What is the distance between 32 and -67 on a number line?
Responses
A -35-35
B 3535
C 4545
D 49.549.5
E 99
The distance between 32 and -67 on a number line can be found by subtracting the two numbers and taking the absolute value.
|-67 - 32| = |-99| = 99
Therefore, the answer is E) 99.
To find the distance between 32 and -67 on a number line, we need to calculate the absolute value of the difference between the two numbers.
Step 1: Find the absolute value of the difference between 32 and -67.
|-67 - 32| = |-67 + 32|
Step 2: Calculate the difference.
|-67 + 32| = |-35|
Step 3: Find the absolute value of -35.
|-35| = 35
Therefore, the distance between 32 and -67 on a number line is 35 units.
The correct answer is option B: 35.
To find the distance between 32 and -67 on a number line, you need to calculate the absolute value of the difference between the two numbers.
First, find the difference between 32 and -67: -67 - 32 = -99.
Then, take the absolute value of -99: |-99| = 99.
Therefore, the distance between 32 and -67 on a number line is 99.
The correct answer is E) 99.
Solve for x.
-3x + 4 = -8
Responses
A x = 4x = 4
B x = -4x = -4
C No SolutionNo Solution
D x = -43
x = - 4/ 3
E x = 4/3
To solve for x in the equation -3x + 4 = -8:
Step 1: Subtract 4 from both sides of the equation to isolate the term -3x:
-3x + 4 - 4 = -8 - 4
-3x = -12
Step 2: Divide both sides of the equation by -3 to solve for x:
(-3x) / -3 = (-12) / -3
x = 4
Therefore, the answer is A) x = 4.
Solve the equation for x.
−1/5 x + 3 = −7
Responses
A x = −35
x = −35
B x = 15x = 15
C x = 50x = 50
D x = 55
To solve the equation -1/5x + 3 = -7:
Step 1: Subtract 3 from both sides of the equation to isolate the term -1/5x:
-1/5x + 3 - 3 = -7 - 3
-1/5x = -10
Step 2: Multiply both sides of the equation by -5 to get rid of the fraction:
(-1/5x) * -5 = (-10) * -5
x = 50
Therefore, the answer is C) x = 50.