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
Verdich [7]
3 years ago
8

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets

to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

Divide the 1st equation by 2

a + 2c = 19

Divide the 2nd equation by 3

a + c = 13.5

Subtract the 1st equation and the 2nd equation

c = 5.5

Substituting back into the 2nd equation will give:

a + 5.5 = 13.5

a = 8

Step-by-step explanation:

You might be interested in
The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard
mezya [45]

Answer:

0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches

Step-by-step explanation:

Mean trout length (μ) = 14 inches

Standard deviation (σ) = 3 inches

The z-score for any given trout length 'X' is defined as:  

z=\frac{X-\mu}{\sigma}  e interval

For a length of X =12 inches:

z=\frac{12-14}{3}\\z=-0.6667

According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.

For a length of X =18 inches:

z=\frac{18-14}{3}\\z=1.333

According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.

The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:

P(12\leq X\leq 18) = 90.88\% - 25.25\%\\P(12\leq X\leq 18) = 65.63\%

8 0
3 years ago
Decide whether or not the figures are similar. Explain why or why not.
AleksAgata [21]

Step-by-step explanation:

To tell if JKON and JKLM are similar, compare the ratios between corresponding sides.  For example:

JK / KO = 5/8

JK / KL = 5/22

The ratios aren't the same, so the shapes aren't similar.

3 0
3 years ago
Colin’s piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amo
NikAS [45]

Answer:

<em>Colin spends 1/8 of an hour practicing each song</em>

Step-by-step explanation:

Colin's piano lesson is 3/4 of an hour, long.

In that period, he practices 6 different songs, spending an equal amount of time on each one.

This means that each song gets the sixth part of the lesson duration. The fraction that expresses that amount is:

\displaystyle \frac{\frac{3}{4}}{6}=\frac{3}{24}=\frac{1}{8}

Colin spends 1/8 of an hour practicing each song

5 0
3 years ago
Read 2 more answers
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
stepan [7]

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

\frac{8}{x}=\frac{3}{15}

''x'' represents the number of passes in 15 games.

Solve for x;

x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40

8 0
3 years ago
A quadrilateral has vertices (2, 0), (0, –2), (–2, 4), and (–4, 2). Which special quadrilateral is formed by connecting the midp
HACTEHA [7]
In order to know what the polygon is, you have to plot the coordinates. After plotting, it is obviously shown a form of a rectangle. After connecting the midpoints of the sides, it formed a (D) rhombus, not a kite.
8 0
3 years ago
Other questions:
  • What’s the probability of a C or a Z
    7·1 answer
  • Please someone help me
    6·2 answers
  • Hi, I am taking a test and really need help...... This is worth 19 points please help!!!
    11·2 answers
  • How long would it take to travel 425 m at the rate of 50 m/sm/s ?
    14·2 answers
  • Wendy bought a wallet for $16.99, a key case for $10.95, and a duffle bag for $15.99. Including a sales tax of 5%, what was the
    11·2 answers
  • What is the equation of the line that passes through the points (−2, 1) and (1, 10)?
    12·1 answer
  • 8. You find the probability P(A or B) by using the equation PA or B) = P(A) + P(B) - P(A and B).
    5·1 answer
  • Which could be the first step in simplifying this expression? Check all that apply.
    15·1 answer
  • Given m||n, find the value of (x+12) 4x-7)°
    6·1 answer
  • A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!