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nata0808 [166]
3 years ago
11

Carnival M charges an entrance fee of $5.00 and $0.50 per ticket for rides. Carnival P charges and entrance fee of $7.00 and $0.

30 per ticket for rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same? PLEASE I WILL MARK BRAINLIEST IF ITS RIGHT
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
I think the answer is 105
Sergio039 [100]3 years ago
5 0

The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.

Assume the number of tickets to be purchased is x.

The expression for the total cost at Carnival M is:

= Entrance fee + (price of tickets x number of tickets)

= 5 + 0.50x

The expression for the total cost at Carnival P is:

= 7 + 0.30x

To find the number of tickers, equate both expressions:

5 + 0.50x = 7 + 0.30x

0.50x - 0.30x = 7 - 5

0.20x = 2

x = 2 / 0.20

= 10 tickets

10 tickets will need to be bought to both Carnivals for the cost to be the same.

<em>Find out more at brainly.com/question/15300985.</em>

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
ch4aika [34]

Answer: -258

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

Given the sequence {-8, 16, -32, 64, ... , a₇} we know the following

  • the first term (a₁) = -8
  • the common ratio (r) = -2
  • the number of terms (n) = 7

Input the information above into the Sum formula:

S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_7=\dfrac{-8(1-(-2)^7)}{1-(-2)}\\\\.\quad =\dfrac{-8(1-(-128))}{1+3}\\\\.\quad =\dfrac{-8(129)}{4}\\\\.\quad =-2(129)\\\\.\quad =-258

3 0
4 years ago
Read 2 more answers
Find the measure of &lt;C in the following figure: ​
Yuki888 [10]

Answer:

angle C =160 degree

Step-by-step explanation:

since the given triangle is an isosceles triangle their base angles must be equal. So,

x - 10 =x/2

2(x - 10) =x

2x - 20 = x

2x - x = 20

x = 20

for angle B

x - 10

20 - 10

10 degree

for angle A

x/2

20/2

10

For angle c

angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)

10 + 10 + angle C =180

20 + angle C =180

angle C =180 - 20

angle C =160 degree

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3 years ago
ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

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