Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
How many classes would Gina need to take for the total cost to be the same at both dance studios?

Answers

Answer 1

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

I need to know the surface area of this prism please help !!!! I will give brainlist !

Answers

Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

Please help me with this math question will mark brainliest

Answers

Answer:

-9

Step-by-step explanation:

Using the sum/difference property of logarithms, we can rewrite the expression given as:

log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5

Next, we can use the power property of logarithms, and rewrite it again as:

3log b + 3log c - 1.5log a

Now, we can substitute the values of log a, log b, and log c:

3(11) + 3(-9) - 1.5(10)

33 - 27 - 15

-9

Simplifying, we get -9 as the answer.

The dial on an old telephone is a plastic ring 8cm in diameter with a4cm diameter hole in the center. Ten small dialing holes each of diameter 1.2cm are cut out of the ring

Answers

Answer:

Area of remaining plastic = 36.55 cm² (Approx.)

Step-by-step explanation:

Given:

Diameter of plastic dial of telephone = 8 cm

Diameter of middle hole = 4 cm

Diameter of ten small holes = 1.2 cm

Find:

Area of remaining plastic

Computation;

Radius of plastic dial of telephone = 8/2 = 4 cm

Radius of middle hole = 4/2 = 2 cm

Radius of ten small holes = 1.2/2 = 0.6 cm

Area of remaining plastic = Area of plastic dial - Area of middle hole - 10[Area of small holes]

Area of remaining plastic = π(4)² - π(2)² - π(0.6)²

Area of remaining plastic = π(16) - π(4) - π(0.36)

Area of remaining plastic = π[16 - 4 - 0.36]

Area of remaining plastic = π[11.64]

Area of remaining plastic = (3.14)(11.64)

Area of remaining plastic = 36.5496

Area of remaining plastic = 36.55 cm² (Approx.)

What is the value of x?

Answers

Answer:

look at the picture I have sent

Answer:

D

Step-by-step explanation:

Using the sine ratio or the cosine ratio in the right triangle.

Choosing the sine ratio with the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex] → D


What is considered the most famous impossible problem from Greek
antiquity?
A. Bisecting any angle
B. The Koch curve
C. The Delian problem
D. Playfair's axiom

Answers

Answer: C: the Delian problem

Step-by-step explanation: the Delian problem includes doubling a cube which was a famous impossible problem

The most famous impossible problem from Greek antiquity is The Delian problem.

What is Greek antiquity?

The Greek difficulties of antiquity were a collection of geometric issues, and the only tools available to solve them were a compass and a straightedge. The only problems are:

Duplication of cubes.angle trisectionsquaring of circles

Solution:

The Delian problem, doubling the cube, is considered one of the most famous impossible problems from Greek antiquity. Two others are the trisection of the general angle and squaring of a circle(also a famous problem)

Whereas the other options like the Koch curve, bisecting any angle and playfair's axiom is known for its possibilities.

Hence the Delian problem is the most famous impossible problem from Greek antiquity.

Learn more about "Greek antiquity" here-

brainly.com/question/4231872

#SPJ2


Find the volume of a cone with diamter 12 and height 8

Answers

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

d = 12

r = d/2

r = 12/2

r = 6

V = 1/3 * 3.14 * 6^2 * 8

V = 301.44

Simplify: 7!
5,040
40,320
7
720

Answers

5040, I looked up the factorial of 7

Answer:

no.1 -5040 is the correct answer

Stock in Hamburgertronics entered the day at a value of $22.50. By the end of the day, the value of the stock had increased by 2%. What was the value of Hamburgertronics stock at the end of the day?

Answers

Answer:

$22.95

Step-by-step explanation:

Given data

Value=$22.50.

Percent increase= 2%

Let us find the value of 2% increase

=2/100*22.50

=0.02*22.50

=$0.45

Hence the total value at the end of the day is

=22.50+0.45

=$22.95

7th grades math help me pleaseeee

Answers

Answer:

7 attendees

Step-by-step explanation:

From the above question, we know that:

$10 = 5 attendees

$14 = x

Cross Multiply

$10 × x attendees = $14 × 5 attendees

x attendees = $14 × 5 attendees/$10

x attendees = 7 attendees

Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7

How many centimeters are equal to 0.4 inches?

Answers

Answer: 1.016

Step-by-step explanation: multiply the length value by 2.54

1016

multiply the length value by 2.54

What is the perimeter of the rectangle?

Answers

Answer:

28 Centimeters

Step-by-step explanation:

Have a good day :)

Find the distance between the two points coordinate plane below?
a. 6.00
b. 6.40
c. 5.50
d. 4.50

Answers

Answer:

b. 6.40

Step-by-step explanation:

the distance = √(4+1)² + (1-5)²

=√25+16=√41 = 6.40

Isabella is going to invest $2,400 and leave it in an account for 13 years. Assuming
the interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Isabella to end up with $3,800?

Answers

Answer:

i got 0.048%

Step-by-step explanation:

Answer:

r=3.54%

Step-by-step explanation:

A kayak is $329.95, marked 33% off. Discount: ____ Selling Price __

Answers

Answer:

$108.88

Step-by-step explanation:

because 329.95×0.33= 108.88

How do you do algebra

Answers

Answer:

You download math apps

Step-by-step explanation:

I don't know, I tried to learn it- even the basics- but I vomited on the kitchen table as soon as I practiced an equation.

I'm allergic to algebra.

Please help me no links

Answers

Answer:

A =30 degrees

angle at circumference is 2x the angle in the centre

LeBron flips a coin 3 times. What is the probability of LeBron getting tails AT LEAST twice in a row? (Note: If he gets tails more than twice in a row, this also counts). Please draw an organized probability tree as part of your answer and show all of your work leading up to your answer.

Answers

Answer:

3 / 8

Step-by-step explanation:

From the tree diagram provided :

Required outcome = atleast two consecutive tails :

(HTT) ; (TTH) ; (TTT) = 3

TOTAL POSSIBLE OUTCOMES = 8

PROBABILITY = REQUIRED OUTCOME / TOTAL POSSIBLE OUTCOMES

HENCE ;

P(ATLEAST TWO TAILS IN A ROW) = 3 / 8

I really need help please :(

Answers

Answer: 125 mg per serving for orange juice. 90 mg per serving for cranberry

Step-by-step explanation:

A person really wants a Apple. They are going to kick a ball up into the tree and knock a Apple to the ground. How far must they kick the ball?


EXPLAIN YOUR ANSWER! (Please)

(Use the picture to help you)

Answers

Answer:

The person must kick the ball around 31.62 feet high (They really want an apple!)

Step-by-step explanation:

If you think about it, the diagram will look like a triangle, so using the Pythagorean theorem, (a² + b² = c²), you will get around 31.62.

Have a good ay :)

Answer: 31.62

Step-by-step explanation:

What is the length of the apothem of the regular polygon?​

Answers

Answer:

14.49

Step-by-step explanation:

Which of the following is the least?
A) 27
B 1/4
C 3/8
D 2/11
E) 11%

Answers

Answer:

A) 0.27

B) 1/4 = 0.25

C) 3/8 = 0.375

D) 2/ 11 = 0.1818

E) 11% = 0.11

E is the correct answer

Step-by-step explanation:

Answer:

E)

Step-by-step explanation:

A) 27.0

B) .25

C) .375

D) .22

E) .11

А(1,5) B(7,-9) are two points
AB is divided into four equal parts at C, D
and E Find the coordinates
of C, D and E​

Answers

Answ  Find the distance between the following pairs of points:

           (i) (2, 3), (4, 1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b)Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1         ∴ The required distance         er:

Step-by-step explanation:

x=15-y
y=13-z
z=12-x

Answers

Answer:

x = 7; y = 8; z = 5

Step-by-step explanation:

x = 15 - y

y = 13 - z

z = 12 - x

The first equation is solved for x. Substitute x in the third equation with 15 - y from the first equation.

z = 12 - (15 - y)

z = 12 - 15 + y

z = y - 3       (Equation 1)

Now substitute y - 3 for z in the original second equation.

y = 13 - z

y = 13 - (y - 3)

y = 13 - y + 3

2y = 16

y = 8

Substitute 8 for y in Equation 1.

z = y - 3

z = 8 - 3

z = 5

Substitute 5 for z in the original third equation.

5 = 12 - x

-7 = -x

x = 7

Solution: x = 7; y = 8; z = 5

Please helppp me :( it’s c^4/c^3

Answers

Answer:

c

Step-by-step explanation:

Because [tex]\frac{c}{c}[/tex] is 1 the equation turns into...

[tex]c^{4-3}[/tex]

which equals...

[tex]c^{1}[/tex]

and [tex]c^{1}[/tex] is just c

is -2 less then 6
Yes or no

Answers

Answer:

Yes

Hope that this helps!

Answer:

yes -2 is less then 6

A triangle has a hypotenuse of length 25 and one leg of length 24. What is the tangent of the larger acute angle of the triangle?

Answers

Answer:

[tex] \sin( \theta) = \frac{24}{25} \\ \theta = { \sin }^{ - 1} ( \frac{24}{25} ) \\ \theta = 73.7 \degree \\ \\ \tan( \theta) = \tan(73.7 \degree) \\ = 3.4[/tex]

24 ft
Explanation:
The Pythagorean theorem states that the sum of the squares of the two legs is equal to the hypotenuse squared.
7
2
+
x
2
=
25
2

I'll use x to represent the unknown leg.
49
+
x
2
=
625
x
2
=
576
x
=
±
24

Eliminate the -24 answer choice; a side length cannot be negative
The other leg is 24 ft.

Parallelogram ABCDABCDA, B, C, D has the following vertices: A(0,8)A(0,8)A, left parenthesis, 0, comma, 8, right parenthesis B(8,4)B(8,4)B, left parenthesis, 8, comma, 4, right parenthesis C(2,-8)C(2,−8)C, left parenthesis, 2, comma, minus, 8, right parenthesis D(-6,-4)D(−6,−4)D, left parenthesis, minus, 6, comma, minus, 4, right parenthesis Is parallelogram ABCDABCDA, B, C, D a rectangle, and why?

(Choice A)
A
Yes, because AB=ADAB=ADA, B, equals, A, D and BC=CDBC=CDB, C, equals, C, D, and ABCDABCDA, B, C, D is a parallelogram.

(Choice B)
B
Yes, because \overline{BC}
BC
start overline, B, C, end overline is perpendicular to \overline{AB}
AB
start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.

(Choice C)
C
No, because \overline{AB}
AB
start overline, A, B, end overline is shorter than \overline{AD}
AD
start overline, A, D, end overline.

(Choice D)
D
No, because \overline{BC}
BC
start overline, B, C, end overline is not perpendicular to \overline{AB}
AB
start overline, A, B, end overline.

Answers

Answer:

Yes, because \overline{BC}  

BC

start overline, B, C, end overline is perpendicular to \overline{AB}  

AB

start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.

Step-by-step explanation:

I did it on khan academy and I got it right

Rewrite using a fractional exponent

[tex]\sqrt[6]{7^2}[/tex]

Answers

Answer:

[tex]7^{\frac{1}{3} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\sqrt[n]{a^{m} }[/tex] ⇔ [tex]a^{\frac{m}{n} }[/tex] , then

[tex]\sqrt[6]{7^{2} }[/tex] = [tex]7^{\frac{2}{6} }[/tex] = [tex]7^{\frac{1}{3} }[/tex]

Find the roots of f(x)=x^2+10x−96

I really just need the step by step-
cant find out how to get the answer

Answers

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

For every 5 strawberry's she puts in a basket she eats 2 if she picks 28 strawberries how many does she eat and how many does she eat and put in her basket

Answers

Answer:

she eat 10 Strawberries and puts 18 in her basket

Answer: she eats 10 strawberries, and she puts 15 in the basket.

Step-by-step explanation:

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