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2 years ago

Prove that there exists a pair of consecutive integers such that one of these integers is a perfect square

Mathematics

1 answer:

dybincka [34]2 years ago

7 0

2^3 = 8

3^2 = 9

<span>Hense proved </span>

2 and 3 are consecutive

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Draw and use algebra tiles to solve the equation.<br><br> 2x - 3 = 5

Molodets [167]

Answer: x=4

Step-by-step explanation: Add 3 to both sides, Divide both sides by 22

3 0

2 years ago

Read 2 more answers

Herbert has sold 99, 37, 86, and 73 copeirs in the last 4 months, respectivly. How many copiers will he need to sell this month

jolli1 [7]

Answer:

Therefore 80 ceperies will he need to sell this month.

Step-by-step explanation:

Average: Average is the ratio of sum of all numbers to the total number present in the data.

Given that Herbert has sold 99, 37, 86 and 73 copeirs in the last 4 months.

Let he need to sell x copeirs in this month.

According to the problem,

$\frac{99+37+86+73+x}{5}=75$

⇒ 99+37+86+73+x= 75×5

⇒295 + x= 375

⇒x = 375 - 295

⇒ x= 80

Therefore 80 ceperies will he need to sell this month.

3 0

2 years ago

What function should you choose if you want to make a copy of a digital image file to back it up? Save Copy Save As All of the a

SashulF [63]

Answer:

What function should you choose if you want to make a copy of a digital image file to back it up? Save Copy Save As All of the above Question 7(Multiple Choice Worth 2

Step-by-step explanation:

6 0

2 years ago

The answer to these please!

igomit [66]

$\sqrt[4]{(4a^{2})^{6}} = \sqrt[4]{4096a^{12}} = 8a^{3}$

$\sqrt[7]{(b^{\frac{5}{3}})^{8}} = \sqrt[7]{b^\frac{40}{3}} = b^{\frac{40}{21}} = \sqrt[21]{b^{40}} = \sqrt[21]{b^{21} * b^{19}} = \sqrt[21]{b^{21}} \sqrt[21]{b^{19}} = b\sqrt[21]{b^{19}}$

$\sqrt[3]{\frac{c^{9}}{c^{3}}} = \sqrt[3]{c^{6}} = c^{2}$

$\sqrt[3]{27d^{6} * 8d^{-4}} = \sqrt[3]{27d^{6} * \frac{8}{d^{4}}} = \sqrt[3]{216d^{2}} = 6\sqrt[3]{d^{2}} = 6d^{\frac{2}{3}}$

4 0

3 years ago

Read 2 more answers

A city places 18 trash cans along a 13.5 miles stretch of beach. The trash cans are placed an equal distance apart. How many mil

Goryan [66]

Answer:

0.7941 miles

Step-by-step explanation:

I would think of this situation as a giant ruler.

The 18 trash cans can be thought of as endpoints on intervals in this giant ruler.

1--------2 --------3 --------4-----------5

If you notice the numbers that I wrote, there are five of them, but there are 4 intervals.

So we need to minus one from 18 to get 17 equal length intervals so that the trash cans are equally spaced.

Interval length = 13.5 miles / 17 intervals = 0.7941 miles

5 0

2 years ago