Answer:
Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
Answer:
Option A. 
Step-by-step explanation:
we know that
The resulting two-dimensional cross-section is a rectangle
The area of rectangle is equal to
Answer:
6 and 8
Step-by-step explanation:
Let's start off by thinking at what the question is asking us.
The product (multiplication) of two even numbers (x)(x+2) is which means =,
12 more (12) than the square of the smaller number (x).
So put that all together and you get (x)(x+2)=12+x^2=
Distribute the x, (x)(x+2)=
x^2+2x=x^2+12 Subtract x^2 from both sides.
2x=12
Divide both sides by 2 and you get x=6
So the two numbers are 6,8
6(8)=12+6^2
48=48
Answer:
A. 2 distinct roots.
Step-by-step explanation:
2x^2 + 8x + 3 = 0
Finding the discriminant:
b^2 - 4ac = 8^2 - 4 * 2 * 3
= 64 - 24
= 40
The discriminant is positive but not a perfect square
So there are 2 distinct ,real, irrational roots.
