Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e 
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e 
-------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex
Answer:
A = 153.94 ft^2
Step-by-step explanation:
Answer:
After simplifying we get (x,y) as (1,3).
Step-by-step explanation:
Given:
,
We need to use elimination method to solve the and simplify the equations.
Solution;
Let ⇒ equation 1
Also Let 
⇒ equation 2
Now by solving the equation we get;
first we will Add equation 2 from equation 1 we get;
Now Dividing both side by 5 using division property of equality we get;
Now Substituting the vale of x in equation 1 we get;
subtracting both side by 1 using subtraction property of equality we get;
Now Dividing both side by 7 using division property of equality we get;
Hence we can say that, After simplifying we get (x,y) as (1,3).
For these problems you have to use PEMDAS so for problem 15 you would do the parentheses first, (21-3) you get 18 and then exponents, 3^2, you get 9, no multiplication but there is division so take your answers, 18 and 9 and divide them, you get 2, so the answer to 15 is 2.
