I am not sure what the six-step method looks looks like but if you use x gallons of 60% solution
the amount of antifreeze in the mixture = 0.6x + 8 gallons
This needs to be 50% of the total quantity in the mixture, x + 80
0.6x + 8 = 0.5(x + 80)
0.6x + 8 = 0.5x + 40
0.6 - 0.5 = 40 - 8
0.1x = 32
x = 32 x 10 = 320 gallons
Answer:
- P (blue or too big) = 11 / 12
Explanation:
A two way table permits to represent the situation clearly and find the answser is an easy way.
The two way table is that results from the given information is:
Initial information:
Blue Green Total
Fit well 4 1 ?
Too big ? ? ?
Total 5 7 12
Now by subtraction and addition you can fill the unknown fields:
Blue Green Total
Fit well 4 1 5
Too big 1 6 7
Total 5 7 12
Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).
Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.
And the probability is :
- P(blue or too big) = number of blue or too big / total number of shirts
- P (blue or too big) = 11 / 12 ← answer
You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.
Answer: Pigs = 21
Chicken = 45
Step-by-step explanation:
Let the pigs be represented by p
Let the chicken be represented by c.
From the question,
p + c = 66
4p + 2c = 174
4 × ( p + c = 66)
1 × (4p + 2c = 174)
4p + 4c = 264
- 4p + 2c = 174
2c = 90
c = 90/2 = 45
There are 45 chickens
Simce the farmer has a total of 66 animals, the number of pigs will be:
= 66 - 45
= 21 pigs
Answer:
x = 0
Step-by-step explanation:
9x - 7 = - 7
9x = - 7 + 7
9x = 0
x = 0/9
x = 0
