The ratio of Reeta's age and Site's age is 3:5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be
Answer:
7/15
Step-by-step explanation:
0.4
6 = 0
.
6 - 0.2
0.46 = 6/9 ⋅ 0.9 - 0.2
0.46 = 6/9 - 1/5
0.46 = 2/3 - 1/5
0.46 = 10/15 - 3/15
0.46 = 7/15
Note that 7 and 15 have no common factors larger than 1
, so this is in simplest terms.
Answer: The mean temperature for the first eight days is 6.5 degrees
Step-by-step explanation: The most important piece of clue has been given which is the mean (average) for the observed data set, which is 7 days.
Note that the formula for the mean of a data set is derived as;
Mean = ∑x / f
Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;
6 = ∑x / 7
By cross multiplication, we now have,
6 * 7 = ∑x
42 = ∑x
This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;
Mean = ∑x / 8
Mean = 52 / 8
Mean = 6.5
The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees
Answer:
x = 11
y = 17
Step-by-step explanation:
5y and (7y - 34) are vertical angles which means they're equal to each other:
5y = 7y - 34
5y - 7y = -34
-2y = -34
y = 17
(8x + 7) and (9x - 4) are also vertical angles:
8x + 7 = 9x - 4
8x - 9x = -4 - 7
-x = -11
x = 11
