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Leokris [45]
3 years ago
15

At the circus, 3 adult tickets and 4 child tickets cost $47, and 6 adult tickets and 2 child tickets cost $64. Which system of l

inear equations below can be used to determine the price of each ticket? Let x represent the cost of an adult ticket and y represent the cost of a child ticket. A. B. C. D.
Mathematics
1 answer:
Artemon [7]3 years ago
8 0

Answer:

The adult tickets cost $9 each. The child tickets cost $5 each.

X = $9 and Y = $5

Step-by-step explanation:

$9 x 6 = $54

$5 x 2 = $10

Add them and you get $64.

For the first one, do the same.

$9 x 3 = $27

$5 x 4 = $20

Add them and you get $47

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This is my question​
Talja [164]

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

\frac{DE}{AB} = \frac{DC}{AC}

\frac{4}{3} = \frac{x + 3}{x + 1}

Solve for x

4(x + 1) = 3(x + 3)

4x + 4 = 3x + 9

4x + 4 - 4 = 3x + 9 - 4

4x = 3x + 5

4x - 3x = 3x + 5 - 3x

x = 5

Use the value of x to find AC and DC

AC = x + 1 = 5 + 1 = 6

DC = x + 3 = 5 + 3 = 8

4 0
3 years ago
What does the constant of variation mean?
Ostrovityanka [42]

Answer:

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

Step-by-step explanation:

3 0
3 years ago
4.2 in a whole number
Alexxandr [17]

Answer: 4

Step-by-step explanation:

In the number line, 4.2 is between 4 and 5 but it is closer to 4. The answer is that 4.2 round to 4.

6 0
3 years ago
Help with how to do these step by step?
zimovet [89]
Okay, so slope intercept form is y=mx+b. Like a normal problem with numbers, you add or subtract from each side. 
3x-2y= -16
you want to leave the y by itsself, so your going to add 3x to 16, but write it out how the formula is (y=mx+b). now, you should have -2y= -3x-16. (the three is now negative because you moved it to the other side of the equation.) 

now, remember that you want the y all by itself, so, all you have to do now is divide. 
-2y= -3x-16 ---------- now is y= -3/-2x minus 16/-2. (those are now fractions, but the y is alone.) now you simplify. 
-3/-2x is already simplified, but 16/-2 is not so it changes into -8,after dividing the fraction. 
now you have the answer. 
y= -3/2x-8x (it is the same as the formula now!)

hope this helps! it was hard to explain through typing but if you read it carefully, i explained every step. 
6 0
3 years ago
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
Sergeeva-Olga [200]

Answer:

The slope also increases

Step-by-step explanation:

The slope of a function is the ratio of change in y to change in x. For an exponential function f(x) = e^x, the slope of the function is equal to the function, i.e slope = e^x.

For a function represented by y=2^x, this is an exponential function representing growth, the slope of  y=2^x is also  2^x, therefore as the value of x increases, the value of the slope also increases.

At x = 1, slope = 2^1 = 2, At x = 4, slope = 2^4 = 16.

6 0
3 years ago
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