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SCORPION-xisa [38]
3 years ago
9

~PLEASE HELP ASAP OFFERING 10 POINTS~

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
At every 1.0 unit, boiling point decreases 1.8 unit, which means the slope m = -1.8.
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8. The Last Supper
Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

  • Chris can only take 1 seat (i.e. the central seat)
  • Jo can take 2 seats (i.e. the seats adjacent the central seat)
  • Alex, Barb and Dave can take 3! number of seats
  • Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
  • The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

n = 1 * 2 * 3! * 3! * 4!

Evaluate the product

n = 1728

Hence, there are 1728 possible sitting arrangements

Read more about permutation at:

brainly.com/question/12468032

7 0
2 years ago
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
erastovalidia [21]

Answer:

5.8

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

\frac{31}{43}=\frac{\text{KI}}{8}

Solving, we get:

\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}

5 0
3 years ago
the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0
3 years ago
22+6[(14-5)÷3(17-14)]
mina [271]

The simplification of the expression is 28. The mistake in your calculation occurred in step 3.

<h3>What is the process involved in simplifying expression involving brackets?</h3>

TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).

This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.

Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]

solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]

= 22 + 6[(9) ÷9]          

  • The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.

= 22 + 6[(9) ÷9]    

= 22 + 6[ 1]

= 22 + 6

= 28

Learn more about simplifying expressions here:

brainly.com/question/723406

#SPJ1

8 0
2 years ago
Write a function for the line with a slope -1/4 that passes through the point (4,5)
Lilit [14]

Answer: The point slope solution is y+4 = -(1/2)(x-4) which is y + 4 = -(.5)x + 2 or y = -(.5)x -2.

Step-by-step explanation:

5 0
2 years ago
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