Answer:
30 seats
Step-by-step explanation:
To answer this question, we will be assigning values for both rows and seats.
R = Rows
S = Seats
Remember that rs = 600
r = s - 10, plug this equation into rs = 600, and factor it:
s(s-10) = 600
s^2-10s-600 = 0
(x-30)(x+20) = 0
There are 30 seats in the row. To determine which one is your answer, your answer MUST be positive because it is impossible to have negative seats. (x-30) is 30, which is the positive value found when factoring.
ANSWER:
7 / 80
8 3/4% expressed as a fraction is 7 / 80.
STEP-BY-STEP EXPLANATION:
Write 8 3/4% as a percentage with a decimal:
= 8.75%
Convert 8.75% to a fraction:
= 8.75% ÷ 100
= 8.75 / 100
Make the numerator a whole number by multiplying both the numerator and denominator by a 100:
= ( 8.75 × 100 ) / ( 100 × 100 )
= 875 / 10000
Divide the numerator and denominator in the fraction by their highest common factor ( HCF ):
HCF = 125
THEREFORE:
= ( 875 ÷ 125 ) / ( 10000 ÷ 125 )
= 7 / 80
9514 1404 393
Answer:
top down: ∞, 0, 1, 0, ∞
Step-by-step explanation:
The equation will have infinite solutions when the left side and right side simplify to the same expression. This is the case for the first and last expressions listed.
2(x -5) = 2(x -5) . . . . expressions are already identical
x +2(x -5) = 3(x -2) -4 ⇒ 3x -10 = 3x -10 . . . the same simplified expression
__
The equation will have no solutions when the x-coefficients are the same, but there are different added constants.
5(x +4) = 5(x -6) ⇒ x +4 = x -6 . . . not true for any x
4(x -2) = 4(x +2) ⇒ x -2 = x +2 . . . not true for any x
__
The equation will have one solution when coefficients of x are different.
5(x +4) = 3(x -6) ⇒ 2x = -38 ⇒ x = -19
Answer:
4
Step-by-step explanation:
To begin with, convert both fractions into improper fractions:
and 
.
Then convert the first fraction to ninths in order to add the two:
.
Then we add the two:
Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²
