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guapka [62]
3 years ago
15

A family of 4 spent $104 for tickets to a concert on Friday and they spent $140 for tickets to a dinner theater on Saturday. All

of the tickets were the same price each day. What was the cost of each ticket on Friday and Saturday?
Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

  • Friday's tickets: $26 each
  • Saturday's tickets: $35 each

Step-by-step explanation:

We presume that 4 tickets were bought each day, so the price of 1 ticket is 1/4 of the total price:

  (1/4)($104) = $26

  (1/4)($140) = $35

The cost of each ticket on Friday was $26; on Saturday, the cost was $35.

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What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
nataly862011 [7]

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

  • Hope this helps
  • Brainliest plz
  • and have a wonderful day
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John solved a division problem by subtracting and keeping track as shown. Identify the problem he solved.​
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Picture of the problem? I can't solve without

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A rectangular tank has a base that is 10 centimeters by 5 centimeters and a height of 20 centimeters. If the tank is half full o
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the answer will be 6.5 cm the water will rise

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a student has some $1 bills and $5 bills in his wallet. he has a total of 15 bills that are worth $47. How many of each type of
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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

5 0
3 years ago
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