Answer:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
Step-by-step explanation:
Let us represent:
The number of liters for :
Acid solution a = x
Acid solution b = y
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.
x + y = 40 ...... Equation 1
x = 40 - y
25% × x + 50% × y = 45% × 40
0.25x + 0.5y = 18...... Equation 2
We substitute, 40 - y for x in Equation 2
0.25(40 - y)+ 0.5y = 18
10 - 0.25y + 0.5y = 18
- 0.25y + 0.5y = 18 - 10
0.25y = 8
y = 8/0.25
y = 32 Liters
Solving for x
x = 40 - y
x = 40 - 32
x = 8 Liters.
Hence:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
A^2+b^2= c^2
16^2+ 28^2= c^2
square root of 256+784 = square root of 1,040
32.25=32.25
C= 32.25
Answer:
John
Step-by-step explanation:
70 mi/(60 min) ≈ 1 1/6 mi/min.
1 1/6 miles is significantly farther than 50 ft, so John is driving (much) faster.
D=rt
r=(boatrate+riverrate)=(x+2)mph
d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so
1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)
Answer:
16m^2 + 72m + 81
Step-by-step explanation:
you expand it, by (9+4m)(9+4m), using distributive property you get
81 + 36m + 36m + 16m^2, simplifying you get the answer
