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WITCHER [35]
2 years ago
14

Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and

7 child tickets for a total of $57. The school took in $63 on the second day by selling 7 adult tickets and 14 child tickets. What is the price of one adult ticket and one child ticket?
Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Answer:

both cost 3 dollars

Step-by-step explanation:

x=adult ticket

y=child ticket

12x+7y=57

7x+14y=63

24x+14y=114

-7x-14y=-63

17x=51

x=3

7(3)+14y=63

21+14y=63

14y=42

y=3

Olin [163]2 years ago
6 0

Answer:

$6

Step-by-step explanation:

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
2 years ago
Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.
Alinara [238K]

Answer:

She should have multiplied by 10,000

Step-by-step explanation:

Given table:

\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}

To find the conversion rate:

\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000

Therefore, 1 hectogram = 10,000 centigrams

So when converting hectograms to centigrams, multiply the mass by 10,000.

⇒ 50 hg × 10,000 = 500,000 centigrams

Rachel's error was that she should have multiplied by 10,000.

7 0
1 year ago
Read 2 more answers
What is the 30th term of the linear sequence below?<br><br> -5,-7,-9,-11,-13....
adelina 88 [10]

Answer:

-63

Step-by-step explanation:

This arithmetic progression

The formula is a+(n-1)d

a means the first value

n is the nth term

d is the difference

So a is -5

n is 30

d is -2

So let's substitute

-5+(30-1)-2

-5+(29)-2

-5-58

-63

Therefore the final answer is-63

Just follow the step and the general formula, you will get your final answer

3 0
3 years ago
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kkurt [141]
The answer is 223.75 because you multiply 12.5 and 17.9
5 0
3 years ago
Bill drove 715 miles in 11 hours.
Verizon [17]

Answer: It would take 7 hours.

Step-by-step explanation:

715/11 = 65

65 miles per hour

455/65 = 7

6 0
2 years ago
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