Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?

Given:

For gym A, initiation fee = $12 and cost = $10 per month.

For gym B, initiation fee = $20 and cost = $6 per month.

To find:

The equation that aims to find when these two gyms will cost the same amount of money,

Solution:

Let the number of months be x.

Cost function = Initiation fee + (cost)(x)

Cost function for gym A is

[tex]f(x)=12+10x[/tex]

Cost function for gym B is

[tex]g(x)=20+6x[/tex]

Cost of these two gyms are equal if f(x)=g(x).

[tex]12+10x=20+6x[/tex]

Therefore, the required equation is [tex]12+10x=20+6x[/tex].

On solving this equation, we get

[tex]10x-6x=20-12[/tex]

[tex]4x=8[/tex]

[tex]x=2[/tex]

Hence, after 2 months the cost of these two gyms are same.

Answer:

y = 1500 + 800x

Step-by-step explanation:

This is the answer because Elisa charges 1500 dollars no matter what. That value is not dependant on anything. Every hour she is with the client is 800 dollars. That is why it is represented as 800x. X being the amount of hours. You add the two together to find how much Elisa's services cost.

Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

A is 163 and C is 143

Answer:

B. 2

Step-by-step explanation:

Got Correct On MyPath.

The order of rotational symmetry for a rhombus is 2.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral.

In a rhombus, opposite sides are parallel and the opposite angles are equal.

All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles

Rotational Symmetry of a Rhombus has four equal sides but of varying angles.

A rhombus has two lines of symmetry (vertical and horizontal), an order of two, and the angle of rotation of 180 degrees

Hence,  the order of rotational symmetry for a rhombus is 2.

To learn more on Polygons click:

https://brainly.com/question/24464711

#SPJ2

Step-by-step explanation:

[tex]14y - 2 = 40 > > 14y = 42 > > y = 3[/tex]

Answer:

y=3

Step-by-step explanation:

Remember PEMDAS

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?

Answer:

C)

Step-by-step explanation:

y+3=7x+7•−2

Multiply 7 by −2.

y+3=7x−14

Rewrite the equation with the sides flipped.

7

x

−

14

=

y

+

3

Answer:

-4

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

simplify 2^6 --> 64

find the cube root of 64,

y=4

Answer: 132

Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.

Answer:

132

Step-by-step explanation:

I did it on a Mathcounts competition

Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Step-by-step explanation:

Given parameters:

    Temperature at 8pm = 6°C

    Temperature at 2am = decreased by 13°C

Unknown:

Temperature at 2am

Solution:

Since this is a temperature decrease problem, the temperature at 2am should be lesser.

 Temperature at 2am = Temperature at 8pm - Temperature decrease

                                    = 6°C - 13°C

                                     = -7°C

Answer:

x=25

Step-by-step explanation:

All angles in a triangle add up to 180°, so add all the angles together

(2x+15)+(x+10)+(3x+5)=6x+30

So that means... 6x+30=180°

Get rid of the 30, so... 180-30=150

6x=150°

Divide each by 6

6x/6=x

150/6=25

x=25

Sorry if that was hard to understand!!

Answer:

14) F

15) D

Step-by-step explanation:

14

You have 80 minutes on a CD, minus the time you burned would equal the time you have left on the CD.

15

To find mark down, you multiply the percentage to the original price, and then subtract the answer to the original price.

Answer:

1a  expression

1b equation

1c equation

1d expression

1e expression

1f equation

Step-by-step explanation:

Equations have an equals sign, while expressions do not.

1a  expression

1b equation

1c equation

1d expression

1e expression

1f equation

Answer:

A Expression B Equation 2 1/4 C Equation 3 2/3 D Expression E Expression F Equation  

Step-by-step explanation:

Answer:

The answer of this question is option A

Answer:

A and E

Step-by-step explanation:

This is an example of the distributive property.

28n-25 is the base

E shows 7(4n-5)

7*4=28=28n

7*5=35

7(4n-5)=28n-35

Answer:

L = [tex]5 \frac{1}{6} cm = \frac{31}{6} [/tex] cm

B = [tex]2 \frac{2}{7}cm = \frac{16}{7} [/tex]cm

Area = [tex] \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} [/tex]

[tex]11 \frac{34}{42}cm^{2} [/tex]

[tex] = 11\frac{17}{21}cm^{2} [/tex]

Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

identity property in multiplication goes to the second option

commutative property goes to the first option

identity property in addition goes to the last option

associative property goes to the fourth option

distributive property goes to the third option

I may have gotten some wrong , if I did I am very sorry,if i didnt get any wrong, then I hoped this helped!

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

Answer:

-47

Step-by-step explanation:

Answer:

-4 - 32i

Step-by-step explanation:

Got it right on the test