140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
Answer:
Jorge is using pencils at a rate of 6 packs a year or a rate of 2 packs every four months.
Step-by-step explanation:
1/3 of a year is four months so that would be 2 packs every four months and if you multiply that by three you’d get 12 month, or one year, and 6 packs of pencils.
The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.
If you were to solve the equation it would look like this:
2x+6=3x-8
-3x -3x
-x+6=-8
-6 -6
-x=-14
/-1 /-1
x=14
Answer:
Vertical shift is 2 units top and horizontal shift is 
units to the right
Step-by-step explanation:
Consider the function f(x) = a cos(bx + c) + d.
In this graph, the horizontal shift is -c/b and the vertical shift is d.
Let's compare our graph, f(x) = -3 cos(2x - π) + 2 with this graph.
Here, a = -3, b = 2, c = -π and d = 2.
So, vertical shift = d = 2 units top and
horizontal shift = 
units to the right.
Answer:
5
Step-by-step explanation:
First, let us simplify the expression on the left
8(4+3) - 21 = 8(7) - 21 = 8(7) - 3(7) = 7(8-3)
Divide this by 7 and you'll get 8-3 = 5
