Answer:
see explanation
Step-by-step explanation:
Given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition r = 4 when M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
(a)
when r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
when M = 540 , then
540 = 2.5r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
= r , thus
r = 6
Answer:
x= 0
Step-by-step explanation:
Let's first simplify the equation to make the PEMDAS process easier.
8x-10=3x-10+7x
8x-10=10x-10
Now lets start the subtracting and dividing process.
8x=10x
0=2x
0=x
Solve the first equation for y
Substitute the given value of y into the equation -5x-y=21
When there is a - in front of an expression in parentheses, change the sign of each term in the expression
Collect like terms
Move the constant to the right-hand side and change its sign
Add the numbers
Divide both sides of equation by -3
Substitute the given value of x into the equation y=4x+6
Multiply the numbers
Calculate the difference
The possible solution of the system is the ordered pair (x,y)
B, E, and F
A monomial has only one term
Answer:
Jusy give me that coins
Step-by-step explanation:
Idk the answer im dum jk i think it is 329