Answer:
9 Liters
Step-by-step explanation:
Let us represent:
The number of liters of the 30% salt solution = x
Number of liters for the 80% solution = 6 Liters
Number of liters for the 50% solution = x + 6 Liters
Hence:
x × 30% + 6 × 80% = (x + 6)50%
0.3x + 4.8 = 0.5x + 3
Collect like terms
4.8 - 3 = 0.5x - 0.3x
1.8 = 0.2x
x = 1.8/0.2
x = 9 Liters
Therefore, the number of liters for the 30% Salt solution = 9 Liters
Answer:
a. 41.5
b, 26.5
Step-by-step explanation:
a.
2x + 6 = 180
2x = 172
x = 86
b.
2x+ 90 +26+11 = 180
2x+127 = 180
2x = 53
x = 26.5
Answer:
1.325 x 10 -2
Step-by-step explanation:
That is the answer and I know 100% that it is correct
Step-by-step explanation:
The length of a rectangular patio is 4 feet less than three times it's width. The area of the patio is 160 square feet. Find the dimensions of the patio.
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
