9514 1404 393
Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...
1.00x +0.75(250 -x) = 0.90(250)
0.25x +187.5 = 225 . . simplify
0.25x = 37.5 . . . . . . . . subtract 187.5
x = 150 . . . . . . . . . . . . . divide by 0.25
(250 -x) = 100 . . . . mL of 75% solution
You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.
Answer:
x >13/9
Step-by-step explanation:
(1/4)(5x−3) > (1/2)x + (1/3)
Distribute
5/4x - 3/4 > 1/2x + 1/3
Multiply each side by 12 to get rid of fractions
12*5/4x -12* 3/4 >12* 1/2x +12* 1/3
15x -9 > 6x +4
Subtract 6x from each side
15x-6x-9 > 6x-6x+4
9x -9> 4
Add 9 to each side
9x-9+9 > 4+9
9x > 13
Divide by 9
9x/9 >13/9
x >13/9
Answer:
15 dimes and 14 quarters.
Step-by-step explanation:
Let q represent number of quarters and d represent number of dimes.
We have been given that a collection of dimes and quarters contains 29 coins. We can represent this information in an equation as:
We know each dime is worth $0.10 and each quarter is worth $0.25.
We are also told that the total value of coins is $5. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, there are 15 dimes in the collection.
Upon substituting in equation (1), we will get:
Therefore, there are 14 quarters in the collection.
the next two numbers in this pattern is 62,248...
-2-(-4)
-2+4
2
You have to put the two negatives together because they become positive.
