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ki77a [65]
2 years ago
15

The total area of Ohio is 4.5 * 10^4 square miles.The total area of Ohio is about how many times the total area of Rhode Island?

Mathematics
1 answer:
Anon25 [30]2 years ago
5 0

Answer:

The total area of Ohio is about 30 times the total area of Rhode Island

Step-by-step explanation:

Let

x -----> the total area of Ohio in square miles

y -----> the total area of Rhode Island in square miles

we know that

x=4.5*10^{4}\ mi^{2}  

y=1.5*10^{3}\ mi^{2} (<em>searched in Google</em>)

To find out approximately how many times the total area of Ohio is compared to the area of Rhode Island, divide the area of Ohio by the area of Rhode Island

\frac{x}{y}

substitute the values

\frac{4.5*10^{4}}{1.5*10^{3}}=(\frac{4.5}{1.5})( 10^{4-3}) =3*10^{1}=30

therefore

The total area of Ohio is about 30 times the total area of Rhode Island

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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get 7/12. What is the number?
Afina-wow [57]

Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.

Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.

∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)

Transposing 2/3 to right-hand-side and changing the sign to negative,

(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)

Or, (p/q)(5/2) = -(8+7)/12 = - 15/12

Multiplying both sides by 2/5,

(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5

Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain

(p/q).1 = -1/4 . 2/1 = -1/2

⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .

∴ the rational number = -1/2

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2 years ago
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ki77a [65]

Answer:

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Step-by-step explanation:

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3 years ago
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Vesna [10]

Answer:

D is correct. x^2-2x-4=0

Step-by-step explanation:

We are given the root of the equation

x=1+\pm \sqrt{5}

If we are given solution of the equation then find equation using formula.

If a and b are the solution of equation then equation would be (x-a)(x-b)=0

Here, a=1+\sqrt{5} , b=1-\sqrt{5}

Equation form would be (x-1-\sqrt{5})(x-1+\sqrt{5})=0

Now we simplify the above equation to get correct option.

x^2-x+x\sqrt{5}-x+1-\sqrt{5}-x\sqrt{5}+\sqrt{5}-5=0

x^2-2x-4=0

So, D is correct.  x^2-2x-4=0

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3 years ago
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Answer would be $100.

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