Answer:
x = 27/5
Step-by-step explanation:
Step 1: Write equation
-12 = -5(x - 3)
Step 2: Solve for <em>x</em>
- Distribute -5: -12 = -5x + 15
- Subtract 15 on both sides: -27 = -5x
- Divide both sides by -5: x = 27/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-12 = -5(27/5 - 3)
-12 = -5(12/5)
-12 = -12
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute the 3
3(x) = 3x
3(1) = 3
We now have 45 = 3x + 3
Subtract 3 from both sides
45 - 3 = 42
3 - 3 cancels out
We now have 42 = 3x
Divide both sides by 3
42/3 = 14
3x / 3 = x
We're left with x = 14
Answer:
$21.44 or answer D
Step-by-step explanation:
68.99-57=11.99
37.80 x 25/100=9.45
9.45+11.99=21.44
hope this helps you
Answer:
The asteroid will not take out Lois' penthouse.
Step-by-step explanation:
Since the distance between Clark and the base of Lois' building is x = 75 feet and the asteroid is at an angle of elevation of Ф = 62°. These two components form a right-angled triangle with opposite side h which is the height of the asteroid above the ground.
So, by trigonometric ratios,
tanФ = h/x
h = xtanФ
h = 75 ft × tan62°
h = 75 ft × 1.8807
h = 141.1 feet
Since h = height of asteroid above the ground = 141.1 feet is greater than height of the penthouse above the ground = 100 feet, the asteroid will not take out Lois' penthouse.
