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Arte-miy333 [17]
2 years ago
5

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown? Equation

I: 4x − 5y = 4 Equation II: 2x + 3y = 2 Group of answer choices Substitution; equation II can be solved for x in one step by subtracting 3y from both sides. Substitution; equation I can be solved for x in one step by dividing both sides by 4. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II. Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.
Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0

Answer:

* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

Step-by-step explanation:

Equation I: 4x − 5y = 4

Equation II: 2x + 3y = 2

These equation can only be solved by Elimination method

Where to Eliminate x :

We Multiply Equation I by a coefficient of x in Equation II and Equation II by the coefficient of x in Equation I

Hence:

Equation I: 4x − 5y = 4 × 2

Equation II: 2x + 3y = 2 × 4

8x - 10y = 20

8x +12y = 6

Therefore, the valid reason using the given solution method to solve the system of equations shown is:

* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

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9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
Sladkaya [172]
Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).


5 0
2 years ago
The area of a rectangular banquet call is 7400 ft.². The length of one side of the hall is 82 feet. Explain how you can use comp
kiruha [24]

Answer:

Compatible width of rectangular banquet hall could be 90 feet approximately.

Step-by-step explanation:

Given

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

We need to calculate width of the rectangular banquet hall.

Now Area of rectangle is equal to length times width.

Framing in equation form we get;

Area\ of \ Rectangle= length \times width

Substituting the given values we get;

82 \times width = 7400\\\\width = \frac{7400}{82} = 90.2439

Now by definition of Compatible numbers which state that:

"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.  Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."

Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.

Hence we can say compatible width could be 90 feet approximately.

5 0
2 years ago
What is the value of (5x²)³ + 16y divided by 4y for x=2 and y=3
Inessa05 [86]

Answer:

30 2/3

Step-by-step explanation:

First multiply the two exponents

Second solve 2^6

Third multiply 64 times 5 = 320

Then multiply 16 times 3

Then add sums together 368

Lastly multiply 4 times 3 then divide 368 by 12

I hope this helps :)

6 0
2 years ago
Draw a model to show 5.5/5
REY [17]
I don't understand the question you are asking sorry.
7 0
2 years ago
Round to the nearest benchmark fraction 5/9
Stells [14]
1/2 because 5/9 is equivalent to 10/18. Half of 18 is 9 and 10 is close to 9 so the nearest benchmark fraction you should round to is 1/2. Hope this helps you!
5 0
2 years ago
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