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gregori [183]
2 years ago
5

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

nks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink and a large popcorn?

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

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Simplify the exponential expression.
olga_2 [115]

The solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

E =  (v²)(m⁴)/(v²)(m³)

Divide v² by the same term v².

E = (m⁴)/(m³)

E = m

Therefore, the solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.

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8 0
2 years ago
Start time 11:00 am Elapsed time 4 hr and 5 min
vivado [14]
Well, if it starts on 11:00 am, add 4 hours = 3:00 + 5 min = end time = 3:05 am.
Hopes this helps ;)
8 0
3 years ago
Read 2 more answers
The perimeter of a circle is 132 cm calculate its radius and area ​
son4ous [18]

Answer:

r≈21.01cm

Step-by-step explanation:

I think that's the exact answer

4 0
3 years ago
I don't understand this plz help explain how to do it
podryga [215]

Answer:

1. U. 190

2.U. 155

3. U. 240

Step-by-step explanation:

Explanation: To find an angle of a triangle we add the angles we know about

EXAMPLE: 50 + 120. We need to find the third angle.

We know that Angles of triangles should add up to 360

So to find the third angle we add the angle we know about.

EXAMPLE: 50 + 120 = 170 then we Subtract the sum of a triangle *360*

EXAMPLE: 50 + 120 = 170

EXAMPLE: 170 - 360

EXAMPLE: = 190

That's how we find a third angle!

If this doesn't clarify how do to it enough just let me know and i can try to explain more in detail!

Hope this helps you!!!

Have a nice day!

6 0
3 years ago
Help! Check answer? My answer x=80
GuDViN [60]
The is the correct answer x=80
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3 years ago
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