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myrzilka [38]
3 years ago
14

The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for th

e perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

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Answer:

Step-by-step explanation:

number of likely voters = 2022

candidate A = 49%

candidate B = 46%

margin of error = 5%

using the concept of a confidence interval to explain

from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.

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6 0
3 years ago
What is each number in scientific notation? Drag the answer into the box to match each number.
aleksklad [387]

Answer:

 500,000,000,000=5*10^{11}

 0.00000000005=5*10^{-11}

Step-by-step explanation:

By definition, Scientific Notation has the following form:

a*10^n

Where "a" is a number from 0 to 10 (but not including 10) and the exponent "n" is an integer.

To write a number in Scientic Notation form, the decimal point must be located  to the right of the first digit of the number. In order to do that, you need to move the decimal point to the left or to the right.

The exponent "n" indicates how many places you moved the decimal point:

- If you moved it to the right, then "n" is negative.

-  If you moved it to the left, then "n" is positive.

Given these numbers:

a) 500,000,000,000

You need to move the decimal point 11 places to the left. Then:

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b) 0.00000000005

You need to move the decimal point 11 places to the right Then:

0.00000000005=5*10^{-11}

4 0
3 years ago
a worm is climbing out of a 20 in. hole. The worm climbs 4 inches during each day and at night falls back 10% of the height the
madreJ [45]
First day
ok so 4 inches up means 4 iches above the bottom, 10% of 4 is 0.4, and 4-0.4=3.6

second day
3.6+4=7.6, now 10% of that is 0.76, 7.6-0.76=6.84

third day
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fourth day, at begining is at the end of third

worm is 9.756 in above the bottom of hole
20-heightup=height from top
20-9.756=10.224

answer is 10.224 inches from top
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Liula [17]

Answer:

Statistical scores and rankings are useful because they provide quantitative figures that represent the student's level of understanding. These methods of ranking can give the observer an opportunity to quickly analyze results but they leave out other factors that are both quantifiable and non-quantifiable. For example, the data won't explicitly convey the time an individual studies but it is compelling to say that good scores and time studying gave a linear relationship. An example of something that is non-quantifiable is the experiences and past knowledge that can affect how well an individual understands and tests on a specific subject.

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