In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

The equation of the exponential function is y = 5(3)ˣ

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

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Answer:

C (Hypotenuse) = 9.9

Step-by-step explanation:

Given the two sides of a triangle, where a = 7, and b = 7:

We can use the Pythagorean Theorem where it states: c² = a² + b².

Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.

c² = a² + b²

c² = 7² + 7²

c² = 49 + 49

c² = 98

[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]

c = 9.89 or 9.9

Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.

Answer:

$6

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

5.5% is $1.54 of what number? (%/100= is/of)

5.5/100 = 1.54/X

X = (1.54 * 100) / 5.5 = $28

Answer:

sus

Step-by-step explanation:

O_O

for all of them its base times height

v=bh

1) (8*6/2)*9.5=228

2) (4.5/2)^2 *8= 40.5

3) (3.3* 8.3/2) *5.4= 74.0

4) ((3.2+4.8)/2)* 2.7 *4.4= 47.5

Answer:

P=-120

Step-by-step explanation:

This might be higher level than I am since I am still a student but p=-120i know that

Answer:

Angle 5

Step-by-step explanation:

It is angle 5 because they are mirrored.

Answer:

I believe that it is function

Answer:

That is the final product

Step-by-step explanation:

According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.

Answer:

Nothing is hard if you put your mind to it.

Step-by-step explanation:

Answer:

They are both the same.

Step-by-step explanation:

-2.875

7/8 = 0.875 thus -2 7/8 is equal to -2.875

If there are 15 chickens. Then the number of eggs will be 95.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The number of hens Mia has directly affected how many eggs she can sell. She can sell more eggs if she has more chickens. If she has 6 hens and produces 38 eggs every week.

Let the number of eggs be x. Then the equation is written as,

x / 15 = 38 / 6

x = 95

If there are 15 chickens. Then the number of eggs will be 95.

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Answer: 15

Step-by-step explanation:

Sorry bout that.....

Answer:

The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".

Step-by-step explanation:

got the information from the internet

Answer:

=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24

Step-by-step explanation:

Three to Ten  3:10

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

Answer:

1+x=x

Step-by-step explanation:

1 is only one letter

Answer:

Step-by-step explanation:

Answer:

19,500

Step-by-step explanation:

You multiply 325 x 60 and you get 19,500

Answer:Geometric Sequence: an=a1rn−1. Explanation: a6=7×2(6−1)=7×32=224. hope that helped.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

8x-20=5x+1

-5       -5

3x=-20+1

+20 +20

3x=21

3  3

x=7

8(7)-20

FED=36

Answer:

y=1/3x-7/2

Step-by-step explanation:

First get the 2y by itself by adding 2/3x to both sides. Then subtract both sides by 2.

Answer:

A: Walking

Step-by-step explanation:

-It cannot be biking because the constant of proportionality (COP) is 9.5 miles (per hour).

-It cannot be running because the COP is 5 miles (per hour).

-It cannot be swimming because the COP is 4.5 miles (per hour).

he is walking

14 divided by 4 is equivalent to 3.5 the equation being 14/4=3.5 or 3 1/2

Answer:

4200

Step-by-step explanation:

[tex]men = x \\ 360 - 130 = 260 \\ 260 = 2800 \\ 130 = x \\ 2800 \times 130 \div 260 = 1400 \\ total = 1400 + 2800 \\ = 4200[/tex]

9514 1404 393

Answer:

  10080

Step-by-step explanation:

The angle occupied by Women voters is ...

  360° -130° = 230°

Then the angle difference between the two sections is ...

  Women voters - Men voters = 230° -130° = 100°

The number of voters is proportional to the angle they occupy on the pie chart. That means ...

  (difference in voters) / (total voters) = (difference angle) / (total angle)

  2800 / (total voters) = 100° / 360°

Cross multiplying gives ...

  360° × 2800 = 100° × (total voters)

Dividing by 100° gives ...

  total voters = (360/100)×2800 = 10080

The total number of voters in the election is 10080.

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

Answer:

Step-by-step explanation:

If the volume of each piece is V = 1/4s²h then formula for s is 2√V/h

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a solid right square prism is cut into 4 equal pieces parallel to its bases

The volume of each piece is V = 1/4s²h.

We have to solve for s

4V/h=s²

Take square root on both sides

√4V/h = s

2√V/h = s

Hence, if the volume of each piece is V = 1/4s²h then formula for s is 2√V/h

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Answer:

26 1/4 minutes or 1635 seconds

Step-by-step explanation:

Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.

Answer:

-32

Step-by-step explanation: