Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundr
2 answers:
Equation used to solve for the unknown positive integer is
So, Option C is correct.
Step-by-step explanation:
We need to write the equation from the statement given:
<em>Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundred and ten times the positive integer.</em>
Let the number is x
Now, the equation will be:
Simplifying the equation we get:
Equation used to solve for the unknown positive integer is
So, Option C is correct.
Keywords: Algebraic Expression
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Split the pie into 3 sections and shade only one of them
Options:
a. Nikki's proposed placement will light a greater area than Dylan's placement.
b. Dylan's proposed placement will light a greater area than Nikki's placement.
c. Both proposed placements will light the same sized area.
d. Nikki's proposed placement will light more than half the yard.
e. Dylan's proposed placement will light more than half the yard.
f. Dylan's proposed placement will light exactly half of the yard.
g. Nikki's proposed placement will light less than half of the yard.
Answer:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
Step-by-step explanation:
The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft
Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.
