Using the properties of real numbers ,prove that a<b and c<d= a+c<b+d​

Answers

Answer 1

9514 1404 393

Explanation:

  a < b . . . . . given

  0 < b -a . . . . . addition property of inequality

  c < d . . . . . given

  0 < d - c . . . . . addition property of inequality

  0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers

  a +c < b +d . . . . . addition property of inequality

Answer 2

Answer:

hello hope this pic helps


Related Questions

Can anyone calculate the rise/run for this?

Answers

Answer:

0

Step-by-step explanation:

The slope of any horizontal line will be zero.

Answer:

slope = m = rise/run = 0/8 = 0

Step-by-step explanation:

Well rise/run is how much it rises over how much it runs.

Note it rises by 0 so 0 on top,

Therefore;

no matter it be 0/1 or 0/1241213261238126836128361  the rise/run also known as slope is always gonna be 0

Reasoning:

0 divided by anything is always 0

Hope this helps

Find the values of x and y.
X= __
Y= __

Answers

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?

Answers

Answer:

$120*.12= then add the answer to the money amount

Step-by-step explanation:

Answer:  120*1.12

The multiplier 1.12 represents the idea of increasing by 12%

This is because 100% + 12% = 1 + 0.12 = 1.12

For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.

Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.

Answers

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

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(−12)⋅(−12)⋅(−12)
lkndslnfkdsbdf

Answers

Answer:

-1728

Step-by-step explanation:

First, you multiply -12 and -12 which is 144

After that multiply 144 by -12 which is -1728

Answer: -1728

Hope this helps!

Answer:

-1728

Step-by-step explanation:

2 + 3x²y - 1⁄2y + y - 1

Answers

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?

Answers

Answer:

24cm, 36cm y 48cm

Step-by-step explanation:

Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.

(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)

Test your PEMDAS

6+8/2(2+2)

This one is tricky

Answers

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

what is the slope of the graph?

Answers

Answer:-6

Step-by-step explanation:

Simplified fraction 8 (5/6) =

Answers

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

20/3

STEP BY STEP EXPLANATION


Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Answers

9514 1404 393

Answer:

domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line test

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add one, then double the result.​

Answers

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW

Answers

Answer:

y = 5

x = 14

Step-by-step explanation:

AOC=25

AOL=90

Therefore COL = 65

COM is a 90 degree angle since MOD is 90 degrees

COM - COL = 90 - 65 = 25

5y = 25

y=5

LOB = 90

5y + 3x + 23 = 90

5(5) + 3x +23 = 90

25 + 3x + 23 = 90

48 + 3x = 90

3x= 90 - 48

3x = 42

x= 14

Answer:

x = 14, y = 5

Step-by-step explanation:

MOB = LOC

(3x + 23) + 25 = 90

3x + 23 = 65

3x = 42

x = 14

3(14)+23 + 5y = 90°

5y = 25

y = 5

whats the answer im stuck ( -___-)

Answers

Answer:

(6r+7)+(13+7r)=13r+20

(13-1/2r)-(1-r)=12-1/2r

(-8-r)+(2r-4)=-12+r

Last one is r-13/6

Step-by-step explanation:

don leaves home 2pm. he drives 45 miles from home in the first hour

Answers

Answer:

if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm

Step-by-step explanation:

Your family buys tickets for the Ranger game. Each ticket costs $16. You also have to pay for parking. After buying 4 tickets, your total bill is $96.50.
a) How much did you pay for parking?
b) Write an equation that gives your total bill (in dollars) as a function of the number of tickets you buy. Be sure to define your variables!
c) How many tickets could you buy with $250 if you also have to pay for parking?​

Answers

Part (a)

Answer: $32.50

--------------------

Work Shown:

Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.

The total bill was $96.50

This leaves 96.50-64 = 32.50 for parking.

======================================================

Part (b)

Answer:  y = 16x+32.50

--------------------

Work Shown:

x = number of tickets

y = total bill (in dollars)

1 ticket costs 16 dollars

x tickets cost 16x dollars since we multiply both values by x

Add on the cost of parking to get a total bill of y = 16x+32.50

======================================================

Part (c)

Answer:  at most 13 tickets

In other words, 13 is the max you can get.

--------------------

Work Shown:

Plug y = 250 into the equation found back in part (b). Solve for x

We'll follow PEMDAS in reverse to isolate x

y = 16x+32.50

250 = 16x+32.50

16x+32.50 = 250

16x = 250-32.50

16x = 217.5

x = 217.5/16

x = 13.59375

Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.

x = 13 is the answer we're after.

If we plug in x = 13, we get

y = 16x+32.50 = 16*13+32.50 = 240.5

while x = 14 leads to

y = 16x+32.50 = 16*14+32.50 = 256.5

The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.

a) The parking fee is $32.50.

b) The equation is T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

We have,

a)

Total bill - Cost of tickets = Parking fee

$96.50 - ($16 * 4) = Parking fee

$96.50 - $64 = Parking fee

Parking fee = $32.50

b)

Total bill = T

Number of tickets = N

The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:

T(N) = 16N + Parking fee

c)

T(N) = 16N + Parking fee

Substituting the given values:

$250 = 16N + Parking fee

$250 = 16N + $32.50

$250 - $32.50 = 16N

$217.5/16 = N

N ≈ $13.6

Thus,

a) $32.50

b) T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

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Dan earns £400 over the course of a five-day week. How much is that per day?

Answers

Answer:

£80

Step-by-step explanation:

If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.

Answer:

£80

Step-by-step explanation:

divide £400 by 5

400/5 = 80

PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON

Answers

Answer:

Its C

Step-by-step explanation:

The price of a smart watch is $109.99 and the sales tax is 6.5%. What is the total cost of the smart watch? Enter your answer in the box.

Answers

Answer:

$117.14

Step-by-step explanation:

A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.

So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.

109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)

In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.

$109.99 + $7.15 = $117.14

The total cost of the smart watch is $117.14

Answer:

$117.14

Step-by-step explanation:

I toke the quiz and a k12 student.

HELP ME PLEASE!!!! explain how to solve y^4-81/y-3

Answers

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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diving simply the following: 3 power 12÷3 power 7​

Answers

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[tex] {3}^{12} \div {3}^{7} = [/tex]

[tex] {3}^{12} \times {3}^{ - 7} = [/tex]

[tex] {3}^{12 - 7} = {3}^{5} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

100
120
240
720

Answers

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

Learn more about the combination visit:

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Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Answers

Answer:

B. 19 inches and 60 inches.

Step-by-step explanation:

Required

Select matching pairs

Represent diameter with D and Circumference with C

C is calculated as:

[tex]C = \pi D[/tex]

Where

[tex]\pi = 3.142[/tex]

A. D = 5m; C = 22m

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 5[/tex]

[tex]C = 15.71[/tex]

15.71 does not approximates to 22m.

Hence, the pair do not match

B. D = 19 in; C = 60 in

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 19[/tex]

[tex]C = 59.698[/tex]

59.698 approximates to 60.

Hence, the pair match

C. D = 33 cm; D = 80 cm.

Using: [tex]C = \pi D[/tex]

[tex]C =3.142 * 33[/tex]

[tex]C =103.686[/tex]

103.686 does not approximates to 22m.

Hence, the pair do not match

From the analysis above, only option B matches the diameter with the circumference

the sum of two numbers is 100 and their difference is 80, what are the two numbers

Answers

Answer:

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation:

90 and 10
Answer:
x=90
y=10

Explanation:
Let x be equal to the first number.
Let y be equal to the second number.

We know that the sum of the two numbers is 100, so we can say that x+y=100.

We also know that the difference of the two numbers is 80, so we can also say that x-y=80

And now we have our two equations:

x+y=100
x-y=80

To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).

x+y=100
x-y=80
-> 2x=180

2x=180
Divide both sides by 2
2x/2=180/2
x=90

Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.

x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10

Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.

I hope this helps!

Give reasons for why it is isosceles ​

Answers

Answer:

because two angles are equal

What is the absolute value of 2.8?

Answers

Answer:

2.8

Step-by-step explanation:

It is the same

The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?

a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz

Answers

Answer:

B. 12.96

Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.

Answer:12.69

Step-by-step explanation:

7.2 pounds + 80% =

12.96 pounds im telling you

PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to be honest please help.

Answers

Answer:

Step-by-step explanation:

We have

[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]

[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]

[tex]x = 2.929947041[/tex]

to the third decimal is 2.930 (i might be wrong on the rounding part)

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What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n

Answers

Answer:

27

Step-by-step explanation:

9x3 is 27. Coefficient is the number in the term.

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

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