please show the steps
simplify the following ratio
1a) 3:9:15
1b) 3:1/3:1/9
find x:y:z in each of the following
2a)x:y=3:4,y:z=5:6
2b)x:y=2:3,x:z=5:1
2c)y:z=3:4,x:z=1:6
2d)x:y=y:z=3:5
3)In a mathematics competition, Simon, Jill and Hugo source 66 ,54 and 78 marks respectively. Find the ratio of their scores.
4)ABCD is a line segment. The lengths of AB,BC and CD are 6 cm , 8 cm and 12 cm respectively.Find the following ratios .
5)A sum of $640 is to be shared by three person three persons A , B and C in the ratio 7 : 4 : 5 .How much will each person get ?
6)The heights of Wilson and Sam are in the ratio 8 : 9 .If Wilson's height is 160 cm , how tall is Sam ?
7)Mr Fei and Mr Tai weight 156 kg and 117 kg respectively. They are going to share a bottle of coke in the ratio of their weights. If Mr Tai gets 450 mL of coke , what is the total volume of the bottle of coke in litres?
simplify the following ratios
8a) 8/9 :1.6
8b)2.1: 2+1/3
8c)275cm² : 1/4 m²
8d)1 hour and 4 minutes : 2 hours and 40 minutes
find the unknown in the followun
9a) (x+2):x =3:2
9b)y:5 =(y-6):3
The hw need to hand in before 3/10 ,please help me before 3/10
S2 maths rate and ratio,help!!
2014-10-01 10:41 pm
回答 (2)
2014-10-02 5:30 am
✔ 最佳答案
1)a)
3 : 9 : 15
= 3/3 : 9/3 : 15/3
= 1 :3 : 5
b)
3 : 1/3 : 1/9
= 3×9 : (1/3)×9: (1/9)×9
= 27 : 3 : 1
====
2)
a)
x : y = 3 : 4 =15 : 20
y : z = 5 : 6 =20 : 24
x : y : z = 15 : 20 : 24
b)
x : y = 2 : 3 =10 : 15
x : z = 5 : 1 =10 : 2
x : y : z = 10 : 15 : 2
c)
y : z = 3 : 4 =9 : 12
x : z = 1 : 6 =2 : 12
x : y : z = 2 : 9 : 12
d)
x : y =3 : 5 = 9 : 15
y : z = 3 : 5 =15 : 25
x : y : z = 9 : 15 : 25
====
3)
Simon's score : Jill's score : Hugo's score
= 66 : 54 : 78
= 66/6 : 54/6 : 78/6
= 11 : 9 : 13
====
4)
AB : BC : CD
= 6 : 8 : 12
= 3 : 4 : 6
However, what do you mean by "the following ratios" ?
====
5)
A gets = $640 × [7/(7 + 4 + 5)] = $280
B gets = $640 × [4/(7 + 4 + 5)] = $160
C gets = $640 × [5/(7 + 4 + 5)] = $200
====
6)
Sam's height
= 160 × (9/8) cm
= 180 cm
====
7)
Total volume of coke
= 450 × [(156 + 117)/117] mL
= 1050 mL
====
8)
a)
8/9 : 1.6
= (8/9)×(9/8) : 1.6×(9/8)
= 1 : 1.8
= 10/2 : 18/2
= 5 : 9
b)
2.1 : (2+1/3)
= 2.1 : (7/3)
= 2.1×(3/7) : (7/3)×(3/7)
= 0.9 : 1
= 9 : 10
c)
275 cm² : 1/4 m²
= 275 cm² : (1/4)×100² m²
= 275 : 2500
= 275/25 : 2500/25
= 11 : 100
d)
1 h and 4 min : 2 h and 40 min
= (60 + 4) min : (2×60 + 40) min
= 64 : 160
= 64/32 : 160/32
= 2 : 5
====
9
a)
(x + 2) : x = 3 : 2
3x = 2(x + 2)
3x = 2x + 4
x = 4
b)
y : 5 = (y - 6) : 3
5(y - 6) = 3y
5y - 30 = 3y
2y = 30
y = 15
參考: 土扁
2014-10-01 11:17 pm
1a)
3：9：15
= 3：3x3：3x5
= 1：3：5 ... ( both * 1/3)
1b)
3：1/3：1/9
= 3*9：1/3*9：1/9*9
= 27：3：1 ... ( both * 9)
9a)
(x+2)：x =3：2
(x+2)/x = 3/2
2(x+2) = 3x
2*2 = 3x - 2x
x = 4
9b)
y：5 =(y-6)：3
y/5 = (y-6)/3
3y = 5(y-6)
5y - 3y = -5*6
2y = 30
y = 15
3：9：15
= 3：3x3：3x5
= 1：3：5 ... ( both * 1/3)
1b)
3：1/3：1/9
= 3*9：1/3*9：1/9*9
= 27：3：1 ... ( both * 9)
9a)
(x+2)：x =3：2
(x+2)/x = 3/2
2(x+2) = 3x
2*2 = 3x - 2x
x = 4
9b)
y：5 =(y-6)：3
y/5 = (y-6)/3
3y = 5(y-6)
5y - 3y = -5*6
2y = 30
y = 15
收錄日期: 2021-04-15 16:46:01
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