Noah and Han are preparing for a jump rope contest. Noah can jump 40 times in 0.5 minutes. Han can jump y times in x minutes, where y= 78x. If they both jump for 2 minutes, who can jump more times? How many more?

Noah Jumps more than Han in 2 minutes.

Noah jumps 4 more than Han in 2 minutes.

Step-by-step explanation:

Given:

Noah can jump 40 times = 0.5 minutes.

Han can jump y times in x mins.

We need to find who can jump more in 2 minutes and how much more.

Solution:

First we will find for Noah;

0.5 mins = 40 jumps

2 mins = Number of jumps in 2 mins.

Using Unitary method we get;

Number of jumps in 2 mins =

Hence Noah can jump 160 times in 2 minutes.

Now we will find for Han;

Han can jump y times in x mins.

⇒ Number of Jumps

⇒ Number of minutes.

So to find the number of jumps in 2 minutes we will substitute the value of x as 2 in above equation we get;

Hence Han can jump 156 times in 2 minutes.

Comparing number of jumps of Noah and han we can say that;

Noah Jumps more than Han in 2 minutes.

Also Noah jumps 4 more than Han in 2 minutes.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98