X represents nickels
y represents dimes
x+y=29
5x+10y=210
multiply the first equation by -5 (elimination method)
-5x-5y=-145
then add the two equations together
5y=65
divide 5 from both sides
y=13
13 dimes
Answer:
$7.10
Step-by-step explanation:
Step 1: We make the assumption that 35.5 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=35.5$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=35.5(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
Step 7: Taking the inverse (or reciprocal) of both sides yields
Hope this helps <3
Let's solve your equation step-by-step.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−<span>30
</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−30</span></span>
<span>Simplify: (Show steps)</span><span><span><span>−<span>5x</span></span>+20</span>=<span>−<span>30
</span></span></span>Step 2: Subtract 20 from both sides.<span><span><span><span>−<span>5x</span></span>+20</span>−20</span>=<span><span>−30</span>−20</span></span><span><span>−<span>5x</span></span>=<span>−<span>50
</span></span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>=<span><span>−50</span><span>−5</span></span></span><span>x=<span>10
</span></span>Answer:<span>x=<span>10</span></span>
For this case we must find
By definition we have to:
We have the following functions:
Now, applying the given definition, we have:
Answer:
40%=0.4
0.4+1=1.4
4.5(1.4)=6.3
The answer is $6.30
