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Dafna11 [192]
3 years ago
12

Determine whether the statement is true or false.

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

True

Step-by-step explanation:

The negative power property of exponents says that:

x^{-n}=\frac{1}{x^n}

And vice versa:

\frac{1}{x^{-n}}=x^n

Therefore, since our exponent is negative, we can change it to positive if we put it in the numerator. In other words:

\frac{1}{3^{-4}}=3^4

The statement is true.

amid [387]3 years ago
5 0

Answer:

False

Step-by-step explanation:

1/3^4=3^4

0.012346≠81

False

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Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh
pashok25 [27]
You have some unknown integer n, and you know that adding this and the next two integers, n+1 and n+2, gives a total of 57.

This means

n+(n+1)+(n+2)=57

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To find n, solve the equation above:

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3 years ago
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Find the product in its simplest form<br><br> 2/5 * 3/7
Mamont248 [21]

Answer:

6/35

Step-by-step explanation:

I just used my calculator...

6 0
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An online retailer sells two packages of protein bars.
krok68 [10]
In order to find the price per bar, we divide the price by the amount of bars.  For the first one:

15.37/10 = $1.54 per bar

The second package:

15.35/12 = $1.28 per bar.

The 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar.  The 12-pack has the better price per bar.

Now, let's look at the price per ounce.  We do this in a similar way.  We find the total amount of ounces in the package, and divide the price by the number of ounces.

In the first package, we multiply 10*2.1=21.  We have 21 ounces in the first package.  Now we divide 15.37/21.  In the first package, we have 0.73 dollars per ounce.

Now, let's look at the second package.  We start by multiplying 1.4*12=16.8.  There are 16.8 ounces in the package.  Now, we divide 15.35/16.8=0.91.  So, in the second package, we have 0.91 dollars per ounce.

The cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91.  The first package has the better price per ounce.

The better explanation is the second one, because I prefer the lower price per ounce, I think that the 1st pack is the better buy.
5 0
3 years ago
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