Write (48 min to 3hr) as a ratio in its simplest form.

Mathematics

1 answer:

anzhelika [568]3 years ago

3 0

Answer:

4/15 or 4:15

Step-by-step explanation:

We know a ratio is basically for everyone of this we will have a "x" number of the other for example

1:4 or 1:33

In order to solve this, all our data should be in the same unit

so in this case let's work with minutes

48min : 3hr after converting 3hr to min we get...

48min : 180min

now we can simplify this to make this visually easier im going to use a fraction format

48 24 12 4

------- ÷2 ---------- ÷2 -------- ÷3 ----- I can not simplify any further

180 90 45 15

So my answer is 4/15 or 4:15

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For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.

If 165 is m greater than 130, then this means $130 + m = 165$ .

This will also mean that m is 130 less than 165. To solve this, isolate the variable and subtract 130 from both sides:

$130 - 130 + m = 165 - 130$

We will end up with m = $35. To prove this, plug 35 into the m value as shown below:

$130 + (35) = 165$ , so the answer is $35 more is needed.

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Answer:

D. Both functions are decreasing at the same average rate on that interval

Step-by-step explanation:

The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.

Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.