Answer: 1 & 4
1.25
Step-by-step explanation:
8,972 is the correct answer to your question
If we used “a” tons of grade A and “b” tons of grade B we would get a + b tons of mixture.
Converting to costs we get 36a + 24b = 33(a + b)
36a + 24b = 33a + 33b
36a - 33a = 33b - 24b
3a = 9b
a = 3b
This means the mixture contains 3 times as much of grade A than grade B
The ratio of grade A : grade B = 3 : 1
For example if we mixed 3 tons of A with 1 ton of B we would get 4 tons of mixture
The cost would be 3 x 36 + 1 x 24 = 108 + 24 = $132 for 4 tons = $33 per ton
Answer:
The scale factor for the dilation is 3.
Step-by-step explanation:
We are given that,
Rectangle ABCD is dilated to form the rectangle A'B'C'D'.
<em>To find the scale factor, we will find the ratio of the lengths of the rectangle.</em>
We see that,
A= (1,5) and B= (4,5). So, the length of side AB = 4-1 = 3
A'= (3,15) and B'= (12,15). So, the length of side A'B' = 12-3 = 9
So, the ratio of the sides AB : A'B' = 3 : 9 = 1 : 3.
Hence, we get that,
<em>Length of side A'B' is 3 times the length of side AB.</em>
This relation can be verified for other sides also.
Thus, the scale factor for the dilation is 3.
