Tickets to the museum cost 7.50 each. Students receive a 15% discount on admission. What is the cost of a student ticket?

Answer:

-5

Step-by-step explanation:

Answer:

you have to be more detail?

Step-by-step explanation:

Answer:

The number of terms n in arithmetic series is n=25

Step-by-step explanation:

We are given:

a₁ = 13

d = 3

Sₙ = 1225

We need to find number of terms i.e n

The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Putting values and finding n

[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]

Now, solving using quadratic formula to find value of n:

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Putting values: a=3, b=23 and c=-2450

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]

So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]

Since number of terms can't be negative so, n= 25

So, the number of terms n in arithmetic series is n=25

Answer:

r=5

Step-by-step explanation:

1.simplify both sides of the equation.

2.substract 2r from both sides.

3.substract 12 from both sides.

4.multiply both sides by 5/(11)

5. your answer will be 5.

r=5

Answer:

x=19/2

x=- 13/2

Step-by-step explanation:

multiply both sides by                                                         2 |2x -3|+10=26

move constant (10 to the right and change sign                |2x-3|=26-10

subtract the numbers                                                           |2x-3|=16

use absolute value (rewrite the absolute value                  2x-3=16

equation as two separate  equations one (+) and (-)           2x-3= -16

2x-3=16    move constant to the right

2x=16+3   add the numbers  

2x=19   divide both sides by 2

x=19/2

same steps with with second one

2x-2= -16

2x= -16 +3 move constant to the right change sign and add

2x= -13             divide both sides by two

x= -13/2

The  |   | are not (   ) .  They have different meaning , absolute value brackets. ok :)

Answer:

x = -5

Step-by-step explanation:

First distribute the 5 on the right side of the equation.

10x - 35 = 15x - 10

Then subtract 10x on each side

-35 = 5x - 10

Then add 10 on each side

-25 = 5x

Divide 5 on each side to get x

-25 / 5 = -5

I hope this helps! :)

Answer:

[tex]\sf x=-5[/tex]

Step-by-step explanation:

[tex]\sf 5(2x-7)=15x-10\\10x-35=15x-10\\10x-35+35=15x-10+35\\10x=15x+25\\10x-15x=15x+25-15x\\-5x=25\\\cfrac{-5x}{-5}=\cfrac{25}{-5}\\x=-5[/tex]

Answer:

75a

Step-by-step explanation:

2(vas)

2(35a)

75a

Hope this helps plz hit the crown :D

Answer:

Y= x+15

X intercept is 15

I gallon per hour

Initial amount of gas was 15

At hour 15 tank was empty

Step-by-step explanation:

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

Answer: 9.

5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!

Answer:

9

Step-by-step explanation:

5*3=15

15-6=9

Answer:

The measurement of angle JKL is x

Step-by-step explanation:

The angle bisector of KE tells you that the two angles on either side of that line are equal.

If we take the measurement of the big angle and subtract out the little angle that we know, we will find the measurement of the angle we are looking for.

4x + 6 - (3x +6)

4x + 6 - 3x -6

x

Answer:

y = - 3x + 4

Step-by-step explanation:

Line is passing through the points (1, 1) & (0, 4)

Slope of line = (4-1)/(0-1) = 3/(-1) = - 3

Equation of line

y = mx + b

Here m = - 3, b = 4

y = - 3x + 4

Using point (1, 1)

y - 1= - 3(x - 1)

y = - 3x +3 +1

y = - 3x + 4

Answer:

1%

Assuming that interest is paid yearly,

4000 = 2000*(1+x)^8

2 = (1+x)^8

1 + x = root of 2 in 8th degree (2^1/8)

x = 2^1/8 - 1

x = 0.0905

or 0.01

I.e. 1%

Answer:

12.5

Step-by-step explanation:

2000 / 12.5 = 225

225 x 8 = 200

Answer:

the answer is D. (10, ∞)

Step-by-step explanation:

Answer:

the opposite of what is in the parentheses so -(-6) would just be 6

Answer:

142

Step-by-step explanation:

start with 200, add 1 then subtract 32, minus 27 again

200 + 1 -32- 27+ 142

Answer:

141

Step-by-step explanation:

The percentage of the T-shirt that are yellow will be 20%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A T-shirt vendor sells yellow shirts and blue Shirts at a ratio of 1: 4.

The ratio of the yellow T-shirt is given as,

Yellow ratio = 1 / (4 + 1)

Yellow ratio = 1 / 5

Then the percentage of the T-shirt that are yellow will be given as,

P = [1/5] x 100

P = 0.20 x 100

P = 20%

The percentage of the T-shirt that are yellow will be 20%.

More about the percentage link is given below.

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Answer:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Step-by-step explanation:

Quadratic Equation Solving

We have the equation:

[tex]8x^2-48x=-104[/tex]

Divide by 8:

[tex]x^2-6x=-13[/tex]

Now complete the squares so the left side is a perfect square of a binomial:

[tex]x^2-6x+9=-13+9=-4[/tex]

Factoring the perfect square:

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

Taking the square root:

[tex]x-3=\sqrt{-4}[/tex]

The square root of a negative number is an imaginary number:

[tex]x-3=\pm 2\mathbf{i}[/tex]

Solving for x:

[tex]x=3\pm 2\mathbf{i}[/tex]

The solutions are:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Answer:

Keep it simple: got this from above answer...

Answer:

Here's just the answers without all the work for easier reading.  

Step-by-step explanation:

First problem answer: x2 + -6 x = -13

Second problem answer: x2 – 6x + 9 = –13 + 9

Third problem answer: (x + -3)² = -4

Fourth problem answer: 3 + 2i

Step-by-step explanation:

Answer:

x=y−6

Step-by-step explanation:

Answer:

x - y = -6

......

hope it helps!

Answer:

1. B

2. G

3. A

For question 3:

Its closed circle. go to the right

Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.

To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).

Step 1: Convert 3 1/4 to an improper fraction.

3 1/4 = (4 × 3 + 1) / 4 = 13/4

Step 2: Divide the total number of boxes by the number of students.

Fraction of a box per student = (Total boxes) / (Number of students)

Fraction of a box per student = 13/4 ÷ 12

Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).

Fraction of a box per student = 13/4 × 1/12

Step 4: Simplify the fraction if possible.

Fraction of a box per student = 13/4 × 1/12 = 13/48

So, each student receives 13/48 of a box of supplies.

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Answer:

J=17 N=20 R=15

Step-by-step explanation:

J=Jane

R=Ruby

N=Nora

J=2R-13

N=5+R

J+N+R=52

(2R-13)+(5+R)+R=52

Slove for R and plug into each equation

Answer:

Ruby is 15, Jane is 17 and Nora is 20.

Step-by-step explanation:

Let x represent the age of Ruby.

Jane: 2x - 13

Ruby: x

Nora: x + 5

52 = (x) + (2x - 13) + (x + 5)

52 = x + 2x - 13 + x + 5

52 + 13 - 5 = x + 2x + x

60 = 4x

x = 15

Jane:

2(15) -13

= 17

Nora:

(15) + 5

= 20

Answer:

radius=9cm

diameter=18cm

Step-by-step explanation:

Answer:

Radius = 9cm

Diameter = 18cm

Step-by-step explanation:

Remember that the diameter of a circle is the distance between two opposite sides (crossing the middle), and the radius is half of that - the distance from the middle to the outside.

the image shows that the diameter is 18cm, so we know that the radius is 18cm/2, which equals  9cm.

Answer:

2x+5<10

Step-by-step explanation:

please mark as brainliest

The first , second and third sequence is arithmetic and the fourth sequence is geometric.

A sequence is a series of numbers such that each number follows a very specific rule or explicit function which determines its value. There are numerous types of sequence and series . But for this particular question we will need to know :

Let us now take each series of numbers and find the type of sequence it is:

sequence 1: 2, 4, 6, 8, 10

Common difference = 10-8 = 6-4 =2

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7-5 =2

So the sequence is arithmetic.

sequence 3: 50, 25, 0, -25, -50

Common difference = 50-25 = - 25 - ( - 50) = 25

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7 - 5 =2

So the sequence is arithmetic.

sequence 2: 1/3, 1, 3, 9, 27

Common ratio = 3 ÷ 1 = 27 ÷ 9 = 3

So the sequence is geometric.

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9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.