Answer:
Equation: 10+x= 15 +0.5x
Time: 10 days
Amount: 20$
Step-by-step explanation:
<u>Equation for Benito:</u>
<u>Equation for Tavon:</u>
<u>Since the sums equalize at some time, we get:</u>
- 10+x= 15 +0.5x
- x - 05x = 15- 10
- 0.5x = 5
- x= 5/0.5
- x= 10 days
After 10 days, Juan will owe both Benito and Tavon $20
Randomly only means that Nobody says before that the candidates must have a certain characteristic(e.g. that they have to be Male) and that Nobody knows before who gets chosen.
Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.
We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.
We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:
Now let us solve our equation to find Daniel's present age.




Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.

Therefore, Kevin is 24 years old now.
Answer:
the ratio of perimeters is 3/5
the ratio of areas is 9/25
Step-by-step explanation:
first we divide the given sides of both figures
perimeter=side 1/side 2
=15/25
p=<u>3</u><u>/</u><u>5</u>
to find the ratios of the area
=(side 1/side 2)^2
=(3/5)^2
=<u>9</u><u>/</u><u>2</u><u>5</u>
Answer: B. 0.036
Step-by-step explanation:
Formula for standard error :

, where p = Population proportion and n= sample size.
Let p be the population proportion of the people who favor new taxes.
As per given , we have
n= 170

Substitute these values in the formula, we get

Hence, the standard error of the estimate is 0.036.
∴ The correct answer is OPTION B. 0.036