Let the number of pieces of gum be g and the cost of each piece be c.
gc=2.16. Also, (g+3)(c-0.01)=2.16.
So gc=(g+3)(c-0.01)=gc-0.01g+3c-0.03.
And -0.01g+3c=0.03 and c=2.16/g. -0.01g+6.48/g=0.03.
-0.01g²+6.48=0.03g; 0.01g²+0.03g-6.48=0 which can be more conveniently written:
g²+3g-648=0=(g+27)(g-24) so g=24, the number of pieces she actually had.
CHECK The cost of the gum, c=2.16/24=9 cents.
A penny cheaper makes the gum 8 cents a piece and she could have bought 27 pieces instead of 24.
Answer:
The volume is 140 cm3. See the explanation below, please
Step-by-step explanation:
We use the formula:
Volume (V) = 4/3 pi r ^3
V= 4/3x 3, 14x (6,44/2)^3 = 139,8 cm3= 140 cm3
Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3
Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x
And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>
Answer:
a) square
b)square
c)they are the same thing because on all sides they are all the same length meaning the same shape
Step-by-step explanation:
Answer:
Step-by-step explanation:
