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shepuryov [24]
3 years ago
6

Solve the following inequality for n. Write your answer in simplest form. 1+4(-6n-4)<10n+4-n

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer

n>- 19/33

1 Simplify  10n+4-n10n+4−n  to  9n+49n+4.

1+4(-6n-4)<9n+41+4(−6n−4)<9n+4

2 Expand.

1-24n-16<9n+41−24n−16<9n+4

3 Simplify  1-24n-161−24n−16  to  -24n-15−24n−15.

-24n-15<9n+4−24n−15<9n+4

4 Add 24n24n to both sides.

-15<9n+4+24n−15<9n+4+24n

5 Simplify  9n+4+24n9n+4+24n  to  33n+433n+4.

-15<33n+4−15<33n+4

6 Subtract 44 from both sides.

-15-4<33n−15−4<33n

7 Simplify  -15-4−15−4  to  -19−19.

-19<33n−19<33n

8 Divide both sides by 3333.

-\frac{19}{33}<n−

​33

​

​19

​​ <n

9 Switch sides.

n>-\frac{19}{33}n>−

​33

​

​19

​​  

Done

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Hoochie [10]

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

\frac{7}{4}

We know that

  • Quotient\frac{Remainder}{Divisor}

as

\frac{7}{4}=1\frac{3}{4}

so the remainder is 3.      ∵ Quotient\frac{Remainder}{Divisor}

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.

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Answer:

40 percent

Step-by-step explanation:

Now percentage formula

Whatever

- - - - - - - - - - x 100

Total whatever

In this case your whatever is the hits. according to the question, if i said he had 40 hits in 40, that's a 100percent. So... Your whatever is 16, total whatever is 40

16

- - - - - - x 100

40

= 40 percent

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