Find to LCM of 8 and 18 to compare times
Mary: 4*9laps/8*9min
36 laps/ 72 mins
Nicole: 12*4laps/18*4 mins
48 laps/ 72 mins
Nicole runs more laps in the same amount of time as Mary
Therefore, Nicole runs faster
I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
<h2>A.</h2>
So let's break down this sentence (Let n = unknown number):
- "A number is doubled and then 1 is added to it"; Remember that double means multiplied by 2. With this sentence, we can determine that "2n + 1" is a part of the equation.
- "The answer is divided by 5, and then increased by 16"; The "answer" they refer to is "2n + 1" from the prior sentence. Since this is divided by 5 and <em>then</em> added by 16, we can determine that
is a part of our equation. - "The final result is 18"; This means that the prior part of the equation is equal (=) to 18. <u>With this info, our full equation is
</u>
<h2>B.</h2>
Now, let's solve our prior equation found in A. To solve for the unknown number, n, we need to isolate the variable onto 1 side of the equation. Firstly subtract both sides by 16 to cancel out the + 16 on the left side:

Next, multiply both sides by 5 to cancel out the division on the left side:

Next, subtract both sides by 1 to cancel out the + 1:

Lastly, divide both sides by 2 to cancel out the multiplication:

<u>In short, the number is 9/2 or 4.5.</u>
Answer:
15x+13y> 3,000
Step-by-step explanation:
I believe the answer would 5 blocks
If you go 3 blocks East and 4 north, they are like the straight sides of a triangle, so to find the diagonal distance, or the shortest distance, you would find the diagonal side of a triangle it is
A squared + B squared = C squared
So 3x3 = 9
And 4x4 = 16
16+9=25
And the square root of 25 is 5
Please correct me if I am wrong and have a good day