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3 years ago

Do you agree with Mark’s reasoning? Is he correct that 2 is a rational number? Explain your answer.

1 answer:

3 0

Well, I don't know Mark's reasoning, but the square root of 2 is not a rational number. A rational number is a number that can be represented by a fraction - its decimal form must either be finite (have an end) or repeat (for example, 1/3 or .3333333...). The square root of 2 is infinite and cannot be written as a fraction, so it's not rational.

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Solve for x 8/14=x/37

Setler79 [48]

Hello there!

$\frac{8}{14}=\frac{x}{37}$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

$\frac{x}{37}=\frac{8}{14}$

Then you had to cancel by the common factor of 2.

$\frac{x}{37}=\frac{4}{7}$

You had to multiply by 37 from both sides of the equation.

$\frac{37x}{37}=\frac{4*37}{7}$

Simplify it should be the correct answer.

$x=\frac{148}{7}$

<em><u>Answer⇒⇒⇒x=148/7 </u></em>

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

4 0

3 years ago

Which expression represents the area of a square with sides of length 3xy??

monitta

Answer:

9x^2y^2

Step-by-step explanation:

Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.

4 0

2 years ago

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two

kvv77 [185]

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°

4 0

3 years ago

Two partners agree to invest equal amounts in their business. One will contribute $10,000 immediately. The other plans to contr

krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

$A=P(1+\frac{r}{n})^{nt}$

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

$A = P(1+\frac{0.09}{4})^{8}$

According to the question,

A = $ 10,000,

$P(1+\frac{0.09}{4})^{8}= 10000$

$P(1+0.0225)^8 = 10000$

$\implies P = \frac{10000}{1.0225^8}\approx \$ 8369.38$

6 0

3 years ago

Translate to a system of equations:

omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0

3 years ago