mobimax Which of the following statements are true of rational numbers?

Check all that are true.


Decimals that can be written as fractions are rational numbers.


Repeating decimals are rational numbers because they can be written as fractions.


One divided by zero is an example of a rational number.


A rational number can be written as one integer divided by another integer.


Rational numbers can be written as fractions.

Answers

Answer 1

Answer:

Options : 1 , 2 , 4 , 5

Step-by-step explanation:

Rational numbers are numbers of the form

                                                                 [tex]\frac{p}{q}[/tex],

where p and q are integers and q≠0

A decimal number is a rational number , if its :

A) Terminating.

       Example : 0.5

B) Non Terminating and Recurring(repeating).

      Example : 0.111111111.....

Option 1 : True

Option 2 : True

Option 3 : False             [ denominator cannot be zero ]

Option 4 : True

Option 5 : True


Related Questions

The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.

Answers

Answer:

8units

Step-by-step explanation:

If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)

For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)

Using the distance formula;

D = √(x₂-x₁)²+(y₂-y₁)²

D = √(-8.5+8.5)²)²+(-4-4)²

D =√(-8)²

D = √64

D = 8

Hence the required distance is 8units

Juan is 5 and his mom is 35. In how many years will Juan's mom be 3 times Juan's age?

Answers

In 10 years
Juan will be 15 and his mom will be 45
15x3=45

Answer:

10 yrs

Step-by-step explanation:

Juan is 5 yrs now, mom is 35.

add 10 yrs to both the ages

juan is 15 and mom is 45

15 x 3=45

Find the circumference of circle L. Write your answer as a decimal, rounded to the nearest hundredth.

Answers

Circumference = 2πr = 2π(1.25) = 7.85ft

I hope this answers your question and best of wishes!!

work out 37.56 divided by 12 and show working out

Answers

[tex]\longrightarrow{\green{3.13}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{37.56}{12} [/tex]

➺ [tex]\:3.13[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]

Answer:

3.13

Step-by-step explanation:

sorry that is All what I can say please don't be mad at me

Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?

Answers

Answer:

Se requiere 34 meses para producir un interés de 8700 soles.

Step-by-step explanation:

Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Capital inicial, en soles.

[tex]C[/tex] - Capital actual, en soles.

[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].

[tex]t[/tex] - Período de capitalización, en años.

Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]

[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]

[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]

[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]

[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]

[tex]t = 2.782\,yr[/tex]

Es decir, se requiere 34 meses para producir un interés de 8700 soles.

Math help please show all work thank you !

Answers

9514 1404 393

Answer:

W = 55°X = 125°Y = 110°Z = 70°

Step-by-step explanation:

Corresponding angles in similar figures are congruent. Corresponding angles are listed in the same order in the similarity statement.

  ∠A = ∠W = 55°

  ∠B = ∠X = 125°

  ∠C = ∠Y = 110°

  ∠D = ∠Z = 70°

Mrs. Santiago's consumer science class is making two different-size cheesecakes for
a fundraiser.
The large cheesecake has a diameter of 12 inches
The small cheesecake has a diameter of 4 inches
Part A: If the pans are both 3 inches deep, how many times greater is the volume
Of the large pan than that of the small pan? Show your work
Part B: When shipped, the large cheesecakes will be packaged in a box with dimensions of 12 in x
12 in x 3 in. What percentage of the box does the large cheesecake take up?
Show all work for each part and give at least 2 sentences explaination for each part.

Answers

Answer:

Part A: 9 times

Part B: 79%

Step-by-step explanation:

Part A:

Volume of the large pan = πr²h

Where,

radius (r) = ½(diameter) = ½(12) = 6 in.

height (h) = 3 in.

Volume = π*6²*3

Volume of the large pan = 339.29 in.³

Volume of the small pan = πr²h

r = ½(4) = 2 in.

h = 3 in

Volume of small pan = π*2²*3

Volume of the small pan = 37.7 in.³

✔️To determine how many times the volume of the large pan is greater than the small pan, divide the volume of the larger by the smaller:

= 339.29/37.7 ≈ 9

✅The volume of the large pan is about 9 times greater than the volume of the smaller pan.

Part B:

✔️Find the volume of the box:

Volume of box = L*W*H

Where,

L = 12 in.

W = 12 in.

H = 3 in.

Volume of the box = 12*12*3 = 432 in.³

Divide the volume of the large pan over the volume of the box and multiply by 100%

Thus:

339.29/432 × 100

= 78.5393519 ≈ 79%

The large cheesecake takes up about 79%

$70,000 - 17 1/2 % .
if i get this right i get the iphone xr​

Answers

Answer:

$57750

Step-by-step explanation:

$70,000 - 17.5%

17.5 % = .175

.175 * $70000 = $12250

$70000 - $12250 = $57750

A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club

a) graph the linear system. When would the cost of the two membership plans be the same

B) describe a situation under which you would
Choose each plan


Help please

Answers

A i think hope this help

write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent

Answers

Answer:

3/4, 0.75, 75%

Step-by-step explanation:

[tex]\frac{12}{16}[/tex]  

divide top and bottom by 4

[tex]\frac{3}{4}[/tex]

How many types of triangles are there?​

Answers

Answer:

there are 6 type of tryingle hope it helps

7 - equilateral, right isosceles, acute isosceles, obtuse isosceles, right scalene, acute scalene, obtuse scalene.

Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.

An equation is y =

The average rate of change is

Answers

Answer:

6w83ywytahausjsshshfwgwyee

Fbjdbdbdhhdhdbddbdbbdbddbbd so yea

What's the equation? Week (w) 0 1 2 3 4 5 6 7 8 Infected (I) 1 2 4 8 16 32 64 128 256

Answers

Answer:

The Equation Is - Week(n) =  [tex]2^{n}[/tex] (infected)

Step-by-step explanation:

Now We Have to just Put The Value Of 'n'.

Week(0) = 1  

Week(1) = 2

Week(2) = 4

Week(3) = 8  

Week(4) = 16

and so on.

In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?

I will mark brainliest to the first correct answer

urgent pls

Answers

Answer :
If 18+12 is 30 and only 18 of them has pets then 70 percent have pets
The answer is actually 60% because there are 30 students

The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work

Answers

Answer:

Area = 72 square feet

Step-by-step explanation:

[tex]4(3x+3y)[/tex]

Multiply the four to the values inside the parentheses to find the "equivalent expression"

[tex]12x +12y[/tex]

Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]

[tex]12(2) + 12(4)[/tex]

[tex]= 24 +48[/tex]

[tex]= 72[/tex]

In a group of 33 pupils, 9 play the flute only.
8 play the piano only.
11 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?

Answers

Answer:

ans: 5

Step-by-step explanation:

use the set theory to solve it,

Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term

Answers

Answer:

Multiplication.

Step-by-step explanation:

Given functions:

f(x) = 2x - 1

g(x) = 2x + 4

Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term

i. Addition.

f(x) + g(x)

(2x - 1) + (2x + 4)

2x - 1 + 2x + 4

4x + 3

Here, the x term has a coefficient of 4

ii. Subtraction

f(x) - g(x)

(2x - 1) - (2x + 4)

2x - 1 - 2x - 4

-5

Here, the x term does not exist or has a coefficient of 0

iii. Multiplication.

f(x) * g(x)

(2x - 1) * (2x + 4)

4x² + 8x - 2x - 4

4x² + 6x - 4

Here, the x term has a coefficient of 6

iv. Division

Division is not exactly applicable here since there are not terms cancelling out.

Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6


The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.​

Answers

Answer:

the answer is 4133.33...km

Explaination:

Distance = speed x time

Distance = 1240 x 10 / 3 = 4133.33... Km

According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.

Answers

Answer:

The correct answer is "14%".

Step-by-step explanation:

Given:

Jobs in 2018,

= 13.6 million

Jobs in 2028,

= 15.5 million

Now,

In healthcare occupation, the projected percent increase will be:

= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]

By putting the values, we get

= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]

= [tex](1.9)\times \frac{100}{13.6}[/tex]

= [tex]13.97[/tex] (%)

or,

= [tex]14[/tex]%

Answer:

its 14

Step-by-step explanation:

i got it right

Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?

Answers

Answer:

1.5 percent I 5hink 9ook

1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°

Answers

Answer:

could you include a pic please?

Can you please include a picture

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 1: 5×6+5 6 step 2: 30+5 6

step 3 35

6

step 4 answer = 35

6

Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?

Answers

Answer:

6000 dollar store for the day of a rectangle

Answer:

if its simple interest: $375 in interest, so he would have $1875 in total

if its compound interest: $420.13 in interest, so he would have $1920.13 in total

Step-by-step explanation:

I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.

but compound interest adds on to the total instead of the initial savings so its more complicated

what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?

Answers

Answer:

- 30

Step-by-step explanation:

3x + 2y - 5xy

3(2) - 2(3) - 5((2)(3))

6 - 6 - 30

6 - 6 - 30

- 30

Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing

Answers

Answer:

Rise (1-10)=-9

Run=(9-2)=7

Step-by-step explanation:

The slope is Rise/Run = -9/7

Please help!

A circle is defined by the equation below:

x^2 + y^2 - x - 2y - 11/4 = 0

What are the coordinates for the center of the circle and the length of the radius?

Answers

Answer:

Step-by-step explanation:

We know that the equation of a circle is:

(

x

a

)

2

+

(

y

b

)

2

=

R

2

where a and b are the coordinates of the center, and R is the radius.

So in this question we have to complete the squares:

x² + y² - x - 2y - 11/4 = 0       ->

x² - x + 1/4 + y² - 2y = 11/4 +1/4     ->

(x - 1/2)² + y² - 2y + 1 = 12/4 + 1     ->

(x - 1/2)² + (y - 1)² = 4

Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2

      x² + y² - x - 2y - 2³/₄ = 0

               x² + y² - x - 2y = 2³/₄

               x² - x + y² - 2y = 2³/₄

(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4

             (x - 1)² + (y - 2)² = 7³/₄

The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).

A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?

A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches

Answers

Answer:

Step-by-step explanation:

16

It will be 16 inches so B

Which ordered pair is the best estimate for the solution of the system of equations?

y=32x+6
y=14x−2



(−7, −3.5)

(−7, −4)

(−6.5, −3.5)

(−6, −3)

Answers

Answer:

x=-4/9, y=-74/9.

Step-by-step explanation:

y=32x+6

y=14x-2

-----------

32x+6=14x-2

32x-14x+6=-2

18x+6=-2

18x=-2-6

18x=-8

x=-8/18

simplify

x=-4/9

y=14(-4/9)-2=-56/9-2=-74/9

3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?​

Answers

The length of the papacy shown in there is wrong why Beacsue it was drawn

The picture is above I’ll mark as brainliest.

Answers

Answer:

22

Step-by-step explanation:

P=(8*2)+(3*2)

16+6=22

Answer:

22 inches

Step-by-step explanation:

Perimeter = 8 + 3 + 8 + 3

= 22 inches

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