Answer:
Step-by-step explanation:
3(10 – 4x) + 6 = 12
first you need to use the distributive property
30 – 12x + 6 = 12
then subtract 6 from each side
30 – 12x = 6
then subtract 30 from each side
– 12x = -24
divide both sides by negative 12
x = 2
Answer:the number of BlackBerry that Arlene had initially was 276
Step-by-step explanation:
Let x represent the number of BlackBerry that Arlene had initially.
She gave 216 to her teachers. This means that she is left with x - 216
Then she dropped 12. This means that she would be left with x - 216 - 12 = x - 228
Later, she ate 18. This means that she would be left with x - 228 - 18 = x - 246
Finally, she gave half of what she had to her friend. This means that the amount that she gave to her friend is (x - 246)/2 and the amount that she has left would be
(x - 246)/2
Now, she has 15. This means that
(x - 246)/2 = 15
x - 246 = 2 × 15 = 30
x = 30 + 246 = 276
Answer:
Step-by-step explanation:
A prime number is a positive integer that only has a factor of one and itself. Factors are the numbers we multiply together to get another number.
Example: 11 is a prime number. To get 11, we can only multiply 1x11.
A composite number is a positive integer that has factors other than one and itself.
Example: 12 is a composite number. To get 12, you can multiply together 1x12, 2x6, and 3x4. 1, 2, 3, 4, 6, and 12 are all factors of 12.
In the problem you are trying to solve, Mrs. Evans wants to hang 13 pictures with the same number of pictures in each row. Find all of the factors of 13: 1, 13. Those are the only numbers we can multiply together to get 13. Since its factors are only 1 and itself, 13 is a prime number. Because 13 is a prime number, there are no other possible ways she can arrange her pictures into rows with the same number of pictures in each.
Answer:
The units of the average growth rate is number of accidents per day.
Step-by-step explanation:
We are given the following in the question:
The independent variable is the day of the year.
The function is the cumulative number of accidents since the first of the year at a certain dangerous intersection.
Average growth represents the rate at which the dependent variable changes as the independent variable changes.
Independent variable: day of the year
Dependent variable: cumulative number of accidents
Thus, the growth rate will have units

Thus, the units of the average growth rate is number of accidents per day.