Three MATHS Questions!! [ PLEASE HELP !! ]

2007-01-20 6:59 pm
Find the unknown in each of the following.

1)If x is increased by 40%,the new value is 56 .

2)If a is increased by 55%,the new value is 180 .

3)If b cm is decreased by 30%,the decreased is 15 mm .

最佳回答要求:
1)詳細解釋個答案係點求[用中文]
2)詳細寫出步驟
3)計到正確答案

THX!
更新1:

第三題可否 「詳細寫出步驟」 呢~你們兩位也沒有做到這要求唷!!

回答 (2)

2007-01-20 7:24 pm
✔ 最佳答案
當 X 加大40%後會成為56。求 X

首先用等式寫出問題:
X 的 40% 是 0.4X,所以
X + 0.4X = 56

抽取份子X,成了:
(1 + 0.4)X = 56
1.4 X = 56

要左邊只有X,我們要兩邊同時除以1.4:
X = 56 / 1.4
X = 40

如此類推,你可以自行計出第二題。

留意第三題是減去30%,同時單位也不同。因此寫等式時應把15mm轉成cm,即是1.5cm。

0.3 X B = 1.5
B = 1.5 / 0.3
B = 5 cm

2007-01-21 05:17:38 補充:
請睇清楚睇目,是15mm,不是15cm。

2007-01-21 05:23:42 補充:
3)If b cm is decreased by 30%,the decreased is 15 mm .若長度B厘米被減30%,被減掉的長度是15毫米。求B。B的30%是15毫米,而15毫米等如1.5厘米,所以:(B x 0.3) cm = 1.5 cm把兩方同時除以0.3:B = 1.5 / 0.3B = 5 cm
2007-01-20 7:14 pm
1) x*(1+40%) = 56
x = 56/1.4
= 40

2) a*(1+55%) = 180
a = 180/1.55
= 116 (3 sig. fig.)

3) b - b(1-30%) = 15 (原本的長度是b,新的長度是b(1-30%),所以它們的相差就
b*(1-0.7) = 15 要相減了)
b = 15/0.3
= 50

重點:記住100%=1,所以第一題的1+40% = 1.4,第二題的1+55% = 1.55

2007-01-20 23:17:02 補充:
b是原本的長度,b(1-30%)是新的長度所以b - b(1-30%)就是少了的長度題目話長度短了15cm~即係長度少了15cm~所以方程式是這條:b - b(1-30%) = 15 b- 0.7b =15 0.3b = 15 b = 15/0.3 = 50


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