175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
Answer:
Step-by-step explanation:
y = -x + 1......same as y = -1x + 1.....in y = mx + b form, ur slope is in the m position....so the slope of this line is -1.
a parallel line will have the same slope.
(-1,3)...x = -1 and y = 3
slope(m) = -1
y = mx + b.....we have x,y, and m....now we need to find y int (b)
3 = -1(-1) + b
3 = 1 + b
3 - 1 = b
2 = b
so ur parallel equation is : y = -1x + 2...or just y = -x + 2
On-proportional linear relationships can be expressed in
the form y = mx + b, where b is not 0, m represents the constant rate of change
or slope of the line, and b represents the y-intercept. The graph of a non-proportional
linear relationship is a straight line that does not pass through the origin.
Answer:
Step-by-step explanation: dont work sorry
Answer:
p = 8
Step-by-step explanation:
Let one root of the eqn. be alpha . Other root is 1/alpha .
We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.
Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )
