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AlladinOne [14]
3 years ago
5

A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each a

nd the total cost for 10 people was 62.how much children were in the group
Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

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What is the inequality for 14-3x<-1
Maksim231197 [3]

Answer:

x > 5

Step-by-step explanation:

14 - 3x < -1

-3x < -15

x > 5

5 0
3 years ago
Which statement are true of functions? (All that applies)
vitfil [10]

A and B and E.And sorry if I get it wrong.

6 0
3 years ago
20 POINTS PLEASE ANSWER<br> Use the relationships between the angles to find the value of x
WARRIOR [948]

Answer:

x = 25 degrees

Step-by-step explanation:

So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.

Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.

We can write this information as the equation:

4x + (2x + 10) + (x - 5) = 180

We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).

Solve for x:

4x + (2x + 10) + (x - 5) = 180

4x + 2x + 10 + x - 5 = 180

Combine like terms.

7x + 5 = 180

Subtract 5 from both sides to get rid of the +5 on the left side.

7x = 180 - 5

Simplify.

7x = 175

Divide both sides by 7 to get rid of the coefficient of 7 on the left side.

x = 175 ÷ 7

Simplify.

x = 25.

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x = 25 degrees

I hope you find this helpful. :)

4 0
3 years ago
The graph below shows the average Valentine’s Day spending between 2003 and 2012
Lapatulllka [165]
The average rate of change of a graph between two intervals is given by the difference in value of the values on the graph of the two interval divided by the difference between the two intervals.

Part A.

From the graph the average Valentine's day spending in 2005 is 98 while the average Valentine's day spending in 2007 is 120.

The average rate of change in spending between 2005 and 2007 is given by

\frac{120-98}{2007-2005} = \frac{22}{2} =\$11/year



Part B

From the graph the average Valentine's day spending in 2004 is 100 while the average Valentine's day spending in 2010 is 103.

The average rate of change in spending between 2004 and 2010 is given by

\frac{103-100}{2010-2004} = \frac{3}{6} =\$0.5/year



Part C:

From the graph the average Valentine's day spending in 2009 is 102 while the average Valentine's day spending in 2010 is 103.

The average rate of change in spending between 2009 and 2010 is given by

\frac{103-102}{2010-2009} = \$1/year

7 0
3 years ago
An online survey company wants to know if customer age is important in deciding to subscribe. The company has gathered a random
aleksley [76]

Answer:

service subscription and age are not independent

Step-by-step explanation:

The appropriate statistical test to adopt for the above problem is the Chisquare test.

The hypothesis :

H0 : service subscription and age are independent

H1 : service subscription and age are not independent

Observed values :

Under 18 18-34 35 and Over Total

Yes__ 120 __262 __237__ 619

No___ 41 ___103 __237 __381

Total 161 365 574 1000

χ² = (Observed - Expected)²/Expected

Expected Values:

99.659 __ 225.935 __ 293.406

61.341 ___ 139.065 __ 180.594

The Chisquare values :

4.15172__ 5.7569__ 10.8438

6.74518_ 9.35307 __ 17.6176

χ² = 4.15172 + 5.7569 + 10.8438 + 6.74518 + 9.35307 + 17.6176 = 54.46827

Degree of freedom = (row-1)*(column-1) = (2-1)*(3-1) = 1*2 = 2

Pvalue at df = 2 ; Pvalue = 0

α = 0.05

Pvalue < Α ; Hence, we reject H0 ; and conclude that service subscription and age are not independent

3 0
3 years ago
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