Answer:
1A) 2 gallons of 20% solution and 3 gallons 15% solution needed
1B) 4 gallons of 20% solution and 1 gallons 15% solution needed
Step-by-step explanation:
1A) adding 20% salt and 15% water making 5 gallons of 17%
20% salt + 15% salt = 5 gallons of 17% salt
0.20x + 0.15(5 - x) = 0.17(5)
0.20x + 0.75 - 0.15x = 0.85
0.20x + 0.75 - 0.75 - 0.15x = 0.85 - 0.75
0.20x - 0.15x = 0.10
0.05x = 0.10
0.05x/ 0.05 = 0.10/0.05
x = 2 gallons (amount of 20% solution needed)
5 - x = 5 - 2 = 3 gallons (amount of 15% solution needed)
1B)
0.20x + 0.15(5 - x) = 0.19(5)
0.20x + 0.75 - 0.15x = 0.95
0.20x + 0.75 - 0.75 - 0.15x = 0.95 - 0.75
0.20x - 0.15x = 0.20
0.05x = 0.20
0.05x / 0.05 = 0.20/0.05
x = 4 gallons (amount of 20% solution needed)
5 - x = 5 - 4 = 1 gallons (amount of 15% solution needed)
Learn more about System of Equations here: brainly.com/question/12526075
Jonah makes 85,740, which is at least 85,650 but less than 178,650, his tax is 28%. All you have to do is multiply 85,740 by 28% a.k.a .28 and you should get 24,007.2 which is Jonah’s income tax for the year.
Answer:
It is approximately 3.10 miles from Alfonso's house to the movie theater
Step-by-step explanation:
First, identify what you know:
1) Alfonso drove from his house TO the movie theater, and then BACK to his house.
2) Alfonso's odometer shows him that the ENTIRE trip was 10 miles.
If the entire trip was 10 miles, and he only went to the move theater, AND took the same route back, then we simply divide 10 in half! This will give us the distance from his house the the movie theater, or rather, half of the trip, in kilometers.
10/2 = 5 kilometers.
Now, what is 5 kilometers in miles? Well, one mile is equal to 1.60934 kilometers, and one kilometer is equal to 0.621371 miles. So, simply multiply!
5 km x 0.621371 miles = 3.106855
The approximate distance from his house to the theater is 3.10 miles!
Hope this helps! :)
