ing 4 mi/hr faster than 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7 Britton

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Algebra 2 third edition ISBN: 978-1-64626-475-9 

I need help with number 6 please. 

t+u = 11 and (10t+u)
100
t-u= 5 =
= 16
2t
t = 8
(8) +u = 11
u=3
The number is 83.
(9t9u= 45
10t+u - 10u
☐A. Exercises
Write and solve a system of equations for each problem.
1. Find two numbers whose sum is 91 and whose difference is 17.
2. The sum of twice a number and a second number is 61. The second n
first: What are the two numbers?
(10t
After
the s
Check The s
ence
3. Jon invested $10,000 between two different stocks. One stock yielded
yielded a 5% return. How much is invested in each stock if his total re
4. Georgina has a total of $5000 invested in a savings account that receive
ceives 0.9% APY. How much does she have invested in each account if
is $37.50?
5. Two cars, 360 mi apart, start driving toward each other at the same time
traveling 4 mi/hr faster than the other, how fast is each car traveling?
6. Two speedboats leave the dock at the same time and travel in
opposite directions. One travels 9 mi/hr faster than the other.
After 2 hr the boats are 170 mi apart. How fast is each boat
traveling?
7. Brittany and Hanna can paddle 12 mi upstream in the same
time it takes to paddle 28 mi downstream. Determine their
paddling rate in still water if the stream flows at 2 mi/hr.
8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix,
AZ, in 4 hr with a tailwind; but it takes 3 hr to travel 975 mi
both the wind speed and the ni
from Phoenix to Boise, ID, into the same wind. Determin
Transcribed Image Text:t+u = 11 and (10t+u) 100 t-u= 5 = = 16 2t t = 8 (8) +u = 11 u=3 The number is 83. (9t9u= 45 10t+u - 10u ☐A. Exercises Write and solve a system of equations for each problem. 1. Find two numbers whose sum is 91 and whose difference is 17. 2. The sum of twice a number and a second number is 61. The second n first: What are the two numbers? (10t After the s Check The s ence 3. Jon invested $10,000 between two different stocks. One stock yielded yielded a 5% return. How much is invested in each stock if his total re 4. Georgina has a total of $5000 invested in a savings account that receive ceives 0.9% APY. How much does she have invested in each account if is $37.50? 5. Two cars, 360 mi apart, start driving toward each other at the same time traveling 4 mi/hr faster than the other, how fast is each car traveling? 6. Two speedboats leave the dock at the same time and travel in opposite directions. One travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat traveling? 7. Brittany and Hanna can paddle 12 mi upstream in the same time it takes to paddle 28 mi downstream. Determine their paddling rate in still water if the stream flows at 2 mi/hr. 8. A jetliner can travel 1700 mi from Fargo, ND, to Phoenix, AZ, in 4 hr with a tailwind; but it takes 3 hr to travel 975 mi both the wind speed and the ni from Phoenix to Boise, ID, into the same wind. Determin
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