Answer:
16 and 48
Step-by-step explanation:
let the 2 integers be x and 3x ← ratio 1 : 3
Then
3x - x = 32 ← difference between the integers
2x = 32 ( divide both sides by 2 )
x = 16
and 3x = 3 × 16 = 48
Since magnitude of difference is 32
We can also express the difference as
x - 3x = 32
- 2x = 32 ( divide both sides by - 2 )
x = - 16
and 3x = 3 × - 16 = - 48
The 2 integers are 16 and 48 or - 16 and - 48
1234 the diagram shows two shaded shapes A and B
P(Larger or blue) = 7/10. In a bag we have blue and red marbels, which are large and small as in the table shown in the image, the probability of taking a large or blue marble is 7/10.
The key to solve this problem is find the probability of the union events using the equation P(A∪B) = P(A) + P(B) - P(A∩B).
For this problem we have P(Large or Blue) = P(Large) + P(Blue) - P(Large and Blue). The total of the large ones is 25 and the small ones is 15, meaning that the sum of both is 40. P(large) = 25/40, P(Blue) 20/40, and P(Large and Blue) = 17/40
P(Large or Blue) = 25/40 + 20/40 - 17/40 = 28/40 dividing by 4 both terms of the fraction.
P(large or Blue) = 7/10
Answer: a. x = 45 b. No
Explanation: a. 360-90=270
3x+2x+x= 6x and 6x=270 so divide both sides by 6x and x = 45
b. As you can see from the image below None of the lines would be parallel.
Answer: 
Step-by-step explanation:
For this exercise it is necessary to remember that the area of a circle can be calculated with the following formula:
Where "A" is the area of the circle and "r" is the radius of the circle.
In this case, based on the information given in the exercise, you know that the circular plate has the following radius:
Therefore, knowing the radius, you can substitute them into the formula and finally, you must evaluate in order to calculate the area of the plate (Remember that you must use 3.14 for 
).
Then, you get that this is:
