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Bingel [31]
3 years ago
5

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.

Mathematics
2 answers:
ankoles [38]3 years ago
4 0

Answer:

Step-by-step explanation:

To prove: The sum of a rational number and an irrational number is an irrational number.

Proof: Assume that a + b = x and that x is rational.

Then b = x – a = x + (–a).

Now, x + (–a) is rational because addition of  two rational numbers is rational (Additivity property).

However, it was stated that b is an irrational number. This is a contradiction.

Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.

Hence,  the sum of a rational number and an irrational number is irrational.

Goryan [66]3 years ago
4 0

Answer:

I believe the answer is B

Step-by-step explanation:

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Create a scatter plot using the data<br> in the table above.
GalinKa [24]

Answer:

Step-by-step explanation:

A scatter plot is a chart type that is normally used to observe and visually display the relationship between variables. It is also known as a scattergram, scatter graph, or scatter chart

7 0
3 years ago
Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the
netineya [11]

Answer:

yes

Step-by-step explanation:

Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome.

7 0
3 years ago
Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
When Mr. P. drinks an 8-ounce glass of cola, how many teaspoons of sugar is he consuming if one teaspoon of sugar provides 4 gra
natta225 [31]

The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

<h3>Calculation of total sugar quantity</h3>

The total amount of cola taken is 8-ounce

To covert ounce to grams , the following is carried out;

1 ounce =28.35g

8 ounce = X

Xg = 8 × 28.35

X = 226.8g

But one teaspoon = 4 grams

X teaspoon = 226.8g

cross multiply to solve for x

X = 226.8g/ 4

X = 56.7 teaspoons

Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

Learn more about multiplication here:

brainly.com/question/10873737

4 0
2 years ago
What is .07 times 1.22
lidiya [134]
.07×1.22 = ?
first take away the decimals in the question, 7×122 =854.
now add the decimals back to the answer, we had 4 decimal places in the questions so add 4 decimal places to 854 = 0.0854

answer= 0.0854
7 0
3 years ago
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