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swat32
2 years ago
6

Please Full Explanation Please Will mark Brainlist :))

Mathematics
1 answer:
Anna [14]2 years ago
4 0

Answer:

≈ 3.16 units

Step-by-step explanation:

To determine the distance between the two points, we need to use the distance formula. The distance formula states that;

\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2}  }

Given coordinates;

  • (6, -5)
  • (5, -8)

When we substitute the coordinates into the formula, we get;

  • \implies \sqrt{[5 - 6]^{2} + [-8 - (-5)]^{2}  }

When we simplify the root, we get;

  • \implies \sqrt{[-1]^{2} + [-8 + 5]^{2}  }
  • \implies \sqrt{[-1]^{2} + [-3]^{2}  }
  • \implies \sqrt{1 +9 }
  • \implies \sqrt{10} units ≈ 3.16 units (Using calculator)

Therefore, the distance between the points is about 3.16 units.

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Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, s
Kamila [148]

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

 worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

 of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

   2 , 3 , 4 , 5 hours

5 0
3 years ago
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,
Tems11 [23]

For this case we have the following quadratic functions:

Revenue: 3x ^ 2 + 4x - 60

Cost: 3x ^ 2 - x + 200

Then, we observe that the profit is given by the following mathematical relationship:

Profit = Revenue - Cost

Substituting values we have:

Profit = (3x ^ 2 + 4x - 60) - (3x ^ 2 - x + 200)

Making the corresponding calculations we have:

Profit = x ^ 2 (3-3) + x (4 + 1) + (-60-200)\\Profit = 5x - 260

Answer:

An expression that represents the profit is:

Profit = 5x - 260

4 0
3 years ago
Read 2 more answers
Stacy Smith has a $50,000 loan with a 10% annual interest rate. She paid $250 for a credit report, $300 for attorneys, $250 for
NeTakaya
(250+300+250+5,268)÷50,000
=0.12136*100=12.1%
6 0
3 years ago
Read 2 more answers
13.27= t - 24.45 show your work
Irina18 [472]
Subtract 24.45 from itself the subtract 13.27 by 24.45 and should t=37.73
7 0
3 years ago
2.1 liters of coffee were equally distributed to 30 cups how many millimeters of coffee were in each cup
sattari [20]

Answer: 70 ml of coffee in each cup


Step-by-step explanation:

1 liter = 1000 ml

Amount of coffee given = <em>2.1 liters</em>

\Rightarrow <em>2.1 liters =  2.1 * 1000 = 2100 ml</em>

Total number of cups = 30

\therefore Amount of coffee in each cup = \frac{Total\ amount \ of \ coffee}{number\ of  \ cups} = \frac{2100}{30} =70

<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>

4 0
3 years ago
Read 2 more answers
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