Answer:
(a)There are 24 cakes in total
(b)There are 15 pieces of cakes left
Step-by-step explanation:
Let the total cakes=x
Let number of cakes eaten by Mindy=m
Let number of cakes eaten by Troy=t
Now:
m=3
Since m+t=9
3+t=9
t=9-3=6
The Number of Pieces of Cake Left in Total=x-(t+m)
Since Troy had 
of the total cake
x=6X4=24
(a)There are 24 cakes in total
(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes
Answer:Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth Which is an integer that can be inserted on the ...
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
