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andrew11 [14]
2 years ago
11

Tell whether the two rates form a proportion . Please help me on number 16

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0
Tell whether the two rates form a proportion . Please help me on number 16

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When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U
xxMikexx [17]
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
4 0
3 years ago
There is a geometrical relation that arc of circle is equal to the central angle.
miss Akunina [59]
The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Is the correct
6 0
3 years ago
If the Math Olympiad Club consists of 11 students, how many different teams of 3 students can be formed for competitions?
vivado [14]

Answer:

165 different teams of 3 students can be formed for competitions

Step-by-step explanation:

Combinations of m elements taken from n in n (m≥n) are called all possible groupings that can be made with the m elements so that:

  • Not all items fit
  • No matter the order
  • Elements are not repeated

That is, a combination is an arrangement of elements where the place or position they occupy within the arrangement does not matter. In a combination it is interesting to form groups and their content.

To calculate the number of combinations, the following expression is applied:

C=\frac{m!}{n!*(m-n)!}

It indicates the combinations of m objects taken from among n objects, where the term "n!" is called "factorial of n" and is the multiplication of all the numbers that go from "n" to 1.

In this case:

  • n: 3
  • m: 11

Replacing:

C=\frac{11!}{3!*(11-3)!}

Solving:

C=\frac{11!}{3!*8!}

being:

  • 3!=3*2*1=6
  • 8!=8*7*6*5*4*3*2*1=40,320
  • 11!=39,916,800

So:

C=\frac{39,916,800}{6*40,320}

C= 165

<u><em>165 different teams of 3 students can be formed for competitions</em></u>

3 0
3 years ago
Maria would like to leave a tip (D) of at least 15% of her total dinner bill (3). Which inequality could Maria use to calculate
jeyben [28]

An

Step-by-step explanation:

6 0
3 years ago
What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig
Leto [7]
<span>4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
4 0
2 years ago
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