P-1 = 5p+8p-8
p-1 = 13p-8 (collect like terms)
p+7 = 13p (add 8 to both sides)
7 = 12p (minus p from both sides)
7/12 = p (divide both sides by 12)
p = 7/12
Answer: none
1) combine like terms: 4x + 8 = 4x - 13
2) Add 13 to both sides (addition property of equality)
3) Subtract 4x from both sides (subtraction property of equality)
4) 21 does not equal 0
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
M is smaller than km
1000m=1km
so divide by 1000
basically move decimal 3 places to left
put zero in front
0.0548km
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
