Two rock climbing gyms offer a two-month “trial period” training program. The first gym charges $4 per climbing session plus a one-time $50 fee. The second gym charges $6 per climbing session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?

Write a system of equations you can use to find at what number of sessions the cost of the trial period program at each of the gyms is exactly the same.

Answers

Answer 1

Answer:

the second one

Step-by-step explanation:


Related Questions

Determine whether the following triangles are congruent. If they are congruent, give a congruency statement.

Answers

Answer:

Congruent, ASA Congruency Theorem

Step-by-step explanation:

HGI and KJI are vertical angles, therefore equalAngle H and K are congruentGJ bisects HK at Point I, therefore segments HI and KI are congruent

Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x? One-half 2 8 12

Answers

Answer:

8

Step-by-step explanation:

Its right on edge

Answer:8

Step-by-step explanation:

The blue dot is at what value on the number line?

Answers

Answer: The blue dot is at -22

Step-by-step explanation:

The distance between two line is shown to be 6, so you subtract six from -16 to find the value of the dot.

Answer:

-22

Step-by-step explanation:

the distance between -10 and -16 is 6 and 6 divided by 2 is 3. I add -6 to -16 to get -22

If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
a. 18°
b. 72°
c. 90°
d. 108°

Answers

Answer:

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

Answer:

The answer is 18.

Step-by-step explanation:

90-72=18

Troy has to order 8 pounds of ham,15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy‘a order?

Answers

Total cost is $93.75

Answer:

The answer is $93.75

Step-by-step explanation:

Solve for x.
Enter the solutions from least to greatest.
(-5x + 4)(x – 3) = 0

Answers

Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

find the slope of the line passing through the points (-9,-6) and (-4,5)​

Answers

Answer:

11/5

Step-by-step explanation:

its 11/5

Answer:

[tex]m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-9,\:-6\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:5\right)\\\\m=\frac{5-\left(-6\right)}{-4-\left(-9\right)}\\\\m = \frac{5+6}{-4+9}\\\\m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

3.​ ​A solid cylinder has a radius of 6cm and a height of 20cm.

​a.​ ​Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.

b.​ ​The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.

Answers

Answer:

a) 2260 cm³

b) 3390 grams

Step-by-step explanation:

3.

a)The radius of the solid cylinder = 6cm

The height of the cylinder is =20 cm

The volume = π*r²*h

The volume = 3.14 * 6²*20 =2260 cm³

b) Density of the material = 1.5 g/cm³

  Volume of the cylinder = 2261 cm³

  Mass of the cylinder = Density * Volume

  Mass of the cylinder = 1.5 * 2261 = 3390 grams

There are twelve shirts in your closet, three blue, five green, and four red. You randomly select one to wear. It is blue or green.

Answers

Answer:

green

Step-by-step explanation:

green has a higher possible of being picked over blue

Which statements are true of all squares? Select three options.

The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals are congruent to the sides of the square.
The diagonals are twice the length of one side of the square.

Answers

Answer:

The diagonals are perpendicular.

The diagonals are congruent to each other.

The diagonals bisect the vertex angles.

The statements that are true of squares include:

The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.

What's a square?

It should be noted that a square simply means a shape that has four sides equal. The angles are also 360° since they're 90° each.

In squares, the diagonals are perpendicular and the diagonals are congruent to each other.

Learn more about square on:

https://brainly.com/question/12831058

Help me please ASAP will mark brainliest!!

Answers

Hey you’ve got it right on ur screen.

How to solve this additional problem
1/(x+2)+x^2+x-2

Answers

Answer:

1/x^2+2x

Step-by-step explanation:

PLEASE HELP!! I’L MARK AS BRAINLIEST!!
The flow of water out of a bathtub would best be described as which type of data?
A. Discrete
B. Continuous
C. Linear

Answers

It’s continuous:)
Hope this helps!

The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)

Answers

Answer:

25= (x-2)² + (y+4)²

Hope this helps!!!

Answer:

[tex](x-2)^2+(y+5)^2=36[/tex]

Step-by-step explanation:

The standard form of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:

[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]

Simplify:

[tex](x-2)^2+(y+5)^2=r^2[/tex]

Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:

[tex](-4-2)^2+(-5+5)^2=r^2[/tex]

Evaluate:

[tex](-6)^2+(0)^2=r^2[/tex]

Evaluate:

[tex]36=r^2[/tex]

Hence, the radius squared is 36.

We do not actually need to solve for r, as we will square it anyways.

We will substitute 36 for r squared. Hence, our equation is:

[tex](x-2)^2+(y+5)^2=36[/tex]

The radius will thus be 6 units.

what is the solution to this equation?
x-4=17
A. x=13
B. x=11
C. x=23
D. x=21​

Answers

Answer:

d. x=21

Step-by-step explanation:

x-4=17

x-4 +4=17+4

x=21

124.44 is 34 percent of what number?​

Answers

Answer:

out of 100

Step-by-step explanation:

The Math Team sells crunchy and fruity trail mixes to raise money. The ratio of fruit to nuts in each mix and the price they charge for an 8-oz (or -cup) bag of each mix are given in the table below. [Hint: The ratio of fruit to nuts in the crunchy trail mix is 1:3. So, of each bag is fruit and of each bag is nuts.]

Ratio of fruit to nuts Price of an 8-oz (or cup) bag
Crunchy trail mix 1:3 $2.50
Fruity trail mix 5:3 $3.50
They have 30 cups of fruit and 50 cups of nuts to use in their trail mixes. So, they need to know how many bags of each type of mix they should they make. They let c represent the number of bags of crunchy trail mix and f represent the number of bags of fruity trail mix. Which set of inequalities below represents the conditions?

Answers

The conditions would be represented by the following set of inequalities:

c + 5f ≤ 60.3c + 3f ≤ 100.c ≥ 0. f ≥ 0.

What is an inequality?

An inequality can be defined as a mathematical relation for comparing two (2) or more integers or variables in an equation based on any of the following:

Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).

In this scenario, the ratio of fruit to nuts in the crunchy trail mix is equal to 1:3. Therefore, 1/4 of each bag contain fruits while 3/4 contain nuts.

Mathematically, these conditions would be represented by the following set of inequalities:

1/2 × (c + 5f) ≤ 30  ⇒ c + 5f ≤ 60.

1/2 × (3c + 3f) ≤ 50  ⇒ 3c + 3f ≤ 100.

c ≥ 0. f ≥ 0.

Read more on inequality here: https://brainly.com/question/24372553

#SPJ2

SOME ONE HELP PLZ CALCULATE THE CIRCUMFERENCE AND AREA OF A CIRCLE

Answers

Answer:

qwertyu

Step-by-step explanation:

wertyuioiuytrewqertyuioiuytrewertyuiouytrewrtyuiuyt

yuiuytrertyuiuytrewrtyutrewertyuytrertyuytre

rtyuytrtyuytrertytrertytretytrertytrerty

rertytrertytrtytrertytrertytrerty

rertrertrertrertytrertyrertr

ertrertrertretyretytr

rertretrrtret

rtrtrtrtr

trertr

trt

t

Help me with this question pleaseee

Answers

Answer:

3x=4x+19 (extarior angels of parallel )

3x-4x=19

_1x=19

x=_19

Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randomly selects a bag and then draws one marble at random. It is blue. What is the probability that it came from Bag B?
Can you explain why the answer is 77/113? and actually answer the question if you don't know, dont post an answer

1

Answers

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.00032, which shows a valid step in the process of calculating the pH of the substance?a. pH = - log 0.0032.b. - log(3.2.10-4)= pH.c. log(3.2.10-4)= pH.d. log(3.2.10*) = -pH.e. pH = log 0.00032.

Answers

Answer:

-log(3.2•10^-4)=pH

Step-by-step explanation:

The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.

According to the question;

The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions.

Therefore, when H = 0.00032

pH = - log 0.00032

However; 0.00032 can be written in standard form as; 3.2.10-⁴

Therefore, Choice B is correct.

Read more:

https://brainly.com/question/17093969

A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The​ height, h, of the pebble after t seconds is given by the equation -16t^2+24t+1200 . How long after the pebble is thrown will it hit the​ ground?

Answers

Answer: 9.44 seconds

Step-by-step explanation:

A movement equation in the vertical axis is usually written as follows:

p(t) = (-g/2)*t^2 + v0*t + p0

where:

g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2

v0 is the initial velocity, in this case, 24 ft/s

p0 is the initial height, in this case, 1200ft

Then, when p(t)  = 0ft will mean that the pebble will hit the ground, then we need to calculate:

p(t) = -16t^2+24t+1200  = 0

and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:

[tex]t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}[/tex]

Then the two solutions are:

t = (-24  + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)

t = (-24 - 278.2)/-32 = 9.44 seconds

Then the pebble needs 9.44 seconds to hit the ground

If you have 3 cups of pineapple juice, how many total cups of lunch can you make?

Answers

About 6 that’s what I came up with

Which statements are TRUE? Select all that apply.

A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answers

Answer:

A, B, D are true

Step-by-step explanation:

A)  Speed = Distance travelled ÷ time taken

                 = 112 ÷ 1.75

                  = 64 miles per hour

True

B) Cost of 6 pens = $7.74

   Cost of 1 pen    = 7.74 ÷ 6 = $ 1.29

   Cost of 7 pens = 1.29 * 7   = $ 9.03

TRUE

C) Speed = 57 miles per hour

4 hour 10 minutes = 250 minutes

Distance traveled in an hour  = 57

Distance traveled in 250 minutes = (57* 250)   ÷ 60 = 237.50 miles

FALSE

D) Cost of 17 cans = $ 38.59

   Cost of 1 can      = 38.59 ÷ 17 = $2.27

   Cost of 3 cans    = 2.27 * 3 = $ 6.81

TRUE

e) Cost of two dozen eggs = $ 8.40

    Cost of an egg                = 8.40 ÷  24  =   $ 0.35

FALSE

Lenny buys a popcorn and soda at the movies. A large popcorn is $7 and the drink is $3.50. Lenny has to also pay tax of 6%. How much will he pay in total?

Answers

Answer:

i think its 10.71 i dont know if i got it right your welcome

Step-by-step explanation:

Answer:

$10.71

Step-by-step explanation:

Mireya has breakfast at a restaurant. Her bill was $9.00. Mireya plans to leave a 20% tip. How much does she need to leave for the tip?

Answers

The answer is 1.80$ in tax

9 * .20 = 1.80
$1.80 is the amount that you would pay for a tip

Doctors nationally believe that 74% of a certain type of operation are successful. In a particular hospital, 57 of these operations were observed and 47 of then were successful. At alpha is equal to 0.05, is this hospital's success rate different from the national average

Answers

Thanks for the points
You deserve a real answer
Ask your teacher

cv6gv uig. ih 8h 88h oh 9h​

Answers

Answer:

what

Step-by-step explanation:

Answer:

HAVE A FANTASTIC DAY!!!XD

Step-by-step explanation:

BRAINLIEST WOULD BE MUCH APPRECIATED!!!

HELP PLEASE!!
Mrs. Newman has $15 to buy birthday cards that cost $1.40 each.
Create a set of five ordered pairs that shows the amount of money she spends as a function of the number of birthday cards she buys.
( ____, ____ ), ( ____, ____ ), ( ____, ____ ), ( ____, ____ ), ( ____, ____ ),
Can Mrs. Newman buy 12 birthday cards? Why or why not?
What are 12 times 1.40? Is $16.80 less than $15?
Challenge: Write a function rule (equation) that shows the relationship between the number of cards she buys (x) and the amount of money she spends (y).

Answers

Answer:

I'm dumb hwhsbdbshagebsvxv

what is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].

Answers

Answer:

Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt

Step-by-step explanation:

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