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Inga [223]
3 years ago
6

3x – 4y = -5 y = 4x - 2 Is (1, 2) a solution of the system?

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

Yes, the ordered pair (1, 2) is a solution to the system.

Step-by-step explanation:

The answer can be found quite quickly. Simply substitute the x coordinate of the given pair for <em>x</em>, and the y coordinate of the given pair for <em>y</em>.

The x coordinate is 1 and the y coordinate is 2, so...

3(1) - 4(2) = -5

2=4(1)-2.

Next, simplify:

3-8=-5

This equation is TRUE.

2=4-2

This equation is also TRUE.

Hopefully, this helps in some way!

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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Martina, Jim, and Scott served a total of 121 orders Monday at the school cafeteria. Martina served 6 more orders than Scott. Ji
iris [78.8K]

Answer:

Martina 29, Scott 23 and Jim 69.

Step-by-step explanation:

We are told that:

Martina served six more X orders than Scott (X+6).

So, Scott served X orders.

And Jim served 3 times X order as Scott.

We will have then:

X + (X+6) + 3X = 121

5X + 6 = 121

5X = 121 - 6

5X = 115

X = 115/5

X = 23

So, Scott served 23 orders, Martina 29 and Jim 69.

8 0
3 years ago
Solve for ∡1:
dmitriy555 [2]
It is given that, 20x + 4 + 2x = 180
22x = 180 - 4
x = 176/22
x = 8

So, <span>∡1 = 20(8) + 4 = 160 + 4 = 164

In short, Your Answer would be 164

Hope this helps!</span>
3 0
3 years ago
A right cubic prism has edges of 2 1/2 inches. How
3241004551 [841]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  

8 0
3 years ago
3. Would it be more efficient to use an inequality vo
myrzilka [38]

Answer:

Inequality

Step-by-step explanation:

There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality

4 0
3 years ago
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