Answer:
286
Step-by-step explanation:
If the three-digit number is xyz, then:
x + y + z = 16
y = z + 2
z = 3x
Substitute the third equation into the second:
y = 3x + 2
Substitute this and the third equation into the first:
x + (3x + 2) + (3x) = 16
7x + 2 = 16
7x = 14
x = 2
y = 3x + 2 = 8
z = 3x = 6
The number is 286.
2 + d = 2 - 3(d- 5) - 2
First, cancel 2 on both sides. / Your problem should look like:
Second, expand. / Your problem should look like:
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like:
Fourth, add 3d to both sides. / Your problem should look like:
Fifth, add d + 3d to get 4d. / Your problem should look like:
Sixth, divide both sides by 4. / Your problem should look like:
Answer as fraction:
Answer as decimal:
The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile the entire trip.
<span>2.5<span>(<span><span>6x</span>−4</span>)</span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span><span>x
</span></span><span><span><span><span>(2.5)</span><span>(<span>6x</span>)</span></span>+<span><span>(2.5)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span>x</span></span>(Distribute)<span><span><span><span>15x</span>+</span>−10</span>=<span>30x
</span></span><span><span><span>15x</span>−10</span>=<span>30<span>x
</span></span></span><span><span><span><span>15x</span>−10</span>−<span>30x</span></span>=<span><span>30x</span>−<span>30x</span></span></span><span><span><span>−<span>15x</span></span>−10</span>=<span>0
</span></span><span><span><span><span>−<span>15x</span></span>−10</span>+10</span>=<span>0+10</span></span><span><span>−<span>15x</span></span>=<span>10
</span></span><span><span><span>−<span>15x</span></span><span>−15</span></span>=<span>10<span>−15</span></span></span><span>x=<span><span>−2</span><span>3
</span></span></span>Answer:<span>x=<span><span>−2</span><span>3</span></span></span>
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