MATHEMATICS HIGH SCHOOL

Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?

Answers

Answer 1
Answer:

Answer:

1 : 27

Step-by-step explanation:

Radius of sphere one = r₁ = x units

Radius of sphere 2 = r₂ = 3*x = 3x units

Ratio of area of two sphere's = r₁³ : r₂³

                                                = x³ : (3x)³

                                                = (x^(3))/(3^(3)*x^(3))\n\n= (1)/(3^(3))\n\n= (1)/(27)

                                                 = 1 : 27

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Help me solve ;;;;; FCC Solving equations

Variable c is 5 more than variablea. Variable c is also 3 less than variable
a. Which pair of equations best models the relationship between c and a?

c = a − 5
c = a + 3

a = c + 5
a = 3c − 3

a = c − 5
a = 3c + 3

c = a + 5
c = a − 3

Answers

The pair of equations best models the relationship between c and a is option D :  c = a + 5,  c = a - 3

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given conditions are;

c is 5 more than variable a.

( c = a + 5)

c is also three less than variable a.

(c = a - 3)

Now, lets look at the answer choices,

c = a − 5

c = a + 3

Here, c is 5 less than "a". so it will be automatically disqualified.

a = c + 5

a = 3c − 3

So,

Simplified version :

c = a - 5

Here, c is 5 less than "a"..so it will be automatically disqualified.

a = c − 5

a = 3c + 3

Here also, we have to get "c" by itself in both top and bottom equation.

So,

Simplified version:

c = a + 5

Here, c is 5 more than "a"

c = (a - 3) / 3

thus, c is 3 less than "a" divided by 3 . So, this is not correct.

c = a + 5

c = a − 3

Here, c is 5 more than "A"

Also, c is 3 less than "a"

So, Which satisfies the given.

So, our answer is going to be the option D :

c = a + 5

c = a - 3

Learn more about equations here;

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First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" divided by 3 . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
 c = a + 5
 c = a - 3

Please help Me! I need to find the slope of this line!

Answers

Answer:

1/3

Step-by-step explanation

Find the ratio of two points, change in y over change in x.

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'?A)
1
676

B)
2
13

C)
2
26

D)
3
26

Answers

The probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that you have 26 cards, each labelled with a letter of the alphabet.

The probability of drawing a card that contains one of the letters in the word 'MATH' is calculated as:-

Probability = Number of favourable outcomes / Number of samples

Probability = 4 / 26

Probability = 2 / 13

Therefore, the probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

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B) 2 13 because there are 4 letters in the word "math" meaning 4 probabilities af drawing one of those cards. 4/26 is simplified to 2/13

I need to show my work but I don’t know how to do these can someone help me??

Answers

Use cymath.com it shows the steps to copy

For the school recycling project, the seventh grade collected sixteen more than five times as many cans as the eighth grade. The seventh grade collected 251 cans. Select all of the equations that can be used to find the number of cans, c, the eighth grade collected.5c=251−16

5c=251+16

5c+16c=251

5c+16=251
which one?

Answers

251-16=235

235/5=47

so a

Answer:don't know like if you want

Step-by-step explanation: H I H I H I H I

What number needs to be added to both sides of the equation in order to complete the square?

Answers

To complete the square for the equation X^2 + 16X + __ = 18 + __, we need to add 64 to both sides to get the equation X^2 + 16X + 64 = 18 + 64.

To complete the square for the given quadratic equation, we need to add a specific value to both sides of the equation. That specific value is the square of half the coefficient of the X term. In this case, the X term's coefficient is 16, so we need to take half of 16 (which is 8) and square it (which is 64).

So, the number to be added to both sides of the equation is 64.

The completed square equation then becomes: X^2 + 16X + 64 = 18 + 64.

Learn more about Completing the square here:

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The probable question may be:

What number needs to be added to both sides of the equation in order to complete the square?

X^2+16X+____=18+___

Answer:

16

Step-by-step explanation:

Given x^2 + 16x = 18.  Complete the square:

Take half of the coefficient of x (in other words, take half of 16) and square the result:  we get 8^2 = 64.

Add 64, and then subtract 64 from x^2 + 16x   + 64                         = 18 + 64

Then (x + 8)^2  = 82.  From this point on it's easy to find the roots, but we were not asked to do so.  

The desired number is 64; note that it is (16/2)^2.
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