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Dimas [21]
3 years ago
13

Find all real numbers s such that -2(s - 7) > 4s + 8. Give your answer as an interval.

Mathematics
1 answer:
aev [14]3 years ago
7 0
   If    -2 (s - 7) > 4s + 8
then  -2s + 14 > 4s + 8
           14 - 8 > 4s + 2s
                  6 > 6s
         
∴ <span>all real numbers s such that -2(s - 7) > 4s + 8  are   s < 1</span>
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Melody spent 16 days traveling in South America. How many weeks and days did Melody travel in South America?
Genrish500 [490]

Answer: 2 week and 2 days

Step-by-step explanation:

Given

Melody spent 16 days in South America

A week consists of 7 days

In 2 weeks it is, 14 days

So, 16 days is equivalent to 2 weeks and 2 days

Melody spent 2 weeks and 2 days in South America

4 0
2 years ago
N is the sum of three consecutive primes and is also the product of two 2-digit primes, what is the least possible value of N
Nookie1986 [14]

Hello from MrBillDoesMath!

Answer:   N = 143

Discussion:

This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers:  11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of  3 consecutive primes.   I went back to my list of primes,  added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on  43, 47, and 53!

43 + 47 + 53 =  143 !


Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.


Thank you,

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7 0
2 years ago
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5 0
3 years ago
Including 6% sales tax, an inn charges $135.68 per night. Find the inns nightly cost
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4 0
3 years ago
Read 2 more answers
A woman bought some large frames for $10 each and some small frames for $5 each add a closeout sale if she bought 20 frames for
vampirchik [111]

Answer:

The quantity of large frames is 7

The quantity of small frames is 13

Step-by-step explanation:

Given as :

The price of each large frames = $ 10

The price of each small frames = $ 5

The total number of both frames bought = 20

The price for both the frames = $ 135

Now,

Let the quantity of large frames = L

And The quantity of small frames = S

So , According to question

The total number of both frames bought = 20

Or, The quantity of large frames + the quantity of small frame = 135

Or, L + S = 20         ......A

And $ 10 L + $ 5 S = $ 135                         ................B

Or, $ 10× ( L + S ) = $ 10× 20

Or, $ 10 L + $ 10 S = $ 200

(  $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135

Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65

Or, 0 + 5 S = 65

∴  S = \frac{65}{5}

I.e S = 13

So, The quantity of small frames = S = 13

Put the Value of S in eq A

So , L + S = 20

Or, L = 20 - S

Or, L = 20 - 13

∴   L = 7

So, The quantity of large frames = L = 7

Hence The quantity of large frames is 7

And   The quantity of small frames is 13   Answer

7 0
3 years ago
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