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3 years ago

Express 10500 in terms of its prime factors

Mathematics

1 answer:

8_murik_8 [283]3 years ago

7 0

Step-by-step explanation:

$10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7$

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If students sit 4 per row on a rollercoaster, 6 students are left without a seat.

dlinn [17]

An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of columns in the rollercoaster be represented by x.

If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,

Total number of students = 4x + 6

If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,

Total number of students = 6(x-3)

The total number of students can be written as,

4x + 6 = 6(x - 3)

4x + 6 = 6x - 18

2x = 24

x = 12

Now, the total number of students in the class are,

4x + 6 = 4(12) + 6 = 54

Hence, the total number of students are 54.

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2 years ago

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lora16 [44]

Step-by-step explanation:

3d + 4.5g <= 18.

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3 years ago

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A round trip flight from Seattle, Washington to Orlando, Florida is one of the longest flights in the continental United States.

ch4aika [34]

Time out = d/so = d/523
time back = d/sb = d/415

t = time out + time back
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den301095 [7]

Answer:

∛V / (4/3π) = r

Step-by-step explanation:

V = 4/3πr³

Try to isolate r if you want to solve for it.

So divide everything that's not r from the right side in order to move it to the left side of the equation.

V / (4/3π) = r³

Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.

∛(V/(4/3π)) = r

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3 years ago

A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length

lina2011 [118]

The area of a rectangle is A=LW, the area of a square is A=S^2.

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S^2=(2S-3)(S-2) perform indicated multiplication on right side

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S^2=2S^2-7S+6 subtract S^2 from both sides

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S^2-S-6S+6=0

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W=S-2 and L=2S-3 given that S=6 in

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So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.

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3 years ago

Express 10500 in terms of its prime factors​

Express 10500 in terms of its prime factors