Mathematics High School

Fun Zone charges an entrance fee
of $4.50 and $0.65 per ticket. Happy
Town charges $0.40 per ticket and a
$5.00 entrance fee. How many
tickets must be purchased in order
for the total to be the same at both
Fun Zone and Happy Town?

Answers

Answer 1

Answer:

2 tickets

Step-by-step explanation:

To be the same they must equal each other.

4.50 + 0.65x = 0.40x + 5

isolate the variable

subtract 4.50 from both sides

0.65x = 0.40x + 0.50

subtract 0.40x from both sides

0.25x = 0.50

divide both sides by 0.25

x = 0.50 ÷ 0.25

x = 2

Related Questions

if f(x)=3x-2 and g(x)=+1, find (f+g)(x)

A. 5x-3
B. 5x-1
C. x-1
D. x-3

Answers

Answer:

3x-2+2x+1=5x-1

Step-by-step explanation:

-3x + 4=6x-5 solve for x

Answers

-3x + 4 = 6x - 5
4+5 = 6x + 3x
9 = 9x
1 = x

x=1

Step-by-step explanation:

[tex] -3x + 4=6x-5\\\\6x+3x=4+5\\\\9x=9\\\\x=\sf{\dfrac{9}{9}}\\\\X=1[/tex]

Idk why but I need an image answer for this...
8.25
x6.75

Answers

Answer: 55.6875

Step-by-step explanation:

Answer:

8.25

x6.75

Step-by-step explanation:

55.6875

What goes in the blanks for "Table: Constant change across the _____ and constant change of the _____."

Answers

Answer:

Constant change across the y, and constant change of the x.

This is my guess

frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost $22 each. Let c be the cost for a salvia. Which inequality below could be used to show how much money Frank spent on salvia?

Answers

Answer: 3×22+c≤85

Step-by-step explanation:  i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be great

Hope this helped

Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?

Answers

Answer: 10 weeks

Step-by-step explanation:

Nilda's money = 250 +15x being x the number of weeks that have passed    

Lona's money= 200+20x

If they have the same amount, then

250+15x=200+20x

250-200=(20-15)x

50=5x

50/5=x

10=x

Answer:

10 weeks

Step-by-step explanation:

Nilda's money = 250 + 15x

Lona's money = 200 + 20x

250 + 15x = 200 + 20x

250 - 200 = (20 - 15)x

50 = 5x

10 = x

which equation is y=(x+3)^2+(x+4)^2 rewritten in vertex form?

Answers

Answer:

[tex]y-1/2=2(x+7/2)^2[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y-k=a(x-h)^2[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The given function is:

[tex]y=(x+3)^2+(x+4)^2[/tex]

Expanding the squares:

[tex]y=x^2+6x+9+x^2+8x+16[/tex]

Simplifying:

[tex]y=2x^2+14x+25[/tex]

Factoring 2 from the first two terms:

[tex]y=2(x^2+7x)+25[/tex]

The expression in parentheses must be completed to form the square of a binomial:

[tex]y=2(x^2+7x+49/4-49/4)+25[/tex]

Isolating the square of the binomial:

[tex]y=2(x^2+7x+49/4)-49/2+25[/tex]

Operating and Factoring:

[tex]y=2(x+7/2)^2+1/2[/tex]

Rearranging:

[tex]\boxed{y-1/2=2(x+7/2)^2}[/tex]

Comparing with the vertex form:

a=2, h=-7/2, k=1/2

Which of the following statements is true about the three quadrilaterals? (5 points)

Group of answer choices

N and O are similar and congruent.

M and N are similar and congruent.

M and O are similar but not congruent.

M and N are similar but not congruent.

Answers

Answer:

3

Step-by-step explanation:

M and O are similar but not congurent is

Answer:

The right one would be D

Step-by-step explanation:

Pls help me I don’t know this :(

Answers

Answer:

B 25% I worked this out, tell me if it helped and plz mark Brainliest ^w^

select all input values for which f(x)=3
​

Answers

Answer:

Step-by-step explanation:

x=-3

Answer:

x=3

Step-by-step explanation:

7.13 x 6.2 = 44.206
write down two more multiplications with an answer of 44.206

Answers

22.103 x 2
44.206 x 1
11.0515 x 4

What percent of 80 is 8

Answers

Answer:

P = 10%

Step-by-step explanation:

Of means multiply and is means equals

P * 80 = 8

Divide each side by 80

P = 8/80

P = .1

Change to percent form

P = 10%

Answer:

Hi sorry

Step-by-step explanation:

sorry bhai plzzzzxxxxxxzzzzzzzzzzzzzzzztry ur best

Which solid has the top, the side, and the front views given?

Answers

Answer:

H

Step-by-step explanation:

Only H looks like a square from the top.

Answer: H

simplify 3/6 over 4 pleaseeeeeeee

Answers

Answer:

Answer:

Use Mixed Numbers 3/6 ÷ 4

This is the same as division with fractions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

-

8

How many terms does the expression “ 4 + 5 - 2x - 3” have?

Answers

Answer:

4 terms

Step-by-step explanation:

each number or each coefficient/variable combo is a term.

Please help I’ll give brainiest!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They have you pay a initial amount of $2

A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% s as le tax and 10% for the tip. How much did they pay for the dinner

Answers

Answer:

32.95

Step-by-step explanation:

Fill in the missing number to complete the linear equation that gives the rule for this table.
f(x) = x

Answers

Answer:

4

Step-by-step explanation:

because 4x4 is 16

5x4 is 20

6x4 is 24

and so on

Answer:

f(x) = ax

Step-by-step explanation:

Danielle answered 24 out of 30 questions correct on her Math test and
21 out of 25 questions correct on her Science test On which test did she
Score higher?​

Answers

Answer:

Science

Step-by-step explanation:

To calculate the percentages, divide the amount of correct answers by the amount of questions there are.

Math:

24/30=.8=80%

Science:

21/25=.84=84%

The science score is 4% higher.

I need help but ill give brainless but dont guess actally try cuz i dont get it

Answers

Answer:

The length of AB is 3 squares

Length of A' B' is 9 squares

Point A is (2,1)

Point a' is ( 6,3)

Step-by-step explanation:

I am not sure what the scale factor is though. I have never heard of it. Sorry!

Which property does the following
equation represent?
62? + 43 = 43+ 6x2

Answers

Answer:

commutative

Step-by-step explanation:

you are typing the same numbers but in different order

Does anyone know this answer 7/2 x 6/7 thats one question second question is 1/7 x 5/2? help :(

Answers

Answer:

First one is 3 and second is 5/14

Step-by-step explanation:

Answer:

first is 14/12 simply it will be 2/2 witch cost it to be a whole number so it will become 1. and the other on is 2/35 agian simply it will be 2/5.

Step-by-step explanation:

How do u find the volume of rectangular brick?

Answers

Answer:

the answer is to use the formula lxwxh or length x width x height

solve the inequality plz i need help asapx/3-2<4

Answers

Answer:

here is your answer 1<4

The high school decided to buy new unitorms for the girls and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store
offers discounts based on the number of items the school buys, as shown below. What will the discounted price be for the high school?

Answers

Answer:

$802.75

Step-by-step explanation:

1235x0.35=432.25

1235-432.25=802.75

i would like to keep track of how much candy i eat each day remember the y axis is vertical and axis is horizontal

Answers

Answer:then the days would be on the x axis (dependant variable) and the Amount of candy would be on the y axis(independent variable=something that can be changed)

What is S? Please and thank you!
9= S+9

Answers

Answer: S=0  

hope this helps

Step-by-step explanation:

answer s =0

Step-by-step explanation:

because you just have to get rid of the 9 and by doing that you ned yo subtract it by 9

HELP ASAP
Ben travels by train 19 miles to work if ben travels 8 times a week how many miles does he travel

Answers

Answer: 152 miles

Step-by-step explanation:

19 x 8 = 152

Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.

Answers

Answer:

[tex]29x-30=782[/tex] where x denotes number of junior tickets.

Step-by-step explanation:

Let x denotes number of junior tickets.

Sara sold 10 less senior tickets than junior tickets.

Number of senior tickets [tex]=x-10[/tex]

Sara sold 3 times as many sophomore tickets as junior tickets.

Number of sophomore tickets [tex]=3x[/tex]

Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.

Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]

Sara raised $782.

So,

[tex]29x-30=782[/tex]

Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting

Answers

Answer:

B

Step-by-step explanation:

susuusjakaajjajajajaajajaj

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