Answer:
2(x+10) = 3x-30 (reason: vertical angles are congruent)
2x+20 = 3x-30
20 = 1x-30
1x = 20+30
1x = 50
x = 50
Please let me know if there’s something you don’t understand. Hope this helps!
Answer:
1. Typed question: 175 green eggs
2. Attached: 22 tables
Step-by-step explanation:
For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.
4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.
Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

Now let's solve for x:

For your attached problem:
You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.
175 ÷ 8 = 21.9 tables
Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)
21.9 ≅ 22 tables.
Answer:
The value of the experimental probability is greater
Step-by-step explanation:
For the theoretical probability;
the probability that a card with the number 3 is selected is 1/5
We consider that the probabilities of each selection are equal, for the theoretical probability
For the experimental, we simply place the frequency of the selection 3 over the total
that will be 128/400 = 8/25
As we know that 8/25 is greater than 1/5
We can conclude that the value of the experimental probability is greater than that of the theoretical
3 * 1 * -1 because 3 times one is 3 and that times a negative turns it into a negative. ( positive * negative = negative)