Answer:
x² + 8x + 16
Step-by-step explanation:
(x + 4)² = (x + 4)(x + 4)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
x(x + 4) + 4(x + 4) ← distribute both parenthesis
= x² + 4x + 4x + 16 ← collect like terms
= x² + 8x + 16 ← perfect square trinomial
Answer:
Perimeter = 10x + 8 units.
Area = 6x^2 + 13x - 5 units^2.
Step-by-step explanation:
The perimeter is 2*length + 2*breadth
= 2(2x + 5) + 2(3x - 1)
= 4x + 10 + 6x - 2
= 10x + 8 units.
The area = length * breadth
= (2x + 5)(3x - 1)
= 6x^2 - 2x + 15x - 5
= 6x^2 + 13x - 5 units^2.
Okay so first what you would do is figure out what 3/5 is as a decimal so you would divide 3 by 5 which is 0.6 so the percentage is 15.6%
Next turn it into a fraction which would be 15.6/1
Then multiply the numerator and denominator by 10
15.6= 15.6/1= 156/10
then to put it in simplest form divide 10 by 156 and that would be 15 and 6/10
hope this helped (;
1. Determine the cost to produce 500 helmets.
Answer:
Cost to produce 500 helmets will be $9000.
Step-by-step explanation:
Expression that represents the cost of the bicycle helmets is given as
C = 3000 + 12x
where x = number of helmets produced.
1. Cost of production of 500 helmets can be calculated by putting x = 500 in the expression.
C = 3000 + 12×500
= 3000 + 6000
= $9000
Therefore, cost to produce 500 helmets will be $9000.
Answer:
$9000
Step-by-step explanation:
3000+12x
x = 500
3000 + (12*500)
3000+6000
$9000
The Distributive Property can be used to simplify 144 divided by 8 to 18.
The Distributive Property allows you to distribute or break apart a number that is being multiplied by a sum or difference. In this case, we have 144 divided by 8.
We can rewrite 144 divided by 8 using the Distributive Property as follows:
144 divided by 8 = (8 x 18) divided by 8
Next, we can cancel out the 8s:
144 divided by 8 = 18
Therefore, 144 divided by 8 is equal to 18.