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3 years ago

1. When you move the decimal point two places to the left to convert a metric unit it is the same as ???? The measurement

Mathematics

1 answer:

Sveta_85 [38]3 years ago

4 0

we know that

The metric system is a called a decimal-based system because it is based on multiples of ten.

Part 1) When you move the decimal point two places to the left to convert a metric unit it is the same as ?

It's the same as dividing the measurement by 100.

Part 2) When you move the decimal point two places to the right to convert a metric unit it is the same as ?

It's the same as multiplying the measurement by 100.

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3 years ago

The point that lie on the line y= -x +5

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3 years ago

A plant is 3 inches tall when you purchase it and grows 2 inches per month. write an equation that represents the length y (in i

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Answer:

3y=2x

Step-by-step explanation:

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3 years ago

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Which represent geometric sequences? A marathon runner runs half of a race, then runs half the distance left to the finish line,

dimulka [17.4K]

Answer:

Step-by-step explanation:

1). Let the length of a marathon race = x miles

Marathon runner runs this race in the sequence formed as,

$\frac{x}{2},\frac{x}{4},\frac{x}{8}.........$

Common ratio = $\frac{\frac{x}{4}}{\frac{x}{2}}$

= $\frac{x}{4}\times \frac{2}{x}$

= $\frac{1}{2}$

Therefore, it's a geometric sequence.

2). First movie rental cost = $2

Followed by each additional movie rental cost = $1

Therefore, rental of movies will be in the form of a linear equation,

y = 2x + 1

where x = number of movies

And y = Rental of movies

It's not a geometric sequence.

3). 10, 1, 0.1, 0.01.......

Ratio in 2nd and 1st term = $\frac{1}{10}=0.1$

Ratio in 3rd and 2nd term = $\frac{0.1}{1}=0.1$

Therefore, ratio in each term is common.

Sequence formed will be a geometric sequence.

4). $\sum_{k=1}^{7}4(0.2)^{k-1}$

Expression represents a common ratio of 0.2,

Therefore, expression given will represent a geometric sequence.

5). -4, 20, -100, 500, ...........

Ratio of 2nd and 1st term = $\frac{20}{-4}$ = -5

Ratio of 3rd and 2nd term = $\frac{-100}{20}$

= -5

There is a common ratio = -5

Therefore, it's a geometric sequence.

6). -1, 5, 11, 17.........

Ratio of 2nd and 1st term = $\frac{5}{-1}=-5$

Ratio of 3rd and 2nd term = $\frac{11}{5}=2.2$

-5 ≠ 2.2

Therefore, sequence is not a geometric sequence.

7). -500, 100, -20, 4........

Ratio of 2nd and 1st term = $\frac{100}{-500}=-\frac{1}{5}$

Ratio of 3rd and 2nd term = $\frac{-20}{100}=-\frac{1}{5}$

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3 years ago

What is 82% of 525? Show work

True [87]

Answer:

430.5

Step-by-step explanation:

1. We assume, that the number 525 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 525 is 100%, so we can write it down as 525=100%.

4. We know, that x is 82% of the output value, so we can write it down as x=82%.

5. Now we have two simple equations:

1) 525=100%

2) x=82%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

525/x=100%/82%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 82% of 525

525/x=100/82

(525/x)*x=(100/82)*x - we multiply both sides of the equation by x

525=1.219512195122*x - we divide both sides of the equation by (1.219512195122) to get x

525/1.219512195122=x

430.5=x

x=430.5

now we have:

82% of 525=430.5

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3 years ago

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