Answer:
11 cakes
Step-by-step explanation:
so you know each cup can make 3 cakes so multiply that by 3 then add 2(from the 2/3 cups)
Answer:
c + d = 400
0.2c + 0.5d = 156
Step-by-step explanation:
Let
c = number of liters of 20% acid solution
d = number of liters of 50% acid solution.
c + d = 400 (1)
0.2c + 0.5d = 400(0.39)
0.2c + 0.5d = 156 (2)
From (1)
c = 400 - d
Substitute c = 400 - d into (2)
0.2c + 0.5d = 156 (2)
0.2(400 - d) + 0.5d = 156
80 - 0.2d + 0.5d = 156
- 0.2d + 0.5d = 156 - 80
0.3d = 76
d = 76/0.3
d = 253.33 liters
Substitute d = 253.33 into (1)
c + d = 400
c + 253.33 = 400
c = 400 - 253.33
c = 146.67 liters
Replace x in each equation and solve to see if it equals the Y value in the table.
Doing this for all 4 letters, the correct equation is B y =3x+4
Put the coordinates of the points to the equations of the functions and check:
for (1, 4)
y = 5x + 4 → 4 = 5(1) + 4 → 4 = 5 + 4 → 4 = 9 FALSE
y = (x + 1)² → 4 = (1 + 1)² → 4 = 2² → 4 = 4 CORRECT
y = (x + 3)² → 4 = (1 + 3)² → 4 = 4² → 4 = 16 FALSE
y = 7x - 5 → 4 = 7(1) - 5 → 4 = 7 - 5 → 4 = 2 FALSE
Only y = (x + 1)².
Check other points:
for (2, 9)
9 = (2 + 1)² → 9 = 3² → 9 = 9 CORRECT
for (3, 16)
16 = (3 + 1)² → 16 = 4² → 16 = 16 CORRECT
<h3>Answer: Only y = (x + 1)²</h3>
Answer:
- 3 lbs of $6 coffee
- 2 lbs of $4.50 coffee
Step-by-step explanation:
Let x represent the number of pounds of $6 coffee. Then the total cost of the mix is ...
6x + 4.50(5 -x) = 27
1.5x +22.50 = 27.00 . . . . . . simplify
1.5x = 4.50 . . . . . . . . . . . . . . subtract 22.50
x = 3 . . . . . . . . . . . . . . . . . . . .divide by 1.5; pounds of $6 coffee
5 -x = 2 . . . . . . . . . . . . . . . . . pounds of $4.50 coffee
3 pounds of $6 coffee and 2 pounds of $4.50 coffee were used in the mix.
