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aliya0001 [1]
3 years ago
8

Whatis the answer to the problem

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

slope = -\frac{1}{8}

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The m is the variable representing the slope. The x_1 and y_1 values are x and y values of one point. The x_2 and y_2  are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}

Thus, the slope is -\frac{1}{8}.

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Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and
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25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .

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

Here we have , Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride. We need to find  How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .Let's find out:

Let , Number of tickets for both carnival be x So ,

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides

Equation of cost :

⇒ 0.65(x)+5

Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride

Equation of cost :

⇒ 0.45(x)+10

Now , Number of tickets for which cost is equal is:

⇒ 5+0.65x=10+0.45x

⇒ 0.65x-0.45x=10-5

⇒ 0.2x=5

⇒ x=\frac{5}{0.2}

⇒ x=\frac{50}{2}

⇒ x=25

Therefore , 25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .

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