《ANSWER》
《LINEAR EQUATIONS》
Solving all we get as
↪1) 5 (x -2) = 5x - 7
since after solving X is cancelled , NO SOLUTION
↪2) -3 (x - 4) = -3x + 12
SINCE after solving X is any value , infinitely many solutions
↪3) 4 (x + 1) = 3x + 4
solving we get as , 4x+ 4 = 3x + 4 =》 X =0
only one solution
↪4) -2 (x-3) = 2x - 6
Only one solution
↪5) 6 (x + 5) = 6x + 11
NO SOLUTION
All the equations are solved by the distributive law of algebra
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
Answer:
The answer to your question is h = 125.85 ft = 126 ft
Step-by-step explanation:
Process
1.- Determine two equations to solve the problem
(1)
(2)
from (1) h = xtan14
substitute in (2) tan 47 = 
solve for x tan47(x - 386) = xtan14
1.07x - 413.9 = 0.25x
1.07x - 0.25x = 413.9
0.82x = 413.9
x = 413.9/0.82
x = 504.76 ft
2.- Calculate h
h = 504.76 tan 14
h = 125.85 ft = 126 ft
Answer:
Step-by-step explanation:
1. ⟾ one dozen = 12, so 2 dozen = 12×2=24
⟾ 24 Joe's doughnuts = $6
⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.
⟾ so per doughnut unit rate is $ 1/4.
2. ⟾ 24 hours = 5432 miles.
⟾ 1 hours = 5432/24 hours
⟾ 1 hours = 226•333 miles.
⟾ so aryan drove in 226•333 miles in 1 hours.
Hope it's helps you
