Answer:
a 1
b 6
c 15
Step-by-step explanation:
101% 101/100 = 1 1/100
is 1 complete 100 grid and 1/100 of another grid so you will need 2 grids
589% 589/100 = 5 89/100
is 5 complete 100 grids and 89/100 of another grid so you will need 6 grids
1450% 1450/100 = 14 50/100
is 14 complete grids and 50/100 of another grid so you will need 15 grids
Answer:
19. reflection (-1, -3)
20. translation (5, -3)
21. translation (0, -5)
22. reflection (1, 3)
23. translation (5, 6)
24. reflection (1, 3)
Step-by-step explanation:
Answer:
y=-x+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
$462.50
Step-by-step explanation:
Find 25% of 1850:
1850(0.25)
= 462.5
So, she earns $462.50 in commission