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" It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 93
av John Bonnycastle - 1818 - 260 sider
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A Collection of Algebraic Problems, Designed for Drill and Review in ...

Joseph Ficklin - 1874 - 204 sider
...traveled the same distance in three hours less time. At what rate did he travel? Ans. 3 miles per hour. 4. Divide the number 60 into two such parts that their product shall be 704. Ans. 44 and 16. 5. A man starts from the foot of a mountain to walk to its top. His rate of walking...
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New University Algebra

Horatio Nelson Robinson - 1875 - 430 sider
...remainders will be to each other as 1 to 4. What are the numbers ? Ans. 5 and 8. 7. Divide the number 27 into two such parts, that their product shall be to the sum of their squares as 20 to 41. Ans. 12 and 15. 8. In a mixture of rum and brandy, the difference between the quantities...
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Journal: Appendix. Reports

California. Legislature - 1875 - 534 sider
...each day 3 miles. How many days must he travel at this rato to go 438 miles? 10. Divido the number 27 into two such parts, that their product shall be to the sum of their squares as 20 to 41. 1. Defino the terms absorption, secretion, nutrition, and respiration. 2. What gives color...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1879 - 322 sider
...the number 40 into two such parts, that the sum of their squares shall be 818. Ans. 23 and 17. 13. Divide the number 60 into two such parts, that their...their squares in the ratio of 2 to 5. Ans. 20 and 40. The last two Problems, as well as some others, lead to pure quadratic equations, when we let x —...
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University Algebra

Webster Wells - 1879 - 468 sider
...parts that the greater increased by 3, shall be to the less diminished by 3, as 3 to 2. 10. Divide 27 into two such parts that their product shall be to the sum of their squares as 20 to 41. 12. The sum of two numbers is to their difference as 10 to 3, and their product is 364....
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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - 1879 - 348 sider
...to th;!ir sum as 3 to 5, aud their sum is to their product as 5 to 16? Ans. 16 and 4. 15. Divide 30 into two such parts that their product shall be to the sum of their squares as 6 to 13. Ans. 12 and 18. 16. A aud B gained $975 by trading, which they divided in such a manner...
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880 - 176 sider
...for example, x» — 6' x, я? + 2 bx + V. 8. Solve the equations : Q * ' /a\ За; W 17 1 and (3) divide the number 60 into two such parts that their...be to the sum of their squares in the ratio of 2 to 6. 4. If a:b::c:d, prove that ma + nb: pa + qb:: mc+nd: pc + qd. How does it appear that Euclid's definition...
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Annual Report

1886 - 438 sider
...to the south corner, 37 feet. Required : the area of the lot. Question 5. Divide the number 15 inte two such parts that their product shall be to the sum of their squares in the ratio of 2 to 5. This problem to be solved algebraically. (Fourth subject: Mechanical drawings,) A Patent-Office drawing...
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Assessing Mathematical Proficiency

Alan H. Schoenfeld - 2007 - 412 sider
...the same rate whether working alone or with others, and the same for B and C.] Divide the number 27 into two such parts, that their product shall be to the sum of their squares as 20 to 41. A May -pole is 56 feet high. At what distance above the ground must it be broken in order...
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