You want to simplify or factor it?
Simplify:
7 * χ + 7 * -3 +5χ
=7χ + -21 +5χ
=(7χ+5χ)+-21
=12χ-21
Factor:7(x-3)+5x
12x-21
=3(4x-7)
Answer:
V = 603.43 cm³
Step-by-step explanation:
V = πr²h
Where r = 4 cm, h = 12 cm
V = 22/7 × 4² × 12
V = 22/7 × 4 × 4 × 12
V = 4224/7
V = 603.43 cm³
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Answer:
y = 0
Step-by-step explanation:
If 105 customers were the total, and 35% prefers cake, we must calculate 35% of 105, then we must do 105 multiplied by 35%, we can doit transforming the 35% in the fraction notation:

And the multiplication

Therefore, if we round it to the nearest whole number, the number of customers that prefer cake is 37.
37 customers prefer cake.