The speed of the faster cyclist will be 30 miles/hour.
<em><u>Explanation</u></em>
One cyclist is 3 times as fast as the other.
Lets assume that the speed of the slower cyclist is miles/hour.
So, the <u>speed of the faster cyclist</u> will be: miles/hour.
They start riding toward each other at the same time and meet 2 hours later.
We know that,
So, the <u>distance traveled by slower cyclist</u> in 2 hours miles and the <u>distance traveled by faster cyclist</u> miles.
Given that, they were 80 miles apart at the starting. So, the equation will be.....
So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.
Answer:
a + 1
to get 1 more than a you add 1 to a because you don't know what a is
2(4 + 2x) ≥ 5x + 5
First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4.
Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself.
Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3.
Fifth, we can switch sides now to get the result of this problem.
Answer:
Answer: C
Step-by-step explanation:
When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.
Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.
That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.
We can eliminate D because at -2, the numbers are going towards the right, not the left.
Therefore, our answer is C.
100=r( x) This could possibly be correct I really have no idea