Answer:
Sheila had 24 cupcakes, she gave 1/3 of them to Caleb. How many cupcakes did she give to Caleb?
Step-by-step explanation:
24 x 1/3 = 8
She gave 8 cupcakes to Caleb.
Answer:
Step-by-step explanation:
From the problem statement, we can set up the following two equations:


where
is the number of Knicks players, and
is the number of Nets players.
We can substitute the first equation into the second and solve for 








Refer to the edited figure.
Triangles ABC and A'B'C' are similar because of AAA.
Also,

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.
Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.
To
answer this item, we use the equation given for the calculation of the area of
the triangle.
A
= 0.5bh
Substituting
the known expressions,
A = (0.5)(3x – 6)(2x + 4)
Part
A: Use distribution method to simplify the expression for the calculation of
area.
A
= 0.5(6x^2 + 12x – 12x – 24)
A
= 0.5(6x^2 – 24)
<span> A
= 3x^2 – 12</span>
Part B: The equation for area of has a degree of two
because the highest exponent is 2.
<span>Part
C: The closure property of polynomials is always closed for multiplication.</span>
The rate of change of the balance was $175 per deposit which is C