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4 years ago

Write the fraction 16/24 in simplest form

Mathematics

2 answers:

Fed [463]4 years ago

5 0

16/24 = 8/12 = 4/6 = 2/3

miskamm [114]4 years ago

4 0

We can divide 16 and 24 by 2 so we can simplify to 8/12 and we can do it again and get 4/6 and again to get 2/3. We can no longer simplify so that is the simplified answer.

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The endpoints of DE and D(-3, y) and x, 6). The midpoint of DE is M(4,2). What is the length of DE.

Natasha_Volkova [10]

If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units

The formula for calculating the midpoint is expressed as;

$M(x,y)=(\frac{x_1+x_1}{2}, \frac{y_1+y_2}{2})$

For the x-coordinate points:

X = -3+x/2

4 * 2 = -3 + x

8 = -3 + x

x = 8 + 3

x = 11

Get the value of y;

2 = y+6/2

y+6 = 2 * 2

y + 6 = 4

y = 4 - 6

y = -2

Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

$D=\sqrt{(6-(-2))^2+(11-(-3))^2}\\D=\sqrt{8^2+14^2}\\D=\sqrt{64 + 196}\\D= \sqrt{260}\\D= 16.12units$

Hence the length of DE is 16.12 units

Learn more here; brainly.com/question/22624745

3 0

2 years ago

Frank writes his name in both French and English with chalk, pen, pencil and marker. How many different ways did he write his na

AlekseyPX

Answer:

Step-by-step explanation:

There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.

There are 2 ways he wrote it: French and English

4*2=8

He wrote his name in 8 different ways.

5 0

3 years ago

A car's speed is 45 miles per hour. How far will it go in 4 hours and 20 minutes?

shusha [124]

195 miles

45x4=180

45 divided by 3=15

180+15=195

4 0

4 years ago

Read 2 more answers

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C

BARSIC [14]

Answer:

(A)the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Kareem plans to use the function $C(F) = \dfrac59(F-32)$ to convert temperature from degrees Fahrenheit to degrees Celsius.

The function gives a result in degrees Celsius. Therefore, 76.1 is in degree Fahrenheit and the result C(76.1) will be in degree Celsius.

Therefore, C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The correct option is A.

6 0

3 years ago

Read 2 more answers

A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur

Deffense [45]

Answer:

$\dfrac{2s^3+136}{s}$

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = $34$ ft^3$

Volume of the box = $s^2h$

Then:

$s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}$

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box $= 2(s^2+sh+sh)$

$S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}$

7 0

3 years ago