Answer: x=-6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(9−x)=3(x+16)
Step 1: Simplify both sides of the equation by distribution
Step 2: Subtract 3x from both sides.
Step 3: Subtract 18 from both sides.
Step 4: Divide both sides by -5.
Answer: B
Step-by-step explanation:
8 x (-6) + 5 x 7 = (-13)
-6+ 7 = 1 hope this helps.
First, 27 = 3³, so 27¹⁵ = (3³)¹⁵ = 3⁴⁵.
So we have
27¹⁵ ≡ 3⁴⁵ (mod 33)
and
3 ≡ 3 (mod 33)
3² ≡ 9 (mod 33)
3³ ≡ 27 (mod 33)
3⁴ ≡ 81 ≡ 15 (mod 33)
3⁵ ≡ 3 • 15 ≡ 45 ≡ 12 (mod 33)
From here, the cycle continues:
3⁶ ≡ 3 • 12 ≡ 36 ≡ 3 (mod 33)
3⁷ ≡ 3 • 3 ≡ 9 (mod 33)
and so on.
This is to say that, for each power of 3, where the power is a multiple of 5, the remainder will always be 12, i.e. for any positive integer <em>k</em>,
Let the measures of three angles be 5x, 7x, 8x
Sum of angles of a triangle = 180°
5x + 7x+ 8x = 180°
20x = 180
x = 180/20 = 9
First angle = 5x = 5*9 = 45°
Second angle = 7x = 7*9 = 63°
Third angle = 8x = 8*9 = 72°
I hope it is helpful:D
31.35d + 0.15(275) </= 280
Step-by-step explanation:
(Daily cost x number of days) + (mileage cost x number of miles) is less than or equal to $280.
If they ask you to solve it next:
31.35d + 0.15(275) </= 280
31.35d + 41.25 </= 280
31.35d </= 238.75
d </= 7.615629998
Round it down to 7 full days