Let's compare!
Taylor ran 57 + 48 mins total. Sum would be 105 mins.
Mark ran 62 + 53 mins total. Sum would be 115 mins.
Clearly, the two sums are different when we compare them using subtraction.
115 - 105 = 10. Mark ran 10 mins longer than Taylor.
Answer:
29. A.
1. its between B and C I think I'm not totally sure just guess on it try your best.
30. B.
Answer:
1 pound or 3/3
Step-by-step explanation:
Subtract the green peppers from the total (5/3 - 2/3 = 3/3)
To convert to a whole number, divide 3 by 3, which equals 1, so 1 whole pound of red peppers.
A cube shaped box of side length equal to m foot has volume
![m*m*m= m^{3}](https://tex.z-dn.net/?f=m%2Am%2Am%3D%20m%5E%7B3%7D%20)
foot cubed.
a.
Let v1 be the volume of the box with side length 1 ft.
and v2 be the volume of the box with side length x ft.
![V1=1^{3}=1](https://tex.z-dn.net/?f=V1%3D1%5E%7B3%7D%3D1)
(foot cubed)
![V2=x^{3}](https://tex.z-dn.net/?f=V2%3Dx%5E%7B3%7D)
(foot cubed)
Vtotal=
![V1+V2=1+x^{3}](https://tex.z-dn.net/?f=V1%2BV2%3D1%2Bx%5E%7B3%7D)
feet cubed
b.
by the "sum of cubes" identity:
![x^{3}+1=(x+1)( x^{2} -x+1)](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B1%3D%28x%2B1%29%28%20x%5E%7B2%7D%20-x%2B1%29%20)
,
this identity can be derived by dividing
![x^{3}+1](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B1)
by (x+1), by long division.
c. Vtotal when x=3 feet is:
Vtotal=
![V1+V2=1+3^{3}=1+27=28](https://tex.z-dn.net/?f=V1%2BV2%3D1%2B3%5E%7B3%7D%3D1%2B27%3D28)
(feet cubed)
Answer:
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Step-by-step explanation:
Given
Quadrilateral QRST
Dilated Factor = 2
Required
Find the coordinates of Q'R'S'T'
To do this, we first have to identify the coordinates of QRST
![Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)](https://tex.z-dn.net/?f=Q%20%3D%20%28-2%2C2%29%5C%5CR%20%3D%20%282%2C2%29%5C%5CS%20%3D%20%282%2C-2%29%5C%5CT%20%3D%20%28-2%2C-2%29)
Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below
Q'R'S'T' = 2 * QRST
Q' = 2 * (-2,2)
<em>Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)</em>