Answer:
<h2>[a]=x²_6x</h2><h2>[b]=4x²+x</h2><h2>[c]=10x²+8x</h2><h2>[d]15x²_3xy</h2>
Step-by-step explanation:
Here is how I completed the problem:
I started by creating a ratio:
![\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B0.18%7D%20%2B%20%5Cfrac%7B360%7D%7B0.10%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D)
<em>Where 'x' is the desired amount of the 18% solution of sulfuric acid.
</em>From here, I solved for 'x':
<em>
</em>
![\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%7D%7B0.018%7D%20%2B%20%5Cfrac%7B360%280.18%29%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%7D%7B0.018%7D%20%2B%20%5Cfrac%7B64.8%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%2B64.8%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![0.15(0.10x+64.8) = 0.018(x+360)](https://tex.z-dn.net/?f=0.15%280.10x%2B64.8%29%20%3D%200.018%28x%2B360%29)
![0.015x+9.72 = 0.018x+6.48](https://tex.z-dn.net/?f=0.015x%2B9.72%20%3D%200.018x%2B6.48)
![0.003x = 3.24](https://tex.z-dn.net/?f=0.003x%20%3D%203.24)
![x = 1080](https://tex.z-dn.net/?f=x%20%3D%201080)
∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.
Answer:
5 is D
6 is C
Step-by-step explanation:
Define:
Equilateral - All sides and angles are congruent
Isosceles: Two congruent sides and two congruent angles
Scalene: No congruent sides or angles
Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )
obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )
Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )
Answer:
the triangle shown in # 5 has a right angle and 2 congruent sides and angles
Therefore the triangle in #5 is a right isosceles
The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.
Answer:
A and D
Step-by-step explanation:
All you need to do is locate the point (3,1) on the graph and figure out which two lines are intersecting it. In this case it is A and D so that is your solution.