Step-by-step explanation:
Given,
x = y - 3
Also,
6(y - 3) = 3y + 6
6y - 18 = 3y + 6
6y - 3y = 6 + 18
3y = 24
y = 24/3
y = 8
x = 8 - 3
x = 5
Therefore, the first number is 5 and the second number is 8.
Answer:
The equation is 
The slope is m=-4
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
y is the amount left in the saving account
x is the number of weeks
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The slope is equal to
--> is negative because is a decreasing function
The y-intercept or initial value is

substitute

Answer:
The volume of the smaller solid is 72 cm.
Step-by-step explanation:
Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:
108 = 162
48 = X
48 x 162/108 = X
7776/108 = X
72 = X
Therefore, the volume of the smaller solid is 72 cm.
Answer:
-102.4 = v
Step-by-step explanation:
-15.9 = -3.1 + v/8
Add 3.1 to each side
-15.9 + 3.1 = -3.1+3.1 + v/8
-12.8 = v/8
Multiply each side by 8
-12.8 * 8 = v/8*8
-102.4 = v
One gross is 144 nails. You have to multiply 22 by 144 to see how many nails in total there are:
22 * 144 = 3168
One dozen has 12 items. So in order to see how many dozens there are, you have to divide 3168 by 12:
3186 / 12 = 264
The correct answer is 264 dozens.