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Butoxors [25]
3 years ago
9

A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ti

cket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100. If the total cost of the trip is $252.40, how many people went? 8 8 12 12 14 14 18 18
Mathematics
2 answers:
natta225 [31]3 years ago
7 0

Answer: B 12

Step-by-step explanation: its right

Natali [406]3 years ago
7 0

Answer:

12

Step-by-step explanation:

We need to assume that every kid got one order of drink and popcorn to make this answer a lot easier.

Considering we already know that the rental costs, all we need to do is find the number of kids that were there, multiplying every ticket, popcorn, and drink bought per child.

A. 8

100 + (7.00 * 8) + (2.25 * 8) + (3.45 * 8) = 201.6

This is not the final cost of $252.40, therefore it is incorrect.

B. 12

100 + (7.00 * 12) + (2.25 * 12) + (3.45 * 8) = 252.41 or 252.4

This equates to the final cost, therefore making it correct.

If 12 is the answer, then any number higher will be incorrect, cross out C. and D.

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Kevin and Randy Muise have a jar containing 80 ​coins, all of which are either quarters or nickels. The total value of the coins
SCORPION-xisa [38]

Answer:

  • 39 quarters and 41 nickels

Step-by-step explanation:

Let the number of quarters be x and nickels be y.

<u>Given:</u>

  • Quarter is 25 cents
  • Nickel is 5 cents
  • Number of coins is 80
  • Total amount is $11.80 = 1180 cents

<u>We have equations:</u>

  • x + y = 80
  • 25x + 5y = 1180

<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>

  • 25x + 5y - 5x - 5y = 1180 - 80*5
  • 20x = 780
  • x = 780/20
  • x = 39

<u>Find the value of y:</u>

  • 39 + y = 80
  • y = 80 - 39y = 41

<u>Verify:</u>

  • 25*39 + 5*41 = 975 + 205 = 1180
7 0
2 years ago
Find the value of -12.8-88.2​
OleMash [197]

Answer:

-101

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the answer of this question?​
polet [3.4K]

Answer:

116

Step-by-step explanation:

8.2 / 2 = 4.1

a = \sqrt{7^{2}-4.1^{2} } = 5.6736

0.5 x 8.2 x 5.6736 = 23.2618

23.2618 x 5 = 116.309 = 116

7 0
3 years ago
Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of ans
m_a_m_a [10]
The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).
3 0
3 years ago
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