Answer:
made a mistake in step 3
Step-by-step explanation:
from step2; 1/3k=15 then making k the subject ,k=15*3 so the value of k will be 45
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
Answer:
Step-by-step explanation:
Before you can answer you have to solve the equation for y.
Y = 9/7 x+8/7
Parallel lines have the same slope so would also be 9/7
Perpendicular lines have opposite reciprocal slope so would be -7/9
Apples : 5 3/4 * 2 1/2 = 23/4 * 5/2 = 115/8 = 14 3/8 lbs
flour : 6 3/4 * 2 1/2 = 27/4 * 5/2 = 135/8 = 16 7/8 cups
margarine : 1/8 * 2 1/2 = 1/8 * 5/2 = 5/16 cups
sugar : 3 5/8 * 2 1/2 = 29/8 * 5/2 = 145/16 = 9 1/16 cups
cinnamon : 2 * 2 1/2 = 2/1 * 5/2 = 10/2 = 5 teaspoons
