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ANEK [815]
3 years ago
10

The ratio of knights to horses in the kingdom were 4

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

20

Step-by-step explanation:

Lets make a proportion in ratio from:

(Knights:Horses)

4:5=16:?

4 x 4=16

So, 4 x 5=20

16:20

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Solve for x in the equation.
labwork [276]

Answer:

The solution is \displaystyle x=1\pm \sqrt{47}. Fourth option

Explanation:

Solve for x:

2x^2+3x-7=x^2+5x+39

Move all the terms from the right to the left side of the equation, a zero in the right side:

2x^2+3x-7-x^2-5x-39=0

Join all like terms:

x^2-2x-46=0

The general form of the quadratic equation is:

ax^2+bx+c=0

Solve the quadratic equation by using the formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}

\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}

\displaystyle x=\frac{2\pm \sqrt{188}}{2}

Since 188=4*47

\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}

Take the square root of 4:

\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}

Divide by 2:

\displaystyle x=1\pm \sqrt{47}

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0
3 years ago
IF A LIQUID WEIGHS 2 POUNDS AND HAS A CApacity of 3 gallons. what is its density
umka21 [38]

Answer:

0.08 g/cm³

Step-by-step explanation:

We are given;

  • Mass of the liquid = 2 pounds

But; 1 pound = 453.592 g

Therefore, mass = 907.184 g

  • Volume of the liquid = 3 gallons

But; 1 gallon = 3785.41 cm³

Thus, volume = 11356.23 cm³

We are required to determine the density of the liquid;

We need to know that;

Density = Mass ÷ Volume

Therefore;

density of the liquid = 907.184 g ÷ 11356.23 cm³

                                 = 0.0799 g/cm³

                                = 0.08 g/cm³

Thus, the volume of the liquid is 0.08 g/cm³

3 0
3 years ago
Write 27 as a power and as repeated multiplication
Oxana [17]

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

6 0
3 years ago
Read 2 more answers
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
MrRa [10]

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

<em>24/16 = 1.5</em>

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

<h2>I hope that helps! </h2><h3>Have a wonderful day! </h3>
8 0
3 years ago
Can time difference between two places be greater than 24 hours?
Paha777 [63]
They can be 25hours and 10 minutes apart. <span>This is possible because the </span>International dateline is not a straight line<span>.
</span>
4 0
3 years ago
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