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Len [333]
3 years ago
5

The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy a membership f

or $100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify buying the membership? A) 4x = 100 + 6x B) 6x + 4x = 100 C) 6x = 100 + 4x D) 100 - 4x = 6x
Mathematics
2 answers:
shutvik [7]3 years ago
8 0
C) 6x=100+4x
This is because since you need to justify buying a membership, you would try and equal the prices between not having a membership which is 6x and having a membership which is 100+4x
Yanka [14]3 years ago
7 0

Answer:

C) 6x=100+4x

Step-by-step explanation:

Let the number of sessions be x

Let the total payment be y

Without membership, the equation becomes:

y=6x

With membership, the equation becomes:

y=100+4x

Now to justify, $100, we will equal both to get the number of sessions.

6x=100+4x

=> 2x=100

Dividing both sides by 2;

x = 50

Hence, the right equation is : 6x=100+4x

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A construction worker fills a mold with concrete. This solid figure represents the mold.
nadezda [96]

Answer:

volume = 338 x 20 = 6760 cm^3

Step-by-step explanation:

large rectangular top area = 14 x 22 = 308 cm^2

small rectangular top area = 6x5 = 30 cm^2

total top area = 308 + 30 = 338 cm^2

volume = 338 x 20 = 6760 cm^3

4 0
3 years ago
Which expression is equivalent to -6x9y<br><br> -3(2x+3y)<br> -3(2x-3y)<br> 3(2x-3y)<br> -3(2x+9)
Olegator [25]

Answer:

The expression that is equivalent to -6x+9y would be -3(2x-3y)

7 0
3 years ago
Read 2 more answers
The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller number?
Anna11 [10]
Let the two numbers be x and y

x + y = 5(x-y)
x + y = 5x -5y
6y = 4x
x= (6/4)y
x= (3/2)y

there the ratio is 3/2
4 0
4 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
Read 2 more answers
A method for determining whether a critical point is a minimum. True or false?
natita [175]

Answer:

We can find if a critical point is a local minimum or maximum by looking at the second derivatives.

Step-by-step explanation:

If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.

Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.

7 0
3 years ago
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