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Hatshy [7]
4 years ago
6

Solve the equation by completing the square.

Mathematics
1 answer:
RUDIKE [14]4 years ago
3 0
Solve the equation by completing the square.

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Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a
Kazeer [188]

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

3 0
4 years ago
Read 2 more answers
The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
gizmo_the_mogwai [7]

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

6 0
2 years ago
Elizabeth wants to ride her bicycle 28.6 miles this week. She has already ridden 19 miles. If she rides for 3 more days, write a
8090 [49]

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

9.6=3m\\\\\Rightarrow\ m=\dfrac{9.6}{3}\\\\\Rightarrow\ m=3.2\ miles

Hence, the average number of miles she would have to ride each day to meet her goal = 3.2 miles.

5 0
3 years ago
A machinist drilled a conical hole into a cube of metal as shown.
Mnenie [13.5K]

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.

7 0
3 years ago
jasmine needs 300 centimeters of fabric to make her new dress. The fabric costs $5 for each meter. How much will her fabric cost
Fed [463]

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 $\frac{5}{100}

Cost of 300 cm of fabric is $\frac{5}{100} X300

= $ 15

Hence,

The cost of 300 cm fabric is $15.

6 0
3 years ago
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