If you add <em>x</em> gal of the 18% mixture, each gallon adds 0.18 gal of salt, so <em>x</em> gal would add 0.18<em>x</em> gal of salt.
The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.
The total volume of the new mixture would be (15 + <em>x</em>) gal. To achieve a 7% concentration of salt, you would need to add <em>x</em> gal of the 18% mixture such that
(amount of salt) / (total volume) = (0.3 + 0.18<em>x</em>) / (15 + <em>x</em>) = 0.07
Solve for <em>x</em> :
0.3 + 0.18<em>x</em> = 0.07 (15 + <em>x</em>)
0.3 + 0.18<em>x</em> = 1.05 + 0.07<em>x</em>
0.11<em>x</em> = 0.75
<em>x</em> = 0.75 / 0.11 ≈ 6.82 gal
Answer:
d. 180
Step-by-step explanation:
60white
30blue
90red
180 total flowers
Let's look at the description for g(x) first. On the left we have the input (like the horizontal axis on a graph) and on the right is the output, or the value of the function (the vertical axis on a graph). If you look on that right list,<span> the highest number is 8. This is the maximum value of g(x).</span> Now we have to compare this to f(x). Looking at f(x), it's an upside-down parabola (like a frown), with starts at 9 on the vertical axis and goes down from there. You can see this if you think about plugging in x=0. Then f(0)=9. If you plug in any other number for x, it gets squared, then multiplied by -5, o you have 9 + [negative number], which will be less than 9. <span>So the maximum value for f(x) is 9. Since 9 is 1 unit larger than 8 (the max for g(x))</span>
9514 1404 393
Answer:
4 : 3
Step-by-step explanation:
The ratio of numbers of students is ...
hot dog : hamburger = 16 : 12 = 4 : 3
__
To reduce the ratio to lowest terms, remove the common factor of 4 from each number. 16 = 4·4; 12 = 4·3.
Answer:
I do not know what an assymptope is but..
Step-by-step explanation:
If you mean an asymptote, it means: a line that continually approaches a given curve but does not meet it at any finite distance
