Answer:
n = -2
Step-by-step explanation:
5n - 16 - 8n = -10
Combine like terms
-3n -16 = -10
Add 16 to each side
-3n-16+16 = -10+16
-3n = 6
Divide by -3
-3n/-3 = 6/-3
n = -2
1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
<h3>Equations</h3>
From the question, we are to determine how we can get equation B from equation A
From the given information,
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A
That is
5x - 2 + 2 + x = x + 4 → 5x + x = x + 4
Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
Learn more on Equations here: brainly.com/question/21765596
#SPJ1
I will put an equation to the corresponding number.
1) Seven more than 2 times a number is 23 => 2n + 7 = 23
2) The difference of 2 times a number and 7 is 23 => 2n - 7 = 23
3) The sum of 7 times a number and 2 is 23 => 7n + 2 = 23
4) Seven less than 2 times a number is 23 => 2n - 7 = 23
Based on the choices. The equation that matches sentences 2 & 4 is letter b. 2n - 7 = 23
Though both sentences are structured differently and used different terms, they both refer to subtraction of 7 from the product of 2 and n to get the difference of 23.
Answer:
The money each boy had after buying his ticket is <u>$2.50</u>.
Step-by-step explanation:
Given:
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.
Now, to find the money each boy had after buying his ticket.
Let the money each boy had after buying his ticket be 
Total number of boys = 4.
Total money they had = $40.
Money each boy spent = $7.50.
Now, to write an equation:
Now, to solve the equation for getting the money each boy had after buying his ticket:
<em>Subtracting both sides by 30 we get:</em>
<em>Dividing both sides by 4 we get:</em>
Therefore, the money each boy had after buying his ticket is $2.50.
Experimental probability = 1/5
Theoretical probability = 1/4
note: 1/5 = 0.2 and 1/4 = 0.25
=============================================
How I got those values:
We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.
Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.
The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.
For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.
In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.
