Key to Dodd's Algebra: Containing All the Problems, and the More Difficult Equations, in that Work. With Their Solutions: Designed to Facilitate the Labor of TeachersPratt, Oakley & Company, 1859 |
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Σελίδα 14
... minute spaces . Let x represent the number of these spaces passed over by the hour hand before the two hands are next together . Then , since the minute hand moves 12 times as fast as the hour hand , 12x represents the number of spaces ...
... minute spaces . Let x represent the number of these spaces passed over by the hour hand before the two hands are next together . Then , since the minute hand moves 12 times as fast as the hour hand , 12x represents the number of spaces ...
Σελίδα 25
... minute . How much flows through each pipe in a minute ? Let x , y , and z respectively represent the number of gallons that flow through each pipe per minute . Then , since 20x , 20y , and 20z respectively represent the number of ...
... minute . How much flows through each pipe in a minute ? Let x , y , and z respectively represent the number of gallons that flow through each pipe per minute . Then , since 20x , 20y , and 20z respectively represent the number of ...
Σελίδα 144
... minute hands were exactly together . What was the time ? Let x represent the number of minute spaces moved over by the hour hand since 8 o'clock ; then 12x represents the number of minute spaces moved over by the minute hand in the same ...
... minute hands were exactly together . What was the time ? Let x represent the number of minute spaces moved over by the hour hand since 8 o'clock ; then 12x represents the number of minute spaces moved over by the minute hand in the same ...
Σελίδα 172
... minutes before he came to 31st mile stone . Where was B when A reached London ? Let x represent the number of miles each traveled per hour ; then since the geese were moving at the rate of miles per hour , and were overtaken by B at the ...
... minutes before he came to 31st mile stone . Where was B when A reached London ? Let x represent the number of miles each traveled per hour ; then since the geese were moving at the rate of miles per hour , and were overtaken by B at the ...
Σελίδα 173
... minutes or of an hour before coming to the 31st mile stone , 2x 93 + 2x London when it met B ; 31+ or 3 ' 2 3 represents the distance of the wagon from 93+ 2x - ( 50-2x ) , or 3 8x - 57 3 represents the distance the 3 ΟΙ 4 ' represents ...
... minutes or of an hour before coming to the 31st mile stone , 2x 93 + 2x London when it met B ; 31+ or 3 ' 2 3 represents the distance of the wagon from 93+ 2x - ( 50-2x ) , or 3 8x - 57 3 represents the distance the 3 ΟΙ 4 ' represents ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
100 represents 2x represents adding similar terms arithmetical means Arithmetical progression asked the ages bushels Clearing this Equation common difference Completing the square Divide the number Dividing both sides easily found Equation of fractions Equation will give Extracting the square Find the values find x=2 found equal fourth Equation Geometrical progression hence less number Let x represent Multiplying number of days number of gallons number of hours number of miles number of pounds number of shillings number of terms number of yards problem rate per cent ratio of percentage remainder represent A's share represent the greater represent the length represent the less represent the sum represents the amount represents the distance represents the interest represents the number represents the percentage second Equation square rods square root Squaring both sides Substituting these values Substituting this value third Equation Transposing uniting similar terms value of x whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 156 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Σελίδα 143 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Σελίδα 13 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from, home, it lasted the woman 30 days ; how many days would the man be in drinking it alone ? Ans.
Σελίδα 27 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 146 - Two persons, A and B, can perform a piece of work in 16 days. They work together for four days, when A being called off, B is left to finish it, which he does in 36 days. In what time would each do it separately?
Σελίδα 172 - Geese, which were proceeding at the rate of 3 miles in 2 hours, he afterwards met a stage wagon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of Geese at the 45th mile stone, and met the same stage wagon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London 1 Solution.
Σελίδα 31 - Two pedestrians start from the same point; the first steps twice as far as the second, but the second makes 5 steps while the first makes but one. At the end of a certain time they are 300 feet apart. Now, allowing each of the longer paces to be 3 feet, how far will each have travelled?
Σελίδα 152 - There were 22 sailors to every three guns, and 10 over ; also, the whole number of hands was five times the number of soldiers and guns together. But after an engagement, in which the slain were* one-fourth of the survivors, there wanted 5 men to mako 13 men to every two guns: required, the number of guns, soldiers and sailors.
Σελίδα 22 - To divide the number 36 into three such parts that ~ of the first, ^ of the second, and } of the third may be all equal to each other ? Ans.
Σελίδα 59 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.