You flip the signs when you are dividing by a negative value.
-2x+3>15
-2x>15-3
-2x>12
x<12/-2
x<-6
Now to test this
Try putting x in the original equation when it is -5.
-2(-5)+3>15
10+3>15
13>15
This is false because our answer says x is less than -6.
Now any value less than -6 will work so let's go with -7.
-2(-7)+3>15
14+3>15
17>15
This result is True.
Hope this helps out!
Answer:
11.93
Step-by-step explanation:
Order of Operations rules require that we do the division first:
-0.48 48
-------- = --------- = 0.3
-1.6 1600
Then we combine 11.68 ad 0.3, obtaining 11.93.
Hello!
Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>
(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>
1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>
(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>
1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>
1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>
−<span>3x</span></span>+3</span>=<span>−9</span></span>
Step 3: Subtract 3 from both sides.<span><span><span><span>
−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>
−<span>3x</span></span>=<span>−12</span></span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>
x=<span>4
Hope this helps! Cheerio, and have a lovely day!</span></span>
Answer:
There are 20 boys
Step-by-step explanation:
Answer:
2a - b = 5
Step-by-step explanation:
4a - 2b = 10
take out the highest common factor of the left side
2(2a - b) = 10
divide both sides by two
2a - b = 10/2
2a - b = 5
