<u>old:</u> $16
<u>new:</u> $20
<u>percent increase</u>
-> formula: (new-old / old) x 100
(20-16 / 16) x 100
4/16 x 100
0.25 x 100
answer: 25% increase
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
The volume formula for a cone is V = 1/3 pi r^2 h. We have everything we need to find the volume. V = 1/3 pi 28^2* 44. Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed. If you multiply pi in, the answer would be 36,123.06 units cubed.
Answer:
In triangle ABC, angle B is obtuse.
Step-by-step explanation:
The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.
9514 1404 393
Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.
