Select all the equivalent ratios of 8:12... 7:21 20:30 5:15 2:3 16:24 and 1:3

Mathematics

1 answer:

Bond [772]3 years ago

4 0

8:12 is 2/3 and so is 16:24, 2:3, and 20:30

Step-by-step explanation:

For example (includes simplified problem solving),

8 ÷ 4 = 2

12 ÷ 4 =3

You would want to divide the numerator and denominator by the greatest common factor (GCF)

The ratio 8:12 can be reduced to its lowest terms by dividing both terms by the GCF

Therefore 8:12 is 2:3

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The following system has a solution: x=10, y=-3, z=14

wolverine [178]

<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether $x=10, \ y=-3, \ z=14$ is the solution to this system, that is, the ordered triple $P(x,y,z)$ where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

$First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation$