Answer:
x = -
Step-by-step explanation:
4x - 3 = -x - 8
<=> 4x + x = -8 + 3
<=> 5x = -5
<=> x = -
Answer:
slice priced $1.50 is better value
Step-by-step explanation:
Angles around a point add up to 360°
Area of a circle = πr²
360° ÷ 60° = 6
⇒ This slice is 1/6 of the whole pizza
⇒ area of the slice = (1/6)π × 6² = 6π in²
⇒ $1.50 ÷ 6π = $0.079577... per in²
360° ÷ 45° = 8
⇒ This slice is 1/8 of the whole pizza
⇒ area of the slice = (1/8)π × 7² = (49/8)π in²
⇒ $1.70 ÷ (49/8)π = $0.088347.. per in²
Therefore, the slice priced $1.50 is cheaper per in²
Answer:
t = 2, t = 3, t = 4, and t = 6.
Step-by-step explanation:
So, we can plug in each t value into the equation to see if it is correct.
9(2) ≤ 107
18 ≤ 107
This is correct because the equation is looking for something that is less than or equal to 107.
9(3) ≤ 107
27 ≤ 107
Same reason as stated above.
9(4) ≤ 107
36 ≤ 107
Same reason as stated above.
9(6) ≤ 107
54 ≤ 107
Same reason as stated above.
Therefore, t = 2, t = 3, t = 4, and t = 6 are all solutions to the inequality.
Let x = the smaller angle
then 2x + 6 = the larger angle
Since they are comlementary, then their sum is 90°
smaller angle + larger angle = 90°
(x) + (2x+6) = 90
3x + 6 = 90
3x = 84
x = 28 (this is the smaller angle)
the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62
Answer: smaller angle is 28, larger angle is 62
It will take approx.65 of caffeine remaining after 6 hours
