What we'll do is plug integer values from 1 to 12 into the expression 2*k+14 like shown below:
if k = 1, then 2*k+14 = 2*1+14 = 16
if k = 2, then 2*k+14 = 2*2+14 = 18
if k = 3, then 2*k+14 = 2*3+14 = 20
if k = 4, then 2*k+14 = 2*4+14 = 22
if k = 5, then 2*k+14 = 2*5+14 = 24
if k = 6, then 2*k+14 = 2*6+14 = 26
if k = 7, then 2*k+14 = 2*7+14 = 28
if k = 8, then 2*k+14 = 2*8+14 = 30
if k = 9, then 2*k+14 = 2*9+14 = 32
if k = 10, then 2*k+14 = 2*10+14 = 34
if k = 11, then 2*k+14 = 2*11+14 = 36
if k = 12, then 2*k+14 = 2*12+14 = 38
Add up the results:
16+18+20+22+24+26+28+30+32+34+36+38 = 324
The final answer is 324
Answer:
Alex = 19 years
Bart's = 15 years
Carl = 8 years
Step-by-step explanation:
Let us represent their ages as
Alex = x
Bart's = y
Carl = z
the sum of the ages of the three brothers is 42
x + y + z = 42
Alex his age is three more than twice Carl's age
x = 2z + 3
The difference between Barts in Carl's ages is seven years
y - z = 7
y = 7 + z
Hence: we Substitute
x + y + z = 42
2z + 3 + 7 + z + z = 42
Collect like terms
2z + z + z + 10 = 42
4z = 42 - 10
4z = 32
z = 32/4
z = 8 years
Hence, Carl = 8 years old
a) y = 7 + z
y = 7 + 8
y = 15 years.
Hence, Bart's is 15 years old
b)x = 2z + 3
x = 2(8) + 3
= 16 + 3
= 19 years
Therefore, Alex is 19 years old.
Answer:
Math, History, Science
Step-by-step explanation:
Math notebook: 
Science notebook: 
History notebook: 
Math is the least heaviest.
History is in the middle.
Science weighs the most.
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
"semi-monthly" means getting paid twice a month, so to find walt's semi-monthly salary, all you'd have to do here is divide his monthly salary in half. he'd get like two installments in one month if that makes sense
6962/2 = 3481
his semi-monthly salary is $3,481
