Answer:
Step-by-step explanation:
Let the numbers be x and y
<u>Three times the first number minus two times the second number equals -7:</u>
<u>The second number equals one less than negative three times the first number:</u>
<u>Substitute y in the first equation and solve for x:</u>
- 3x - 2(-3x - 1) = -7
- 3x + 6x + 2 = -7
- 9x = -9
- x = -1
<u>Find the value of y:</u>
- y = -3(-1) - 1
- y = 3 - 1
- y = 2
The numbers are -1 and 2
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
Answer:
1 to 2.5
Step-by-step explanation:
4/2=2
10/2=5
2/2=1
5/2=2.5
so 1 is to 2.5
Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
