A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?

Answers

Answer 1

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

Answer 2

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.


Related Questions

can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?

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Answer:

39

Step-by-step explanation:

4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.

10c - 6(2c - 1) = -2 (c- 3). Solve for c

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What do you by the end ?

There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?

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Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1 hour you will make $10

2 hours you will make $20

10 hours you will make $100

The constant of proportionality is 10

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Answers

Answer:

Any equation that has the same slope

Step-by-step explanation:

If two li es have the same slope that means they will never intercept

A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.

Answers

3, 3x3=9, 3x4=12, 3x5=15, 3x6=18

Answer: 3 for edgenuit y

Step-by-step explanation:

What is the equation of the line that passes through the point (6,-4) and has a
slope of -1/6

Answers

Answer:

y = -1/6x-3

hope this helps

Answer:

x+6y+18=0

Step-by-step explanation:

we have to use (y-y1)=m(x-x1)

now,(x1,y1)=(6,-4),m=-1/6

so, (y+4)=-1/6(x-6)

or,6y+24=-x+6

or,x+6y+24-6=0

x+6y+18=0 is the required equation.

20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8

Answers

Answer:

-2.5

Step-by-step explanation:

-4 5/8 = -4.625

2 1/8  = 2.125

-4.625  + 2.125 = -2.5

Answer:

-20/8 or -2 1/2

Step-by-step explanation:

-4 5/8 + 2 1/8

Convert mixed numbers into improper fractions

-37/8 + 17/8

Add the numerators but NOT the denominators

Final Answer: -20/8 or -2 1/2

can i get brainiest

Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

The slope is 100

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Step-by-step explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

Have a good day :)

7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?

Answers

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

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x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

5/-8 + 2/3
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Answers

Answer:

1/24

Step-by-step explanation:

(-5/8)+2/3

(-15/24)+16/24

1/24

a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls​

Answers

The answer would be 32

what is the equation of the horizontal line through (-7,-3)?

Answers

Answer:

9

Step-by-step explanation:

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

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ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

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   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

Someone please help! Asap

Answers

4x + 3 + 9x + 5 = 47
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X = 3

9(3) + 5

Answer: 32
Answer :
X=3

Steps :

4x+3 + 9x+5
= 13x+8

Then
13x+8 = 47

X=3

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Answers

Answer: 1/10

Step-by-step explanation:

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keep, change, flip

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Answers

Answer:

f=2

Step-by-step explanation:

First, you move the variables to the left side of the equation and change its sign.

After doing so, you  have 4f -5f =2.

Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.

Your equation looks like this now: -f = -2

Now remove the negative symbols due to their being one on both side.

f=2

Mark brainliest if possible please! Have a nice day.

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
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Answers

9514 1404 393

Answer:

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Step-by-step explanation:

We can find the function g(x) to be ...

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Answer:

Your answer would be C:]

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:


Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
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D) 4x + 3y = 24

Answers

Answer:

a

Step-by-step explanation:

The answer is a hope this helps

Which shows the image of quadrilateral ABCD after the transformation Ro, 90?

Answers

Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

B)

Step-by-step explanation:

edge

Round 1,217 to the nearest thousand.

Answers

Answer:

1,000

Step-by-step explanation:

if it's past 1500 or in 1500 it would fall to 2000

but like it's less then 1,500 then it falls to 1000

hopefully it's right

what's the diagonal if a square of area 32 cm2?​

Answers

Answer:

it is d=8cm

I hope this helps!!!

can someone help me​

Answers

Answer:

cant read it :(

Step-by-step explanation:

Answer:

m = [tex]\frac{y-b}{x}[/tex]

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( isolate m by dividing both sides by x )

[tex]\frac{y-b}{x}[/tex] = m

Two window washers start at the heights shown. One is​ rising, the other is descending. How long does it take for the two window washers to reach the same​ height? Explain.

21 ft high

rising 8 in./s

50 ft high

descending 11 in./s

After t​ seconds, the height of the rising window washer is exactly

nothing ​feet, and the height of the descending window washer is exactly

nothing feet. Setting these expressions equal to each other and solving for t yields the exact value t

nothing. Rounding to one decimal​ place, the window washers reach the same height after about

nothing seconds.

​(Simplify your​ answers.)

Answers

Answer: 18.32secs

Step-by-step explanation:

given data:

first washer

21 ft high

rising 8 in./s

second washer

50 ft high

descending 11 in./s

Solution:

initial height of first washer = 21 feet

1feet = 12inches

21 * 12 = 252inches

decending at a pace of 8inch/secs

= 252 + 8x

initial height of second washer

= 50 feet

= 50 * 12

= 600inches

descending at a pace of 11inch/secs

= 600 + 11x

At what time would they meet

252 + 8x = 600 + 11x

collect like terms

8x + 11x = 600 – 252

19x = 348

divide both sides by 19

19x/19 = 348/19

x = 18.32secs

Please HELP! will give brainliest

Answers

Answer:  angle D = 71 degrees

================================================

Explanation:

FGH is similar to EDC

Note the order of the letters. The order is important since it tells us how the letters pair up.

F and E are the first letters, so F and E pair up. This means F = E.G and D are the second letters, meaning that G = DH and C are the third letters showing that H = C.

The diagram shows G = 71. Since G = D, we know that D = 71 as well. You can use the substitution property or the transitive property (both are effectively the same).

----------

Side note: The angles G and D are the top most angles in the diagram, so this is a visual way to see how they pair up. Keep in mind that the diagram won't always be helpful because it may not be drawn to scale or something may be rotated to trick you. It's best to use the letter pairing method in the previous section above.

How do I turn a equation to factored form

Answers

Answer:

what equation is it?? bc it's important to know witch one

Which one?
A or B. ​

Answers

Answer:

A) 600

Step-by-step explanation:

Sooo 3 x -5 = -15

then -4 x 10 = -40

Next -40 x -15 = 600

Since it's a negative times a negative the outcome is gonna be positive. Also I just broke down the problem into two parts and then multiplied the two answers together since it was called for.

A. The answer is a because after you find the product of both answers, they’re both negatives, a negative x a negative = a positive. So the final answer would be positive 600. hope this helps!!
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