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Sholpan [36]
2 years ago
7

The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,

400.00 is collected. How many children and how many adults attended?​
Mathematics
1 answer:
vlabodo [156]2 years ago
8 0

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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Answer:

m = 29/48

Step-by-step explanation:

Given that

x₂ = (y₂-y₁) +10 →(1

y₂ = y₁-x₁ → (2

y₁= 37

x₁ = 29

Now substitute the value of x₁ and y₁ into equation 2

y₂ = 37-29

y₂ = 8

Now substitute the value of y₂ and y₁ into equation 1

x₂ = (8-37) +10

x₂ = -19

As we know the slope (m) can be calculated as follows

m =(y₂ - y₁)/(x₂ - x₁)

m = (8- 37)/(-19 - 29)

m = (-29)/(-48)

m = 29/48

So our slope is 29/48



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3 years ago
20 - 4x = 2(4 - 8x) This needs solving
Olenka [21]

20 - 4x = 2(4 - 8x)

Make sure to do the parentheses first or factor out first

20 - 4x = 8 - 16x

add 16x to both sides

20 + 12x = 8

Subtract 20

12x = -12

Divide by 8

x = -1

8 0
3 years ago
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I need help finding the domain and range of this graph
SIZIF [17.4K]

Answer:

Step-by-step explanation:

Okay so to find the domain and range we need to find the x values and the y values: the domain is x and the range is y. Therefore the start of our x values can be concluded as -5 and the end is 5, so our domain will be -5 < x < 5: Note, I couldn't put the less than or equal to symbol. SO now our range is the values that are up and down, the range does down at 1 and the range is the highest at 3 so we can determine the range is 1 < y < 3. This is a continuous graph, so there is continuous x values and y values in this graph, so it's simple to use the start and the end of the domain and range followed by the possible y and x values which is represented by y and x.

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A cable is <br> 40<br><br> meters long. How long is the cable in decimeters?
AnnyKZ [126]
Hello,

1 meter is equal to 10 decimeters.

SO, 
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Hope this helps!

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3 years ago
10-d = -34-5d solve this equation
algol13
<h3><u>Explanation</u></h3>
  • Given the equation.

10 - d =  - 34 - 5d

  • Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

10 + 34 =  - 5d + d \\ 44 =  - 4d \\  \frac{44}{ - 4}  = d \\  - 11 = d

  • Answer Check

Substitute d = -11 in the equation.

10 - ( - 11) =  - 34 - 5( - 11) \\ 10 + 11 =  - 34 + 55 \\ 21 = 21

The equation is true for d = -11.

<h3><u>Answer</u></h3>

<u>\large \boxed{d =  - 11}</u>

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