A)2y - 1/2 = -1/3
2y=-1/3+1/2
FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS
LCM OF 3 AND 2 IS 6
-1/3*2=-2/6
1/2*3=3/6
-2/6+3/6=1/6
2y=1/6
y=1/6 ÷ 2
TAKING THE RECIPROCAL,
RECIPROCAL OF 2 IS 1/2
y=1/6*1/2
y=1/12
B) 6 + 5 (a - 1) = 30
6+(5)*(a)+(5)*(−1)=30(Distribute)
6+5a+−5=30
(5a)+(6+−5)=30(Combine Like Terms)
5a+1=30
5a=30-1
5a=29
a=29/5
15.sum of three consecutive integers=48
let the numbers be x ,x+1,x+2
x+x+1+x+2==48
3x+3=48
3x=48-3
3x=45
x=45/3
x=15
x+1=15+1=16
x+2=15+2=17
the numbers are 15,16,17
Answer:
Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:
Answer:
3/15 in the simplest form is 1/5....
when you divide by 3 it gives 1/5.
The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides
a.
2x+3x-5+4x+2=63 is an equation
b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9
2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9
the side lengths are 136/9in, 53/3in, and 290/9in
Answer: 471.24
Step-by-step explanation:
V=πr2h=π·52·6≈471.2389
