1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonja [21]
3 years ago
14

she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets

and 4 childrens tickets totaling $130. write an equation for each day and use the elimination method
Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

Cost of adult ticket = $12.5

Cost of child ticket = $7.5

Step-by-step explanation:

Given:

Cost of 6 adult ticket and 5 child ticket = $112.5

Cost of 8 adult ticket and 4 child ticket = $130

Find:

Equation and solution

Computation:

Assume;

Cost of adult ticket = a

Cost of child ticket = b

So,

6a + 5b = 112.5....eq1

8a + 4b = 130 ......eq2

Eq2 x 1.25

10a + 5b = 162.5 .....eq3

eq3 - eq1

4a  = 50

Cost of adult ticket = $12.5

8a + 4b = 130

8(12.5) + 4b = 130

Cost of child ticket = $7.5

You might be interested in
The reacttimes data set has 50 observations of human reaction times to a physical stimulus. The reaction times are named times a
scoundrel [369]

Solution: The formula for mean is:

Mean=\frac{\sum x}{n}

Where:

\sum x is the sum of given observations

n is the number of observations

\sum x=87.12

n=50

\therefore Mean =\frac{87.12}{50}= 1.74 rounded to two decimal places

To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.

Therefore, the median is:

Median=\left(\frac{n+1}{2} \right)^{th} item

                  =\left(\frac{51}{2} \right)^{th} item

                  =25.5^{th} item

                  =1.52+0.5(1.54-1.52)

                  =1.52+0.01

                  =1.53

Therefore, the median = 1.53

4 0
3 years ago
PLEASE PLEASE HELP!!!!
kow [346]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
It is recommended to use a Poisson process to model the number of failures in commercial water
OverLord2011 [107]
A research paper recommends using Poisson process to model the number of failures in commercial water pipes The paper also gives estimates the failure rate in units of failures per 100 miles of pipe per day; for four different types of pipe and for many different years_ For example, for cast iron pipe in 2005, the authors' estimate is the failure rate is 0.0864 failures per 100 miles per day: Suppose a town had 2500 miles of cast iron pipe underground in 2005 What is the probability of at least two failures
7 0
3 years ago
Solve for x.<br><br> X = ____?
I am Lyosha [343]
Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x

8 0
3 years ago
Other questions:
  • The red figure is the transformed image of the blue figure. Gloria correctly identifies a single transformation that can move th
    5·1 answer
  • 2x + y = 7<br> -x + y = 1
    12·2 answers
  • Write the equation of the circle. A with a center A(-4,-3) and radius 5
    11·1 answer
  • Help pls??????????????????????????????????????????????????????????
    14·1 answer
  • Express 17.1 6 as a mixed number in lowest terms
    11·1 answer
  • Write an equation for a line that is parallel to the graph of y=-3x+6 and passes through the point at (-4,7)
    10·1 answer
  • Mathematical connections
    5·1 answer
  • Please help! I really need help I have more questions that I'll post after​
    10·2 answers
  • Plsssss HELPPPPPPPPPPPPPPPPPPPPP
    14·1 answer
  • For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!