Think of two ropes next to each other. Draw a picture if it helps. To find how much longer, start with the longer one and subtract the shorter length to get the difference, or “how much longer.”
To subtract fractions they have to be changed to the same denominator. First change 3 2/3 to a complex fraction; multiply the coefficient 3 times the denominator 3, then add the numerator. 3X3=9. 9+2=11 . 11 is now numerator, use same denominator. So you get 11/3. Then change denominator to 9. To do this you have to multiply by what? You would multiply by 3. Do the same to the numerator: 11 X 3=33. The fraction becomes 33/9. Now you can subtract. Now that both have the same denominator, you just subtract the numerators. 33-8=25. So, 33/9-8/9= 25/9
Answer:f(x)=x2 +1
Step-by-step explanation:
The one represents C in the standard form and it can also be used to represent graph placement so +1 can also represent the vertex going up 1 on the y
Answer:
Circumference = 10π
Step-by-step explanation:
First identify the circumference formula as such:
2πr (where r ⇒ radius, π ⇒ pi)
Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:
πd (where d ⇒ diameter, π ⇒ pi)
If we know the diameter = 10 inches, substitute in the circumference formula πd to get:
π * 10 inches = 10 * π inches = 10π inches
Answer:
quotion is 104 and remainder is 6
<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
