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Alex Ar [27]
3 years ago
5

In the system of equations shown, a is the coefficient of x. The system has infinitely many solutions. What is the value of a? x

– 2y = 4 ax– 6y = 12
Mathematics
1 answer:
damaskus [11]3 years ago
7 0

x – 2y = 4

ax– 6y = 12

The second equation must has a value for a that makes the second equation equal to the first. In other words a has to be something that divides through the second equation to get the first.

The easiest way to proceed is to look at the right hand side. One equation has 12 on the right. The other has 4. What do you have to do to 12 to get it down to 4. I suppose you could subtract 8, but that would not apply to the left side.

The answer is divide 12 by 3.

If you do that then the 6 is divided by 3.

Find a

Now you need to consider a's value. It is either 1 or 3. If you choose 1, you will not be able to divide properly: dividing by 3 will leave you with 1/3.

The thing you must do is make a = 3

The second equation then becomes

3x - 6y = 12   Divide everything by 3

x - 2y = 12/3 = 4

Answer: a = 3

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Roberto must make his costume for the school play. He needs a piece of fabric that is 2 and 2/3 yards long and 1 and 1/2 yards w
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Answer:

4 yd².

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 2⅔ yards

Width (W) = 1½ yards

Area (A) =.?

The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:

Area (A) = Length (L) × Width (W)

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3 years ago
I need help with this problem because to me none of these answers are correct. There's no option for a written answer, so it mak
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the inequality below compares two rational numbers -6/18-17/27 if two numbers were plotted as values on a horizontal number line
Lyrx [107]

Correct question is;

The inequality below compares two rational numbers.

-6/18 > -17/27

If the two numbers were plotted as values on a horizontal number line, which statement would be true?

A) Both numbers lie to the right of 0, and −6/18 lies to the left of −17/27

B) Both numbers lie to the left of 0, and −6/18 lies to the left of −17/27

C) Both numbers lie to the right of 0, and −6/18 lies to the right of −17/27.

D) Both numbers lie to the left of 0, and −6/18 lies to the right of −17/27

Answer:

Option D

Step-by-step explanation:

In writing inequality on a number line, any number that is negative will lie to the left of zero while any number that is positive will lie to the right of zero.

Now in this case they are both negative, so they will lie to the left of zero.

Also, the number that is greater will lie to the right of the lesser number.. In this case -6/18 > -17/27. Thus, -6/18 will lie to the right of -17/27

Thus, option D is correct

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