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solmaris
8 days ago
7

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T

he amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
Mathematics
2 answers:
Svet_ta [4.3K]8 days ago
6 0

Answer:

The total number of small vehicles washed was 60.

Step-by-step explanation:

The soccer team generated $800 by charging $5 for small vehicles and $10 for large ones.

This amount is represented by the equation

5x + 10y = 800

where x = Number of small vehicles

y = Number of large vehicles

Assuming y = 5, we are to find how many small vehicles were washed.

Substituting y = 50 into the equation gives us:

5x + 10(50) = 800

5x + 500 = 800

5x = 800 - 500

5x = 300

x = \frac{300}{5}

x equals 60

Thus, the total number of small vehicles washed is 60.

Svet_ta [4.3K]8 days ago
3 0
Insert 50 for y and solve for x.

5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
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3 days ago
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Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
lawyer [4039]

Answer:

6.75g

Step-by-step explanation:

The initial step is to convert all values to grams using rules of three, followed by summation.

In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.

In direct relationships, as one measure increases, so does the other.

In inverse relationships, as one measure increases, the other decreases.

Problems involving unit conversion, like this, illustrate a direct relationship between measures.

First step: convert 0.0025kg to grams

One kilogram equals 1000 grams, so:

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x = 1000*0.0025 = 2.5g

Thus, 0.0025kg is equal to 2.5g

Second step: handle 1750 mg

One gram consists of 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

Therefore, 1750 mg converts to 1.75g

2.25g is fine

Third step: convert 825,000 μg to grams

One gram consists of 1,000,000 micrograms, so:

1g - 1,000,000 μg

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x = \frac{825,000}{1,000,000}

x = 0.25g

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6 days ago
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Greetings!

Let's rewrite the equation:
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--------------------------sum
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