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Snezhnost [94]
3 years ago
11

Answer the question.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0
$280

10 * 28 = 280 hope this helps :)
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Prove that root 7 is irrational by the method of contradiction
Alchen [17]

Let assume that \sqrt7 is a rational number. Therefore it can be expressed as a fraction \dfrac{a}{b} wherea,b\in\mathbb{Z} and \text{gcd}(a,b)=1.

\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2

This means that a^2 is divisible by 7, and therefore also a is divisible by 7.

So, a=7k where k\in\mathbb{Z}

(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2

Analogically to a^2=7b^2 ------- b^2 is divisible by 7 and therefore so is b.

But if both numbers a and b are divisible by 7, then \text{gcd}(a,b)=7 which contradicts our earlier assumption that \text{gcd}(a,b)=1.

Therefore \sqrt7 is an irrational number.

8 0
4 years ago
3. A woman deposits Php 23,200 into her account. How much would
nikklg [1K]

Answer:

(assuming simple interest)

I'll setup the problem and you can do the computation

Step-by-step explanation:

The formula for simple interest:

I = P*r*t

P = deposits

r = interest rate per period (a year)

t = number of periods

P = Php 23,200

r = 0.06

t = 1

If you have questions, send me a comment 

3 0
3 years ago
a test has 40 questions. denise finished 2/5 of the questions in the first 10 minutes and 1/2 of the remaining questions in the
timofeeve [1]
That would be 28 questions. Hope I helped!
3 0
3 years ago
74.21 in written form
DENIUS [597]
Seventy four and twenty-one hundredths. 
5 0
3 years ago
5 X 4,257 estimate <br><br> Estimate <br><br> Answer <br><br><br> Please type it like that
Nadya [2.5K]

Answer: 20,000

Step-by-step explanation:

We can estimate the product of 5 and 4,257 by multiplying 5 by 4,000

5 * 4,000 = 20,000

The product of 5 and 4,257 is about 20,000

The real answer (not an estimate)

21,285

That is around 20,000 so we are correct

5 0
3 years ago
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