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 Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era. Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.
The famous white and blue porcelain of China originated in the era of the Ming Dynasty.
Step-by-step explanation: hoped this helped :)
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.
Since 2 movie tickets equal to $15 I am only left to assume we are adding $7.50 to every movie ticket, going by that logic
7.50x4=30
Answer: It would cost $30 for 4 movie tickets.
