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morpeh [17]
3 years ago
5

The sum of two numbers is twice their difference. the larger number is 6 more than twice the smaller. find the numbers.

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0
Let the numbers be x and y; x being the larger number and y being the smaller.

Given,
 
x + y = 2* (x - y)

x + y = 2x - 2y

x = 3y

Also given,

x = 6 + 2y

3y = 6 + 2y

--- y = 6

Thus, x = 3y = 3*6 = 18.

Therefore, the numbers are 18 and 6.
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The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first
gulaghasi [49]

The question is incomplete so I am writing the complete question below and attaching the scatter plot as well.

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown

How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

Answer:

4 people have an actual height that differs by more than 3 cm from the height predicted by the line of best fit.

Step-by-step explanation:

The question is asking us to identify which people have a height that is more than 3 cm greater or more than 3 cm less then the height predicted by the line of best fit. Hence, we need to look at the outliers of the line if best fit i.e. the points which do not lie on the line. We need to select the points that differ by 3 or more cm.

So, we can see that the first person (4 cm) has an actual height of 157 cm but the line of best fit shows the height is 161.5. So, there is a difference of more than 3 cm (161.5 - 157 = 4.5).

The second outlier at 4.3 has an actual height of 175 cm but the line of best fit shows a height of 167 cm. There is a difference of 8 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.8 cm metacarpal bone height, the person's actual height is 172 cm but the graph shows a height of 176 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.

At 4.9 cm on the x-axis, the person has an actual height of 183 cm but the line of best fit shows 178 cm so this person also has an actual height which differs by more than 3 cm from the line of best fit.

So, in total there are 4 people out of 9 whose heights differ by more than 3 cm from the line of best fit.

6 0
2 years ago
When Anna was born 16 years ago, her small town of Lewisville had a population of 15,000. The population has increased 11% each
Alex17521 [72]
15.000 ÷ 100

150 = 1%

1650 = 11%

1650 x 16 = 26.400

26.400 + 15.000 = 41.400

So 41.400 is the population number now.
7 0
3 years ago
A game increased in price by 1/2 . After the increase it was priced at £27. What was the original price of the game? (Hegarty Ma
lukranit [14]

Answer:

£18

Step-by-step explanation:

Let

x = original price of the game

Increase in price = 1/2

New price = £27

x + 1/2x = £27

2x+x/2 = 27

3/2x = 27

x = 27 ÷ 3/2

= 27 × 2/3

= 54 / 3

x = £18

Therefore, the original price of the game is £18

4 0
2 years ago
Read 2 more answers
Can anyone help me with 15a b c
Pie

a. The independent variable is r. The dependent variable is m.

b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.

c. I can't do it online.

7 0
3 years ago
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6
Leto [7]
<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

              P_n=P_0(1+r)^n

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

             P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313

Number of bacteria after 6 days = 2313

7 0
3 years ago
Read 2 more answers
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