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Yuri [45]
3 years ago
5

What is the anwser to the problem

Mathematics
1 answer:
torisob [31]3 years ago
6 0

8 ) 712

8 goes into 71 8 times; the product of 8 and 8 is 64.

Subtracting this 64 from 71, we get 7, to which we append 2: 8 ) 72.

8 divides evenly into 72: 9.

Thus, the desired quotient is 89.

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There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL
Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since \lim_{n \to \infty} \frac{a}{2^{n}b } = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

3 0
3 years ago
Find the possible subsets of A = {a,b}​
Karolina [17]

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

7 0
3 years ago
A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?
san4es73 [151]
Your question is vague. There is not enough information. How many balls are in the box? 15 boxes would cost 109.80 thought.
3 0
3 years ago
A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
Amiraneli [1.4K]

Answer:

180%

Step-by-step explanation:

Set up an equation:

Variable x = percent of markup

102.56/56.98 = x/100

Cross multiply

102.56 × 100 = 56.98 × x

10,256 = 56.98x

Divide both sides by 56.98:

179.99297.... = x

Round to nearest whole number:

180 = x

Check your work:

56.98 × 180%

Convert the percentage into a decimal:

56.98 × 1.80

102.564

Round to nearest cent:

102.56

Correct!

8 0
3 years ago
A bean plant grows at a constant rate for a month. After 10 days, the plant is
777dan777 [17]

Answer:

B. y - 35 = 2(x - 10)

Step-by-step explanation:

The height of the plant, y, after x days could be modeled by the equation

<h3>y-y0=k(x-xo)     (1),</h3><h3>where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>From equation (1), k could be evaluated as follows:</h3><h3>k=(y-y0)/(x-x0) </h3><h3>From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>Thus,</h3><h3>k=(55-35)/(20-10)=2</h3><h3>Therefore, the model equation becomes</h3><h3>y-35=2(x-10)</h3><h3></h3>

6 0
3 years ago
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