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elena-14-01-66 [18.8K]
3 years ago
12

The school that Darryl goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 ad

ult tickets and 6 student tickets for a total of $165. The school took in $105 on the second day by selling 3 adult tickets and 12 student tickets. What is the price each of one adult ticket and one student ticket? Solve by elimination.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

look at picture

Step-by-step explanation:

x: adult tickets

y: student tickets

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107=(9X-115) +(4x+27)​
Cloud [144]

Answer: x=15

Step-by-step explanation:

Equation: 107=(9x-115)+(4x+27)

Step 1: 9x+4x-115+27=107

Step 2: 13x-115+27=107

Step 3: 13x-88=107

Step 4: 13x-88+88=107+88

Step 5: 13x=195

Step 6: 13x/13=195/13

x=15

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Describe the transformations of f(x) = x3 represented by g(x) = (x - 6) - 2.
devlian [24]

Answer:

Step-by-step explanation:

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Find the equation of the line containing the points (0,3) and (1,8)
Tema [17]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)

m = \frac{8-3}{1-0} = 5

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3 years ago
A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p
____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

<u>step 1:-</u>

Given sample  size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

 Population proportion of employed individuals who work at home at least once per week  P = \frac{x}{n} =\frac{41}{200} =0.205

Q=1-P= 1-0.205 = 0.705

<u>step 2:-</u>

Now  \sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }

=0.0015

<u>step 3:-</u>

<u>Confidence intervals</u>

<u>using formula</u>

(P  -  Z_∝} \sqrt{\frac{P Q}{n},} (P  +  Z_∝} \sqrt{\frac{P Q}{n},

(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887

=0.20113,0.20887[/tex]

<u>conclusion:</u>-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

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