Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
24 sqrt 3
This can be answered using simple logic. The questions is asking for the length of the hypotenuse. The hypotenuse is the biggest side. solve for all the answers to find your answer.
It should be noted that organization was important in the thought process and calculation for an accurate solution.
<h3>What is problem solving?</h3>
It should be noted that problem-solving enables us to identify and exploit opportunities in the environment and exert control over the future.
In this case, problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations
Also, good problem solving activities provide an entry point that allows all students to be working on the same problem.
In this case, the open-ended nature of problem solving allows high achieving students to extend the ideas involved to challenge their greater knowledge and understanding and problem solving develops mathematical power.
Learn more about problem solving on:
brainly.com/question/23945932
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