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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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Dimensional analysis: How many atoms are in a kilogram of silver, if there are 6.02 x 10^23 atoms per mole and silver weighs 107
kondor19780726 [428]

Answer:

5.58×10²⁴ atoms.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 mole of silver = 107.9 g

Number of atoms in 1 mole of silver = 6.02×10²³ atoms.

Number of atoms in a kilogram of silver =.?

Next, we shall convert 1 kg of silver to grams (g). This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Finally, we shall determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

107.9 g of silver contains 6.02×10²³ atoms.

Therefore, 1000 g of silver will contain = (1000 × 6.02×10²³) / 107.9 = 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

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3 years ago
An army commander wishing to arrange his solidiers who are 8289 in number in the form of a square and found that there were 8 so
umka2103 [35]
91 soldiers in each row
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4 years ago
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Gina will package the trail mix into single servings. To do this, she needs to know the total volume of 1 serving.
mafiozo [28]

Answer:

150 cups and batch is 1 cup

Step-by-step explanation:

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7 0
3 years ago
I need help with this, anyone nice enough to help? :’)
kirza4 [7]

Answer:

7m³ - 11m² + 5m + 17

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                  3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9
  2. Combine like terms (m³):                                                                                7m³ - 4m² + 8 - 7m² + 5m + 9
  3. Combine like terms (m²):                                                                                7m³ - 11m² + 8 + 5m + 9
  4. Combine like terms (Z):                                                                                   7m³ - 11m² + 5m + 17
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3 years ago
A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?
aleksley [76]

46 sqaure miles.........

3 0
4 years ago
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