Possibility 1: nondefective-defective-defective
possibility 2: defective-nondefective-defective
possibility 1: 8/10x 2/9 x 1/8 = 16/720=1/45
possibility 2: 2/10 x 8/9 x 1/8= 16/720=1/45
answer: 2/45
Let C be the number of cats of the superhero. With this, the number of cats of nemesis have is 3C/4 + 7. The numbers should be equal such that,
C = 3C/4 + 7
The value of C from the equation is 28. Thus, the number of cats of the nemesis is 28.
Area of the base of the model
3*2 = 6 square feet
Since the actual building 120 times bigger than the model, it should be multiplied with 120
6*120 = 720 square feet
184 milliliters of the first brand and 46 milliliters of the second brand
Step-by-step explanation:
Step 1:
Let x be the number of milliliters of the first brand in the final mixture
Since the chef requires 230 milliliters, 230 - x would be the milliliters of dressing of the second brand
Step 2:
The first brand contains 6% vinegar, and the second brand contains 11% vinegar
Hence we have,
x * 6/100 + (230-x) * 11/100 = 230 * 7/100
0.06 x + 25.3 - 0.11 x = 16.1
0.05x = 9.2 => x = 184
Hence the 184 milliliters of the first brand is to be used
Step 3 :
Quantity of the second brand to be used is 230 - x = 230 -184 = 46 milliliters.
