let l = lance, and a = alex.
so: l + a = 70
and l = 4a
Putting the value for l in the first equation:
4a +a = 70
5a = 70
a = 14.
So Alex has 14 pencils. And Lance has (70-14) 56 pencils.
And if each child gets half of Alex' pencils, then each child will have 7 pencils.
Answer:
GCF= 1
LCM= 1680
Step-by-step explanation:
GCF= Find the prime factorization of 21, 21 = 3 x 7
Find the prime factorization of 80, 80 = 2 x 2 x 2 x 2 x 5
Then multiply the prime factors both numbers have in common
LCM= multiply the two numbers together and ignore all negative signs
Answer:
5.4.
Step-by-step explanation:
If we divide 2 by 5 we get 0.4
So 5 and 2/5 = 5.4
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = 
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = 
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer:
1 :
Step 2 :
Equations which are never true :
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 2x+1 = 0
Subtract 1 from both sides of the equation :
2x = -1
Divide both sides of the equation by 2:
x = -1/2 = -0.500
One solution was found :
x = -1/2 = -0.500
