For this question here are the formulas,
Let T be the number of 10's
Let F be the number 5's
Let us find the 10's first by this formula.
<span>5(124 - T) + 10T = 840
</span>620-5T + 10T = 840
then
5T = <span>220
</span>5 5
T=44
<span>Now let's find the F using this formula.
</span>
5F + 10T = 840
Sustitute T
5F + 10(44) = 840
<u>5F</u> = <u>400
</u>5 5
F = 80
to Check
F + T = 124
80 + 44 = 124
Answer:
3.54 and 1.04
Step-by-step explanation:
Given:
Two towns are 1,100 miles apart.
A group of hikers Starts from each town and walks down the trail toward each other..
They meet after a total hiking time of 240 hours.
If one group travels 2 1/2 mile per hour slower than the other group.
<u>Question asked:</u>
Find the rate of each group.
<u>Solution:</u>
Let speed of faster hiker = 
Speed of slower hiker = 
<u>As we know:</u>
<u />
Total distance between two town = Total combined speed of both hikers
Total combined time taken


Speed of faster hiker =
= 3.54 miles per hour.
Speed of slower hiker =
=

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
The series in the form of arithmetic progression
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125