麻烦回答一下几道英文数学题.
麻烦回答一下几道英文数学题.
1、if the product of two positive integers is a prime number what must be the value of the smaller integer?
high tide
2、a mark M,on a cliff is 1.96m below sea level at high tide .at low tide the sea level is 4.18m lower than at high tide.
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| 1.96m
M *
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low tide
at a certain time the sea level is exactly half way between high tide and low tide .how far is the sea level below M at this time?
3、the number 168 and 324,written as the products of thier prime factors ,are
168=2^3 * 3 * 7 324=2^3 * 3^4
the smallest positive integer value of n for which 168n is a multiple of 324?
4、it is required ti find a rational number which is equal to the recurring decimal number 0.73737373……
hence express 0.737373……in the form a/b where a and b are integers?
5、find,in its simplest form,the fraction which is exactly halfway between 13/17 and 14/17?
6、each of the 50 seats at the front of a cinema sells for half the price of one of the remaining seats .there are 200seats altogether and when every seat is sold the takings are $525.
find the price of a seat at the front of the cinema.
7、an athlete walks a distance of 1 km at an average speed of 6 km/h and then,without stopping,runs further distance of 800 meters in 2minutes.
his average speed for the whole journey in km/h.
问题可能有点多,但是应该都不是太难.第二题的图是自己打上去的,辛苦大家了.记得写一下汉语翻译哈.
1. 两个正整数的积是质数,其中二者较小的是哪个?
是 1
2. 悬崖上有个记号M, 潮水位最高时,M低于海面1.96m.潮水位最低时,海面低于最高水位4.18m.某时刻,海面在最高和最低水位正中间,此时海面比M低多少?
M is 4.18 - 1.96 = 2.22 m above low tide (M 比最低水位高2.22m)
Sea level exactly half way between high tide and low tide: sea level is 4.18/2 = 2.09 m (海面在最高和最低水位正中间时, 海面比最低水位高2.09m)
above low tide, so this sea level is 2.22 - 2.09 = 0.13 m below point M (海面比M低0.13m)
3. 168, 324分解质因数可以表达为
168=2^3 * 3 * 7324=2^3 * 3^4
找出最小正整数n使168n是324的倍数.
Their smallest common multiple is 2^3 * 3^4 * 7 (168, 324最小公倍数是可以表达为2^3 * 3^4 * 7)
n = 2^3 * 3^4 * 7/(2^3 * 3 * 7) = 3^3 = 27
4. 有理数可以写成无限循还小数,将写成a/b的形式, a,b是整数
0.73737373 = x (x 是分数)
两边乘100:
73.73737373 = 73 + x = 100x
99x = 73
x = 73/99
5. 找出13/17, 14/17正中间的最简分数
(13/17 + 14/17)/2 = 27/34
6. 剧院第一排有50个座,票价是其他排座位的一半.剧院共有200个座位,所有座位都卖完时共得525元. 第一排每个座多少钱?
Assume the price of a front seat is $x. (第一排每个座x元)
50x + (200-50)x = 525
x = 1.5
7. 一个运动员以6km/h (1小时6千米)的速度走了1km,紧接在2分钟内跑了800米,全程平均速度是多少km/h?
Total distance: 1 + 0.8 = 1.8 km(总距离)
Total time: 1/6 + 2/60 = 1/5 = 0.2 h (总时间)
average speed: 1.8/0.2 = 9.0 km/h (平均速度)