Complete Secondary AlgebraFisher and Schwatt, 1901 - 288 páginas |
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Página 297
... yards more for the same money , each yard would have cost him 5 cents less . How many yards did he buy ? Let x stand for the number of yards the man bought . Then 1 yard cost cents . If he had bought x + 3 yards for the 300 X same money , ...
... yards more for the same money , each yard would have cost him 5 cents less . How many yards did he buy ? Let x stand for the number of yards the man bought . Then 1 yard cost cents . If he had bought x + 3 yards for the 300 X same money , ...
Página 298
... yards of cloth . If the number of dollars a yard be equal to three - sixteenths of the number of yards , how many yards did he sell ? 15. In a company of 14 persons , men and women , the men spent $ 24 and the women $ 24. If each man ...
... yards of cloth . If the number of dollars a yard be equal to three - sixteenths of the number of yards , how many yards did he sell ? 15. In a company of 14 persons , men and women , the men spent $ 24 and the women $ 24. If each man ...
Página 309
... yards long and 19 yards wide . How many yards must be added to its width and how many yards must be taken from its length , in order that its area may remain the same while its perimeter is increased by 24 yards ? 12. The floor of a ...
... yards long and 19 yards wide . How many yards must be added to its width and how many yards must be taken from its length , in order that its area may remain the same while its perimeter is increased by 24 yards ? 12. The floor of a ...
Página 311
... yards to 14 yards is 21 : 14 , 14 16 Observe that by this definition the ratio of two concrete quantities is a number . Also that the quantities to be com- pared must be of the same kind . Dollars cannot be compared with pounds , etc. 4 ...
... yards to 14 yards is 21 : 14 , 14 16 Observe that by this definition the ratio of two concrete quantities is a number . Also that the quantities to be com- pared must be of the same kind . Dollars cannot be compared with pounds , etc. 4 ...
Página 322
... yards long in the centre of a field , and eats all the grass within his reach in 2 days . How many days would it have taken the ox to eat all the grass within his reach if the rope had been 10 yards longer ? The area varies as the ...
... yards long in the centre of a field , and eats all the grass within his reach in 2 days . How many days would it have taken the ox to eat all the grass within his reach if the rope had been 10 yards longer ? The area varies as the ...
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Términos y frases comunes
a₁ arithmetical means arithmetical progression assume b₁ b₂ coefficient column common logarithms continued fraction convergent series corresponding d₁ d₂ decimal places denominator depressed equation determinant digits divergent series Dividing elements equal equation whose roots EXERCISES expansion factor figure Find the value finite number Form the equation geometrical means geometrical progression given equation given series graph harmonical mean Hence increases indefinitely infinite series last term less limit logarithms mantissa method multiplying nth term number of combinations obtained partial fractions partial quotient permutations preceding article principle quadratic equation r₁ r₂ ratio real roots reciprocal equation result root of f(x S₁ second member series is convergent solution Solve the equation Sturm's Theorem Substituting subtracted transformed equation u₁ U₂ unknown number variable variations of sign whence wherein x-axis
Pasajes populares
Página 415 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 354 - C„.r. That is, the number of combinations of n dissimilar things r at a time is equal to the number of combinations of the n things n — r at a time.
Página 351 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Página 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Página 317 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 310 - Two workmen can do a piece of work in 6 days. How long will it take each of them to do the work, if it takes one 5 days longer than the other ? 19.
Página 360 - V(a2 — °^)> etc-, are functions of x ; corresponding to any value of x, the first function has one value, the second has two values. Again, the area of a circle is a function of its radius ; the distance a train runs is a function of the time and speed. 4. Much simplicity is introduced into mathematical investigations by employing special symbols for functions. The symbol f(x), read function of x, is very commonly used to denote a function of x.
Página 315 - In any proportion the terms are in proportion by. Composition ; that is, the sum of the first two terms is to the first term, as the sum of the last two terms is to the third ter.n.
Página 323 - If a body falls 256 feet in 4 seconds, how far will it fall in 10 seconds?
Página 373 - An infinite series is said to be divergent when the sum of the first n terms can be made numerically greater than any finite quantity by taking n sufficiently great.