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Oksanka [162]
3 years ago
15

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for eac

h age group. Let c represent the number of children, a represent the number of adults, and s represent the number of senior citizens. The system represents the cost of each type of ticket and the total cost of the tickets for all three exhibits. What are the numbers of children, adults, and seniors that attended these three exhibits?
Mathematics
1 answer:
anastassius [24]3 years ago
6 0

Answer:

c = 100, a = 50, s = 20

Step-by-step explanation:

following information is missing from the question

6c + 7a + 2s = 990

3c + 3a + 4s = 430

2c + 4a + 4s = 480

If you solve the equation by putting in the values given in the option you will deduce that only option d matches LHS to the RHS

Lets see how,

6c + 7a + 2s = 990                

where, c = 100, a = 50, s = 20

6(100) + 7(50) + 2(20) = 990

600 + 750 + 40 = 990

990 = 990 hence true

2c + 4a + 4s = 480                     where, c = 100, a = 50, s = 20

2 (100) + 4 ( 50) + 4 (20)  = 480

200 + 250 + 80  =  480

See for the other option too with the same steps done above  to have a more clear understanding :)

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Simplify the expression -2x^2(4x − 3).<br> -8x3 − 6x2<br> -8x3 + 6x2<br> 8x3 − 6x2<br> 8x3 + 6x2
Digiron [165]
To simplify the expression we are going to use the distributive property of multiplication: a(b+c)=ab+ac.
We can infer from our problem that a=-2x^2, b=4x, and c=-3. So lets apply the property to simplify our expression:
-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)
(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2

We can conclude that the correct answer is <span>-8x3 + 6x2</span>
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%201%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%202%7D%7B3%7D%20" id="TexForm
Lyrx [107]

Hey there!!

Given equation :

( x - 1 ) / 4 = ( x + 2 ) / 3

First step we will need to take is to cross-multiply. In cross-multiplication, we will have t multiply the denominator with the numerator on both the sides. In this case, we will have to multiply 4 with x + 2 and 3 with x - 1.

... 4 ( x + 2 ) = 3 ( x - 1 )

... 4x + 8 = 3x - 3

Subtract 3x on both sides.

... x + 8 = -3

Subtract 8 on both sides

... x = - 11

Hope my answer helps!

6 0
3 years ago
Which inequality is equivalent to -4g&gt;24
ValentinkaMS [17]

Answer:

look at picture above please

8 0
3 years ago
rosa correctly solved 275 divided by 5.enter numbers in boxes to show the equations she could use to solve the problem
kifflom [539]

Answer:

The first step would be to look at the first two numbers (which is 27) and estimate which <u>multiple</u> of 5 is closest and <u>below</u> 27.

5*5 = 25

So once she got 25, she will need to subtract 27-25, which will give her 2. REMEMBER: 5 is the first number of the quotient.

Now, she will need to drag the last digit left of 275 (which is 5) to the remainder 2 and think what multiple of 5 will give her the answer 25.

Again, 5*5 = 25

Once again, her numbers on the quotient will be 55. That's the answer.

6 0
3 years ago
What is 238 rounded to the nesrest ten
Solnce55 [7]
238 rounded to the nearest ten would be 240 because 8 is bigger than 5. So since its bigger we move the tens place (3) a number ahead (4).

Thats how we get 238 rounded to the nearest ten would be 240. 

Hope I helped ya!! 
6 0
3 years ago
Read 2 more answers
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