Answer: y = 3
Step-by-step explanation: You're given x, find y.
- -2(-3) + 3y = 12 (substitute in for x)
- 6 + 3y = 12 (multiply)
- 3y = 9 (divide both sides by 3)
- 3 = y
Answer: The required number of boys in the class is 18.
Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.
We are to find the number of boys in the class.
Let 8x and 6x represents the number of girls and boys in the class.
Then, according to the given information, we have

Therefore, the number of boys in the class is given by

Thus, the required number of boys in the class is 18.
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
Answer:
2(x - 9.46)(x + 2.54)
Step-by-step explanation:
2(x² - 12x + 24)
since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:
6+2
, 6-2
93×10^6 = 93000000
It is equal to 93 million (with exactly 6 zeroes).