Martin is interested in joining a gym and has researched the cost of two gyms close to his
house Gym A has a $50 registration fee and costs $30 per month. Gym B has a $100
registration fee and costs $10 per month. The cost of joining each gym can be modeled by the
expressions below, where m represents the number of months.
• Gym A: 30m + 50
• Gym B: 10m + 100

Answers

Answer 1

Answer:

I suppose that you want to find which gym will be cheaper for you.

We have two equations:

• Gym A: 30m + 50

• Gym B: 10m + 100

First, let's find the value of m such that both gyms cost exactly the same:

30*m + 50 = 10*m + 100

Let's solve this for m

30*m - 10*m = 100 - 50

20*m = 50

m = 50/20 = 2.5

now:

for m < 2.5, Gym A will be cheaper, because the y-intercept is smaller.

for m > 2.5, Gym B will be cheaper, because the slope is smaller,

Then depending on the number of months that Martin wants to go to the gym, he can se the info above to pick the one that is cheaper.


Related Questions

3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.

Answers

Answer:

The ratio of men to women in this situation is 5/6.

Step-by-step explanation:

If you rewrite this as a percentage, it is 83.33%.

And also the alternative form of the answer is 0.83.

Hope this helps and if you could mark as brainliest. Thanks!

Answer:

125 : 150

25 : 30

5 : 6

Step-by-step explanation:

men ' s ratio is 5 while women' s is 6

Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?

Answers

Answer:

The answer is "[tex]\frac{1}{25}[/tex]"

Step-by-step explanation:

They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.

Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.

Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?

Answers

Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:


Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answers

6 4/5 = 6.8
4 1/2 = 4.5

6.8-4.5= 2.3

Answer: 2 3/10 more pounds of treasure

for what values of x is x2+2x=24 true?

-6 and -4
-4 and 6
4 and -6
6 and 4 ​

Answers

Answer:

It is actually choice c

Step-by-step explanation:

I took the test

Answer:

c

Step-by-step explanation:

banlest plzz

What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answers

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33

What are the zeros of the function? h(t)=(t -4)(t+8)

Answers

Find when h(t) = 0
0 = (t-4) (t+8)
t = 4, t = -8

Answer:

4 and -8

Step-by-step explanation:

Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0

[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]

3
Sean scored 48 points in 16 basketball games
last season. Approximately how many points did
Sean average per game?
A. .33
B. 3
C. 64
D. 768

Answers

Answer: a

Step-by-step explanation:

80+300????????????????​

Answers

Answer:

380

Step-by-step explanation:

300+80=380

Hope that helped.

Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,

[tex]m_1\times m_2=-1[/tex]

Line given in the question is,

x - 2y = 3

-2y = 3 - x

[tex]y=\frac{1}{3}x-1[/tex]

Slope of this line is,

[tex]m_1=\frac{1}{3}[/tex]

Therefore, slope of the perpendicular line to the given line will be,

[tex]\frac{1}{3}\times m_2=-1[/tex]

[tex]m_2=-3[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

Learn more,

https://brainly.com/question/20894159

The product of two consecutive even integers is 2208. What is their sum?

Answers

Answer:

±94

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Solving Quadratic EquationsConsecutive Integers

Step-by-step explanation:

Step 1: Define

x  (1st consecutive term)

x + 2 (2nd consecutive term)

Step 2: Set up equation

x(x + 2) = 2208

Step 3: Solve for x

Distribute x:                                   x² + 2x = 2208Rewrite in Standard Form:           x² + 2x - 2208 = 0Factor quadratic:                          (x - 46)(x + 48) = 0Find roots:                                     x = -48, 46

Step 4: Identify Consecutive Integers

Possibility 1: x = -48

1st Consecutive Even Term: -48

2nd Consecutive Even Term: -48 + 2 = -46

Possibility 2: x = 46

1st Consecutive Even Term: 46

2nd Consecutive Even Term: 46 + 2 = 48

Step 5: Find sums

Possibility 1: x = -48

-48 + -46 = -94

Possibility 2: x = 46

46 + 48 = 94

6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n​

Answers

Answer:C it’s bc it says at least 12 time the number subtracted from 76

Step-by-step explanation:

If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly

Type the following fractions in order from greatest to least:

5/4, 4/10, 5/12, ¼, 11/12


Write the decimals in the boxes from greatest to least:

0.5, 0.91, 0.04, 0.89, 0.51

Answers

Answer:

Just put the greatest number first and then the second greatest etc

Name a multiple of 13 that is between 30 and 100.

Answers

Answer:

39

Step-by-step explanation:

just did 13 plus 13 plus 13

Which are equivalent expressions for root(3, 27 ^ 2) Select all that apply.

Answers

Answer:

the second one gives the same answer as the one in the question

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answers

Answer:

multiply 1 1/3 by 8x6 and see how many packages

4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?

Answers

Answer:

20%

Step-by-step explanation:

you  take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%

Answer:

20%

Step-by-step explanation:

2000-1600=400

400/2000=1/5=20%

40x + 44 = 38x + 44

Answers

Answer:

x = 0

Step-by-step explanation:

40(0) + 44 = 38(0) + 44

44 = 44

When x = 0 the equation is true

Answer:

x=no solution

Step-by-step explanation:

40x+44=38x+44

-44          -44

40x=38x

on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?

Answers

Answer:

3 hours

Step-by-step explanation:

20 ÷ 5 = 4 mph

12 ÷ 4 = 3 hours

hope this explanation makes sense! :)

Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

On the first day of camp, Sara hiked 20 miles in 5 hours.

The rate = 20/5 = 4 miles per hour

Let x be the time taken by Sara to hike 12 miles

As its rate of speed of Sara is 4 miles per hour

x = 12/4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x = 3 hours

Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?​

Answers

Answer:

Perimeter = 23.692 units

Step-by-step explanation:

Perimeter = sum of all his sides

then:

Perimeter = 4.15 + 7.092 + 12.45

Perimeter =  23.692 units

Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?

Answers

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Learn more : brainly.com/question/20816424

A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.

Answers

Given:A rectangle has a height of 4 and a width of x² + 3x + 2.

To find:The area of the entire rectangle.

Solution:

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]

Therefore, the answer is 4x² + 12x + 8.

3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.

A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9​

Answers

Answer:

it is C

Step-by-step explanation:

If the ratio of circles to triangles you will only need to write ratios in one form of your choice

Answers

Answer:

Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle

Step-by-step explanation:

least to greatest. 3/20 45% 1/5 7.5% Someone please answer this I need it ASAP​

Answers

Answer:

3/20, 7.5%, 1/5, 45%

A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?

Answers

Answer:

90%

Step-by-step explanation:

We know that

9/10

is the same as

9÷10

Then using

Long Division for 9 divided by 10

gives us

0.9

Converting our number to a percentage:

0.9×100

=90%

(Note this isnt rounded up.)

rosy wants a large picture window put in her living room of her new house. the window is to be square with an area of 49 square feet. how long should each side of the window be

Answers

7

the square root of 49 is 7

Answer this math question and ill give brainliest

Answers

Answer:

6 squares!

Hope this helped! :)

6 units (unless it’s there’s already a unit then just use that unit. it’s most likely cm)

Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.

Answers

Answer:

A C E

Step-by-step explanation:

I'm a little late but I hope this still helps!

Answer:

yeah what he said. A C E

Step-by-step explanation:

I just did the assignment and its right

I NEED HELP PLEASE !!

Answers

Answer:

Step-by-step explanation:

Well looking it up on my link bar if you look up on google there's an answer key which for me its the second link on google!!

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