Answer:
8, 16, 64
Step-by-step explanation:
8 = 2^3 . . . a perfect cube
16 = 4^2 . . . a perfect square
32 = 2^5 . . . neither a cube nor a square
64 = 2^6 = 4^3 = 8^2 . . . both a perfect cube and a perfect square
128 = 2^7 . . . neither a cube nor a square
<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
<span>1. </span><span>Your total cost if 11.50 dollars.
It says that you ordered pancakes and a fruit cup
Pancake costs = x
Fruit cup cost = 1.50 dollars
you leave a tip = 15%
The equation would be:
=> (1.50 + x) .15 = 11.50 dollars
=> x = 11.50 – 1.50 x .15
=> Now, let’s find the cost of the
pancake
=> 11.50 - 1.50 fruit cake = 10
=> 10 x .15 tip = 8.5
Thus, the price of the pancake is 8.5</span>
Look at the pictures (examples)
m∠1 = m∠6 → answer: none
m∠2 = m∠3 → answer: none
m∠2 = m∠C → answer: none
Answer:
4.082 radians
Step-by-step explanation:
Here we want to convert 234° into radians.
To do it, we use the fact that pi radians is equal to 180°
Then we can write two equations:
x radians = 234°
3.14 radians = 180°
Where we want to find the value of x, which is the equivalent in radians to 234°.
Now we can take the quotient of these two equations to get:
( x radians)/(3.14 radians) = (234°/180°)
Solving this for x, we get:
x radians = (234°/180°)*(3.14 radians) = 4.082 radians.
