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Mrac [35]
3 years ago
13

ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 steaks to mark off a rectangular area which s

et of dimensions will create a rectangle using all of the Rope Ashley has with her?
Mathematics
1 answer:
Zanzabum3 years ago
7 0
10 by 60 Would create a rectangle, so would 20 by 50, so would 30 by 40. These would all create rectangles, but the most like a rectangle would be 10 by 60, or 20 by 50. 
10x2=20 60x2=120 120+20=140
20x2=40 50x2=100 100+40=140
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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
2 years ago
(Grade6math) Can somebody plz help answer all of these in simplify form (if u know how to) thanks so much :)
Gemiola [76]
1.= 1
2.= -15
3.= -18
4.= -1
5. = -11
6. = 22
4 0
2 years ago
use 3.14 n for to estimate the area of a circle if the diameter is given on your answer to the nearest hundredth if necessary​
s2008m [1.1K]

Answer: The Answer is pie

Step-by-step explanation:

8 0
3 years ago
Solve by substitution <br> X^2= 2y + 10<br> 3x-y = 9
Viefleur [7K]

Answer:

x=-4\\ x=-2\\ y=-21\\ y=-15

Step-by-step explanation:

x^{2} =2y+10

y=-9+3x

x^{2} =2(-9+3x)+10

x^{2} =-18+6x+10

x^{2} =6x-8

x^{2} -6x+8

x=-4, -2

y=-9+3(-4)

y=-9-12

y=-21

y=-9+3(-2)

y=-9-6

y=-15

8 0
3 years ago
Read 2 more answers
Hi can you make the numbers
elena-14-01-66 [18.8K]
For 44
7x2=14
14+8=22
22x2=44
Is this ok, I hope I helped :)
4 0
3 years ago
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