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iren2701 [21]
3 years ago
5

Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations rep

resents how much money is left in his lunch budget after x days of buying lunch?
A.
y = 5x - 190
B.
y = 190 - 5x
C.
y = 190x - 5
D.
y = 190 + 5x
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

The answer is C.

Step-by-step explanation:

Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days

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The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

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<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}

tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}

tan(∠CDE) = tan(∠BAE)

Therefore;

\dfrac{20 - x}{25} = \dfrac{x}{16}

Which gives;

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320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

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Learn more about trigonometric ratios here:

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