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rjkz [21]
3 years ago
14

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students i

n the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided. If 20, percent want an ice cream party, how many students are in the class?
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
So let's just say "x" is our variable that represents the total number of students in the class. We know that 5 is 20% of x. We can also understand that 0.20x = 5. So 0.20x divided by 0.20 gives us the remaining variable, x. If we do that, we also need to divided the other side by 0.20, so 5 divided by 0.20 is 25. The answer: There are 25 students in Mrs. Conley's class.


mrs_skeptik [129]3 years ago
3 0

Answer:

the answer is 25

Step-by-step explanation:


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Find the inverse of each function. Is the inverse a function? y=(x+4)³-1
tatuchka [14]

Inverse of the give function F(x) = ( x + 4 )³ - 1 is F⁻¹(x) = [√( x + 1 ) ] - 4.

Given is a function of x, F(x) = ( x + 4 )³ - 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 4 )³ - 1 becomes y = ( x + 4 )³ - 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = ( x + 4 )³ - 1, we get

x = ( y + 4 )³ - 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 4 )³ - 1

=> x + 1 = ( y + 4 )³

=>  (y + 4 )³ = x + 1

=> y + 4 = √( x + 1 )

=> y = √( x + 1 ) - 4

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y = √( x + 1 ) - 4 becomes F⁻¹(x) = √( x + 1 ) - 4

Therefore, we get the inverse of the give function F(x) = ( x + 4 )³ - 1 as F⁻¹(x) = [√( x + 1 ) ] - 4.

Learn more about Inverse of a Function here:

brainly.com/question/2541698?referrer=searchResults

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4 0
1 year ago
The sum of 15 and the product of five and V
soldi70 [24.7K]

put it into an equation..

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sum is addition and product is multiplication

4 0
3 years ago
Given the 5th term is 103 and the come differences is -6 2/3 what is the 6th term?
LekaFEV [45]

Answer:

  102 1/3

Step-by-step explanation:

To find the 6th term, add the common difference to the 5th term:

  103 + (-6 2/3) = 102 1/3

6 0
3 years ago
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sasho [114]

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

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3 years ago
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Answer:

8x + 144 < 2000

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8 8

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7 0
3 years ago
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