Solve this multi step equation: 8a + 2(1 - 5a) < 20 (dash under <)

2 answers:

6 0

Distribute 2(1-5a)
8a+2-10a<20
Combine like terms
-2a+2<20
Subtract 2 from both sides
-2a<18
Divide both sides by -2, when dividing by a negative number flip the sign
So the answer is a>-9

Citrus2011 [14]4 years ago

5 0

Okay. Basically, a is greater than or equal to 9.
First, you do distribute the 2.
8a+2-10a(< or =)20
Subtract two on both sides.
8a-10a(< or =)18
Then subtract 10a from 8a
-2a(< or =)18
Divide by two on both sides
and switch around the greater than sign since you divided by a -2
a(> or =)-9
And if you check, -9 works, -8 works, and -10 doesn't work.

You might be interested in

Helpppppp plsssssssss

bekas [8.4K]

Answer:

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

$6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}$