Answer:
2.36153*10^10 possibilities
Step-by-step explanation:
Given:
- 5 Different number selected from 1 - 56
- 1 number selected from 1 - 46
Find:
In how many ways can these numbers be selected?
Solution:
- The number of ways to select 5 different numbers from range 1 - 56:
_ _ _ _ _
57*56*55*54*53 = 502,452,720 possibilities
- The number of ways to select 1 numbers from range 1 - 46:
47 possibilities.
- The number of possibilities for the entire lottery game:
47 * 502,452,720 = 2.36153*10^10 possibilities
Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
Answer: The answer is
Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.
To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by
matches exactly with the graph given in the question. The attached figure will show the graph for this function, which is exactly same as given.
Thus, the correct option is
50-35=15 pounds decreased
15/50=x/100
x=1500/50
x=30
It is a 30% decrease.