Answer:
Jack ran 38 km and Ted ran 43 km.
Step-by-step explanation:
Let Jack’s displacement be 
The volume of this prism is
V=l*w*h
rewrite the mixed number as fractions
V= 11 3/5* 9* 12 1/2=
V= 58/5 *9/1* 24/2
V=58*9*24/5*2
V=12528/10=1252 8/10 m^3
or
V=1252.80m^3
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
Yes, <span>53.33/3=17.776666</span>
Answer:
(-5,-28)
Step-by-step explanation:
Given
Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is
By comparison;
To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;
Substitute 10 for b and 1 for a
Substitute in the given function;
<em>Hence, the coordinates of the vertex is (-5,-28)</em>
