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masha68 [24]
3 years ago
6

Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
For this..
\frac{n}{-3}+5 \ \textgreater \  \mathrm{Apply\:the\:fraction\:rule}:\ \frac{a}{-b}=-\frac{a}{b} \ \textgreater \  -\frac{n}{3}+5 \ \textgreater \  \frac{n}{3}+5\ \textgreater \ 4

\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides} \ \textgreater \ -\frac{n}{3}+5-5\ \textgreater \ 4-5 \ \textgreater \ \ \textgreater \  -\frac{n}{3}\ \textgreater \ -1

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  3\left(-\frac{n}{3}\right)\ \textgreater \ 3\left(-1\right) \ \textgreater \  \mathrm{Simplify} \ \textgreater \  -n\ \textgreater \ -3

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-n\right)\left(-1\right)\ \textless \ \left(-3\right)\left(-1\right) \ \textgreater \ \ \textgreater \  \mathrm{Simplify} \ \textgreater \  n\ \textless \ 3

Hope this helps!
Virty [35]3 years ago
4 0
N/-3>4-5 
then you can just times by -3 to get n on it's own
n>-3(4-5)
n>-3*-1
n>3
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3 years ago
The sum of two numbers is -3 and their difference is 9 find the numbers​
photoshop1234 [79]

Answer:

-6 and 3

Step-by-step explanation:

3-(-6)=3 +6=9  (two negative signs= positive sign)

-6 +3 = -3

It you have 6 negative tiles and add 3 positive tiles, the  3 negative tiles cancel 3 positive tiles. So hat is left is 3 negative tiles

7 0
3 years ago
¿cuales números naturales de dos cifras cumplen la condición de que su triple disminuido en 5, sea menor que su doble aumentado
stiks02 [169]

Answer: 10, 11 and 12.

Step-by-step explanation:

This translates to:

Find the natural numbers of two digits that fulfill the condition that when triple and decreased in 5, is less than the double increased in 8?

suppose that A is our number of two digits, this means that:

3*A - 5 < 2*A + 8

It makes sense to start with the smaller number of two digits, 10.

3*10 - 5 < 2*10 + 8

25 < 28

this is true.

Now let's check the next one, 11.

11*3 - 5 < 2*11 + 8

28 < 30

This is true again, now let's try with the next one, 12.

3*12 - 5 < 2*12 + 8

31 < 32

This is true again, now let's find the last one.

3*13 - 5 < 2*13 + 8

34 < 34

this is not true, so the numbers that fulfill the condition are 10, 11, and 12.

A faster way to prove it is, suppose that both sides of our inequality are equal, then find the value of A.

3*A - 5 = 2*A + 8

3*A - 2*A = 8 + 5 = 13

A = 13

This means that any number of two digits less than 13 fulfills the condition, those numbers are 10, 11, and 12.

8 0
3 years ago
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omeli [17]

Answer:

5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.

Step-by-step explanation:

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2 years ago
Select the correct answer.
vitfil [10]
Is there an image i don’t understand what expressions you’re asking for?
6 0
2 years ago
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