The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket

Answers

Answer 1

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$


Related Questions

Ari divides by 6 and gets a quotient of 9.3. What is the dividend in Ari's division problem? *

Answers

Answer:

I believe the answer is 1.55

Step-by-step explanation:

Answer:

55.8

Step-by-step explanation:

to find the quotient you must multiple the divisor and quotient

6*9.3=55.8

PLEASE HELP
find value of x and y

Answers

Given :

There is a quadrilateral.Two sides of the quadrilateral are parallel .Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.

To Find :-

The value of x & y .

Solution :-

Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.

⇒ 96° + 2x = 180° .

⇒ 2x = 180° - 96° .

⇒ 2x = 84° .

⇒ x = [tex]\red{\sf \dfrac{84^{\circ}}{2}}[/tex]

[tex]\bf\longmapsto x = 42^{\circ}[/tex]

Hence value of x is 42° .

Similarly , 94° & ( 3y + 44) ° are co- interior angles

⇒ 94° + ( 3y + 44)° = 180° .

⇒ ( 3y + 44 )° = 180° - 94° .

⇒ 3y + 44° = 86°.

⇒ 3y = 86° - 44° .

⇒ 3y = 42° .

⇒ y = [tex]\sf \red{\dfrac{42^{\circ}}{3}}[/tex]

[tex]\bf\longmapsto y = 14^{\circ}[/tex]

Hence the value of y is 14°.

Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)

Answers

Answer:

the answer should be 7a^3-4a^2-2a-87

At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?

Answers

Answer:

y= 11+t.05. t= hours of snow

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

y= 11 + 5 (.05)

y= 11 + 2.5

y= 13.5

2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three
terms.
Is Liz correct? Explain your reasoning in complete sentences. Be specific!

Answers

Answer:

see below

Step-by-step explanation:

The first step is to combine like terms

4x -12 + 2x

6x -12

Then determine the number of terms

2 terms so it is a binomial

Answer:

Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms

Step-by-step explanation:

not positive

Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?

Answers

Step-by-step explanation:

it's not same but u can find your answer through it

(3x^8)(5x) simplify using Law of exponent

Answers

It would be 15x^5 if u need the steps comment

PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:

Answers

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems

Answers

Answer:

3:5

hope this helped :)

plz help plzzzzzzzzzzz​

Answers

Answer:hahhahahahahahahhaha that sucks were both stupid!!!

Step-by-step explanation:

The art room at a school is made up of three​ sections: a pottery​ section, a painting​ section, and a sculpture section. Complete questions 6–7 below. LOADING... Click the icon to view the diagram of the art room. 6. Artwork will be on display for an art show in all sections of the art room except the sculpture section. How much space is available for the art​ show?

Answers

Answer:

Step-by-step explanation:

huh huh huh huh whatttttttttttttt

I need this please fast!!!!!

Answers

Answer:

∠BEC = 54°

Step-by-step explanation:

ED and EA are opposite rays, which means that they form a straight angle.

Straight angle = 180°

Which means that,

∠AEB + ∠BEC +∠DEC = ∠AED

This is the equation we are going to use,

We also know that ∠CED = 72°

We know that BE bisects ∠AEC

Know, we know that ∠AEB =  (7x - 2)°

That means ∠BEC = (7x - 2)°  - This is because ∠AEB = ∠BEC

=>(7x - 2)° + (7x - 2)° + 72° = 180°

=> (14x - 4)° + 72° = 180°

=> (14x - 4)° = 180° - 72°

=> (14x - 4)° = 108°

=> 14x = 108° + 4°

=> 14x = 112°

=> x = (112 / 14)°

=> x = 8°

So, know we can find ∠BEC

(7x - 2)°

=> (7 * 8 - 2)°

=> (56 - 2)°

=> 54°

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

how do i graph x = -1

Answers

Answer:

red line shown is how to graph x = -1

Step-by-step explanation:

start moving from the middle of the graph (0,0) and move 1 to the left, marking it at -1

What are the following properties:
4k−3−2k=2k+5−2k

2k−3=5

2k−3+3=5+3

2k=8

2k2=82

k=4

Answers

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k

Solve for x.
z=(x-5)k

Answers

Answer:

x=z/k+5

Step-by-step explanation:

the answer is z/k + 5 = x

What are the values of x and y?
image attached. Thank you!

Answers

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C


20.
60
(x + 20)
Зх
Sum of angle
measures: 180°

Answers

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Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex](x + 20) + 3x + 60 = 180[/tex]

[tex]4x + 80 = 180[/tex]

Subtract sides 80

[tex]4x + 80 - 80 = 180 - 80[/tex]

[tex]4x = 100[/tex]

Divide sides by 4

[tex] \frac{4}{4} x = \frac{100}{4} \\ [/tex]

[tex]x = 25[/tex]

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Answer: definitely x=25

Step-by-step explanation:

equivalent fraction using the lcd 7/10 and 5/6 NEED ANSWE LIKE NOW PLZZZ HELP WILL MARK BRAINLIEST

Answers

Answer:

2 i think. :D

Step-by-step explanation:

Please help hurry!!!!! This is due in a couple of minutes!!!!

Answers

Answer:

200 in.

Step-by-step explanation:

1250/75=5000/300=50/3 simplification

50*12=600 conversion to inches

600/3=200 simplification

f(x)=x^2+6x+7
g(x)=x+2
find g(f(x))

Answers

Answer:

g(x2+6x+7)=x2+6x+9

Step-by-step explanation:

Evaluate g(f(x)) by substituting in the value of f into g

g(2x)=6(2x)−7

Multiply 2 by 6

g(2x)=12x−7

650 divided by 3/2 (With the full explanation)

Answers

Answer:

Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.

Step-by-step explanation:

By the concept of division by a fraction, 650 divided by 3/2 will result in [tex]433 \frac{1}{3}[/tex].

We have to solve 650 divided by 3/2.

Mathematically, it can be expressed as:

650 ÷ [tex]\frac{3}{2}[/tex]   -----(1)

To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:

dividing by a fraction =  multiplying by the reciprocal of the fraction

And the reciprocal of any fraction is simply the ratio of denominator and numerator.

So, the reciprocal of  [tex]\frac{3}{2}[/tex]  is [tex]\frac{2}{3}[/tex] .

Then, expression (1) will be equivalent to

[tex]650 \div \frac{3}{2} = 650 \times \frac{2}{3}[/tex]  ------(2)

That means we have to multiply 650 and fraction 2/3.

To get the multiplication of two fractions, we multiply the numerators together and the denominators together.

[tex]650 \times \frac{2}{3} = \frac{650\times 2}{3}[/tex]

[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]

[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]

[tex]650 \times \frac{2}{3} = 433 \frac{1}{3}[/tex]

Thus, from equation (2)  

[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]

Hence, 650 divided by 3/2 is:

[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]

Learn more about division by fractions here:

https://brainly.com/question/12318185

#SPJ6

Choose the correct method to factorize the following *
5hs-10hr-2ks+kr
a-Taking HCF common
b-Mid-term break
c-Algebraic Identities
d-Grouping

Answers

Answer:

Algebraic identities

Step-by-step explanation:

Here, we want to choose the correct method to factorize the given expression

That will be;

Algebraic identities

This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities

ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70

Answers

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.​

Answers

A. Let the Initial Interest rate = x
It is given that each month Interest rate decreases by 1/4 point. Let total change of rate over the last six month= y
y = 6 x -x/4
y = -1.5x

B. Total Change
= (-1.5x-x)/(6-1)
= -2.5x/5
= -0.5x
= -5x/10
= -x/2

What is the answer?
2500/x+20
=2500/(48.59)+20

Answers

The answer would be 71.45

Which diagrams is not correct

Answers

Answer:

A

Step-by-step explanation:

Plz help me I’ll give brainliest

Answers

Answer:

it is A i could be wrong

Step-by-step explanation:

Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box

Answers

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

9 and 10 only ...............

Answers

Answer:

19

Step-by-step explanation:

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