Answer:
C. $108
Step-by-step explanation:
Let;
Total amount = x
Brenda = (4/14)x = y
equation 1
4x = 14y
x = 14y/4
equation 2
Tina and Rita = (3/14)x + (7/14)x = y + 162
10x/14 = y + 162
10x = 14(y+162)
10x = 14y+2268
10*(14y/4) = 14y+2268
140y/4 = 14y+2268
140y = 4(14y+2268)
140y = 56y+9072
140y-56y = 9072
84y = 9072
y = 9072/84
y = 108
But;
x = 14y/4
x = (14*108)/4
x = 378
Brenda = 4/14 * 378 = 108
Answer:
1168/3 or 389 1/3 as a mixed fraction
Step-by-step explanation:
Simplify the following:
4^2 (4×36/6 + 1/3)
4×36/6 = (4×36)/6:
4^2 ((4×36)/6 + 1/3)
4^2 = 16:
16 ((4×36)/6 + 1/3)
36/6 = (6×6)/6 = 6:
16 (4×6 + 1/3)
4×6 = 24:
16 (24 + 1/3)
Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:
16 1/3 + (3×24)/3
3×24 = 72:
16 (1/3 + 72/3)
1/3 + 72/3 = (1 + 72)/3:
16 (1 + 72)/3
1 + 72 = 73:
16×73/3
16×73/3 = (16×73)/3:
(16×73)/3
| | 7 | 3
× | | 1 | 6
| 4 | 3 | 8
| 7 | 3 | 0
1 | 1 | 6 | 8:
Answer: 1168/3
Answer:
D=(-2,-8)
Step-by-step explanation:
the x coordinate of point c is located farther on the right side than the midpoint by four, therefore point D must be 4 to the left from the midpoint to keep the same distance.
2-4=-2
the same thing goes for the y coordinate. C is located 5 higher than the midpoint, therefore point D has to be located 5 lower than it.
-3-5=-8
Area of parallelogram = 10 * 3.5 = 35. Area of the square = 4*4 = 16.