Answer: D
Step-by-step explanation:
-3x + 1 < 7
subtract 1 from both sides
-3x < 6
divide each side by -3
x > -2 (flip the greater than/less than sign because you divided by a negative)
-2 is not included so it is an open dot, and answers include all numbers greater than -2 so the answer will be D. Hope this helps!
First 3-digit number divisible by 12 is 108.
Last 3-digit number divisible by 12 is 996.
108 = 12 · 9
996 = 12 · 83
From 108 to 996 are 83 - 9 + 1 = 75 numbers divisible by 12.
108 is the first term of the arithmetic sequence.
996 is the 75th term of the arithmetic sequence.
Use the formula of a sum of terms of an arithmetic sequence:

We have:

Substitute:

<h3>Answer: 41,400</h3>
Answer:
(A)There are twice as many students in Homeroom B that spent 6 hours studying for their final science exam than in Homeroom A
Step-by-step explanation:
From the dot plot presented,
In Homeroom A, number of students who spent 6 hours studying for their science final exam =1
In Homeroom B, number of students who spent 6 hours studying for their science final exam =4
Therefore, the statement that "There are twice as many students in Homeroom B that spent 6 hours studying for their final science exam than in Homeroom A" is not supported from the dot plot.
The correct option is A.
You just put the answers into the equation so a) 10x1.1 + 5 = 16
7.5x1.1 + 25 = 33.25
b) 10x1.7 + 5 = 22
7.5x1.7 +25 = 37. 75
c) 10x8 + 5 = 85
7.5x8 + 25 = 85
In c ^ they both have the same amount of money (85) so the answer is c