Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the inequality and describe the solution set.
y
–
6
≥
12
To solve the inequality:
y - 6 ≥ 12
Add 6 to both sides:
y - 6 + 6 ≥ 12 + 6
Simplify:
y ≥ 18
Therefore, the solution set is all values of y that are greater than or equal to 18. In interval notation: [18, ∞)
make it like a 12 year old wrote it
So here's this problem, it goes like this: what's the answer to y minus 6 is bigger or equal to 12? Well, I'll tell you! First thing you gotta do is add six to both sides, like this: y minus 6 plus 6 is bigger or equal to 12 plus 6. And that's just the same as y is bigger or equal to 18. So yeah, the answer is all the numbers that are bigger or equal to 18. Cool, huh? You can write it like this: [18, ∞).
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Gabriella went skiing. She paid $35 to rent skis and $15 an hour to ski. If she paid a total of $95, how many hours did she ski? Write an algebraic equation to represent the situation and solve it.
Let's start by writing an equation to represent the situation. If Gabriella paid $35 to rent skis and $15 an hour to ski, then the total cost (in dollars) of skiing x hours is:
Total cost = 35 + 15x
We know that the total cost that she paid was $95, so we can set up the equation:
35 + 15x = 95
To solve for x, we need to isolate the variable on one side of the equation. We can do this by subtracting 35 from both sides:
15x = 60
Finally, we'll solve for x by dividing both sides by 15:
x = 4
So Gabriella skied for a total of 4 hours.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the equation.
c
4
−
5
=
4
To solve the equation:
c/4 - 5 = 4
Add 5 to both sides:
c/4 - 5 + 5 = 4 + 5
Simplify:
c/4 = 9
Multiply both sides by 4:
4*c/4 = 4*9
Simplify:
c = 36
Therefore, the solution to the equation is c = 36.
You and your Canadian pen pal enjoy talking about nature together. While your friend describes some birds that she saw today, you realize that one of the birds she described sounds like one you have seen in your home state of Indiana. You remember that all organisms have common and scientific names. Which would be most appropriate to use to confirm with your friend? (1 point)
Responses
You should use the scientific name because it is local to North America.
You should use the scientific name because it is local to North America.
You should use the bird’s scientific name since that name is the same everywhere in the world.
You should use the bird’s scientific name since that name is the same everywhere in the world.
You should use the bird’s common name since it is based on the bird’s characteristics.
You should use the bird’s common name since it is based on the bird’s characteristics.
You should use the bird’s common name since it is easier to pronounce than the scientific name.
You should use the bird’s common name since it is easier to pronounce than the scientific name.
You should use the bird’s scientific name since that name is the same everywhere in the world.
To solve the inequality y - 6 ≥ 12, you need to isolate the variable y. Here are the steps to solve the inequality:
Step 1: Add 6 to both sides of the inequality:
y - 6 + 6 ≥ 12 + 6
y ≥ 18
Step 2: The solution set for this inequality is all values of y greater than or equal to 18, as indicated by the "≥" sign. In interval notation, the solution set can be represented as [18, ∞).
Therefore, the solution set for the inequality y - 6 ≥ 12 is y ≥ 18.