This why is the product of 2 rational numbers always rational

Answers

Answer 1

Answer:

Adding two rational numbers is like adding two positive numbers, or two like fractions.


Related Questions

greatest common factor of 24, 36, and 50

Answers

Answer:

The greatest common factor of 24, 36, and 50 is 2.

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 50 are 1, 2, 5, 10, 25, 50

Therefore the GCF is 2.

We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:

24 = 2 * 12

36 = 2 * 18

50 = 2 * 25

From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

Learn more: https://brainly.com/question/219464

a stock has a price of $58.63. This is $5.92 less than the price of stock yesterday. Write and solve an equation to find the price p (in dollars) of the stock yesterday.

Answers

Answer:

$52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 . A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 1, and another point is 1 mark to the left of 0. Is he correct? Explain why or why not.

Answers

Answer:

Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.

Step-by-step explanation:

2) Zoe was practicing for a marathon. She practiced for six days, running
four miles each day. How many miles did Zoe run altogether?

Answers

Answer: zoe ran 24 miles

If Katarina runs at a pace of 5 mph, how many miles can she run in 4 hours? A. 22 miles B. 20 miles C. 21 miles D. 19 miles

Answers

Answer:

20 miles

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Zach has a basic cell phone plan that does not include texting. He is going to add a texting package to his cell phone plan. He has two choices of texting packages, A and B. Package A charges $0.15 per text with no monthly fees for the texting package. Package B charges $0.10 per text, but has a $10 monthly fee for the texting package. Write an equation that represents the total cost for each texting package if any amount of texts are sent. Be sure to define the variables you are using for your equation.

Answers

Answer:

bababoeybababoey

Step-by-step explanation:

Answer: STUPID

Step-by-step explanation:

Which equations are true?
Choose all answers that apply:
Α)
-X = -x + 3 +0
B)
-X = 0 +(-x)
с)
None of the above

Answers

Answer:

B

Step-by-step explanation:

Any value of x would make the equation true.

Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.

1. On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
2. A restaurant uses 80 pounds of potatoes per week. The restaurant owner buys the potatoes in 10-pound bags from a local farmer. How many bags will the owner need to buy this week?
3. Six-packs of cola were on sale at a grocery store. John bought the limit, which was 8 six-packs. How many individual cans of cola is this?
4. Lori is reading The Grapes of Wrath for her American literature class. She read 85 pages last weekend, 135 pages during the week, and 98 pages this weekend. What is the total number of pages she has read so far?
5. A football team scored 34 points in their first game, 21 points in their second game, 9 points in their third game, and 28 points in their fourth game. What is the team’s average score for the season so far?
6. Reuben chews four pieces of chewing gum a day. The gum is sold in packages containing seven pieces. How many packages of gum will he need to buy this week?
7. Apply the rules of order of operations to solve the following problems.
52 – 6 × 7 = ?
108 ÷ 9 × 5 = ?
(54 + 42) ÷ 12 =?
183 – [(12 + 7) × 4] = ?
8. Chan wants to buy a used car that costs $8,500. He took out a loan for the cost of the car, and his payments are $209 per month for four years. At the end of four years, how much more than the car’s original price will he have paid? (Remember, there are twelve months in one year.)
9. Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. She’s considering two models. The first model averages 30 miles per gallon, and the second averages 27 miles per gallon. How many gallons of gas will she save in a five-day work week if she buys the first car instead of the second car?
10. A waitress earned the following tips during one hour: $4.50, $3.00, $5.00, and $3.75. She gave each of the two busboys working with her $2.50. In addition to tips, the restaurant pays her $4.25 per hour. How much did she earn during that one hour of work?
11. Juan went out to lunch with five friends. They decided to divide the bill evenly among them. Juan estimated that his lunch cost $5.25. The entire bill came to $37.20. Would Juan’s lunch have cost more or less if he paid for it separately? How much more or less?

Answers

Answer:

try this!!

1. 14

2. 8

3. 48

4. 318

5. 23

6. 4

7. a) 10 b) 60 c) 8 d) 107

8. $1,532

9. 1

10. $15.50

11. .95

Step-by-step explanation:

Answer:

1. 14

2. 8

3. 48

4. 318

5. 23

6. 4

7. a) 10 b) 60 c) 8 d) 107

8. $1,532

9. 1

10. $15.50

11. .95

Step-by-step explanation:

Penn Foster

Walter chrysler sells car engines. He receives a 11% commission on the first $50,000 in sales and 17% on anything over $50000. He had a good month and sold $225,000 worth of engines.(btw walter chrysler was a machinist who founded chrysler) How big was his check for the month? A. 35250 B. 41522 C. 64000 D. 220000​

Answers

Answer
A
Explanation

three examples of equations where there will be no solution.

Answers

Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

hope this helps!

mark me brainliest plz!

How to solve m(2x-5) = 9x-k STEP BY STEP

Answers

What are you solving for

What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

Find the measure of angle b.

Answers

Answer:

angle b=36

Step-by-step explanation:

angle b = 90-54=36 (given b+54+90)

Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)

Answers

Answer:

numbers:letters

5:4 (numbers:letters form)

Step-by-step explanation:

There are 5 numbers in the password and 4 letters

Hopefully this helps :)

Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct?

Answers

Answer:

Yes

Step-by-step explanation:

Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.

Answer:

Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.

A reduction has a scale factor between

0 and 1.

(Verified answer)

PLS HELP THX PLS jrkdkekmc

Answers

Answer: No

Step-by-step explanation:

The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:

AC= -5/2

BC=  -1/3

This isn't a right triangle because the lines are not perpendicular.

15 is what percent of 90

Answers

13.5 you can do this in a calculator by multiplying 90 by .15

Choose an answer and tell me why u chose it

Answers

9514 1404 393

Answer:

  (D)  (170 -4x)°

Step-by-step explanation:

Angles 1 and 5 are corresponding, so are congruent. Angle 6 forms a linear pair with angle 5, so is its supplement. That is, angle 6 is the supplement of angle 1:

  ∠6 = 180° -(4x +1)° = (180 -1)° -4x°

  ∠6 = (179 -4x)° . . . . matches choice D

Solve the Inequality:

Answers

Answer:

z > 4

Step-by-step explanation:

- 2z - 3 < 5

- 2z < 5 + 3

- 2z < 8

z > - 4

Answer:

z > -4

Step-by-step explanation:

Please see the following attachment for step by step

I NEED HELP ASAP!!!! PLS HELP ME. WILL MARK THE FIRST ANSWER BRAINLIEST!!!

Answers

Answer:

I am too young for this type of math, but I suggest you try M-a-t-h w-a-y

What is (1.7x10^4)x(8.5x10^-2) in standard form

Answers

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

Answer:

1.445 × 10³ hope it helped goodluck!


Given the function f(x) = 4 - 2x: If the domain is {-4,0, 5), find the range.
A)
{-4, 4,-6)
B)
{-4, 4, 14)
C)
{12, 4, -6}
D)
{12, 4, 14)

Answers

Answer:

C) -4,4,-6

Step-by-step explanation:

domain is x so plug the domain numbers into the function

4-2(-4)=12

4-2(0)=4

4-2(5)=-6

Therefore Range is (-4,4,-6)

3(x-1) – 1= - 7x
2 3

I need help please

Answers

3x-1-1=-7x
-3x. -7x
-1-1=-14x
-2=-14x
X=7

An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5

Answers

The answer is : b. -8.5

Factor a trinomial of the form x^2+bx+c

Answers

Answer:

[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]

Step-by-step explanation:

Let us assume the trinomial of the form [tex]x^2+bx+c[/tex]

[tex]x^2+5x+6[/tex]

Break the expression into the groups

[tex]=\left(x^2+2x\right)+\left(3x+6\right)[/tex]

Factor out 'x' from [tex]x^2+2x[/tex]

i.e.

[tex]\:x^2+2x=x\left(x+2\right)[/tex]

Factor out '3' from 3x+6

i.e.

3x+6 = 3(x+2)

so the expression becomes

[tex]\:x^2+2x=x\left(x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]

[tex]=\left(x+2\right)\left(x+3\right)[/tex]

Hence,

[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]

The width of a rectangle is 3 cm less than twice its length. If the perimeter of the
rectangle is 18 cm, find its dimensions.

Answers

Answer:

length=4

Width=2×4-3=5

Step-by-step explanation:

Let length =X

Width =2x-3

Perimeter=18

2(length+width)=18

2(X+2x-3)=18

3x-3=9

3x=12

X=12/3

X=4

So length=4

Width=2×4-3=5

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]

[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Question :

The width of a rectangle is 3 cm less than twice its length. If the perimeter of the rectangle is 18 cm, find its dimensions.

Step - by - step explanation :

✒ First, Let length of a rectangle be ' L '.

✑ Given :

Width of a rectangle = 3 cm less than twice its length ( i.e W = 2L - 3 )Perimeter of a rectangle ( P ) = 18 cm

Finding value of length of a rectangle :

[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]

Plug the values and solve for L

➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]

➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )

➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )

➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }

➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )

➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }

➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }

➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]

☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]

➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }

➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }

➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]

Hence ,

Length of a rectangle ( L ) = 4 cmWidth of a rectangle ( W ) = 5 cm

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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Order the numbers from greatest to least 0.7 0.007 1.7 0.17

Answers

Answer:

1.7,0.7,0.17,0.007 is the answer

1.7, 0.7, 0.17, 0.007. That’s the order from greatest to least! :)

HELPPP . sorry for cracked. screen.. Identify w as either rational or irrational
, and approximate to the tenths place. (4
points)

Answers

Answer:

Irrational: √2 = 1.4

Step-by-step explanation:

Determine whether a quadratic model exists for each set of values. If so, write the model.
f(-2)=16, f(0)=0, f(1)=4

Answers

Answer:

[tex]f(x)=4x^2[/tex]

Step-by-step explanation:

Quadratic Model

The quadratic function can be expressed in the form:

[tex]f(x)=ax^2+bx+c[/tex]

Where a,b, and c are constants to be determined using the points through which the function passes.

We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.

Point (0,0):

[tex]f(0)=a*0^2+b*0+c=0[/tex]

It follows that

c=0

Point (-2,16):

[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]

Operating:

[tex]a*(4)+b*(-2)+c=16[/tex]

Since c=0:

[tex]4a-2b=16[/tex]

Divide by 2:

[tex]2a-b=8\qquad\qquad [1][/tex]

Point (1,4):

[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]

[tex]a*(1)+b*(1)+c=4[/tex]

Since c=0:

[tex]a+b=4\qquad\qquad [2][/tex]

Adding [1] + [2]:

2a+a=12

3a=12

a=12/3=4

a=4

From [2]

b=4-a

b=4-4=0

b=0

The model is:

[tex]\boxed{f(x)=4x^2}[/tex]

Tamara sold 92 cold drinks during her 2-hours shift a festival food stand. If she sold same number of drinks each hour , how many cold drinks did she sell each hour?

Answers

92 drinks = 2 hrs
92/2 drinks = 1 hr
46 drinks = 1 hr

Answer:

92/2= 46/h

46 and hour is the answer

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