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Zolol [24]
4 years ago
10

Look at the system of equations below.

Mathematics
1 answer:
Paul [167]4 years ago
7 0

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=2,\:y=-1

Step-by-step explanation:

Considering the system of the equation

\begin{bmatrix}y=-2x+3\\ 4x-3y=11\end{bmatrix}

\mathrm{Subsititute\:}y=-2x+3

\begin{bmatrix}4x-3\left(-2x+3\right)=11\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:4x-3\left(-2x+3\right)=11

4x-3\left(-2x+3\right)=11

4x+6x-9=11

10x-9=11

10x-9+9=11+9

10x=20

x=2

\mathrm{For\:}y=-2x+3

\mathrm{Subsititute\:}x=2

y=-2\cdot \:2+3

y=-1

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=2,\:y=-1

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2. Armand is planning a crawfish boil for the weekend. Crawfish are like tiny lobsters, about 3 to 4 in. long. They are especial
vivado [14]

Hi there!

Here's the important information we know:

10 lbs of crawfish → 24 oz of seasoning


a) To answer the question in a, you will need to use the cross product method:

10 lbs of crawfish → 24 oz of seasoning

1 lbs of crawfish → X oz of seasoning


24 ÷ 10 = X oz of seasoning

2.4 = X oz of seasoning


Answer a) : This means that 1 lb of crawfish requires 2.4 oz of seasoning.


b) We now know that for 1 lb of crawfish you need 2.4 oz of seasoning, so in order to know how much seasoning you need for 30 lbs of crawfish, you need to multiply 2.4 by 30 :

2.4 × 30 = 72


Answer b): You would need 72 oz of seasoning for 30 lbs of crawfish.


c) We know that for 1 lb of crawfish you need 2.4 oz of seasoning, so in order to know the maximum number of pounds of crawfish that can be cooked with 36 oz of seasoning, you need to divide 36 by 2.4 :

36 ÷ 2.4 = 15


Answer c): You can cook a maximum of 15 pounds of crawfish with 36 oz of seasoning.


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
Find the sale price of the item. Round to two decimal places if necessary.
Angelina_Jolie [31]

Answer:

$131.71

Step-by-step explanation:

Given:

Original price: $234.45

Markdown: 78%

---------------------------------------------------------------------------

Actual Selling Price: 131.71

Markdown: 102.74

-------------------------------------------------------------------------

7 0
3 years ago
Can yall plz help and show work
melisa1 [442]

Answer:

#4: ≤

Step-by-step explanation:

5 0
3 years ago
I am wondering Jake finished race at 24.53 18.44 Lacie finished the race at 18.44. What is the difference between Lacie's time a
Dvinal [7]

Answer:

The difference between the times is just 6.09

Step-by-step explanation:

Here, we are interested in finding the difference between the times when two athletes finished their races.

While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;

Mathematically, that would be 24.53 - 18.44 = 6.09

4 0
3 years ago
Gas price dropped to 2.84 today yesterday’s price was 2.90 find the percentage decrease
IRISSAK [1]
Well, yesterday was 2.90 and today is 2.84, it dropped 6 pennies or $0.06.

now, if we take 2.90 to be the 100%, how much is 0.06 off of it in percentage?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2.90&100\\
0.06&p
\end{array}\implies \cfrac{2.90}{0.06}=\cfrac{100}{p}\implies p=\cfrac{0.06\cdot 100}{2.90}
4 0
3 years ago
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