The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than adult tickets. The adult tickets cost $4 and the student tickets cost $2. The class made a total of $280 from ticket sales. How many of each type of ticket did they sell? Elaborate and clarify your reasoning.
1a. Define the variables in this system
b. Create equations to describe the relationships in this system between the variables

Answer:

Step-by-step explanation:

a) See below for the next diagram in sequence.

__

b) The numbers of straws in each diagram are ...

  6, 11, 16, 21, ...

__

c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...

  s[1] = 6

  s[n] = s[n-1] +5

__

d) The next three terms of the sequence are ...

  ..., 26, 31, 36, ...

Answer:

1.D

2.B

Step-by-step explanation:

For the first one divide see which one is less which is D

For the second one Ive always used the method kcf keep change flip so you keep [tex]\frac{15}{1}[/tex] the change ÷ to multiplication so then flip [tex]\frac{2}{9}[/tex] so the equation would be

[tex]\frac{15}{1}[/tex]x[tex]\frac{9}{2}[/tex] so multiply the 15 by 9 then you get 135 then divide by 2 so thats your answer

Answer:

Step-by-step explanation:

XY=ST/2

3z+2=(7z-1)/2

2*(3z+2)=7z-1

2*3z+2*2=7z-1

6z+4=7z-1

+1         +1

6z+5=7z

-6z      -6z

5=z

The required value of z is 5.

Given that,

In RST, X is the midpoint of RS,

And Y is the midpoint of RT.

XY = 3z + 2 and ST = 7z - 1.

We have to determine,

What is the value of z.

According to the question,

X is the midpoint of RS,

And Y is the midpoint of RT.

Therefore,

[tex]XY = \frac{ST}{2}[/tex]

Putting the value of XY and ST in the equation,

XY = 3z + 2 and ST = 7z - 1.

Then,

[tex]XY = \frac{RS}{2} \\\\3z+ 2 = \frac{7z-1}{2}\\\\2 \times(3z+2) = 7z-1\\\\= 6z+4= 7z-1\\\\6z-7z = -1-4\\\\-z = -5\\\\= z = 5[/tex]

Hence, The required value of z is 5.

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Answer:

Is this all of the info?

Step-by-step explanation:

Answer:

i am still confuse plz give more info

Step-by-step explanation:

Answer:10.35 dollars

Step-by-step explanation: 15% of 9 dollars is 1.35

so you add 1.35 to 9 dollars to find the total cost

The total cost she will have to pay for the toy is $10.35.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given the cost of the toy = $9

sale tax on toy = 15% of the total price

sale tax on toy = 15% of 9

sale tax on toy =  0.15 x 9

sale tax on toy = $1.35

total  cost to pay = $9 + $1.35

total  cost to pay = $10.35

Hence total cost to pay is $10.35.

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Answer:

b

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Health issues are determined by a complex interaction of environmental and genetic factors, which is difficult to predict.

Answer:

Obtuse, right, isoceles, acute

Step-by-step explanation:

Answer:

2 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side/ hypotenuse

sin 60 = x/4

Multiply each side by 4

4 sin 60 =x

We know sin 60  = sqrt(3)/2

4 sqrt(3)/2 =x

2 sqrt(3) =x

Answer:

Earth sees a full moon in A

Neap tides occur in D and B

Earth sees a third quarter moon in D

Tide levels are highest in A and C

Therefore, the solution to the problem is as follows -

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Answer:

The 1st one and last one

Step-by-step explanation:

Answer:

252.5

Step-by-step explanation:

y = -0.004x^2 + x + 2.5

-0.004x^2 + x + 2.5 = 0

x = 25(5+√26) = 252.5

Let me know fi you need any other help:)

I had this problem on my quiz, I dont know what you mean by + -25 but hope this will help

The length has to be greater than the absolute difference between the other two lengths, but less than the sum of them. In other words, if your unknown side length is a, and the other two are b and c, then its |b - c| < a < b + c

So, putting in your values, you have 10 - 7 < a < 10 + 7, which is 3 < a < 17

So, your range is from 3 to 17 (non inclusive).

The length has to be greater than the difference between the named two lengths, but less than the sum of them. So 3-17 is your answer.

Answer:

3.50t + 550 = 5.00 + 250 bc well always remember that each means Multipy!

Answer:

Step-by-step explanation:

2x - 1 =0

2x = 1

x = 1/2

Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)

P(x)= x³ - x² + 2x -1

[tex]P(\frac{1}{2})=[\frac{1}{2}]^{3}-[\frac{1}{2}]^{2}+2*[\frac{1}{2}]-1\\\\=\frac{1}{8}-\frac{1}{4}+1-1\\\\=\frac{1}{8}-\frac{1*2}{4*2}+0\\\\=\frac{1}{8}-\frac{2}{8}\\\\=\frac{1-2}{8}\\\\=\frac{-1}{8}\neq 0[/tex]

2x - 1 is not a factor of p(x)

Answer:

It has 120 sides but mark the other guy brainliest

Step-by-step explanation:

--------------------------------------------------------

-4b + 18 = -6

Subtract 18 from both sides:

-4b + 18-18=-6-18

Simplify:

-4b= -24

Divide both sides by -4:

-4b/-4 = -24/-4

Simplify:

b=6

Your Answer Is b= 6

plz mark me as brainliest :)

Answer:

Well, whats the question the answers 2 pounds i guess

Step-by-step explanation:

Answer:

(x + 2)(x - 7)

Step-by-step explanation:

Given

x² - 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are + 2 and - 7, since

2 × - 7 = - 14 and 2 - 7 = - 5, thus

x² - 5x - 14 = (x + 2)(x - 7)

Trapezoid:

•Can have congruent diagonals. •Has one pair of opposite, parallel sides.

Kites:

•Has congruent adjacent sides.

•Has perpendicular diagonals.

Properties of trapezoid and kite are follows

Trapezoid

Kite

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides.

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

Here,

Trapezoid

Kite

Hence, the properties of trapezoid and kite are follows

Trapezoid

Kite

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Answer:

2/3

Step-by-step explanation:

Each time 2 parts of red is being used, 3 parts of yellow is used. The yellow depends on the red so 2/3.

Answer:

84

Step-by-step explanation:

7*3=21*4=84

7 toy cars multiplied by the combination of 3 toy trucks equals 21 then times that by the 4 temp. tattoos, then you get 84

Answer:

The equation of the line passing through the points (-2,0) and (0,-4)

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{y - 0}{x - ( - 2)} = \frac{ - 4 - 0}{0 - ( - 2)} = \frac{ - 4}{2} = - 2[/tex]

[tex]y = - 2(x + 2) \\ y = - 2x - 4[/tex]

[tex]2x + y = - 4[/tex]

The equation of the line passing through the points (0,-2) and (4,0)

[tex]\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} \: [/tex]

[tex] \frac{y - ( - 2)}{x - 0} = \frac{0 - ( - 2)}{4 - 0} [/tex]

[tex] \frac{y + 2}{x} = \frac{1}{2} [/tex]

[tex]x - 2y = 4[/tex]

Option B

x minus 2 y = 4 and 2 x + y = negative 4

The system of equation can be determine by using formula of equation of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

The system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

Given:

The given points are [tex](-2,0)[/tex] and [tex](0,-4)[/tex] and for another line [tex](0,-2)[/tex] and [tex](4,0)[/tex].

Find the equation line passing through point [tex](-2,0)[/tex] and [tex](0,-4)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-0}{x-(-2)}=\dfrac{-4-0}{0-(-2)}\\y=-2(x+2)\\y=-x-4\\2x+y=-4[/tex]

Find the equation line passing through point [tex](0,-2)[/tex] and [tex](4,0)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-(-2)}{x-0}=\dfrac{0-(-2)}{4-0}\\\\x-2y=4[/tex]

Thus, the system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

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Answer:

r = 10

Step-by-step explanation:

C = 62.8 = 2π·r

62.8 = 2·3.14·r

r = 62.8/2·3.14

= 31.4/3.14

= 10

Answer:

10 miles

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know circumference is 62.8, so we can substitute it in

62.8=[tex]2r\pi[/tex]

We want to find r, so we have to isolate it.

Divide both sides by [tex]2\pi[/tex] or 2*3.14 which is 6.28

62.8=[tex]2r\pi[/tex]

62.8=6.28r

62.8/6.28=6.28r/6.28

r=10

So, the radius is 10 miles

Answer:

432

Step-by-step explanation:

Volume of cuboid:

12 x 4.5 x 5.5 = 297

volume of traingular prism:

(12x5)/2 x 4.5 =135

add them together:

135+297 =432

hope this helps!

So, the required volume of the given wooden block is 432 cubic cm.

The formula for the volume of the rectangular prism is,

[tex]v=l\times b \times h[/tex]

And the formula for the volume of the triangular prism is,

[tex]v=\frac{1}{2} \times b \times h[/tex]

It is given that,

The volume of the wood is equal to the volume of the rectangular prism and triangular prism.

So, by using the above formula we can write as,

The volume of the wood is,

= volume of the wood is equal to the volume of the rectangular prism + triangular prism.

[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]

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Answer:

4x - 6 = 4x + 4

-6 not equal to 4

Therefore, the answer is c

No Solutions

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Alternate exterior is always the opposite side but on the outside. If it starts on the top left, it goes down to the bottom right

Answer:

angle 6

Step-by-step explanation:

angel 6 is an alternate exterior angle with angle 4

Answer:

A) 288 [tex]cm^{3\\}[/tex]

Step-by-step explanation:

The Volume of the figure is 288 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Given:

Base edges = 4 cm x 4 cm

Height = 1 cm

So, Volume = area of the base x height

For Figure 1:

Volume of figure1

=(4x4)x 10

=160

For Figure 2:

Volume of figure 2

= (8x4) x 4

= 128

Thus, the Total volume = 160+ 128 =288 cm³

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Answer: 2 deliveries per hour

Step-by-step explanation:

Answer:

A Farmhouse shelters 10 animals. some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Answer: 8 pigs and 2 ducks.

1. (A) p + d = 10

2. (B) 4p + 2d = 36

3. Multiply equation (A) with -2; -2p minus -2d = -20

4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8

5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2

Step-by-step explanation:

Answer:

  -17

Step-by-step explanation:

Each term in the sequence is 5 less than the one before, so the first 4 terms are ...

  -2, -7, -12, -17

The 4th term of the sequence is -17.

__

The general term (an) of the sequence can be written as ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference. Here, those are ...

  a1 = -2, d = -5

so the general term is ...

  an = -2 -5(n -1)

We can use this to find the 4th term:

  a4 = -2 -5(4 -3)

  a4 = -17