Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells
Answers
Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be:
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
Final answer:
In order to find out when Katie will have over 100 seashells, we use the equation 34 + 12d > 100. After simplifying, the inequality is d > 5.5. So, it will take Katie over 5.5 days to collect over 100 shells.
Explanation:
The question states that Katie already has 34 seashells and finds 12 more each day. This can be represented by the equation 34 + 12d, where d represents the number of days. In order to find out when Katie will have more than 100 seashells, we need to set this equation greater than 100 and solve for d.
So, 34 + 12d > 100. If we subtract 34 from both sides, we get 12d > 66. Then, divide both sides by 12 to solve for d. d > 66/12. The value of d in this case turns out to be approximately 5.5.
This means it will take Katie slightly over 5.5 days to collect over 100 seashells, given that she can use fractions of days to find seashells.
Learn more about Inequality here:
#SPJ2
Related Questions
Practice simplifying rational expressions with negative exponents.
Mrs. Hall records the heights of 50 students in a spreadsheet. The mean height is 68 inches. After looking at the data again, she realized that two of the 50 observations were outliers that must have been typos, 82 and 86 inches. She deleted these two observations. What is the new mean, rounded to the nearest hundredth?
What is fifty two percent of seventy nine
Round 3,989.23655 to the nearest thousandth.
7:58 am 4:49 pm
7:46 am 4:41 pm
8:23 am 4:50 pm
7:31 am 4:32 pm
How many hours did she work?
44.25
45
50
55.25
Answers
7:58 am 4:49 pm = 8 hrs 51 mins
7:46 am 4:41 pm = 8 hrs 55 mins
8:23 am 4:50 pm = 8 hrs 27 mins
7:31 am 4:32 pm = 9 hrs 01 mins
Total = 44 mins 24 mins
Answer:
the Answer is 44.25
Step-by-step explanation: took the test
Answers
Answer:
It would take 90 hours to fill the pool.
Step-by-step explanation:
There is a mistake in the question so it is corrected below:
An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool?
Now, to find the hours would it take to fill the 1/4 pool.
Let the hours it take to fill the pool be
A swimming pool can be used to fill the pool in 40 hours.
So, the rate of filling the pool = .
As, given the drain pipe can be used to empty the pool in 45 hours.
Thus, the rate of draining the pool = .
According to question:
Using cross multiplication:
Dividing both sides by 20 we get:
Therefore, it would take 90 hours to fill the pool.
Answers
I hope I helped! =D
Answers
2x + 3y = 1
y = x - 8
2x + 3y = 1
2x + 3(x-8) = 1
2x + 3x - 24 = 1
5x = 1 + 24
5x = 25
5x/5 = 25/5
x = 5
y = x - 8
y = 5 - 8
y = -3
x = 5 ; y = -3
2x + 3y = 1
2(5) + 3(-3) = 1
10 - 9 = 1
1 = 1
Answers
Metaphor
a figure of speech in which a word or phrase is applied to an object or action to which it is not literally applicable.
The answer is: metaphor.
Given: Isosceles trapezoid TRAP with TR=PA
Prove: Angle RTA = angle APR