MATHEMATICS MIDDLE SCHOOL

The population of the state of Colorado was about 5,846,000 people in 2020. Which number best approximates the population as a single digit times a power of 10?

Answers

Answer 1

Answer:

Answer:

6x10^6

Step-by-step explanation:

You round up bc of the 8. Then you do the jump method and find the power of six.

Answer 2

Answer:

Answer:

Step-by-step explanation:

6x 10^6

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Norachai rented a bike from Adam's Bikes. It cost $17.10 plus $5 per hour. If Norachai paid $32.10 then he rented the bike for how many hours?

Answers

he biked 3 hours.

Hope this helps!

32.10 - 17.10 divided by five = FOUR HOURS!

When 24 is subtracted from 7 times a certain number, the result is 109. what is the number?

Answers

109 + 24 = 133133/7 = 19
The number is 19

What is the square root of 864

Answers

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$√(864) = √(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3)$

Take any number that is repeated twice in the square root, and move it outside of the root:

$√(864) = √((2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3)$

$√(2 \cdot 2) = √(4) = 2$

$√(3 \cdot 3) = √(9) = 3$

$√((2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3) = √((4) \cdot (4) \cdot 2 \cdot (9) \cdot 3)$

$√((4) \cdot (4) \cdot 2 \cdot (9) \cdot 3) = (2 \cdot 2 \cdot 3) √(2 \cdot 3) = \boxed{12 √(6)}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

The original value of a Tv is $2300. As a new model of TVs become available, the value decreases by 2% each year. What will the value of the Tv be in 7 years? Show the steps you took to solve this problem, including the function you created.

Answers

2300*.02=46

46*7=322

2300+322=2622

2622

its 1978$ cause you minus 322 cause 14% of 2300 is 322 and it says decrease

Dinesh thinks that the point (1,3) is on the line y = 4x - 2.State whether Dinesh is correct and give a reason to justify your answer.
pls help me thanks