MATHEMATICS HIGH SCHOOL

A school is planning a field trip to a theme park. A ticket to the park costs ​$23. For a group of 50 or​ more, there is a 15​% discount. The school saved ​$759 with the discount. How many tickets did the school​ buy?

Answers

Answer 1
Answer:

Answer:

 total tickets =  220

Step-by-step explanation:

given data

park ticket costs ​= $23

group member = 50

discount = 15%

school saved = ​$759

solution

we know here with the discount 15% we save $759

so we get here total paid x that is express as

x × 15% = $759  

x =  (759)/(0.15)  

x = $5060

so now we get total ticket that is

total ticket = total paid ÷ one ticket costs

 total ticket =  (5060)/(23)  

 total tickets =  220

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Paula has two pieces of wire, one 96 feet long and the other 72 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them

Answers

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If you pull the information into a mathematical context, you'll notice it is asking for the highest common factor of the 2 numbers

Let's put both of them in prime factorization:

96 = 2^5 x 3

72 = 2^3 x 3^2

Now pick out what is common in these

2^3 x 3 = 24

Thus it would be 24 feet

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She can make 7 24-foot wires perfectly

Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50 and 100 more student bought tickets than adults, how many adults amd students bought tickets

Answers

x-\ adults\ny-\ students\n\n \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\n\n5x+3.5(x+100)=2517.5\n\n5x+3.5x+350=2517.5\ \ \ | subtract\ 350\n\n8.5x= 2167,5\ \ \ | divide\ by\ 8.5\n\nx=255\n\ny=355\n\nThere\ were\ 355\ student\ tickets\ and\ 255\ adult\ tickets.

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Answers

Angle 3 is 128, since they’re vertical angles. Angles 2 & 4 are 52, as 180 minus 128 is 52, and both 2 & 4 are also their own vertical angles.

So,

1 = 128
2 = 52
3 = 128
4 = 52

Justify each step in solving the equation  by writing a reason for each statement.

Answers

Step-by-step explanation:

We are provided with an equation and are required to give reasons on how we got the final answer.

(1.) The equation is -3(2x-3) = 25-8x is given.

(2.) In this step, we have simplified the left hand side of the equation by opening the bracket i.e. -6x+9 = 25-8x

(3.) Here, the terms containing 'x' are brought to the left hand side of the equation and simplified i.e. 2x+9 = 25

(4.) Now, the constant terms of the equation are brought to the right side of the equation and simplified i.e. 2x = 16.

(5.) Lastly, the whole equation is divided by 2 in order to get the value of 'x' i.e. x = 8.

The phone you want to purchase is $200. You have a coupon for 30% off the purchase price. How much will you pay for the phone after the discount?

Answers

Answer:

$140

Step-by-step explanation:

Orignal Price: $200

200 x 0.3

= 60

200 - 60

= 140

Answer:the phone will cost 140

Step-by-step explanation:

The run is the _________ change between two points along a line

Answers

Run is the horizontal change between points. Run in slope means the change in "x" .

Answer:

The run is thehorizontal change between two points along a line

Step-by-step explanation:

The slope of a line can be defined as

\text{Slope}=\frac{\text{Rise}{\text{Run}=(\Delta y)/(\Delta x)

On comparing, we can say below mentioned things:

The run is always in the x direction and we take the horizontal axis as x-axis.

And rise is always in the y direction and we take the vertical axis as y-axis.

Therefore, we can conclude that  the run is thehorizontal change between two points along a line
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