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PolarNik [594]
3 years ago
12

Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the

maximum possible weight, in kilograms, of the lightest box
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

3

Step-by-step explanation:

A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of numbers / number of observation

sum of numbers = 3 x 7 = 21

Median is the number that is at the center or middle of a set of obervations

x +  9+ y = 21

x= lowest number

y = highest number

x + y = 21 - 9

x + y = 12

If x = 1 y = 11

if x = 2 y = 10

if x = 3 y = 9

if x = 4 y = 8

the first 3 are plausible and the median would still be 9 if x = 4, median would be 8

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the number of calories consumed over multiple days can be determined form a person average consumption of 2000 calories per day.
dem82 [27]
Seeing that the human has 3 meals a day they would consume 666.66 calories per meal
8 0
3 years ago
a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?
Leona [35]

Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

 

(1/2)(x-4) = (1/3)(x+5)

 

3(x-4) = 2(x+5)

 

3x - 12 = 2x + 10

8 0
3 years ago
What si the soulution of 2/3 a - 1/6 = 1/3
11Alexandr11 [23.1K]

Answer:

3/4

Step-by-step explanation:

2/3a-1/6=1/3

2/3a=1/3+1/6

2/3a=3/6

2/3a=1/2

a=1/2X3/2

a=3/4

6 0
3 years ago
Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?
Basile [38]
\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \  \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.
6 0
3 years ago
In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
USPshnik [31]

The measure of the three angles are  56, 28 , 192 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices an three angles.

It is given to make system of equations

Let the measure of the first , second and third angle be x, y and z

the sum of the measures of the first two angles is 12 less than the measure of the third angle.

x +y = z -12  ----1

the measure of the first angle is twice as big as the measure of the second angle.

x = 2y

Now equation 1 will be

z - 3y = 12

x +y+z = 180

2y +y +z = 180

3y +z = 180 ----2

z - 3y = 12------3

On solving the system of equation 1, 2

2z = 192

z= 96 degree

3y = 180-96

y = 28

x = 56

Therefore the measure of the three angles area  56, 28 , 192 degree.

To know more about Triangle

brainly.com/question/2773823

#SPJ1

8 0
2 years ago
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