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Studentka2010 [4]
3 years ago
10

Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

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Rebecca moves to a large city that had two event stadiums. The larger stadium can hold 4.5 times 10^4 people, which is about 15
NNADVOKAT [17]

Answer:

3,000 people

Step-by-step explanation:

Total number of people larger stadium can hold equals 4.5 times 10^{4} people,

which equals 45,000 people.

Now,

it is given that larger stadium can hold 15 times more people than small stadium .

So, smaller stadium will hold  15 times less people than the larger stadium ,

Which equals , \frac{45000}{15} = 3,000 people.

Thus ,

Smaller stadium can hold a total of 3,000 people.

7 0
3 years ago
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
In a bakery a bag of bread rolls cost X dollars
expeople1 [14]
B•X. All u need to is b times x
7 0
3 years ago
How many numbers between 100 and 999 are divisible by 4?
QveST [7]
Try this solution:
1. Note, that 100 is divisible by 4, and 999 is not divisible by it, only 996. This is an arithmetic sequence.
2. a1;a2;a3;a4;...a(n) the sequence, where a1=100; a2=104; a3=108; a4=112; ... etc., and a(n)=996. n=?
3. using a formula for n-term of the sequence: a(n)=a1+d(n-1), where a(n)=996; a1=100 and d=4 (according to the condition ' is divisible by 4'). Then 100+4(n-1)=996; ⇒ 4n=900; ⇒ n=225 (including 100).

answer: 225
7 0
3 years ago
The table represents some points on the graph of a linear function.
lana66690 [7]
The answer is:

y= -2.5x + 4

You have to do -2.5 times the x value

Then add 4 and you should get the correct number for each y value.
3 0
2 years ago
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