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:
sorry i cannot draw it right now
Step-by-step explanation:
I wil do the radian of the degrees
London: 0.013439
Glasgow: 6.21337
Leeds: 0.00628319
Guernsey: 2.82743
Answer:
The graph will be a parabola
The vertex will be 3,-4
The axis of symmetry will be x=3
The x intercept is (5,0) and (1,0)
the y intercept will be (0,5)
Step-by-step explanation:
i dont know the orientation
8v + w + 7 - 8v + 2w
= 3w + 7
Answer is 1/2 ln (x^2+1) + 2 tan ^-1 (x) +c
in order to do this first say (x/x^2+1)+ 2/(x^2+1)
we already know that 1/x^2+1 equal tan^-1 (x)
for the first part you need to say u=x^2+1 and solve it by substitution
I hope this helps..let me know if you need more explanation