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Setler79 [48]
3 years ago
14

The explicit rule for a sequence is given. an= 2/5 (5)^n−1

Mathematics
1 answer:
34kurt3 years ago
3 0

Step-by-step explanation:

A geometric series is:

an = a₁ (r)^(n-1)

Here:

an = 2/5 (5)^(n-1)

So a₁ = 2/5, and r = 5.  So an = 5an-1.

Your answer is correct, well done!

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The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
3 years ago
5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the ply
Sholpan [36]
5w^2 = A
 
You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a) 
7 0
3 years ago
The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per
posledela
If $600=6 tons
$600=6*2000
$600=12,000
12000/$600=$20

It’s $20 per pound
5 0
3 years ago
brandon purchased three cheeseburgers for $1.29 each and two milkshakes for $2.75 each. If sales tax is 7.5%, what is the total
AlladinOne [14]
First you total the cheeseburgers and milkshakes which is 9.37
then you have to multiply 7.5% by 9.37 to find the tax in money which = .70
add them 9.37+.70
=10.07
 
8 0
3 years ago
Use the equation e/5 = 30 to solve the following problem,
kumpel [21]

Answer:

Step-by-step explanation:

300

4

6 0
3 years ago
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