Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
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Answer:
I need the rest of the question
Step-by-step explanation:
Sorry I want to help you but I cant unless there is a (example): 12+-3= n/4 -12.4
or a list of options to choose from like what will equal 6? A.2 B.3 C.100 D.9
if you give me the rest I can solve, thanks :)
The true statements about the triangles RST and DEF are: (a), (d) and (e)
<h3>How to determine the true statements?</h3>
The statement ΔRST ≅ ΔDEF means that the triangles RST and DEF are congruent.
This above implies that:
- The triangles can be mapped onto each other by rigid transformations such as reflection, translation and rotation
- The transformation does not include dilation
- Corresponding sides are congruent
The above means that the possible true statements are: (a), (d) and (e)
Read more about transformation at:
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Answer: See explanation. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:
604 - 460 = 144
144 divided by 18 =
8
Therefore, the rate of change is 8. We can even go further to create an equation for this:
y intercept = 460 (because 0 multiplied by the rate of change would be 0).
slope = 8
Slope-intercept form: y = mx + b --> y = 8x + 460
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When they are the exact same, like carbon copies
