All categories

3 years ago

Which of the following is true?

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

Step-by-step explanation:

Consider all options:

A. $\sqrt{2}$ is irrational number because it cannot be represented as a fraction with integer numerator and natural denominator. This option is false.

B. Number 0 is integer number, therefore, its rational number. This option is false.

C. Repeating decimal $1.\overline{3}$ can be represented as $1 \dfrac{1}{3}$ that is $\dfrac{4}{3}$ and, therefore, this number is rational number. This number is not integer number, because this is a fraction when simplified to lowest terms. So, this option is true.

D. Number $-\sqrt{16}=-4$ and is integer, therefore, is rational number. So, this option is false.

You might be interested in

Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225

Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

$m=100\ pages/hour$

$b=225\ pages$

$y=-100x+225$ ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

$0=-100x+225$

$100x=225$

$x=2.25\ hours$ ---> Xanthia's time to finish reading the book

<em>Molly</em>

$m=50\ pages/hour$

$b=225\ pages$

$y=-50x+225$ ----> the slope is negative because is a decreasing function

For y=0

$0=-50x+225$

$50x=225$

$x=4.5\ hours$ --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

$4.5\ h-2.25\ h=2.25\ h$

Convert to minutes

Multiply by 60

$2.25\ h=2.25(60)=135\ minutes$

4 0

3 years ago

Read 2 more answers

Determine the area for the diagram above plzzzzz

gulaghasi [49]

Answer:

see explanation

Step-by-step explanation:

The figure shown has one pair of parallel sides and is a trapezium

The area (A) of a trapezium is calculated using

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the length of the parallel sides

here h = 2w, a = w + 3 and b = 4w - 2, hence

A = $\frac{1}{2}$ × 2w(w + 3 + 4w - 2)

= w(5w + 1) = 5w² + w

4 0

3 years ago

Read 2 more answers

Use the formula d =rt to find the distance d a long distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1

shtirl [24]

D=rt
So you're going to plug in the values listed: r= 9 1/2 and t=1 3/4

This will give you:
d=(9.5)(1.75)

Then you solve:
d=16.625

You should probably convert that decimal answer into a fraction since you're question gave it to you as a fraction.

3 0

3 years ago

I don’t understand, help please ?!

GREYUIT [131]

I think you multiply or add

5 0

3 years ago

Read 2 more answers

Would these be similar?

const2013 [10]

Hey buddy I am here to help!

Yes these r similar!