When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:



Calculate the total number of beads used for all three designs



The number of available beads is:

Divide 750 by 83, to get the total number of designs


Remove decimal (do not approximate)

The number of beads remaining is calculated using:



Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Answer:
X = 10 or scale factor is 2.5
Step-by-step explanation:
first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.
Answer:
Yes
Step-by-step explanation:
since 12 is less than 13
The solution of
is 
<em><u>Solution:</u></em>
Given that we have to find the solution of given expression
Given expression is:

Let us first convert the mixed fraction to improper fraction
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,


Now the expression becomes,

Solve and simplify the above expression

In decimal form we get,

Thus the solution to given expression is found