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Vilka [71]
2 years ago
10

A group of friends go ice skating. They purchase one group ticket to get in and then each person rents skates and buys a hot cho

colate.
It costs
$
10
to purchase a group ticket to get into the skating rink.
It costs
$
4
per person to rent skates.
It costs
$
1.75
per person for hot chocolate. ​​​​​​​
How many friends go ice skating if they spend a total of
$
38.75
?
Mathematics
1 answer:
Scilla [17]2 years ago
5 0

The number of friends that can go ice skating is 5.

<h3>What is the total number of friends that can go ice-skating?</h3>

The total amount spent = cost of the group ticket + total cost of the hot chocolate + total cost of renting the skates

$38.75 = $10 + $4x + $1.75x

Where x represents the total number of friends.

In order to determine the total number of friends, take the following steps:

Combine similar terms

$38.75 - $10 = $4x + $1.75x

Add similar terms

$28.75 = $5.75x

Divide both sides of the equation by 3.75

x = 5

To learn more about division, please check: brainly.com/question/13281206

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Step-by-step explanation:

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Solve this equation<br> 3x - 5 = -26​
Dmitry_Shevchenko [17]

3x - 5 = -26​

<u>step 1:</u>

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<u>step 2:</u>

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<u>step 3:</u>

now divide 3 on each side

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What is the distance between (-6, 2) and (8, 10) on a coordinate grid?
lawyer [7]

Answer:

The answer is 2(the square root of 65 )

Step-by-step explanation:

Plug ( -6, 2) and (8, 10) into the distance formula and solve.

Distance = the square root of ((x2 - x1)^2 + (y2 - y1)^2))

Distance = the square root of ((8 - -6)^2 + (10 - 2)^2))

Distance = the square root of (14^2 + 8^2)

Distance = the square root of (196 + 64)

Distance = the square root of 260 which can be simplified to 2(the square root of 64)

5 0
3 years ago
The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He
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Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

\theta =7.2\frac{\pi}{180}

S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles

∴ Radius of the Earth is 3978.8 Miles

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∴ Circumference of the Earth is 25000 Miles

5 0
4 years ago
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