The approximate average number of people per square mile in Australia is approximately 8.47.
Explanation:To find the approximate average number of people per square mile in Australia, we can divide the total population of Australia by the area in square miles. According to the Australian Bureau of Statistics, the population of Australia is approximately 25 million. To calculate the average number of people per square mile, we can divide 25 million by 2.95 x 10^6:
Average number of people per square mile = 25,000,000 / 2.95 x 10^6
Simplifying this expression, we get:
Average number of people per square mile ≈ 8.47
Therefore, the approximate average number of people per square mile in Australia is approximately 8.47.
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Jennifer can paddle a certain distance with the current in 2.5 hr. To cover the same distance against the current, she takes 5 hr. How many times faster is her rate of paddling in still water than the speed of the current?
The rate of paddling in still water is 3 times than the speed of the current.
What is Speed?
The formula for the speed is calculated as;
Speed = Distance / Time
Given that;
Jennifer can paddle a certain distance with the current in 2.5 hr.
And, To cover the same distance against the current, she takes 5 hr.
Let distance be D , speed is S and the current speed will be C.
The we can formulate two conditions as;
(S + C) × 2.5 = D .... (I)
And, (S - C) × 5 = D .... (II)
Solve equation (i) and (ii) we get;
S = 3C
Thus, we can say that;
The rate of paddling in still water is 3 times than the speed of the current.
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If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam
Plot the x- and y-intercepts to graph the equation. y=1/3x−1.
Answer:
The graph of given equation is shown below.
x-intercept is 3 and y-intercept is -1.
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{1}{3}x-1[/tex]
We need to draw the graph of given equation.
At x=0,
[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]
So, y-intercept is -1.
Equate f(x)=0 to find x-intercept.
[tex]\frac{1}{3}x-1=0[/tex]
[tex]\frac{1}{3}x=1[/tex]
Multiply both sides by 3.
[tex]x=3[/tex]
So, x-intercept of the line is 3.
Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.
Most of the energy on Earth comes from A. Chemicals B. The sun C. Photosynthesis D. Carbohydrates
What are the answers to 1 5 3 and 6 really aprreciate it!
A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?
An architect is designing a new windmill with four sails. In his sketch the sails center of rotation is the origin (0,0) and the top of one sails point T, has a coordinates (6,-2). He wants to make another sketch that shows the windmill after sails have rotated 180* degrees about their center of rotation. What would be the coordinates of T?
The coordinates of T are (-6,2).
The sails center of rotation is the origin (0,0)
The top of one sails point T(6,2).
What is the rotation?The action or process of rotating on or as if on an axis or center.
A 180 degree rotation make you turn (x, y) into (-x, -y),
so the point turn (6, -2), into (-6, 2).
Therefore the coordinates of T are (-6,2).
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A box of crackers costs 0.26 .if the box contains 10 ounces , what is the cost of the box of crackers
Tabitha's hiking distance in july was 2 1/6 She write the distance as 2/16 miles. What error did she make?
sir wash his cars at the carwash she makes $8 25 per hour and $30 in tips per day give an expression that Sarah could use to calculate her daily earnings A$8 25x + $30 B $8 25 + $30 C $8 25 - $30 D $8.25 + $30x
x = hours worked so her hourly pay would be 8.25x
then you add 30 in tips
so it would be 8.25x+30
Answer is A
The figure below shows a shaded rectangular region inside a large rectangle:
A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 6 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.
What is the probability that a point chosen inside the large rectangle is not in the shaded region?
Answers:
18%
36%
42%
64%
Answer:
64
Step-by-step explanation:
A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk
PLEASE HELP ASAP!
Which of the following does not represent a function?
the first one on the left is A and the last one on the right is D
of the 460 visitors on saturday 54/100 of them stayed until the park closed about how many visitors stayed the park closed?
10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?
Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution. How many liters of 25% solution did she use? 8 liters 12 liters 13.7 liters 37 liters
16 liters x 0.78 = 12.48 liters
0.25x +12.48 = 0.41(16+x)
0.25x+12.48 = 6.56 +0.41x
5.92 = 0.16x
x = 5.92/0.16 = 37 liters
56/x^2-2x-15 - 6/x+3 = 7/x-5
Given: {An}=nn+1
Compute a3
the diameter of a u.s penny is 3/4 inch.how many pennies would it take to make a row 42 inches long
how many bracelets can she make in 3.5 hours
Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.
A pitcher holds 8 and one half cups of orange juice and I pour all of the juice evenly into six different glasses. How many cups of juice will there be in each glass?
At
6:00 A.M. the temperature was 33°F. By noon the temperature had
increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at
10:00 P.M. the temperature had decreased by 15°F, how much does the
temperature need to rise or fall to return to the original temperature
of 33°F?
A)
Fall 7°F
B)
Rise 7°F
C)
Fall 3°F
D)
Rise 3°F
What is the slope of the line passing through the points (-1,3) and (4,-7)?
A. 2
B. -2
C. 3/4
D. - 4/3
Answer:
B) -2
Step-by-step explanation:
-7-3/ 4+1= -10/5 = -2
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, 3) and (4, -7). Substitute:
[tex]m=\dfrac{-7-3}{4-(-1)}=\dfrac{-10}{5}=\boxed{-2}\to\boxed{B.}[/tex]
jacob bought some tickets to see his favorite singer. He bought some adult tickets and some children's tickets, for a total of 9 tickets. The adult tickets cost $10 per ticket, and the children's tickets cost $8 per ticket. If he spent a total of $76, then how many adult and children's tickets did he buy ?
Final answer:
Jacob bought 2 adult tickets and 7 children's tickets to see his favorite singer, spending a total of $76 for 9 tickets with adult tickets costing $10 each and children's tickets $8 each.
Explanation:
Jacob bought a total of 9 tickets, consisting of adult tickets and children's tickets. Adult tickets cost $10 each while children's tickets cost $8 each, and Jacob spent a total of $76 on tickets. To find out the number of adult and children's tickets he bought, we can set up a system of equations:
Let the number of adult tickets be represented by a and the number of children's tickets be represented by c. We are given two pieces of information:
Jacob bought 9 tickets in total: a + c = 9The total amount spent was $76: 10a + 8c = 76We can solve the system of equations by substitution or elimination. If we rearrange the first equation (a + c = 9) to get a = 9 - c, we can substitute this into the second equation 10a + 8c = 76:
10(9 - c) + 8c = 7690 - 10c + 8c = 7690 - 2c = 762c = 14c = 7Now that we have the value for c, we can find a:
a = 9 - ca = 9 - 7a = 2Jacob bought 2 adult tickets and 7 children's tickets.
find y when x= 115 if y=10 when x=130
35+-20+-5 What is the answer?? Worth 10pts...
find the equation of the normal of the curve at the given points :D thankiewss
Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?
There is no net change in the amount of chicken stock in the pot.
To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.
Using a simple calculation:
Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cupsTherefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.
What is the quotient of b3+4b2-3b+126/b+7?
A. b² + 11b + 80 R276
B. b² − 11b + 38 R140
C. b² − 3b + 18 R252
D. b² − 3b + 18