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Karo-lina-s [1.5K]
3 years ago
14

What is the solution set for 3x+1(more than or equal to)8 and 10x(less than or equal to)15

Mathematics
2 answers:
charle [14.2K]3 years ago
4 0
There is no overlap in the solutions to the two inequalities.

The solution set is the empty set: { }.

_____
The solution to the first is x ≥ (8-1)/3, or x ≥ 2 1/3.
The solution to the second is x ≤ 15/10, or x ≤ 1 1/2.

bulgar [2K]3 years ago
3 0

there is no solution

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Solve the equation. <br> 5/6 x-4 = -2
lora16 [44]

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12   2 times with 2 left over

x = 2  2/5

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3 years ago
A computer that cost 1099 last year costs 999 this year. ​ ​What is the percent of change in price rounded to the nearest tenth?
Damm [24]

Answer:

19%

Step-by-step explanation:

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3 years ago
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A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad
astra-53 [7]

Answer:

$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.

Step-by-step explanation:

We are going to assume that a month has 30 days.

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  • We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars

  • He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66

  • The problem doesn't tell us that there were unhappy customers that day so that amount is zero.

  • We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.

Thus, the profit for that day is:

1600 - 1300 - 2.66 + 100 = 397.34

<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>

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3 years ago
Teagan was playing Trouble and recorded the number
almond37 [142]

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

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3 years ago
Two card decks are drawn from a standard 52-card deck, without replacement. Find the probability that they are both aces.
LenaWriter [7]
I'm sorry, when I answered this I'm pretty sure I wasn't in algebra two yet. The correct answer is 4/52 * 3/51 = 1/221
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3 years ago
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