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Ivahew [28]
3 years ago
9

1 The San Diego Safari Park charges $18 for parking, plus an admission fee of $56. This can be represented by the equation c = 5

6p + 18, where c is the total cost and p is the number of people. Determine whether there is a proportional relationship between c and p.
Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer: No

Step-by-step explanation:

Given: The San Diego Safari Park charges $18 for parking, and an admission fee of $56.

This can be represented by the equation c = 56p + 18, where c is the total cost and p is the number of people.

Equation of direct proportion: k=\dfrac{y}x

But here we have a y-intercept as 18.

So, we cannot say there is a proportional relation ship between c and p.

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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two students in t
melomori [17]

Answer:

The system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be'x'.

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = 5+5x

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = 6x

Hence the system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

5+5x=6x

On solving we get;

Combining like terms we get;

6x-5x=5\\\\x=5\ mins

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of x=5 in the system of equations.

so we get;

number of flash cards made by Tristan = 5x+5 = 5\times5+5=25+5=30

number of flash cards made by Josh = 6x =6\times 5 =30

Hence In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

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Step-by-step explanation:

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Answer:

x = -75

Step-by-step explanation:

x/-5=15

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What is the volume of the sphere?
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The volume of the sphere in the given image, to the nearest tenth, is: 2,143.6 cm³.

<h3>How to calculate the Volume of a Sphere?</h3>

A sphere is a solid shape that is round. The volume of a sphere is the amount of space it contains, which is calculated by the formula expressed as:

Volume = 4/3 × π × r³, where r is the radius of the sphere.

The parameter of the sphere is given below:

Radius of the sphere (r) = 8 cm.

π = 3.14

Substitute r = 8 into 4/3 × π × r³ to find the volume of the sphere

Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 8³

Volume of the sphere = 4/3 × 3.14 × 512

Volume of the sphere = (4 × 3.14 × 512)/3

Volume of the sphere = (6,430.72)/3

Volume of the sphere = 2,143.6 cm³

In summary, the volume of the sphere in the given image, to the nearest tenth, is: 2,143.6 cm³.

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