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3 years ago

Two numbers are in the ratio 3:2. if 5 subtracted to each

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

3 and 2

Step-by-step explanation:

The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )

When 5 is subtracted from both , that is

3x - 5 : 2x - 5 = 2 : 3

Expressing the ratio in fractional form

$\frac{3x-5}{2x-5}$ = $\frac{2}{3}$ ( cross- multiply )

3(3x - 5) = 2(2x - 5) ← distribute both sides

9x - 15 = 4x - 10 ( subtract 4x from both sides )

5x - 15 = - 10 ( add 15 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Thus the 2 numbers are

3x = 3(1) = 3 and 2x = 2(1) = 2

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Answer:

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Step-by-step explanation:

The radius is half the diameter or the center point to the edge (circumference)

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3 years ago

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In triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c

Scilla [17]

Angle c= 60°

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3 years ago

What is the value of i^n in if the remainder of n/4 is 2?

LekaFEV [45]

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is 2.

Further Explanation:

Given:

The remainder of $\dfrac{n}{4}$ is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

$\boxed{z = a + ib}$

Here, a is the real part of the complex number and $\text{ib}$ is the imaginary part of the complex number.

$\sqrt{ - 1}$ can be denoted by i.

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${i^2} = - 1$

The value ${i^3}$ can be obtained as follows,

$\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}$

The value ${i^4}$ can be obtained as follows,

$\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}$

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is $2$ .

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, $i^ n$ , remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

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3 years ago

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Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold

LenKa [72]

Answer:

Number of hot dogs sold = 56

Number of hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of hamburgers sold = y

We can make equation from given equations:

$0.50x+1y=80$ (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )