Step-by-step explanation: To solve this proportion for n, we can use cross products.
Image provided.
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
3 quarters
7 dimes and a nickel
7 dimes and 5 pennies
15 nickles
75 pennies
2 quarters 2 dimes and a nickel
etc.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
The reflection (R) around the line y = 1 is not the point illustrated.
Notice that the original point M (5,-2) is THREE (3) units below the line y=1, therefore when doing the reflection, it should end up THREE units above the y=1 line.
That is, it should end up at the point (5,4 ) and not at (5,3) as is shown in the picture.