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zavuch27 [327]
3 years ago
14

The ratio of adults to children at a concert is expected to be 2 to 5. If 200 people attend, how many are expected to be childre

n?
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

The expected number of children to attend the concert  is 143.

Step-by-step explanation:

The total guest expected to attend the concert = 200

Here, Ratio of Adults: Children = 2: 5

Let us assume the common factor in the given ratio  = m

So, the expected number of adults to attend the concert  = 2 m

Also, the expected number of children to attend the concert  = 5 m

Number of (Adults + Children) attending concert  = 200

⇒ 2 m +  5 m = 200

or, 7 m = 200

or,  m = 200 /7 = 28.57

or, m  = 28.57

Now, the expected number of children to attend  = 5 m

= 5 x 28.57 = 142.85 ≈ 143

Hence, the expected number of children to attend the concert  is 143.

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Answer:

45 square units.

Step-by-step explanation:

Applying the pythagoras theorem:

Base of the bigger triangle = \sqrt{15^2 - 9^2} = \sqrt{144} = 12 units

Area of a triangle is given by \frac{1}{2} × base × height

The area of the bigger triangle is  \frac{1}{2} × 12 × 9 = 54 square units.

The area of the smallest triangle is  \frac{1}{2} × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.

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3 years ago
After being exposed to electro magnetic shrinking machine Joe’s height decrease by 120 cm over 1.5 seconds is high decrease by t
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Step-by-step explanation:

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3 years ago
I dont get it plzzz help me
cricket20 [7]

Given Equation: \frac{1}{3}h-4(\frac{2}{3}h-3)=\frac{2}{3}h-6

Let us remove parenthesis first.

In order to remove parenthesis, we need to distribute -4 over parenthesis (2/3 h -3).

Distributing -4 over (2/3 h -3), we get,

-4*2/3 h - 4*-3 = -8/3 h + 12.

Substituting this value in original equation, we get

\frac{1}{3}h-\frac{8}{3}h+12 =\frac{2}{3}h-6

Now, in order to make the equation easy to solve, we always remove fractions. In order to remove fraction, we need to find the lowest common denominator of all terms(lcd).

The fraction terms has 3 in denominators, so we could multiply each and every term by 3 to remove 3's from denominators.

Multiplying each equation by 3, we get,

3*\frac{1}{3}h-3*\frac{8}{3}h+3*12 =3*\frac{2}{3}h-3*6

On simplfying this step, we get

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Combining like terms on left side, we get

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Dividing both sides by -9.

-9h/-9 = -54/-9

h = 6.

Therefore, final answer is h=6.


5 0
3 years ago
What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.​
Vikki [24]

Answer:<em><u> x= 4/3 but in decimal form =1.333</u></em>

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Solve  :    3x-4 = 0  

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Divide both sides of the equation by 3:

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3 years ago
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Step-by-step explanation:

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