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RoseWind [281]
3 years ago
7

What is the common denominator of 14 and 8

Mathematics
2 answers:
Akimi4 [234]3 years ago
6 0
It would be 56. The LCM of 14 and 8 is 56.
dalvyx [7]3 years ago
4 0
The common denominator between 14 and 8 is 2
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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
Please help quickly this is timed
liberstina [14]

Answer:

the one you have selected is correct

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.2 × 105
Oliga [24]

The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2  hours.

<h3>How many hours would it take to type 3.2 x 10^5 words?</h3>

Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: 1 x 10² is equivalent to 100

The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³

The second step is to divide 3.2 x 10^5 words by 2.4 x 10³

3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)

1.33 x 10^2  hours

To learn more about standard form, please check: brainly.com/question/25334755

#SPJ1

3 0
2 years ago
What concepts do you think belong in Geometry of mathematics?
dezoksy [38]
Fractions Area Volume length h
5 0
3 years ago
Does 2/7 =11/37 because idk
Bad White [126]

Answer:

no. i do not think so.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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