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guajiro [1.7K]
3 years ago
10

Jans account balance is $2800. She pays $750 for rent. Jan wants to go on vacation but she wants to keep a balance of at least $

500 in her account for the trip. Write and solve an inequality describing how much she can spend and still meet these conditions.
Mathematics
2 answers:
joja [24]3 years ago
7 0

Answer:

Step-by-step explanation:

$2800 - $750 = $2050

$2050 - $500 = $1550

$750 rent

$500 vacation savings

$1500 spending money

Virty [35]3 years ago
7 0
2800 - 750 = 2050

2050 > 500
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D) 54 cm

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We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is \frac{2}{3} of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, R is \frac{2}{3} of the distance from U to V, since the latter is the midpoint of the side opposite to U. We know this because R belongs to UV, so R must be QS's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

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Substituting VR = 18 into the equation gives us:

18=\frac{1}{3} UV

Solving for UV, we get:

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54=UV (Simplify)

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