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3 years ago

What is 7 to the 2nd power multiplied by 7 to the 3rd power

Mathematics

2 answers:

e-lub [12.9K]3 years ago

8 0

You change 7 to the 2nd power to 49 since 7 times 7 equals 49
Then you multiply 7x7x7 which you get 343 for 7 to the 3rd power
Then you multiply 343 by 49 which you get 16,807 as the answer.

I hope this helps

inn [45]3 years ago

3 0

The answer is 16807 because 49*343 is 16807.

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Find the slope m of a line perpendicular to a line with known slope −6.

Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

Perpendicular lines have slopes whose product is -1. That is ...

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Step-by-step explanation:

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3 years ago

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there are 3 times as many adults as children at a book fair what is the ratio of people at the book fair

kakasveta [241]

Answer:

1:3

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3 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00

10x + 15y = 333

and we have the linear system

which can be written in matrix form as

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)$

The solution would be given by

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)$

We have

$\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)$

hence

$\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)$

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0

3 years ago