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Nastasia [14]
2 years ago
11

An amphitheater charges $74 for each seat in Section A, $59 for each seat in Section B, and $28 for each lawn seat. There are th

ree times as many seats in Section B as in Section A. The revenue from selling all 13,000 seats is $503,000. Let x be the number of seats in A, y be the number of seats in B, and z be the number of lawn seats. Which system of equations represents the situation?
Mathematics
1 answer:
Ivenika [448]2 years ago
7 0

Answer:

<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>

Step-by-step explanation:

let x be the number of seats in A,

y be the number of seats in B, and

z be the number of lawn seats.

y=3x

the total number of seats is given by

(x+y+z)=13000

put y=3x

(x+3x+z)=13000

(4x+z)=13000------1

also

(4x+z)13000=503000----2

hence the systems of equation is

(4x+z)=13000------1

(4x+z)13000=503000----2

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Answer:

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Step-by-step explanation:

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2 years ago
On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

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Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

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Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
3 years ago
Triangle ABC has side lengths: AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm ΔABC ≅ ΔHJK What is the length of side HJ?
Licemer1 [7]
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