You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
Answer:
There are <u>35 boys</u> in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
Answer:
302.4
Step-by-step explanation:
252% × 120 =
(252 ÷ 100) × 120 =
(252 × 120) ÷ 100 =
30,240 ÷ 100 =
302.4
1. Given (12+3)x, we can sum the numbers in the parenthesis to get 15x
2. Given 12x+3x, we can factor x to get (12+3)x and get the same as 1.
3. Given (12+3x)x, we have to distribute the x and we have 
4. This expression is already simplified.