1. This table représents Ana's check register. Her checking account had a balance of


$1,093. 12 on October 8.


Use the information in the check register to determine the balance of Ana's checking


account after the transaction on October 22.


Ana's Check Register


Date


Description


Deposit


Withdrawal


Balance


10/8


$1,093. 12


10/15


Rent


$525. 50


10/22


Paycheck


$645. 87

Answers

Answer 1

The balance of Ana's checking account after the transaction on October 22 is $1,213.49.


To determine the balance of Ana's checking account after the transaction on October 22, we'll follow these steps:

1. Start with the initial balance on October 8: $1,093.12
2. Subtract the withdrawal for rent on October 15: $1,093.12 - $525.50 = $567.62
3. Add the deposit from the paycheck on October 22: $567.62 + $645.87 = $1,213.49

The balance of Ana's checking account after the transaction on October 22 is $1,213.49.

Learn more about account balance,

https://brainly.com/question/14541900

#SPJ11


Related Questions

I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.

Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.

Answers

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501

Answers

Answer: 2.15, 2.2, 2.2012, 2.501

Answer:

the answer is 2.15, 2.2, 2.2012, 2.501.

Step-by-step explanation:

yassss kwqueeennnnnn

yassss kwqueeennnnnn

Answers

Answer:

e

Step-by-step explanation:

Answer:

periodd aahh

Step-by-step explanation:

Calculate the derivative. (Use symbolic notation and fractions where needed.)
d/ds ∫−8stan(u2+91)du=

Answers

The derivative of the integral ∫[-8stan(u^2+91)]du with respect to s can be found using the fundamental theorem of calculus and the chain rule.

d/ds ∫[-8stan(u^2+91)]du = -8stan(s^2+91) * 2s

The fundamental theorem of calculus states that if F(x) = ∫[a to x]f(t)dt, then d/dx F(x) = f(x). In this case, we have an integral with an upper limit of s^2+91, so we can apply this theorem.

We can rewrite the integral as F(s) = ∫[-8stan(u^2+91)]du. Now, to differentiate F(s) with respect to s, we apply the chain rule. The chain rule states that if F(x) = g(h(x)), then dF(x)/dx = g'(h(x)) * h'(x).

In our case, h(x) = s^2+91, and g(x) = -8tan(x). We differentiate g(x) with respect to x, giving us g'(x) = -8sec^2(x). Then, we differentiate h(x) with respect to s, which gives us h'(x) = 2s.

Applying the chain rule, we multiply g'(h(x)) and h'(x):

dF(s)/ds = -8tan(s^2+91) * 2s

Therefore, the derivative of the integral with respect to s is -8tan(s^2+91) * 2s.

Learn more about  derivative  here:

https://brainly.com/question/29144258

#SPJ11

One of the output functions of a three inputs 3x8 decoder combinational output function in sum-of- minterms form: F = (0,1,2,3,7). What is the c function of this output? a) (x + y) (y+z) b) (x+y)(x+z) c) (y + 2) (x + 2)

Answers

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

To learn more about function, click here: brainly.com/question/11624077

#SPJ11

Which value of "X" is a solution to this equation?
4x2 +22x +10

Answers

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz

Answers

here you go, hope this helped
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz

Find the least common denominator.
12 - y2
The least common denominator of the rational numbers (82 – 81 + 15) and 15(52 - 6x + 9) is
32
Reset
Next

Answers

Answer:

52/82

Step-by-step explanation:

6-9+15-52

15-81+82

52/82

Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?

Write an equation that could be used to find the retail price for each range. How do you know the equation

Answers

Answer:

It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:

The retail price for the first range (0-20 pairs)

The retail price for the second range (21-40 pairs)

The retail price for the third range (41-60 pairs)

The retail price for the fourth range (61-80 pairs)

The retail price for the fifth range (81 or more pairs)

Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:

if (quantity >= 0 and quantity <= 20):

retail_price = price for 0-20 pairs

elif (quantity >= 21 and quantity <= 40):

retail_price = price for 21-40 pairs

elif (quantity >= 41 and quantity <= 60):

retail_price = price for 41-60 pairs

elif (quantity >= 61 and quantity <= 80):

retail_price = price for 61-80 pairs

else:

retail_price = price for 81 or more pairs

This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.

EDIT:

To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:

if (quantity >= 0 and quantity <= 20):

retail_price = 25.00

elif (quantity >= 21 and quantity <= 40):

retail_price = 23.00

elif (quantity >= 41 and quantity <= 60):

retail_price = 21.00

elif (quantity >= 61 and quantity <= 80):

retail_price = 19.00

else:

retail_price = 17.00

This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).

Step-by-step explanation:

(0)

Let L1 and L2 be any two context-free languages, for both of which Σ = { a, b }. Which of the following languages is context-free?

A. L1 ∩ L2

B. {a, b }* − L1

C. L2 L1

a. A and C

b. C only

c. B and C

d. A and B

Answers

The correct answer is option A, A and C.  A context-free language is one that can be generated by a context-free grammar.

We need to determine which of the given languages is context-free.

Option A is the intersection of two context-free languages L1 and L2. The intersection of context-free languages is also a context-free language. Hence, option A is context-free.

Option B is the complement of a context-free language L1, which means it contains all strings over {a, b} that are not in L1. The complement of a context-free language is not necessarily context-free. Hence, option B may or may not be context-free.

Option C is the concatenation of two context-free languages L2 and L1. The concatenation of context-free languages is also a context-free language. Hence, option C is context-free.

Therefore, options A and C are context-free, and the correct answer is A and C, option a.

Learn more about context here:

https://brainly.com/question/10943525

#SPJ11

help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
Help
PLEASE!!!!!!!



Plz






Help
















Help

helpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpPLEASE!!!!!!!PlzHelpHelp

Answers

Step-by-step explanation:

y = mx + b

\( \frac{2}{3} = ( - 1)( - 1) + b\)

\( \frac{2}{3} - 1 = b\)

\( \frac{2}{3} - \frac{3}{3} = b\)

\( - \frac{1}{3} = b\)

Answer:

The next step would be to multiply your slope by your x value.

Step-by-step explanation:

The overall answer would is b=-1/3

BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤

3(3+4)
Please answer using PEMDAS And please answer correctly

Answers

Answer:

21

Step-by-step explanation:

3 (7) = 21

Answer:

The answer is 21

Step-by-step explanation:

3(3+4)

3(7)

21

Hope this helps!

reports the following operating results for the month of august: sales $456,000 (units 5,700), variable costs $273,600, and fixed costs $102,600

Answers

(1) $132,000 is the net income

(2) $66,000 total income

Selling price per unit:

= Sales ÷ No. of units

= $456,000 ÷ 5,700

= $80

Variable cost per unit:

= variable cost ÷ No. of units

= $102600 ÷ 5,700

= $18

Alternative 1:

Contribution margin = Sales - variable cost

                                 = (5,700 × $80 × 1.1) - (5,700 × $18)

                                 = $440,000 - $210,000

                                 = $230,000

Net income = Contribution margin - Fixed cost

                  =  $230,000 - $98,000

                  = $132,000

Alternative 2:

Contribution margin:

= sales - variable cost

= $456,000 - ($456,000 × 59%)

= $456,000 - $236,000

= $164,000

Net income = Contribution margin - Fixed cost

                  =  $164,000 - $98,000

                  = $66,000

learn more about of sales here

https://brainly.com/question/13625576

#SPJ4

Find the slope of the line that passes through
(10, 1) and (5,2)

Answers

Answer:

the slope of the line is -1/5

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

\(m=-\frac{1}{5}\)

Step-by-step explanation:

Convert the equation g(x) = −(x − 7)2 +5 into standard form.

Answers

Answer:

7

Step-by-step explanation:

You have to add 2 and 5, the rest is stuff to distract you

Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. How far is the kite above the ground?

Answers

If Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. The kite is about 61 meters above the ground.

How to find the height?

We can use trigonometry to solve the problem. Let's call the height of the kite above the ground "h".

Using trigonometry, we can write:

sin (70) = h / 65

Solving for h, we get:

h = 65 * sin(70)

h= 65 * 0.9397

h ≈ 61 meters

Therefore, the kite is about 61 meters above the ground.

Learn more about height here: https://brainly.com/question/73194

#SPJ1

PLEASE HELP ME this is my last question

PLEASE HELP ME this is my last question

Answers

The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ1

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The
probability that the drawn card has a number which is a perfect square like 4,9....is
(a) 1/45
(b) 2/15
(c) 4/45
(d) 1/9

Answers

Answer:

The  probability that the drawn card has a number which is a perfect square is (d) \(\dfrac{1}{9}\).

Step-by-step explanation:

A box contains cards numbered \(6\) to \(50\). So there are total \(45\) cards, which is the sample space.

Among these cards, the numbers which are a perfect square are \(9,16,25,36,49\). So, there are \(5\) perfect square number cards, whose probability we have to find.

Its probability is given by,

\(\begin{aligned}\dfrac{Cards Present}{Sample Space} &= \dfrac{5}{45} \\&=\dfrac{1}{9}\end{aligned}\)

So, option d is correct.

What is the purpose of performing the overall F-test? Select one.a. It is used to test whether at least one of the predictor variables is significant in
a regression model.
b. It is used to test two regression models to test whether additional predictor
variables should be added in the model.
c. It is used to estimate the sum of squared residuals.
d. It is used to test if a specific predictor variable is significant in a regression
model.

Answers

The purpose of performing the overall F-test is to test whether at least one of the predictor variables is significant in a regression model.

This is option a.

The F-test is used to determine if the entire regression model is significant, rather than just one individual predictor variable. If the F-test is significant, it means that at least one of the predictor variables has a significant relationship with the dependent variable.

This can help us determine if the regression model is useful in predicting the dependent variable.

The F-test is an important step in regression analysis, as it can help us determine if our model is valid and useful for making predictions.

Hence Option A is correct.

For more similar questions on F-test:

brainly.com/question/28196383

#SPJ11

determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)

Answers

Answer:the pairs are not a quadratic eqation

Step-by-step explanation:

The differences between the differences of the y value are not consistent

The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

The set of ordered pairs

(5,7),(7,11),(9,14),(11,18)

We have to determine whether the  (5,7),(7,11),(9,14),(11,18) is quadratic function or not.

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

The difference between the y values is not same

11-7=4

14-11=3

18-14=4

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

True or false? A concave shape curves outwards.

Answers

Answer:

false

Step-by-step explanation:

hope this helps have a great day

False hope this helps!

Divide 8x³+x²-32x-4 by x2-4.
OA. 8x² +33x+100+
OB. 8x²-31x+156-.
O C. 8x-1
OD. 8x+1
396
x² - 4
620
-4

Answers

The correct answer is OD. 8x + 1.

To divide 8x³ + x² - 32x - 4 by x² - 4, we can use polynomial long division.

The dividend is 8x³ + x² - 32x - 4, and the divisor is x² - 4.

We start by dividing the highest degree term, which is 8x³, by x². This gives us 8x.

Next, we multiply the divisor x² - 4 by the quotient 8x. The result is 8x³ - 32x.

Subtracting 8x³ - 32x from the dividend, we get x² - 32x.

Now, we divide x² - 32x by x² - 4. This gives us 1.

Multiplying the divisor x² - 4 by the quotient 1, we get x² - 4.

Subtracting x² - 4 from the remaining dividend, which is -32x, we get -32x + 4.

Since we can no longer divide, the final result is the quotient we obtained: 8x + 1.

Therefore, the correct answer is:

OD. 8x + 1.

for such more question on polynomial

https://brainly.com/question/15702527

#SPJ8

What is the solution to p+1/2 = 3p + 7/5? Help would be appreciated. Do your best pls

Answers

Answer:

p = -9

Step-by-step explanation:

So, we need to find the value of p.

Please refer to the ATTACHMENT.....

I hope it will help.
What is the solution to p+1/2 = 3p + 7/5? Help would be appreciated. Do your best pls

Rite the phrase as an expression. Then evaluate when y=20. 3 less than the quotient of a number y and 4 Expression: When y=20, the value of the expression is .

Answers

Answer:

\(\frac{y}{4} - 3\)

\(\frac{y}{4} - 3 = 2\) -- when y = 20

Step-by-step explanation:

The quotient of y and 4 can be represented as:

\(\frac{y}{4}\)

3 is less the above expression is:

\(\frac{y}{4} - 3\)

So, the required expression is: \(\frac{y}{4} - 3\)

When y = 20, we have:

\(\frac{y}{4} - 3 = \frac{20}{4} - 3\)

\(\frac{y}{4} - 3 = 5 - 3\)

\(\frac{y}{4} - 3 = 2\)

Answer:

555

Step-by-step explanation:

edge test 100%

7.

PLEASE READ AND HELP A SIS OUT!!!




As of January, the city of Boston has experienced 7 fewer inches of snow than had been forecast for the winter. If a snowstorm is expected to drop between 4 and

12 inches of new snow this week, which range of values would represent the total amount of snow compared to the winter's forecast?

A. Between -3 inches and 5 inches

B. Between -3 inches and -5 inches

C. Between 3 inches and 5 inches

D. Between 3 inches and 19 inches

E. Between 11 inches and 19 inches


Answers

Answer:

hi sister

Step-by-step explanation:

Im also a girl teehee

13. security y has the following returns over five years: 3%, 6%, 0%, 6%, and 3%. what is the arithmetic mean (average) return and the standard deviation (sample) for security y?

Answers

The arithmetic mean return is 3.6%, and the standard deviation is 2.14%.

To find the arithmetic mean, we add up the five returns and divide by the number of returns (in this case, 5):

(3% + 6% + 0% + 6% + 3%) / 5 = 3.6%

To find the standard deviation, we first need to find the variance. We can do this by taking each return, subtracting the mean return (3.6%), squaring the result, summing these values, and dividing by the number of returns minus 1 (4 in this case):

((3% - 3.6%)^2 + (6% - 3.6%)^2 + (0% - 3.6%)^2 + (6% - 3.6%)^2 + (3% - 3.6%)^2) / 4 = 0.046

The standard deviation is the square root of the variance:

√0.046 = 0.214 or 2.14%

Therefore, the arithmetic mean return for security y is 3.6%, and the standard deviation (sample) is 2.14%.


To know more about arithmetic mean, refer here:

https://brainly.com/question/13000783#

#SPJ11

Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)

Find the equation for thefollowing parabola.Vertex (2, -1)Focus (2, 3)

Answers

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Ali and Felicia analyzed the patterns of equivalent ratios for StartFraction 3 Over 8 EndFraction in the table below.

A multiplication table. In the column labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27 are highlighted. In the column labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.

The table below summarizes the method that each person used to write equivalent ratios for StartFraction 3 Over 8 EndFraction.

Step 1: Step 2: First ratio Step 3: Second ratio
Ali Extend the table to column 16. Pick a row. Write a ratio comparing a number in column 6 to a number in column 16. Pick a different row. Write a ratio comparing a number in column 6 to a number in column 16.
Felicia Extend the table to column 24. Pick a row. Write a ratio comparing a number in column 9 to a number in column 24. Pick a different row. Write a ratio comparing a number in column 9 to a number in column 24.

Which person has a pattern of equivalent ratios for StartFraction 3 Over 8 EndFraction?
Ali only
Felicia only
both Ali and Felicia
neither Ali nor Felicia

Answers

Answer:

Your answer would be c! Have a WONDERFUL DAY!! <3

Step-by-step explanation:

Answer:IT'S C LISTEN TO HER/HIM FOR CHRIST SAKES

Step-by-step explanation:Pls mark me brainliest

assuming that other factors are held constant, which of the following would tend to increase the likelihood of rejecting the null hypothesis? group of answer choices increase the sample variance decrease the sample size none of the other 3 options would increase the likelihood. increase the sample mean difference

Answers

Assuming that other factors are held constant, the sample means difference Increases. (option C)

The null hypothesis and the alternative hypothesis are the two types of hypotheses for a test.

Step 1: The null hypothesis is based on the assumption that there is no difference between the true mean (µ) and the compare value (\(m_{o}\)). The alternative hypothesis is based on this assumption.

Step 2: Increasing the sample mean difference would probably make it more likely that the null hypothesis will be rejected, as long as other factors stay the same.

As a result, option C is the right one.

Know more about the null hypothesis here: https://brainly.com/question/28920252

#SPJ4

(Complete question)

Assuming that other factors are held constant, which approach would tend to increase the likelihood of rejecting the null hypothesis?​

a. ​Decrease the sample mean difference.

b. ​Increase the sample variance.

c. ​Increase the sample mean difference.

d. ​Decrease the sample size.

Statements
Sometimes True
Always True
Never True
The sum of a rational number and an irrational number is rational.
O
O
O
The product of a rational number and a rational number is rational.
O
o
о
The sum of an irrational number and a rational number is irrational.
The product of an irrational number and a rational number is irrational.
O
O
о
The sum of a rational number and a rational number is rational.

Answers

Answer:

statement are always true

Sometimes True:

The sum of a rational number and an irrational number is rational.

Always True:

The product of two rational numbers is always rational.

Always True:

The sum of an irrational number and a rational number is irrational.

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

Sometimes True:

The sum of a rational number and an irrational number can be rational or irrational depending on the numbers chosen.

For example, 1 + √2 is irrational, but 1/2 + √2/2 is rational.

Always True:

The product of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Always True:

The sum of an irrational number and a rational number is always irrational. This can be shown by contradiction.

Assume that the sum of an irrational number a and a rational number b is rational.

Then (a + b) - b is also rational, which implies that a = (a + b) - b is rational, contradicting the assumption that a is irrational.

Sometimes True:

The product of an irrational number and a rational number can be rational or irrational depending on the numbers chosen.

For example, √2 x 2 is irrational, but √2 x (1/√2) = 1 is rational.

Always True:

The sum of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Thus,

Sometimes True:

The sum of a rational number and an irrational number is rational.

Always True:

The product of two rational numbers is always rational.

Always True:

The sum of an irrational number and a rational number is irrational.

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ7

Other Questions
what fraction is greater than 3/4 5/8 10/12 7/16 10/20 [tex]\frac{b + 11}{3}[/tex] = -2 So If 2 different elements make a compound, what does 2 compounds make? A company is saving for some new equipment. They plan to invest $14,888 per year starting the end of this year (year 1), and increasing the investment by 7.8% per year. If the interest rate is 7.8%, how mucl can they spend in 6 years? Theorems and Proofs problem Ill send a picture of the question 2z -3y + x +(-5y)-6z - 3x simplify exspression The Facts Up Front labeling is a standardized presentation of nutrient information that benefits consumers in which way Corner Solutions (complete specialization) are very unlikely, in spite of comparative advantage, because1. law of increasing opportunity cost2. some goods are less tradeable than others3. world demand4. all of the above When a someone falls to the floor after drinking too much alcohol the organelle that will best help them to detoxify will be_________. nucleus What did Houdons style come to be associated with?-Art history on Edge Is (-3,-9) a solution of the equation y = 3x ?O YESO NOO NOT A SOLUTION A current density of 6.00 x 10-13 A/m exists in the atmosphere at a location where the electric field is 100 V/m. Calculate the electrical conductivity of the Earth's atmosphere in this region. Nurses communicate with a wide variety of people each day:patients, families, other nurses, people in the community, andother healthcare professionals.What factors ensure that both written and ora infants characterized as securely attached in ainsworths strange situation paradigm tended to When caring for a child diagnosed with west nile virus, the nurse will question which prescription from the primary health care provider? Drag each tile to the correct box.Put the events in the correct order. beginning of the Korean War Vanguard 1 launched beginning of the Cold War launch of Sputnik 1 if a question mark market share continues to grow, and it remains in a strong growth market, it becomes a: ________ refers to the concept that human brain maturation takes a long time relative to that of other species. Deon needs to read novels each month.Let N be the number of novels Deon needs to read in M months.Write an equation relating N to M. Then graph your equation using the axes below. Which term does not belong?termcoefficientconstantslope