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Aliun [14]
2 years ago
13

On Friday, Carlotta had 6/8 of her paper left to write. She wrote 2/6 of the paper on Saturday and ¼ of the paper on Sunday. At

the end of the weekend, what fraction of her paper does Carlotta have left to write?
Mathematics
1 answer:
alukav5142 [94]2 years ago
5 0

Answer:

\frac{1}{6}

Step-by-step explanation:

<u>Skills needed: Fraction Subtraction, Least Common Denominator (LCD)</u>

1) \frac{6}{8} - \frac{2}{6} - \frac{1}{4} is the operation you would do.

--> You would do this because, Carlotta has \frac{6}{8} of the paper left, and does one fraction amount (\frac{2}{6}) on Saturday & does another fraction amount (\frac{1}{4}) on Sunday.

-->  Using subtraction is the best way

2) Now, we need to figure out the Least Common Denominator for all 3 fractions.

8,6,4 are the denominators.

The lowest number that is a factor of all them is 24.

So, it would then become \frac{18}{24} - \frac{8}{24} - \frac{6}{24}

This would become: \frac{18-8-6}{24} (18-8-6 = 4)

So then: \frac{4}{24} is your answer.

This simplifies into \frac{1}{6}.

Hope this helps and have a nice day!! :) :]

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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0
2 years ago
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students
Roman55 [17]

Answer:

  • 2.28%

Step-by-step explanation:

<u>Given:</u>

  • μ = 80
  • σ = 12
  • x = 104

<u>Find z-score:</u>

  • z = (x - μ)/σ
  • z = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

<u>Percentage of students earned more than $104:</u>

  • 100 - 97.72 = 2.28
5 0
2 years ago
An elephants heart beats 28 times per minute.How many times does it beat in a half an hour?
Bumek [7]
30 x 28= 840

It's would beat 840 times in half an hour.
7 0
3 years ago
Lin sold 4 more shirts than Greg. Fran sold 3 times as many shirts as Lin. In total the three sold 51 shirts. Which represents t
Alex17521 [72]
 <span>Your Answer: D 

Why.... 

You can make equations out of the information 
Let L be Lin, G be Greg, and F be Fran 

L = 4 + G ---"Lin sold 4 more shirts than Greg" 
F = 3L ---"Fran sold 3 times as many shirts as Lin" 
F + G + L = 51 ---"In total the three sold 51 shirts" 

Use F + G + L = 51 
Substitute the equations in for F and L (because you need to know the G) like this.... 

(3L) + G + (4+G) = 51 

You still have a variable besides G in there... you can use the L= 4+G and substitute again so that there are only G's 

( 3(4+G) ) + G + (4+G) = 51 ---- SIMPLIFY :D 
( 12 + 3G ) + G + 4 + G = 51 
12 + 3G + G + 4 + G = 51 ---Combine like terms 
16 + 5G = 51 </span>
6 0
3 years ago
Name the angle? What type of angle is it?
Norma-Jean [14]

Given the figure of an angle:

The name of the angle will be: EPX

The type of the angle: obtuse

Because it is greater than 90

6 0
10 months ago
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