Answer:
If the gift card is $30 the remaining change is 3 dollars
Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
m= 1/3 and point given (1, -2) by using which we find y-intercept:
- b= y-1/3x
- b= -2- 1/3*1= - 7/3
General form of a line is: ax+by+c= 0
converting:
- y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0
Answer:
55%
Step-by-step explanation:
11/20 = 0.55
0.55 = 55%
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
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.
