Let no. of pens be x.
Pens : x
Pencils: x+8
Total: 2x+8
Student takes 1 pen and 5 pencils.
Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)
There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.
Answer:
2
Step-by-step explanation:
consider the two points. Gradient=change in y/change in x. So 4/2=2
Answer:
The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4.
Step-by-step explanation:
Answer:
Step 1: Simplify both sides of the equation.
8−2(3−x)=4x+6
8+(−2)(3)+(−2)(−x)=4x+6(Distribute)
8+−6+2x=4x+6
(2x)+(8+−6)=4x+6(Combine Like Terms)
2x+2=4x+6
2x+2=4x+6
Step 2: Subtract 4x from both sides.
2x+2−4x=4x+6−4x
−2x+2=6
Step 3: Subtract 2 from both sides.
−2x+2−2=6−2
−2x=4
Step 4: Divide both sides by -2.
−2x
−2
=
4
−2
Step-by-step explanation:
Answer:
Option C is correct.
Equation of a line 
passing through (0,6) and (9,0).
Explanation:
Given the two points (0, 6) and (9 ,0).
To find the equation for the given two points 
and 
is,
; where m is the slope and is given by:
First find the slope m:
Substitute this value in equation of line:
or
⇒
Therefore, the equation for the given point is:
