Answer:
3
To find:
n
Step-by-step explanation:
бn - 7+ 4n = 23
10n-7 = 23
10n = 23 + 7
10n = 30
n = 30/10
n = 3
hope it helps you!!
Answer:
5/4 = 5/8 times 2
1
2
4
5
7
16/5 = 8 times 2/5
9 and 8 the last two
Step-by-step explanation:
Part B: Explain in words how to graph the solution to the inequality on a number line. (4 points)
Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points)
Answer: Sure, I can help you with that!
Part A: To solve the inequality −6(x − 3) > 42, we first need to distribute the -6 to the expression inside the parentheses:
-6(x - 3) > 42 -6x + 18 > 42
Next, we’ll subtract 18 from both sides:
-6x > 24
Finally, we’ll divide both sides by -6. Since we’re dividing by a negative number, we need to flip the inequality sign:
x < -4
Therefore, the solution to the inequality is x < -4.
Part B: To graph the solution to this inequality on a number line, we’ll start by drawing an open circle at -4 (since x is not equal to -4). Then, we’ll draw an arrow pointing to the left of -4 to indicate that all values less than -4 are solutions to the inequality.
Part C: To find two values that would make the inequality true, we can choose any two values less than -4 and substitute them into the original inequality. For example, if we choose x = -5, then:
-6(-5 - 3) > 42 -6(-8) > 42 48 > 42
Since 48 is greater than 42, this confirms that x = -5 is a solution to the inequality. Similarly, if we choose x = -10, then:
-6(-10 - 3) > 42 -6(-13) > 42 78 > 42
Since 78 is also greater than 42, this confirms that x = -10 is also a solution to the inequality.
I hope this helps!
A. –7
B. –3
C. 41
D. 25