Answer:
See explanation
Step-by-step explanation:
Todd has a new spool of wire. He needs 48 pieces of wire, each 22 feet long. He estimates that he needs 50×20=1000 feet, and he concludes that 1 spool with 1000 feet will be enough.
Actually, Todd is incorrect because in his estimation he took 2 more pieces than he needed of the length 2 feet shorter that he needed. The total length may appear smaller. Check this:
So, Todd shouldn't use multiplication 50×20=1000 to estimate the total amount of wire he needs.
<h3><u>
x - 3y = -6</u></h3><h3><u>
2x - y = 3</u></h3><h3><u>
-3y + x = -6 y + 2x = 3 </u></h3><h3><u>
</u></h3><h3><u>
</u></h3><h3><u>
</u></h3><h3><u>
</u></h3><h3><u>
Solve by Substitution :</u></h3><h3><u>
// Solve equation [1] for the variable x </u></h3><h3><u>
</u></h3><h3><u>
</u></h3><h3><u>
[1] x = 3y - 6</u></h3><h3><u>
</u></h3><h3><u>
// Plug this in for variable x in equation [2]</u></h3><h3><u>
</u></h3><h3><u>
[2] 2•(3y-6) - y = 3</u></h3><h3><u>
[2] 5y = 15</u></h3><h3><u>
// Solve equation [2] for the variable y </u></h3><h3><u>
</u></h3><h3><u>
</u></h3><h3><u>
[2] 5y = 15 </u></h3><h3><u>
</u></h3><h3><u>
[2] y = 3 </u></h3><h3><u>
// By now we know this much :</u></h3><h3><u>
</u></h3><h3><u>
x = 3y-6</u></h3><h3><u>
y = 3</u></h3><h3><u>
// Use the y value to solve for x </u></h3><h3><u>
</u></h3><h3><u>
x = 3(3)-6 = 3 </u></h3><h3><u>
Solution :</u></h3><h3><u>
{x,y} = {3,3} </u></h3>
<u></u>
<u>-FrxziteTheLxoser- Hoped this help! :)</u>
<u>If you dont understand the answer is {x,y = {3,3} </u>
It's the first one because the other three go pasted -6 which would make the problem not true.
Since 2.5% as a decimal is .025, the equation to get this is:
(.025)(80000)
Once multiplied, these equal 2,000. Or in other words, the Smiths pay $2,000 in school taxes per year.
3(r-16)=9
3r-48=9
3r=57
r=19
