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nignag [31]
3 years ago
15

At the city museum, child admission is $5.90 and adult admission is $9.70. On Sunday, 144 tickets were sold for a total sales of

$1096.60. How many adult tickets were sold that day?
Mathematics
1 answer:
alexdok [17]3 years ago
5 0
Equations: 
5.90c+ 9.70a= 1096.60
a + c = 144

There were 79 Children tickets sold,
and 65 adults tickets sold.

Your welcome!

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Write the following numbers in order starting with the smallest 1.75kg 1975g 0.9kg 1800g
Jobisdone [24]

0.9kg

1.75kg

1800g

1975g

6 0
3 years ago
Which graph shows the solution to this system of inequalities?<br><br> y&lt;-1/3x+1<br> y&lt;_2x-3
kari74 [83]

The graph that shows the solution to the system of inequalities is: C (see the image attached below).

<h3>How to Determine the Graph of the Solution to a System of Inequalities?</h3>

Given the following systems of inequalities:

y < -1/3x + 1

y ≤ 2x - 3

Below are the features of the graph that represents a solution to the system of inequalities:

  • The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
  • The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
  • The slope of the shaded line that represents  y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
  • The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.

Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).

Learn more about the graph of the system of inequalities on:

brainly.com/question/10694672

#SPJ1

8 0
1 year ago
How do you collect like terms
pentagon [3]
Add them together 
e.g - 5a +6+6a+7
= 11a+13

6 0
3 years ago
A spring exerts a force of 6 N when stretched 3 m beyond its natural length. How much work is required to stretch the spring 2 m
lys-0071 [83]

Answer:

4Joules

Step-by-step explanation:

According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,

F = ke where

F is the applied force

K is the elastic constant

e is the extension

If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'

can be gotten using k = f/e where

F = 6N, e = 3m

K = 6N/3m

K = 2N/m

Work done on an elastic string is calculated using 1/2ke².

If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;

1/2× 2× (2)²

= 4Joules

3 0
3 years ago
Can anyone please help
shusha [124]

\text{Hi there! :)}

\large\boxed{f'(2) = -\frac{16}{27} }

f'(x) = \frac{(5 + x^{2} )(-2x) - (7 - x^{2} )(2x)}{(5+x^{2})^{2}  } \\\\f'(x) = \frac{-10x-2x^{3}- 14x + 2x^{3} }{(5+x^{2})^{2} } \\\\f'(x) = \frac{-24x}{(5+x^{2})^{2}  }\\\\ \text{Solve for the derivative at f'(2) using substitution:}\\\\f'(2) = \frac{-24(2)}{(5+2^{2})^{2}   } \\\\f'(2) = \frac{-48}{81} \\\\\text{Simplify:}\\\\f'(2) = -\frac{16}{27}

8 0
3 years ago
Read 2 more answers
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