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evablogger [386]
3 years ago
11

the price of an item has been reduced by 5%. the original price was $60. what is the price for the item now

Mathematics
2 answers:
natita [175]3 years ago
6 0

I believe the answer is 57

emmasim [6.3K]3 years ago
3 0

The new price for the item is $57. To figure this out, figure out what 5% of 60 is, by multiplying 60 and .05. You get 3 now. Subtract 3 from 60, and you get 57. I hope this helps! Could I possibly get brainliest?

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Steve washed 15 cars in 3 hours.how many cars can he wash in 7 hours?
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Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Minchanka [31]
<h3>Answer:  12</h3>

==============================================================

Explanation:

The two integers multiply to 36, so,

ab = 36

which solves to

a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

So the input x = 6 leads to the smallest output f(x) = 12.

This in turn means b = 6 is going to pair with a = 36/b = 36/6 = 6.

In short, a = 6 and b = 6.

----------------------

As a check,

a*b = 6*6 = 36

a+b = 6+6 = 12

We can make a table of various values to help confirm that 12 is the smallest sum.

Side note: If you're not allowed to use a graphing calculator, then you'll need to use calculus.

8 0
2 years ago
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