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RUDIKE [14]
3 years ago
11

I need help please?!!!

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

(-4,0)

Step-by-step explanation:

Read it in your graph, where the pointe D is.

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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
Please help &lt;3 Thanks!!
iVinArrow [24]

what dou you need?????????

7 0
3 years ago
The balance in Jake's checking account is $45.55. What would happen if he wrote three checks for $20.00 each?
mrs_skeptik [129]

Answer:

Iam not sure but i think its -14.45$

Step-by-step explanation:

45.55-20-20-20

7 0
2 years ago
Ed Moura has $32000 invested in stocks paying 6% .how much additional money should he invest in certificates of deposit paying 3
inna [77]

Answer:

Ed Moura invest $64000 in certificates of deposit paying 3%

Step-by-step explanation:

Ed Moura has $32000 invested in stocks paying 6%.  

Additional money in certificates of deposit paying 3% =x  

so that the average return on the two investments is 4%.  

32000*6% +3%*x = 4%(32000+x)

32000*0.06 +0.03*x = 0.04(32000+ x)

1920 + 0.03x = 1280 +0 .04x

1920 - 1280 = 0.04x - 0.03x

0.01x = 640

x = 64000

x = $64000

x= $64000 in certificates of deposit paying 3%

Thank you.

4 0
3 years ago
Solve for k.<br><br> 9 + 3k = 15<br><br> k =
-Dominant- [34]

Answer:

k = 2

Step-by-step explanation:

subtract 9 from both sides and you have 3k=6

then divide by three on both sides to get 2

7 0
3 years ago
Read 2 more answers
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