Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = 
= 
=
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³



= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Answer:
y = 2x+10
Step-by-step explanation:
y is the cost (which we don't know)
2x is the $2 per card with x representing the number of cards (which we don't know)
And of course 10 is the cover charge.
Answer:
10/12 or 5/6
Step-by-step explanation:
1/2 + 1/2 = 1
5/12 + 5/12 = 10/12 or 5/6
16x+60y
16(.75)+60(.25)
12+15=27
maria would charge $27 for this necklace
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229