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:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
I’m assuming the numbers are 2/3 and 3/4 so find the common denominator. 2/3x4=8/12 and 3/4x3=9/12 so 8/12+9/12= 17/12 or 1 and 5/12
Answer:
B
Step-by-step explanation:
<em>Let 
be the radius of one sphere.</em>
- Volume of sphere is
Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere:
- Volume of Cylinder is
Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
Answer:
2249999.99524
Step-by-step explanation:
The answer would be 2249999.99524
Or just 224999
Sorry for the last answer!
