Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
The smaller and the larger hexagons both have 6 sides
The length of each side of the larger hexagon
<h3>How to determine the length of each side of the larger hexagon</h3>
The given parameters are:
Smaller side, l = 10
Scale factor = 5 : 7
Represent the length of each side of the larger hexagon with L.
So, we have:
l : L = 5 : 7
Substitute 10 for l
10 : L = 5 : 7
Multiply the ratio by 2
10 : L = 5 *2 : 7 *2
Evaluate the product
10 : L = 10 : 14
By comparison, we have:
L = 14
Hence, the length of each side of the larger hexagon
Read more about scale factors at:
brainly.com/question/3457976
Answer: The average number of miles she would have to ride each day to meet her goal = 3.2 miles.
Step-by-step explanation:
Given: Elizabeth wants to ride her bicycle 28.6 miles this week.
She already ridden 19 miles.
Number of days she will ride more =3
Let m = average number of miles ridden in a day.
Then,
Total distance = initial distance + (m) (Number of days)
i.e. 28.6 = 19+3m (Required equation)
Subtract 19 from both sides , we get
Hence, the average number of miles she would have to ride each day to meet her goal = 3.2 miles.
Answer:
512ft³
Step-by-step explanation:
If the cube its sides of all 8 feet, then the length, width, and height is 8 feet. Then, multiply 8 by 8 you get 64 and then multiply 64 by 8 to get 512.
The cost of 300 cm fabric is $15.
Step-by-step explanation:
Given,
Cost of fabric is $5 per meter.
To find the cost of 300 cm fabric.
1 m = 100 cm
We will apply unitary method.
Cost of 100 cm of fabric is $5
Cost of 1 cm of fabric is $
Cost of 300 cm of fabric is $
= $ 15
Hence,
The cost of 300 cm fabric is $15.
