Answer:
3/2
Step-by-step explanation:
Given y = 2x + 5, let's rewrite the equation in terms of x;
y = 2x + 5 => Bring 5 to the other side
2x = y - 5 => Divide either side by 2
x = (y - 5)/2
If we want to take the inverse, simply swap the variable's positions...
We have y = (x - 5)/2
Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1
f^-1(8) = (8 - 5)/2 = 3/2
Solution: 3/2
Answer:
40%
Step-by-step explanation:
Et x = the volume of the 3.5% solution
<span>Let y = the volume 6% solution </span>
<span>(3.5%)x + (6%)y = (4.5%)(200) </span>
<span>0.035)x + 0.06y = 0.045(200) </span>
<span>0.035x + 0.06y = 9 ( Equation 1 )</span>
<span>x + y = 200 ( Equation 2 )</span>
<span>x = 200 - y </span>
<span>Substitute x = 200 - y into equation 1: </span>
<span>0.035x + 0.06y = 9 </span>
<span>0.035(200 - y) + 0.06y = 9 </span>
<span>7 - 0.035y + 0.06y = 9 </span>
<span>0.06y - 0.035y = 9 - 7 </span>
<span>0.025y = 2 </span>
<span>y = 2/(0.025) </span>
<span>y = 80 mL (the volume of 6% solution.)</span>
<span>Substitute y = 80 into equation 2: </span>
<span>x + y = 200 </span>
<span>x + 80 = 200 </span>
<span>x = 200 - 80 </span>
<span>x = 120 mL (the volume of the 3.5% solution.)</span>
<span>Therefore, Mr. Larson should combine 120 mL of the 3.5% solution </span>
<span>and 80 mL of the 6% solution to make 200 mL of 4.5% solution. </span>
<span>Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution
Hope I helped :)</span>
Answer:
32
Step-by-step explanation:
Ever heard of BIDMAS? Brackets Indices Divide Multiply Add Subtract
This shows the order to evaluate the equation.
First you add up the things inside brackets, because B is at the beginning of BIDMAS.
Let’s say you have
(5+3) - (4-2)
You first simplify the brackets.
(5+3) = ?. = 8. Now we have
8 - (4-2)
We still need to simplify the other bracket
(4-2) = ?. = 2.
Now we have 8 - 2.
The answer is 6.
You can do the same for that long equation, just remember the order of operation - BIDMAS.
Let’s pretend the / sign means divide.
Let’s say you have 8 x 4 / 3
The order of operations is BIDMAS - Divide comes before Multiply. Sooooo… we first divide the 4 by 3. (Okay, this was a bad example cause it gives a horrible decimal) it gives us 1.3.
Now we have
8 x 1.3.
Times those together and that’s you answer.
One more example.
8 / 4 x 3
Divide comes first, right? So we divide 8 by 4. And we get 2.
Now we have 2 x 3. Times those together and you have 6!
Now my explaining wasn’t that great, it’s my first time but I really tried hard to help so let me know if you need more explaining, and to what detail.
Always happy to help! :D
