Which property justifies the following statement?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

3 0

In the above question 13m=156 we are dividing both sides by 13 so that m=12 .As $\frac{156}{13} =12$

According to Division property of Equality: If you divide one side of an equation by a number, you also must divide the other side by the same number so that your equation stays the same.

The property Division Property of Equality is justified .

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On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe

nordsb [41]

The first graphed rational number is at the middle of -2 and -1, thus the number represented is $-1 \frac{1}{2}$

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is $0+ \frac{5}{6} = \frac{5}{6}$

The difference between the two numbers can be represented as
$-1 \frac{1}{2} - \frac{5}{6}$
or
$\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}$

To find the difference,

$-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6} \\ \\ =-1 \frac{8}{6} =-2 \frac{2}{6} \\ \\ =-2 \frac{1}{3}$

Also,

$\frac{5}{6} +1 \frac{1}{2} \\ \\ =1 \frac{5+3}{6} \\ \\ =1 \frac{8}{6} =2 \frac{2}{6} \\ \\ =2 \frac{1}{6}$

4 0

4 years ago

There are 54 students in a class. The Venn diagram below shows how many students play a sport, take a foreign language, do both,

andrew11 [14]

Doesn't play sport

Plays sport |

| |

V V

Takes language | 21 | 17 |

-----------------

Doesn't take language | 12 | 4 |

4 0

3 years ago

Solve for x.

Lunna [17]

8 - 3x - x = 12
8 - 2x = 12
-2x = 12 - 8
-2x = 4
x = -2

7 0

3 years ago

Read 2 more answers

Ethan has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a

garri49 [273]

Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4 $11.38 reflectors are purchased as well as gloves for 31.41. Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

6 0

3 years ago

What is the relationship between the ratios? 5/8 and 8/10 Drag and drop to complete the statement.

Lubov Fominskaja [6]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .