Solution: Let the original length of the spring be xcm and the forward coefficient be KN/m. According to the meaning of the question, we can get:
k( 16.4-x)=2 ①
k( 17.9-x)=5 ②
According to formula ①, k=2/( 16.4-x) ③.
Substitute ③ into ② to get:
3x=46.2
Then x= 15.4.
Answer: The spring should be15.4cm..
10. solution: let x, y and z be 1 angle, and the sum of 5 angles 1 yuan.
Judging from the meaning of the question:
X+5Y+ 10Z=70 ①
X+Y+Z= 15 ②
If x is removed, 4y+9z=55.
z=(55-4y)/9=6+( 1-4y)/9
y=7。
Or x=(55-9z)/4= 13+(3-9z)/4.
z=3。
∴x=5,y=7,z=3.
Answer: Take 5 yuan 1 corner, 5 cents and 1 yuan, which are 7 yuan and 3 yuan respectively.
1 1.
Solution: Let the uphill journey be xkm and the downhill journey be ykm, then the flat road has (3.3-x-y)km, and the equation can be obtained.
x/3+y/5+(3.3-x-y)/4 = 5 1/60
x/5+y/3+(3.3-x-y)/4=53.4/60
X= 1.2 y= 1.5。
∴ The flat slope distance is 3.3- 1.2- 1.5=0.6 (km).
A: The distances from A to B are 1.2km, 0.6km and 1.5km respectively.