Steps:
1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.
2. 2 times 4 equals 8, 2 times 3 equals 6
3. 35 3/4 now becomes 35 6/8
4. your new problem is 35 6/8 - 1/8
5. 6 -1= 5
6. your answer is 35 5/8
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
multiply (x+6) by 2/3
2/3x + 4 = -18
subtract 4 from both sides
2/3x + 4 - 4 = -18 - 4
2/3x = -22
multiply by 3/2
2/3 x 3/2 x = -22 x 3/2
x = -33
Answer:
All real numbers
Step-by-step explanation:
The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation
, since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know
, since we need to find the change for 8 weeks.



The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!