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3 years ago

How many positive integers less than 1000 are divisible by both 7 and 11?

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

220-12=208 is your answer

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The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510&lt

____ [38]

Answer:

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Step-by-step explanation:

Given

$\frac{1}{4}$

$\frac{5}{10}$

$\frac{1}{2}>\frac{1}{3}$

$\frac{4}{8}>\frac{2}{6}$

$\frac{3}{5}>\frac{4}{5}$

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. $\frac{1}{2}$  and not as an inequality i.e.  $\frac{3}{5}>\frac{4}{5}$ 

Given the format of the question, what is required of the question is to select all correct inequality.

$(a)$ $\frac{1}{4}$

Convert to decimals

$0.25 < 0.167$ ---- This is not true because $0.25 > 0.167$

$(b)$ $\frac{5}{10}$

Convert to decimals

$0.5 < 0.5$ ---- This is not true because $0.5 = 0.5$

$(c)$ $\frac{1}{2}>\frac{1}{3}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(e)$ $\frac{3}{5}>\frac{4}{5}$

$0.6 > 0.8$ --- This is not true because $0.6 < 0.8$

So: the true inequality is:

$(d)$ $\frac{4}{8}>\frac{2}{6}$

6 0

3 years ago

If Mercury is 55 pounds earth is how many pounds

aivan3 [116]

Answer:

earth is 13,170,000,000,000,000,000,000,000 pounds

Step-by-step explanation:

8 0

3 years ago

Solving Rational Equations. LCD Method. Show work. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5x%7D%20%2B%5Cfrac%

Svet_ta [14]

using the LCD method.... well, there are a couple of ways, but let's simply add them up.

well, the denominators are 5x and 2x... so the only LCD will just be 10x, since it's divisible by both, so let's use that one.

$\bf \cfrac{2}{5x}+\cfrac{7}{2x}=1\implies \stackrel{\textit{LCD of 10x}}{\cfrac{(2)2~~+~~(5)7}{10x}}=1\implies \cfrac{4+35}{10x}=1\implies \cfrac{39}{10x}=1 \\\\\\ 39=10x\implies \cfrac{39}{10}=x\implies 3\frac{9}{10}=x$