Part 1:
The pattern for the first sequence goes by the multiples of 12 and you can show your work by adding 12 to the following number. Example:
12 + 12 = 24
24 + 12 = 36
36 + 12 = 48
and go on...
The pattern for the second is one is that you have to multiply by 2. Example:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
Part 2:
You would do the same steps shown above. Add twelve to the following number which is 60. So, 60 + 12 = 72.
You would also need to multiply 2 and 96 since its the given number. 96 × 2 =192.
Part 3:
The first sequence is an arithmetic sequence because the number 12 is constantly being added.
The second sequence is a geometric sequence because 2 is constantly being multiplied.
I hope this helps!
Answer:
The solution of the inequality in the attached figure
Step-by-step explanation:
we have
we know that
The slope of the dashed line is positive 
The equation of the dashed line is 
The y-intercept of the dashed line is the point 
The x-intercept of the dashed line is the point 
Graph the inequality
The solution of the inequality is the shaded area above the dashed line
see the attached figure
Remember that
If a ordered pair is a solution of the inequality
then
the ordered pair belong to the shaded area and the ordered pair must satisfy the inequality
Answer:
x<4
Step-by-step explanation:
The graph is not ending therefore X can be only lower than 4. -4 wouldn't be considered to be in the answer as it is a value of x itself. Also, X can't be greater than 4 because 4 is the starting point of the graph. So the X is always lower than 4 and can equal -4. So it would be x<4.
hope that helps!
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55
Answer:
25
Step-by-step explanation:
25 is a multiple of 5, so is the least multiple of both 5 and 25.
