Seth paid a tota
avanturin [10]

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

4 0
2 years ago
Jason solved the following equation to find the value for x.
Ainat [17]
Plug in 6.5 for x.
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78
5 0
1 year ago
Pls help me its for a grade
SVETLANKA909090 [29]

Answer:

D. -9

Step-by-step explanation:

5f - 6f = 9 \\  - f = 9 \\ f =  - 9

7 0
3 years ago
Read 2 more answers
Other questions:
  • Explain why 0.4×10=4<br><br> helpppppppppppppp meeee
    7·1 answer
  • The perimeter of a rectangular garden is
    5·1 answer
  • Determine each of the following.
    15·1 answer
  • The intercepts 9x^2+4y^2=36
    7·2 answers
  • Find the area of the figure and choose the appropriate result.
    9·2 answers
  • Solve using algebreic methods y=x^2+5x, y=7-x
    15·1 answer
  • Ivan and Tanya share £150 in the ratio 4: 1<br> Work out how much more Ivan gets compared to Tanya.
    8·2 answers
  • There are rational numbers that are integers / true or false
    15·1 answer
  • HELP AND QUICKK!!!!
    6·2 answers
  • the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and S
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!