Mathematics: What numbers are a distance of 3/4 unit from 1/8 on a number line? select the locations on the number line to plot the points.

What numbers are a distance of 3/4 unit from 1/8

suewignall

25.05.2020

3/4 = 6/8. so 6/8-1/8= 5/8. 5/8 is the answer.

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mal5546

11.03.2022

$\frac{7}{8}\text{ and }-\frac{5}{8}$

Step-by-step explanation:

Let x be the number which is $\frac{3}{4}$ unit from $\frac{1}{8}$ ,

That is,

$|x-\frac{1}{8}| =\frac{3}{4}$

$x-\frac{1}{8}=\pm \frac{3}{4}$

$x=\frac{1}{8}\pm \frac{3}{4}$

$\implies x=\frac{1}{8}+\frac{3}{4}\text{ or }x=\frac{1}{8}-\frac{3}{4}$

$x=\frac{1+6}{8}\text{ or }x=\frac{1-6}{8}$

$x=\frac{7}{8}\text{ or }x=-\frac{5}{8}$

Hence, 7/8 and -5/8 are 3/4 unit far from 1/8 on the number line.

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ciera51

09.06.2023

$20.5

Step-by-step explanation:

Let x denotes the amount for total bill.

We are given that , Sierra left $4.50 as a tip for a waiter.

This was 18% of the bill before the tip.

We can write 18% = 0.18. [To convert percent into decimal we divide it by 100.]

Then, the tip amount = 0.18 x Total bill

$\Rightarrow\ 4.5=0.18x\\\\\Rightarrow\ x=\dfrac{4.5}{0.18}=25$

So, the total bill amount = $25

Hence, her total bill before the tip= Total bill amount - Tip amount

= $25- $4.50=$20.5

Thus ,her total bill before the tip= $20.5

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