Answer:
Here is how you do it step by step.
Step-by-step explanation:
Step 1: Simplify each side, if needed.
Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
Step 3: Use Mult./Divide
Step 4: Check your answer.
I find this is the quickest and easiest way to approach linear equations.
Example 6: Solve for the variable.
<u>Hope this helps!</u>
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
Simplify
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
The answer is around 5.497787144 miles.
The distributive property: a(b + c) = ab + ac
7 × 7 = 7 × (10 - 3) = (7)(10) - (7)(3) = 70 - 21 = 49
7 × 7 = 7 × (5 + 2) = (7)(5) + (7)(2) = 35 + 14 = 49
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!
Start with the first sentence.
x + y + z = 6.0
Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.
0.7 + y + z = 6.0
Now I'll subtract 0.7 from both sides to see what y and z have to add up to.
0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3
Now I'll choose a random number for y that's less than 5.3.
2.6 + z = 5.3
And subtract 2.6 from both sides to find z.
2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7
And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
4/15 because it can't be reduced any more. I hope this helps you out! :D
