Set up and solve a system of equations to solve the problem.

Casey wants to buy a gym membership. one gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?

Answers

Answer 1

Answer:6 months 360

Ft: 150+35t=60 t

G(t): 60t

Step-by-step explanation:


Related Questions

If x-2 is a factor of x^2+3x+k, what is the value of k?

Answers

take x-2=0

x=2

put the value of x in the equation

2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10

hope you understand

What is LCD of the fraction 1/3 and 3 1/4

Answers

LCD = 12
Thanks (:
!!!!!!!!
Answer:  The LCD (lowest common denominator) of the fractions "1/3" and "1/4" is:  "12" .
_____________________________________________________

Solve for x: |2x + 6| − 4 = 20

Answers

the answer is x= 9 or x=-15
| 2x +6 |= 16
2x+6 =16  or 2x+6 = -16
2x=10 or 2x= 22
x= 5  or x=11

Graph y-5=-2/3(x+9)
50 points !!!

Answers

Here is the graph. A way you could graph this is notice how this equation is in point-slope form.

A line that passes through (x1, y1) and has slope m
y - y1 = m(x - x1)

Using the equation, you could find out that the line has a slope of -2/3 and passes through the point  (-9,5).

Have an awesome day!

Write a Doubles fact you can use to find the sum. Write the sum 2+3

Answers

3+3 is the answer to this

Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?

Answers

The fourth one (The small one).

Answer:

the smallest

Step-by-step explanation:

allison has 5 times as many baseball cards as football cards.in all,she has 120 baseball and football cards.how many baseball cards does she have?

Answers

If Allison has x football cards she will have 5x baseball cards. 
So x + 5x = 120 
6x = 120 
x = 120/6 = 20 
Allison 5x baseball cards so 20*5 = 100 baseball cards

Out of the total of 120 cards, Allison has 100 baseball cards.

Allison has a total of 120 baseball and football cards.

The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:

= 5 × x

= 5x

The cards in her possession can be found by solving for x:

Baseball cards + Football cards = 120

5x + x = 120

6x = 120

x = 120 / 6

x = 20 football cards

Baseball cards:

= 5x

= 5 x 20

= 100 baseball cards

In conclusion, she has 100 baseball cards.

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help??????

Referring to the Fig. in Question #19, write the equation in standard form of the horizontal line through the point (3,0).

Answers

You'll have to supply Question 19.

Answer:

the answer is y=0

Step-by-step explanation:

Fifteen children voted their favorite color. The votes for red and blue together were double the votes for green and yellow together.How did the children vote?

Answers

5 green and yellow, ten red and blue
15, = 5 x 3 = 3 groups of five children of,  5 groups of 3 children, They voted in groups, their were no doubles.

Julie has a bag of p blue marbles and q red marbles in the ratio 2:3. She adds r blue marbles. The ratio of blue marbles to red marbles is now 2:1. What is the ratio between p and r

Answers

I'm not sure how to answer the question... BUT, I know that the side that says 2 is for the blue marbles and 1 is for the red marbles, meaning that every 2 blue marbles she has equal 1 red marble. 
Sorry I didn't have the answer, hope this helps :/

Find the length of XZ
geometry help

Answers

so all the sides are equal so you'd want to set 2x = (5/2)x - 5. then solve the equation and x = 10

to solves the equation first subraxt (5/2)x from both sides and you wnd up with -0.5x = -5 then divide by -0.5 to get x = 10
hope this helped!

What is the probability that two events, A and B, will occur at the same time?

answer choices:
P(A or B)


P(A and B)


P(A)+P(B)

Answers

P (A and B) is the answer for this question, unless the question asks 'not the same time' Then your answer would be P(A or B).

the product of 3x and (3x+1) is a t least 35

Answers

Product means the sum of two things i.e. the product of 1 and 2 is 3 (1 + 2 = 3)

So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x

40 POINTER PLZ HELP

Answers

I would say the answer to your question is Edge gym in Westport.



this may not be right but hopefully it is.
Have a Good Evening!
-Nana

SungHee empties her piggy bank and finds that she has 200 quaters,150 dimes,and 300 pennies.How much money does she have?Explain

Answers

9,800 coins or somethin
thats what i got.

A function is shown below:

f(x) = (0.07)x

What does the function represent?
A. Exponential growth of 7%
B. Exponential decay of 7%
C .Exponential growth of 93%
D. Exponential decay of 93%

Answers

the function represents an exponential decay of 93%, as the number will enormously decrease in 0.93.

Answer:

D. Exponential decay of 93%

Step-by-step explanation:

We are given an exponential function [tex]f(x) = (0.07)^x[/tex].

We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.

If b is greater than 1, then it would be an Exponential growth and if  b is less  than 1, then it would be an Exponential decay.

Also b= 1+r,  where r is the rate of decay or growth.

For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.

0.07 is less than 1.

Therefore, it would be an Exponential decay.

Now, let us find rate of decay.

1+r = 0.07.

Subtracting both sides by 1, we get

r = 0.07-1 = -0.93.

In percentage it would be 93%.

Therefore, correct option would be

D. Exponential decay of 93%

The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?

Answers

Answer:

16

Step-by-step explanation:

Answer:

B: 16 weeks

Step-by-step explanation:

If we are given the equation y = -27x + 577 and that

x = weeks

y = money left in account

Then you must replace 145 (the money) for y and solve for x (the weeks)

145 = -27x + 577

145 - 577 = -27x + 577 - 577

-432 = -27x

-432/-27 = -27x/-27

16 = x

This means that after 16 weeks Alma will have $145 left in her account

Hope this helped!

GCF 6x and 20xyz please help

Answers

GCF stands for "greatest common factor". This means what is the largest quantity you can divide into 6x and 20xyz without a remainder. First see what is the biggest number you can divide 6 by and also 20 without having a remainder. Next, you should see which variables 6x and 20xyz have in common. variables are the (x,y, and z). Put these two values togther and this will be your GCF.
Final answer:

The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.

Explanation:

The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:

Write down the factorizations of each term, i.e., 6x= 2*3*x and 20xyz = 2*2*5*x*y*z.Find the common factors. In this case, we have 2 and x in common.2*x = 2x, so 2x is the GCF.

Therefore, the greatest common factor of 6x and 20xyz is 2x.

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Find the extraneous solution of the equation |2x−10|=−3x

Answers

|2x - 10| = -3x
Open absolute value symbol
2x - 10 = 3x
OR
2x - 10 = -3x

x = -10
OR
x = 2

Plug them in...
|2(-10) - 10| = -3(-10)
30 = 30
x = -10 is not the extraneous solution.

|2(2) - 10| = -3(2)
6 ≠ -6
x=2 is the extraneous solution.
Have an awesome day! :)
Final answer:

For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.

Explanation:

The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.

An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.

So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.

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Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?

Answers

this equals [f(3) - f(1)]  / [3-1]

=  3^2 + 6(3) + 10 - (1^2 + 6(1) + 10)  / 2

=   (37 - 17) / 2

= 10 Answer

Estimate the amount of gas left in this cars gas tank with a fraction

Answers

It looks a little less than 1/2 or 4/8, so probably 3/8 of the gas is left.

The amount of gas left in this car's gas tank with a fraction of probably 3/8.

What are proper and improper fractions and how to convert mixed fractions to simple fractions?

There is a fraction, containing a numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.

We need to find the approx amount of gas left in this car's gas tank with a fraction.

So, the diagram shows the three levels as empty, half, and then full  

We can see that the mark is a little less than half and greater than empty.

So it should be lies between  0 to 1/2.

Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.

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If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?

Answers

1 Liter = 1.057 quarts 1 kiloliter is 1000 liter = 1057 quarts.
The answer may be 10000

Sara is multiplying two factors,one with one decimal place and one with two decimal places.She says that the product could have two decimal places. is she correct?

Answers

She is incorrect, the product will have 3 decimal places.

Use multiplication to solve the proportion. Y/9=44/54. What is Y

Answers

Y/9=44/54
9(Y/9)=9(44/54)
Y=7 1/3 or 22/3
Final answer:

To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.

Explanation:

In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.

To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.

Multiply 9 by 44 and then divide by 54 to find Y

9 * 44 = 396

396 / 54 = 7.33

So, Y is approximately 7.33

You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?

Answers

answer is 12/4
because 4 sections are there

What do the numbers listed for an element on the periodic table represent?

The smaller number is the mass, and the greater number is the atomic number.
The smaller number is the number of protons, and the greater number is the mass.
The smaller number is the number of neutrons, and the greater number is the number of electrons.
The smaller number is the number of neutrons, and protons and the greater number is the number of electrons.

Answers

Im sure you have your answer by now but would you mind posting the answer

Answer:

The smaller number is the atomic number or the number of protons and the larger number is the atomic mass.

Explained:

The number with a lower value is the number of protons and the number with a higher value is the mass.

 

The periodic table is a tabular arrangement of the chemical elements, ordered by their atomic number (number of protons), electron configurations, and recurring chemical properties.

 

The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

what is 2a^2-14=-24 factored

Answers

The answer:  "(a − 4)(a − 3) = 0" ; 
______________________________________
→ {assuming the question meant to be written as:
       "What is:  2a² − 14x= -24 ; factored?" } ;
______________________________________
Explanation:
______________________________________
Given:  " 2a² − 14x= -24  ";  factor this equation ;
______________________________________
Simplify the equation by dividing the entire equation (each side) by "2" ;
______________________________________
               { 2a² − 14x = -24 } / 2 =

              a² − 7 = -12 

Now, add "12" to each side of the equation:
____________________________________
              a² − 7x + 12 = -12 + 12 ;

to get:
                  a² − 7 + 12 = 0 ;
__________________________________
Now, what factors of "12"; when added together, equal "-7"?

6, 2 = 8
-6 -2 = -2, 
12, 1 = 13,
-12 -1 = 12
4, 3 = 7,
-4 -3 = -7 .
________________________________________
So;   "a² − 7x + 12 = 0" ;  factors to:
________________________________________
       "(a − 4)(a − 3) = 0 " .
________________________________________
        {The solutions are:  a = 4 ; and:  a = 3} .
________________________________________





Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:

Color of Star

Number of Times Pulled

Pink
17

Yellow
19

Violet
24

Heads 26

Tails 34

Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60

Answers

17/60x34/60=578/3600
So I think it is A. 

Hope I helped you (: 

What transformation takes f(x)= 4x−7 to g(x)= −4x−7 Question 1 options:
a reflection across the x-axis
a vertical shift 8 units down
a horizontal shift 8 units right
a reflection across the y-axis

Answers

A refelction across the y-axis
 Hope this helps:)

Answer:

A reflection across the x-axissssss

Step-by-step explanation:

I hope this helps!

- sincerelynini

What is the value of the digits 5 in 75

Answers

The value of the digit 5 in 75 is in the ones place, because there are seven tens, and five ones.
It's 5. We know this because there are 5 ones in the ones place. Five ones is 5
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