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AlexFokin [52]
2 years ago
7

The mean of six numbers is 8, and the mean of another four numbers is 5.

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

6.8

Step-by-step explanation:

8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).

5 * 4 = 20 (to un-average these numbers as well).

48 + 20 = 68

68 / 10 = 6.8

Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.

Hope this helped. :)

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Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
const2013 [10]

The coordinate of the point is (6,-2)

<h3>How to determine the coordinate of the point?</h3>

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

(x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)

So, we have:

(x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)

Evaluate

(x,y) = \frac{1}{6}* (36 , -12)

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

Read more abut line segment ratio at:

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6 0
2 years ago
Gail can use her 12% employee discount once a week. Last Sunday, she bought a $45 sweater at 1/3 off and used her discount on th
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Statement 1 : Gail bought a $45 sweater at 1/3 off.

<u>Discount in Sweater Purchase:</u>

\frac{1}{3} \; of \; 45 = \frac{1}{3} \times 45 \; = \;\frac{45}{3} =\$15

Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.

Discount in Suit Purchase:

12\% \; of \; 140 =\frac{12}{100}  \times  140 = 0.12 \times 140 = \$16.8

Conclusion:

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An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu
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Multiply 32 feet per second by 60 to find feet per minute:

32 x 60 = 1920 feet per minute.

Divide total feet per minute by 3 feet to find yards per minute:

1920 / 3 =640 yards per minute.


6 0
3 years ago
What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?
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Therefore the center of the circle is the point (6,3)
6 0
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