Answer:
The number of quarters Josie has in her collection of 92 coins 28 quarters
Step-by-step explanation:
The given information are
The total number of coins Josie has = 92
Let the number of quarters she has = x
Therefore, 92 = 8 + 3×x
8 + 3×x = 92
3×x = 92 - 8 = 84
3×x = 84
x = 84/3 = 28
x = 28
The number of quarters Josie has in her collection of 92 coins = 28 quarters.
The figure is made up of a cone and a cylinder.
Diameter = 16 ft
radius = 16÷2 = 8ft
Volume of the cone = 1/3bh
Volume of the cone =

Volume of the cone =

= 402.12
Volume of the cyclinder = bh
Volume of the cylinder =

Volume of the cylinder =

= 1206.37
Total = 402.12 + 1206.37 = 1608.49 cubic feet
Y = -3(2) +22
Y = -6 +22
Y = 16
We know that
Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)
in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)
see the attached figure
the answer is the option
<span>
A. Cardioid </span>
Answer:x = 9/16
Step-by-step explanation:
2x + 3 = 6x - 4
/3
First you gotta get rid of the divided by 3
2x / 3 = 2/3x and 3 / 3 = 1
Now you have
2/3x + 1 = 6x - 4
Second you have to get rid of the 2/3x on the left side
2/3x + 1 = 6x - 4
-2/3x -2/3x
1 = 5 1/3x - 4
Third you have to get rid of the -4
1 = 5 1/3x - 4
-4 -4
-3 = 5 1/3x
Fourth you have to divide by 5 1/3
-3 = 5 1/3x
/ 5 1/3 / 5 1/3
x = 9/16