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3 years ago

What is the average (arithmetic mean) of 5, 7, 12, and 12?

Mathematics

2 answers:

My name is Ann [436]3 years ago

8 0

The average of 5, 7, 12, and 12, is (5 + 7 + 12 + 12)/4.
(5 + 7 + 12 + 12)/4 = 36/4 = 9.
The average is 9.

inessss [21]3 years ago

4 0

To find the average, or mean, you add up all the numbers and divide the sum by the total number of numbers you added up.

5, 7, 12, 12
Add these numbers up ⇒ 5 + 7 + 12 + 12 = 36.
Divide 36 by the number of numbers added up, 4. ⇒ 36 ÷ 4 = 9

The mean of the numbers is 9.

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How are the points at each vertex of a triangle labeled?

Marat540 [252]

Answer:

t is common practise to label the vertices of a triangle with capital letters

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3 years ago

The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

$DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

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Darina [25.2K]

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3 years ago

How many gallons are in 8 1/4?

wlad13 [49]

The total number of gallons in 8.25 quartz is 2.0625 gallons

<h3>Conversion of gallons to quartz</h3>

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: brainly.com/question/898411

#SPJ1

7 0

2 years ago

Guadalupe's credit card has an APR of 23% calculated on the previous monthly balance and a minimum payment of 2% starting the mo

Harman [31]

Answer: To find the finance charge you multiply the balance times 0.23 / 12 .

To find the interest charge to an account, you have to multiply the balance by the percent rate (APR).

The problem in this case is that interest is charged monthly, but the rate is yearly.

To fix this problem, just divide the rate by 12.
0.23 / 12

8 0

2 years ago

Read 2 more answers