Answer:
There were 30 children and 10 adults.
Step-by-step explanation:
Since they sold tickets to adults and childrens, the sum of those tickets must be equal to the total tickets that were sold, so we can mount our first equation as shown below:
adult + children = 40
Each adult ticket costs $9 and each children costs $5 and the total recieved was $240, therefore:
9*adult + 5*children = 240
We can mount the following equation system:
adult + children = 40
9*adult + 5*children = 240
We will multiply the first equation by -5 and sum both equations:
-5*adult -5*children = -200
9*adult + 5*children = 240
4*adult = 40
adult = 40 / 4
adult = 10
adult + children = 40
children = 40 - adult = 40 - 10 = 30
There were 30 children and 10 adults.
Answer:
If A and B are vertical angles, then they are congruent, so their measures are equal.
This means
(5x + 5)º = (4x + 29)º
5x + 5 = 4x + 29
x = 24
Then angle A has measure (5*24 + 5)º = 125º.
Step-by-step explanation:
Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
Answer: -5/4
Step-by-step explanation:
Apply the fraction rule: a/-b = -a/b
-5/6/2/3
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Divide fractions: a/b/c/d = a x d/ b x c
-5 x 3 / 6 x 2
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Multiply the numbers: 6 x 2 = 12
-5 x 3 / 12
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Multiply the numbers: 5 x 3 = 15
-15/12
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Cancel the common factor.3
-5/4
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Sorry if this is a little confusing but your answer to the question is ( -5/4 )
The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
- <em>The equation for f(l) is: </em>
<em>.</em> - <em>The desired length and width are 8m and 4m</em>
<em />
Given that:
Divide both sides by 2
<u>Equation of f(l)</u>
The sum of the length and the width is represented as: f(l).
So, we have:
Substitute
See attachment for the graph of f(l)
<u>The desired dimension</u>
From the question, we understand that the total length is 12m.
This means that:
So, we have:
Divide both sides by 1.5
Recall that:
Hence, the desired length and width are 8m and 4m, respectively.
Read more about linear equations at:
brainly.com/question/2263981
