1)The sum of a number and 17 more than twice the same number is 101. Find the number.
17+2n=101
17-17
101-17
2n=84
n=42(answer)
2)Evaluate: 5-/a+5b/ if a=-12 and b=2.
5-/-12+5(2)/
5-/-12+10/
5-/-2/
5-2
3(answer)
1. The sum of a number and 17 more than twice the same number is 101 should be:
n + (2n+17) = 101
2. I am not sure what
5-/-2/
means.
If / is supposed to be a bracket or parenthesis then:
5-[-2]
=5+2
The equation is set up correctly. Good job!
Let's see:
17 + 2n = 101....Original Equation
Subtract 17 from both sides.
2n = 101 - 17
2n = 84
Now divide both sides by the coefficient 2 to find the value of n.
n = 84/2
n = 42
Is this true?
Let's plug 42 for n in the Original Equation above and simplify. If we get the same answer on both sides, then n = 42 is right.
You developed:
17 + 2n = 101....Original Equation
Let n = 42
17 + 2(42) = 101
17 + 84 = 101
101 = 101...It checks!!!
Yes, n = 42.
=========================
NEXT: You are told to evaluate.
To evaluate means to replace the variables given with the given values and simplify.
Evaluate: 5-/a+5b if a =-12 and
b = 2.
However, I just noticed that you made a typo in terms of 5.
What exactly are you subtracting from 5?
Do you see what I mean?
The second question is not typed correctly.
Write back when you fix the typo.
Yes, I totally missed some of the wording.
Yes, Quidditch is right for question 1.
Good looking out, Quidditch!
blueridge
Part 1
I don't think you set up the equation correctly. See me first response
/ is suppose to be absolute value
OK, I think you are correct
5 - |-2|
=5-2
=3
I know that and I thanked you for correcting me.
We all make mistakes, right?
To solve the equation in question 1, let's break down the steps:
Given: The sum of a number and 17 more than twice the same number is 101.
Step 1: Translate the given information into an equation:
Let's denote the number as "n".
The sum of a number and 17 more than twice the same number can be written as:
n + (2n + 17) = 101.
Step 2: Simplify the equation:
Combine like terms: n + 2n + 17 = 101.
Combine the coefficients: 3n + 17 = 101.
Step 3: Isolate the variable:
Subtract 17 from both sides of the equation:
3n = 101 - 17,
3n = 84.
Step 4: Solve for the variable:
Divide both sides of the equation by 3:
n = 84 รท 3,
n = 28.
Therefore, the number in the first question is 28.
Now let's evaluate the expression in question 2:
Given: Evaluate 5 - |a + 5b| when a = -12 and b = 2.
Step 1: Substitute the given values into the expression:
5 - |(-12) + 5(2)|.
Step 2: Simplify the expression inside the absolute value brackets:
5 - |(-12 + 10)|,
5 - |(-2)|.
Step 3: Evaluate the absolute value:
5 - 2.
Step 4: Subtract the values:
5 - 2 = 3.
Therefore, the value of the expression when a = -12 and b = 2 is 3.