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Arturiano [62]
3 years ago
12

A sixth-grade class went on a field trip. There were 24 chaperones and 84 students on the trip. What is the ratio of chaperones

to total people who went on the trip? *
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

Answer:

24 : 84 = 2 : 7

Step-by-step explanation:

We can simplify the ratio 24 : 84 by dividing both terms by the greatest common factor (GCF).

The GCF of 24 and 84 is 12.

Divide both terms by 12.

24 ÷ 12 = 2

84 ÷ 12 = 7

Therefore:

24 : 84 = 2 : 7

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The diagram shows a 5 cm x 5 cm x 5 cm cube.
mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

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in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths a_1, a_2, a_3, \ldots, a_n is

\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}

So the solution here is

\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm

5 0
2 years ago
Read 2 more answers
I have 18 ones,15 hundreds,15 tens,and 8 thousands.what number am i?
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If p is a polynomial show that lim x→ap(x)=p(a
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Let p(x) be a polynomial, and suppose that a is any real number. Prove that

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Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

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< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

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The answer is 322 m/s. hope this helps :)
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