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3 years ago

23 kg of potatoes cost $138. How much would 7 kg cost? lol i haven't done this in a while and there just now telling us to do it

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Answer:

$42

Step-by-step explanation:

138/23 = $6 per kg

6*7 = 42

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

REDRAGON<br>bad product lol

AfilCa [17]

Answer:

thanks for the points

Step-by-step explanation:

have a nice day ahead

8 0

2 years ago

Read 2 more answers

A retailer spends $25 on a new video game. They have to pay 7.5% sales tax on

shepuryov [24]

Answer:

The tax is $1.88

Step-by-step explanation:

7.5% = 0.075 (divide by 100)

0.075 * $25 = 1.875 or $1.88

7 0

3 years ago

What’s better Takis or Cheetos?!

lawyer [7]

Answer:

Takis in my opinion :))))))

7 0

3 years ago

I need help with these 2

Slav-nsk [51]

Answer:

Step-by-step explanation: Hey for the second one I got y = -3/4x -0.5 I'm not sure if its correct though sorry if not
ill try my best to explain my solution though
1. From the parallel equation (3x + 4y = 12) all we need to do is find the slope

So the easiest way to do so is to put the said equation in <u>y-intercept </u>form

y=mx +b
m= slope

b= y intercept

so 1. 3x + 4y = 12

4y = 12-3x

divide that by 4 to get only y

y=3-3/4x

-3/4 is our slope

y=-3/4x+b

than we have a point -2, -2

if we put -2 for y

-2=-3/4x+b

and then we put our -2 for x
-2 = -3/4 * -2 + b

-2 = -1.5 +b
b=-0.5

Answer : y=-3/4x-0.5

4 0

1 year ago