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mamaluj [8]
3 years ago
15

Using orders of operations 52 + (6×3)÷9 −7

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

47

Step-by-step explanation:

1 ) Simplify 6×3  to  18.

52+18÷9−7

2) Simplify 18÷9  to 2.

52+2-7

3) Simplify  52+2 to 54.

54-7

4) Simplify.

47

Therefor, the answer is, 47.

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B is the 5

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Which of the following equations uses the commutative property of addition to rewrite 1/3 + 2/5?
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The commutative property states that you can invert the order of the terms of a sum:

a+b=b+a

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\dfrac{1}{3}+\dfrac{2}{5}

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\dfrac{2}{5}+\dfrac{1}{3}

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Which relation is a function?
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3. no

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Step-by-step explanation:

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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

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

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
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