Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
I don't see the expression below.
Since the 40% discount applies to the number of cookies sold above 2 dozen, or 24, then if the number of cookies is c, then c - 24 is the number of cookies above 2 dozen. Answer is B.
Answer:
-25
Step-by-step explanation:
(1) y = -2x²
(2) y = 2x² + k Subtract (1) from (2)
0 = 4x² + k Subtract 4x² from each side
k = -4x²
The parabolas are <em>symmetrical about the y-axis.</em>
Segment AB = 5, so x = +2.5 and x = +2.5.
k = -4(±2.5)² = -4 × 6.25 = -25
Answer:
The answer to your question is: the first option - 9/ 
Step-by-step explanation:
Process
cosФ = adjacent side / hypotenuse
-1/9 = adjacent side / hypotenuse
adjacent side = -1 hypotenuse = 9
c² = a² + b²
b² = c² - a²
b² = 81 - 1
b =
b = opposite side
But b is negative because we are in the third quadrant.
b = -
Finally csc Ф = hypotenuse / opposite side
csc Ф = - 9 / 
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.