Answer:
x = 1
Step-by-step explanation:
For this problem, we are simply solving for x, and analyzing the results of the two students. First let's solve for x ourselves:
5 ( x + 3 ) = 20
5 ( x + 3 ) * ( 1 / 5 ) = 20 * ( 1 / 5)
x + 3 = 4
x + 3 + -3 = 4 + -3
x = 1
So we know the solution for this equation is x = 1.
Now let's look at the solutions of the two students. Alex's "divide first" way is correct since it follows the proper order of operations. The order of operations are simply a way in which to simplify problems correctly. Here is the order of things to handle first:
Parenthesis --> Exponents --> Multiplication (Division) --> Addition (Subtraction)
Looking at Morgan's "subtract first" way, we know that he has violated the order of operations. For this specific problem, the distributive property of multiplication is ignored in Morgan's approach, resulting in an incorrect answer.
I hope this helps.
Cheers.
Step-by-step explanation:
for such regular figures the volume is always
ground area × height.
the volume of the green box (bar on a rectangle) at the bottom is therefore
16×7×3 = 336 in³
the volume of the red object on top (based on a right-angled triangle) we get
5×3/2 × 6 = 5×3×3 = 45 in³
so, the total volume is the sum of both sub-volumes :
336 + 45 = 381 in³
Answer:
A and C
Step-by-step explanation:
Use formula for difference of perfect cubes:
Consider expression You know that then
The quadratic trinomial cannot be factored anymore, so the expression has two factors and
Answer: correct choice is A.