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ValentinkaMS [17]
3 years ago
11

A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $5

20 was collected. How many children came to the craft show?
Much Appreciated <3
Mathematics
1 answer:
rjkz [21]3 years ago
8 0
X+y=155. Y= -x+155

1.50x +4(-x+155)= 520
1.50x-4x+620=520
-2.5x =-100
X= 40. Y=110
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Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
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Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

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Focus Question: How do you determine whether a real-world context should be
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Answer:

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.

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Step-by-step explanation:

The answer of the question number 1 is b

The answer of the question number 2 is also c

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3 0
2 years ago
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Answer:

72.7

Step-by-step explanation:

First multiply 72 by 10

because 72 is 72 10s, making it a whole number.

then add 720 (72 times 10) to 7.

then all of that over 10.

then just divide.

727/10

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this is what you do for all mixed numbers like that one.

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posledela

Answer:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

Step-by-step explanation:

Let x the number of months

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Tyler's Gym charges a $30 fee to join and $20 per month

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After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

​

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