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kolezko [41]
3 years ago
9

The cost for x number of students to attend an after school sporting event can be represented bu the functon C(x). If C(124) = 5

58, select the following statements that are true.
1. 124 students paid to attend the event.

2. 558 students paid to attend the event.

3. The cost for one student to attend the event cannot be determined.

4. The cost for one student to attend the event is $4.50

5. The event generated $124 from student revenue.
Mathematics
1 answer:
lara [203]3 years ago
7 0
Alright! Given that C(x) is Cost(Students) = 558, we can eliminate:

2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.

Now, in order to find the cost per student we simply divide 124 on both sides:

\frac{C(124)}{124} =  \frac{558}{124}

124 cancels on the left and 558/124 is 4.5 or $4.50. 

Since we just determined the cost of one student, we can eliminate 3.

To check if 124 students paid, we simply add the cost to the equation and check:

4.5(124) = 558

558 = 558 √

It checks out, so we determined that both 1 and 4 are correct.
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Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

8 0
3 years ago
Polygon D is a scaled copy of polygon C using a scale factors of 6
Vladimir79 [104]

Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.

Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

 In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

Length\ scale\ factor=k=6

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

Area \ scale\ factor=k^2=6^2

Finally, evaluating, you get that this is:

Area \ scale\ factor=36

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

8 0
3 years ago
Just need the equation
Anna007 [38]

a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Each of the equations can be solved as shown below:

a. 3x + 7 = - x - 1

3x + 7 + x  = - x - 1 + x (<em>addition property of equality</em>)

4x + 7  = - 1\\4x + 7 - 7 = -1-7 (<em>Subtraction property of equality</em>)

4x = -8\\\frac{4x}{4} = \frac{-8}{4}<em> (Division property of equality)</em>

<em />x = -2

b. 1 - 2x + 5 = 4x - 3\\

<em>Add like terms </em>

<em />6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6 (<em>Subtraction property of equality</em>)

- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x<em> (Subtraction property of equality)</em>

<em />-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}<em> (Division property of equality)</em>

<em />x = \frac{3}{2}

c. 4x - 2 + x =-2 + 2x\\

5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0

d. 3x - 4 + 1 = - 2x -5 + 5x\\

3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}

<em>The value of x in each </em><em>equation</em><em> are:</em>

<em />a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Learn more here:

brainly.com/question/1527981

5 0
3 years ago
Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predic
elena55 [62]
The population 10 years later will have increased by 3,040,  making the population 18,240.
Hope this helps.<span />
7 0
3 years ago
9. The surface area, S, of a right rectangular prism with length l, width w, and height h can be found using the formula below.
iren [92.7K]

Answer:

Surface area is 300 in Squared

Step-by-step explanation:

2(lw + wh + hl) = rectangular Prism Formula

Length- 12

Width- 9

Height- 2

So just Substitute the values.

2( 12 x 9+ 9 x2 + 12 x 2) = ?

2(108 +18+ 24)

2 x 150

= 300

6 0
3 years ago
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