The answer is $213 because you subtract the price sold by the price he bought them for and then you add them together (see work)
To answer the question above, we let s be the cost of a shirt and h be the cost of each hat such that the equations that would best represent the given are:
10s + 20h = 490
20s + 30h = 860
The system of equations is the answer to the first question and the values of s and h are $25 and $12, respectively.
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
=
(
x
2
+
6
)
(
x
+
3
)
Step-by-step explanation:
[Grouping the first 2 terms together and the 2md 2 terms together.]
x
3
+
3
x
2
+
6
x
+
18
=
(
x
3
+
3
x
2
)
+
(
6
x
+
18
)
[Common factor]
=
x
2
(
x
+
3
)
+
6
(
x
+
3
)
{Taking the common bracket]
=
(
x
2
+
6
)
(
x
+
3
)
~Hope this helps! :)
The correct answer would be D because if there are points at -8 and -2, those are the numbers that are plotted.