If purchased before the game, tickets to a high school baseball game cost $1.00. If purchased at the gate, the tickets cost $1.50. For a particular game, 500 tickets were sold and the total receipts were $587.50. How many tickets were purchased before the game and how many tickets were purchased at the gate?

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]

[tex]\text{Total amount}=15.25+1.0675[/tex]

[tex]\text{Total amount}=16.3175[/tex]

Round to the nearest cent (two decimal places).

[tex]\text{Total amount}\approx 16.32[/tex]

Therefore, the total value is $16.32.

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

Given the equation;  x + 13 = 18.

We plug x = 6 into the equation

x + 13 = 18

6 + 13 ≠ 18

6 + 13 is not 18

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

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Answer:

x² + 8x + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 7)(x + 1)

Step 2: Expand

Answer:

[tex](x + 7)(x + 1) = {x}^{2} + 7x + x + 7 \\ = {x}^{2} + 8x + 7 \\ Answer:\: \: \: \: \: \: \boxed{{x}^{2} +8 x + 7}[/tex]

Answer:

I think it is c I hope at least

Answer:

f(x)= x-7

h(x)= 2x+3

Step-by-step explanation:

h(fx)= 2(x-7)+3

      = 2x -14 +3

      = 2x - 11

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

Answer:

33

Step-by-step explanation:

Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years

Step-by-step explanation:

Step 1

Let my age be represented as x

My brother's age be represented as x+3

My sister's age =x-2

and my mum's age be 3(x+3)-1  with the total of all our ages = 87 Giving us the equation

x+ x+3+ x-2+ 3(x+3)-1 = 87

Step 2 ---Solving

x+ x+3+ x-2+ 3(x+3)-1 = 87

x+ x+3+ x-2+ 3x+9 -1 = 87

6x + 9= 87

6x= 87-9

6x= 78

x =78/6 = 13

Therefore my age = 13years

My brother's age = x+ 3 = 13+3= 16years

My sister's age = x-2 =13-2 = 11years

my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years

Answer:

divide round and nearest hundredths place 4.05 / 0.07 ​the answer would be:

57.86

Np.

Answer: I believe it's 5 I am not sure

Step-by-step explanation:

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

Step-by-step explanation:

All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.

[tex]p(x) = 10x - (8x+40) = 10x - 8x - 40[/tex]

We can then substitute 100 for x and solve.

[tex]p(100) = 10(100) - 8(100) - 40[/tex]

Step-by-step explanation:

km²

make it braintliest please

Answer:

n=2

a(2)= -13(2-1)+4

a(2) = -13(1)+4

= -13+4

= -9

Answer:

13/4

Step-by-step explanation:

We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4

Answer:

3 1/4

Step-by-step explanation:

[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]

This is not a function because the numbers show no pattern and are very inconsistent. You can see if there is a pattern after the second line; you can see if the third line follows the pattern from the 1st and 2nd line, which it does not in this case.

May I have brainliest please? :)

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

Step-by-step explanation:

Using Pythagoras' Theorem, we have

x² + 10² = (12√3)²

Therefore x² = (12√3)² - 10²

= (144)(3) - (100) = 332.

=> x = √332 = 2√83. (B)

Answer:

-70x

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

Given that,

Total no. of boys = 5

Total no. of girls = 10

We need to find the ratio of the number of boys in the club to the total number of students in the club.

Total no. of students = no. of girls + no. of boys

= 5 +10

= 15

Ratio,

[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]

Hence, the required ratio is 1/3 or one third.

Answer:

1/3

Step-by-step explanation:

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

Answer:

the one you have highlighted is correct

Step-by-step explanation:

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

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Answer:

D: 7x + 5y ≥ 200

Step-by-step explanation:

If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.

Answer:

<1 and <8

Step-by-step explanation:

<1 and <8 are alternate angles and has same measurement.