Here the dimension of the waxed gymnasium floor is given which is 20 feet by 20 feet. It means the floor is of square shape . And we need to find how many square feet she have to wax. Here square feet is given, which means we have to find the area. SO we need to find the area of the gymansium floor . And area of square is side square. So area of gymnasium floor = 20 ft times 20 ft = 400 square feet .
Answer:
150 student tickets and 375 adult tickets
Step-by-step explanation:
Let x = # of student tickets sold, and y = # of adult tickets sold.
Total of 525 tickets were sold, so the first equation is x + y = 525. The register gained $8325, so 10.50x + 18y = 8235 is the second equation.
x + y = 525
10.50x + 18y = 8325
18x + 18y = 9450
10.50x + 18y = 8325
7.5x = 1125
x = 150
150 + y = 525
y = 375
Answer:
It's actually an enlargement of the figure.
Step-by-step explanation:
Because if the figure originally was M' (-2,2), S' (4,2), V' (2, -2). And now the shape is M (-3, 3), S (6, 3), V ( 3, -3). This means that the Triangle got bigger.
The scale factor of the smaller shape inside of the bigger shape is 2 and the scale factor of the bigger shape is 3 making the bigger shape well bigger.
Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² +
ab - b² ← factor out
from each term
=
(a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² +
ab - b² =
(a + 2b)(a - b)