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guajiro [1.7K]
3 years ago
6

The admission fee at a small fair is $2.00 for children and $4.00 for adults on a certain day 30 people enter the fair and $100

is collected collected how many children and how many adults attended and justify higher and how you know your response make sure to label your variables and state your solution in a complete sentence
Mathematics
2 answers:
Troyanec [42]3 years ago
5 0

Answer:

20 adults and 10 children

Step-by-step explanation:

We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.

prohojiy [21]3 years ago
4 0

Answer:

10 children  20 adults

Step-by-step explanation:

children = c

adult = 2c (double than children)

2(c) + 4(2c) = 100

10c = 100

c = 10     10 children

30-10 = 20   20 adults

$2(10) = $20

$4(20) = $80

$20+$80 = $100

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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
3 years ago
The ratio of sixth graders to seventh graders at the school dance is 2 to 3.
Inessa [10]

Answer:

18

Step-by-step explanation:

2:3 x 9

18:27

18 + 27 = 45

6 0
3 years ago
Arrange these numbers in order from least to greatest 0.1, 1, -1,
LenaWriter [7]

Answer:

-1, 0.1, 1

•••••••••••••

3 0
3 years ago
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Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water in
nadezda [96]

Answer:

11/4 seconds

Step-by-step explanation:

We can see from the given equation that the height at the diving board is h = 3.

This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.

To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.

h(t) = 3

h(t) = -4t^2 + 11t + 3 = 3

-4t^2 + 11t + 3 - 3 = 0

-4t^2 + 11t = 0

t*(-4t + 11) = 0

so h(t) = 3 when t = 0 and when t = 11/4 sec

we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.

the diver is back at the height of the diving board at t = 11/4 sec

6 0
2 years ago
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Rob was tasked to graph this system of equations:
Mars2501 [29]

Answer:

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Step-by-step explanation:

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