8. 解方程。
2.5x - 0.9x = 48 $\frac{1}{3}$x - $\frac{1}{5}$x = 4 0.4x + 0.5x = 5.4
(x + 2.4)×2 = 6.8 3.4x - 48 = 26.8 147÷3x = 0.98
$\frac{5}{8}$ : x = $\frac{3}{4}$ : 0.8 x : 21 = 96.2 : 7 $\frac{x}{0.01}$ = $\frac{1}{3}$ : $\frac{2}{3}$
2.5x - 0.9x = 48 $\frac{1}{3}$x - $\frac{1}{5}$x = 4 0.4x + 0.5x = 5.4
(x + 2.4)×2 = 6.8 3.4x - 48 = 26.8 147÷3x = 0.98
$\frac{5}{8}$ : x = $\frac{3}{4}$ : 0.8 x : 21 = 96.2 : 7 $\frac{x}{0.01}$ = $\frac{1}{3}$ : $\frac{2}{3}$
答案
1:$x = 30$;
2:$x = 30$;
3:$x = 6$;
4:$x = 1$;
5:$x = 22$;
6:$x = 50$;
7:$x =\frac{2}{3}$;
8:$x = 288.6$;
9:$x = 0.005$。
2:$x = 30$;
3:$x = 6$;
4:$x = 1$;
5:$x = 22$;
6:$x = 50$;
7:$x =\frac{2}{3}$;
8:$x = 288.6$;
9:$x = 0.005$。
解析
1. $2.5x - 0.9x = 48$
$(2.5 - 0.9)x = 48$
$1.6x = 48$
$x = 48 ÷ 1.6$
$x = 30$
2.$\frac{1}{3}x - \frac{1}{5}x = 4$
$\frac{5}{15}x - \frac{3}{15}x = 4$
$\frac{2}{15}x = 4$
$x = 4 × \frac{15}{2}$
$x = 30$
3.$0.4x + 0.5x = 5.4$
$0.9x = 5.4$
$x = 5.4 ÷ 0.9$
$x = 6$
4.$(x + 2.4) × 2 = 6.8$
$x + 2.4 = 6.8 ÷ 2$
$x + 2.4 = 3.4$
$x = 3.4 - 2.4$
$x = 1$
5.$3.4x - 48 = 26.8$
$3.4x = 26.8 + 48$
$3.4x = 74.8$
$x = 74.8 ÷ 3.4$
$x = 22$
6.$147 ÷ 3x = 0.98$
$3x=147 ÷ 0.98$
$3x = 150$
$x = 150 ÷ 3$
$x = 50$
7.$\frac{5}{8}:x = \frac{3}{4}:0.8$
$\frac{3}{4}x = \frac{5}{8} × 0.8$
$\frac{3}{4}x = 0.5$
$x = 0.5 ÷ \frac{3}{4}$
$x=\frac{2}{3}$
8.$x:21 = 96.2:7$
$7x = 21 × 96.2$
$7x = 2020.2$
$x = 2020.2 ÷ 7$
$x = 288.6$
9.$\frac{x}{0.01} = \frac{\frac{1}{3}}{\frac{2}{3}}$
$\frac{x}{0.01} = \frac{1}{2}$
$x = 0.01 × \frac{1}{2}$
$x = 0.005$
$(2.5 - 0.9)x = 48$
$1.6x = 48$
$x = 48 ÷ 1.6$
$x = 30$
2.$\frac{1}{3}x - \frac{1}{5}x = 4$
$\frac{5}{15}x - \frac{3}{15}x = 4$
$\frac{2}{15}x = 4$
$x = 4 × \frac{15}{2}$
$x = 30$
3.$0.4x + 0.5x = 5.4$
$0.9x = 5.4$
$x = 5.4 ÷ 0.9$
$x = 6$
4.$(x + 2.4) × 2 = 6.8$
$x + 2.4 = 6.8 ÷ 2$
$x + 2.4 = 3.4$
$x = 3.4 - 2.4$
$x = 1$
5.$3.4x - 48 = 26.8$
$3.4x = 26.8 + 48$
$3.4x = 74.8$
$x = 74.8 ÷ 3.4$
$x = 22$
6.$147 ÷ 3x = 0.98$
$3x=147 ÷ 0.98$
$3x = 150$
$x = 150 ÷ 3$
$x = 50$
7.$\frac{5}{8}:x = \frac{3}{4}:0.8$
$\frac{3}{4}x = \frac{5}{8} × 0.8$
$\frac{3}{4}x = 0.5$
$x = 0.5 ÷ \frac{3}{4}$
$x=\frac{2}{3}$
8.$x:21 = 96.2:7$
$7x = 21 × 96.2$
$7x = 2020.2$
$x = 2020.2 ÷ 7$
$x = 288.6$
9.$\frac{x}{0.01} = \frac{\frac{1}{3}}{\frac{2}{3}}$
$\frac{x}{0.01} = \frac{1}{2}$
$x = 0.01 × \frac{1}{2}$
$x = 0.005$
9. 小明说:“我的零花钱在30元与40元之间;45减去5除以0.5的商,最后所得的差就是我的钱数。”你能根据小明的叙述列出算式并计算吗?
答案
算式为$45 - 5÷0.5 = 35$(元)
解析
根据题意,小明的零花钱为$45 - 5 ÷ 0.5$,先计算除法,$5÷0.5 = 10$,再计算减法$45 - 10=35$(元),30 < 35 < 40,符合在30元与40元之间这个条件。
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