Answer:
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Step-by-step explanation:
If x is the liters of 25% solution, and y is the liters of 10% solution, then:
x + y = 120
0.25x + 0.10y = 0.20(120)
Solve the system of equations using substitution or elimination. Using substitution:
0.25x + 0.10(120 − x) = 0.20(120)
0.25x + 12 − 0.10x = 24
0.15x = 12
x = 80
y = 40
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Answer:
City A: -15
City B: 43
30 is the answer.
Step-by-step explanation:
Answer:
okay he's saying that each student gets 25 points to start with and then they get five more like 25 / 25 * 5 or like 25 + 5 or 25 - 5 like represent those numbers and like get the number or something like that
Answer:
5/13
Step-by-step explanation:
cos=adj/hyp=10/26=5/13
Answer:
6 5/8 - 4 = 21
8
= 25
8
= 2.625
Step-by-step explanation:
Conversion a mixed number 6 5
8
to a improper fraction: 6 5/8 = 6 5
8
= 6 · 8 + 5
8
= 48 + 5
8
= 53
8
To find new numerator:
a) Multiply the whole number 6 by the denominator 8. Whole number 6 equally 6 * 8
8
= 48
8
b) Add the answer from previous step 48 to the numerator 5. New numerator is 48 + 5 = 53
c) Write previous answer (new numerator 53) over the denominator 8.
Six and five eighths is fifty-three eighths
Subtract: 53
8
- 4 = 53
8
- 4
1
= 53
8
- 4 · 8
1 · 8
= 53
8
- 32
8
= 53 - 32
8
= 21
8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 1) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 1 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - fifty-three eighths minus four = twenty-one eighths.
