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

Casey wants to buy a gym membership. One gym has a $60 joining fee and costs $30 per month. Another gym has no joining fee and costs $50 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:

The first Gym when he joins we will have to pay 60 dollars and in a 30 witch cost 90 dollers. but the second gym cost 50 $ per month so the first gym in a year he will pay 450$ and the second one 600 so the first one is cheeper.

Step-by-step explanation:

Answer 2
y = 30x + 60
y = 50x

30x - y = -60
50x - y = 0
solve the system.
(3,50)
he would pay the same amount at 3 months in, for $50.


Related Questions

I NEED HELP!!! ILL MARK U BRAINLIEST AND GIVE YOU 30 PIONTS
Which statement about the lines below is true?

4y = −16 and 3x = 27

Select all that apply.
A. Line 4y = −16 is horizontal.
B. Line 3x = 27 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value. ITS MULTIPLE CHOICE

Answers

Answer:

The statements which are true:

A. Line 4y = −16 is horizontal.

B. Line 3x = 27 is vertical.    

D.  For either line, one of the coordinates of all the points is always the same value.                

3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y is the profit. Determine the number of units that should be sold to yield the maximum profit.

Answers

9514 1404 393

Answer:

  350,000

Step-by-step explanation:

The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...

  x = -(140)/(2(-0.0002)) = 1,400,000/4

  x = 350,000

350,000 units should be sold to maximize profit.

[tex]x^{7} x x^{4}[/tex]

Answers

Answer:

x12

Step-by-step explanation:

x^12 x raised to the 12th power is the answer

What’s the answer to the inequality? Will give brainliest!

Answers

Answer:

She must ride 4 or more times

Step-by-step explanation:

3t+ 10 ≥22

Subtract 10 from each side

3t+ 10-10 ≥22-10

3t ≥12

Divide each side by 3

3t/3 ≥12/3

t ≥4

She must ride 4 or more times

Which expressions are equivalent to the expression 4a – 6b + 3c?
a + 3(a − 2b + 3c)
4a + 3(2b + c)
2(2a − 3b + c) + c
2(2a − 3b) + 3c

Answers

Answer:

Third one: 2(2a-3b+c)+c

Step-by-step explanation:

Hope this helped:)

The graph of y=f(x) is shown below. Determine the value of x when f(x)=1?

Answers

Answer:

Answr is: -2

Step-by-step explanation:

On the coordinate grid, the value of x when f(x)=1 is A

How to determine the value of x?

The graph is given as:

y = f(x)

When f(x) = 1, we have:

y = 1

On the coordinate grid,

When y = 1, the value of x is 3

Also, the point A is located at (3,1)

Hence, the value of x when f(x)=1 is A

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Can y’all help give me the answer

Answers

The answer is Y^2+4
You times y by it’s self to get y squared
Times -2 *-2 to get 4 then put it together

-1.6x - 3.2y=-24
2.6x + 2.6y = 26
The solution is (

Answers

Answer:

[tex]x=5\\y=5[/tex]

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

[tex]x=-\frac{3.2y-24}{1.6\\}[/tex]

2.6x+2.6y=26

−2.6y+39=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

​​

Which of the following is true regarding the graph of the function f (x) = e"?
A The domain is I > 0 and the range is y > 0.
В.
The domain is a > 0 and the range is all real numbers.
C
The domain is all real numbers and the range is y > 0
D.
The domain is all real numbers and the range is all real numbers.

Answers

I think it’s gonna be C

The domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

What are a range and domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given function  [tex]e^x[/tex] when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.

Therefore the domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

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Which choices are equivalent to the quotient below? Check all that apply square root 75/15​

Answers

Answers & Explanations:

The answer to A. is incorrect.

The answer to B. is correct.

The answer to C. is incorrect.

The answer to D. is incorrect.

The answer to E. is correct.

The answer to F. is correct.

hope this helps :)

The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ √(75/15)

Simplify the expression, we have

⇒ √(15/3)

⇒ √5

Or √(25/5)

Then the correct options are B, E, and F.

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What is the greatest common fraction of 9 12 and 6

Answers

Answer:

Step-by-step explanation:

GCF of 9,12 and 6 is 3. 3 can go into both evenly

Answer:

the answer is 3.

Step-by-step explanation:

3"2=6

3*3=9

3*4=12

hope this helps and feel free to give brainiest

What is the quotient of 154, 504 divided by 28 ?

Answers

Answer:

5518

Step-by-step explanation:

The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The numbers are 154,504 and 28

From the question:

= 154,504 ÷ 28

Or

= 154,504/28

After applying the arithmetic operation:

= 5518

Thus, the quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

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Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution

Answers

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

find the quotient : 83)967

Answers

Answer:

quoitent will be 0.086368

hope it help u dear

How do you subtract fracions and mixed fractions? Write your answer on
your paper​

Answers

Answer:

when u subtract fractions u have to make sure they have a common denominator so u can subtract evenly so say I have 2/5 - 4/6 i have to make a common  denominator of 30 so the 2/5 would turn to 12/30 and the 4/6 would be 20/30 then you do 20-12 to get 8/30 and with mixed fractions u do the same exept  multiply the denominator by the whole then add the neumorator to the number u just got and add them together and then subtract.  

hope this helped :)    

Step-by-step explanation:

During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.How much will a group of 12 students save by choosing the science center?

Answers

Answer: They will save $6

Step-by-step explanation:

Science Center

There are 12 students and tickets are 3 for $36.75. There are 4 groups of 3 students, so we can find the price for the science center by multiplication:

4 x 36.75 = 147

Zoo

There are 12 students and tickets are 4 for $51. There are 3 groups of 4 students, so we can find the price for the zoo by multiplying, too:

3 x 51 = 153

To find out how much a group of 12 will save by choosing the science center we subtract

153 - 147 = 6

They will save $6

Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?

Answers

Answer:

3 hours

Step-by-step explanation:

11 / 33 =3

11 x 3 = $33

Answer:

3

Step-by-step explanation:

If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.

help find the missing side length in the image below

Answers

56

20/35 = 35/x

20x = 32(35)

Divide both sides by 20 to solve for x

X = 1120/20

X = 56

The missing side length of the given image is 56 so x = 56 will be the correct answer.

What is a line segment?

A line section that can connect two places is referred to as a segment.

Lines are very useful and common in geometry we daily use them.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, the line is a straight figure which has zero width and infinite length but if we take a segment then it is called a line segment which will be finite.

Given in the image 3 lines are parallel and intersect two lines that are randomly inclined.

Let's say the missing length is x

By geometrical similarity rule

x/32 = 35/20

x = 32 × 35/20

x = 56 hence 56 will be the missing side length of the given figure.

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find the value of x 6/5 = - 18/x​

Answers

Answer:

-1/5

Step-by-step explanation:

6/5=-18/x

6/5×-1/18=x

-1/15=x

Answer:

-15

Step-by-step explanation:

[tex]\frac{6}{5} = \frac{-18}{x}[/tex]

cross multiply

6 × x = -18 × 5

6x = -90

x = -90/6

x = -15

hope this helps you!

A sketch of y= ax² + bx + c is shown

Answers

Answer:

Positive, Negative, One negative and one positive

Step-by-step explanation:

a refers to whether the parabola opens upwards/downwards

c refers to y-inercept

solutions to the curve is dependent on the x intercepts

This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!

The true statements are:

(a) is positive(c) is negativeone negative and one positive.

The equation is given as:

[tex]\mathbf{y =ax^2 + bx + c}[/tex]

The graph is an illustration of a parabola.

When a parabola opens up, then the value of (a) is positive

c represents the y-intercept i.e. the point where the graph crosses the y-axis.

From the sketch, the graph cross the y-axis below the origin.

So, the value of (c) is negative

The graph crosses the x-axis, at either sides of the origin.

So, the solutions are one negative and one positive.

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(picture included with ONE question ^^^^^) only part a

Answers

Answer:

A. y = 1.5m + 7

B. at 7 months the baby will weigh 17.5 pounds

C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table
Approximate Value=100$
Exact Value= 75$
Error = 25$
Absolute Error= 25$
Ratio= e
Percent Error= f

What is the ratio?
e =________
A. 25/100
B. 25/75
C. 75/100
D. -25/75
What is the percent error?
f =_______
A. 33%
B. 25%
C. 75%
D. 83%​

Answers

Answer:

e= 25/75

f= 33%

Step-by-step explanation:

I got it right!!

Answer:

e = 25/75 ?

f = 33%

Step-by-step explanation:

i did this and i think i got right, but let me know if its wrong :)


i rlly need help!!!!!!!

Answers

The correct answer is the 2nd one

-18y+7yz-4z how many terms does this expression have?​

Answers

Answer: 4

Step-by-step explanation:

Simplify, using distributive property and then combing like terms.
4m-3(2m+1)

Answers

Step-by-step explanation:

4m−3(2m+1)

Distribute:

=4m+(−3)(2m)+(−3)(1)

=4m+−6m+−3

Combine Like Terms:

=4m+−6m+−3

=(4m+−6m)+(−3)

=−2m+−3

Answer:

=−2m−3

Answer:

-2m-3

Step-by-step explanation:

leave 4m alone in the beginning

distribute -3 to 2m and 1

-3(2m+1)

(-6m-3). Then put the 4m behind the 6

4m-6m-3(subtract like terms)

-2m-3 (final answer)

Why does it make sense to describe an equation that has infinitely many solutions as an identity?

Answers

Because for any value of the valuable the equation is true and it follows

Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

What is infinite solution of any variable?

In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.

Now,

For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.

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Describe how
factoring can help you find the x-intercepts
of the graph of the quadratic function
y=x2 - 4x + 3.

Answers

See attachment for answer and explanation:

The x-intercepts of the graph of the quadratic function is 1, 3.

What are quadratic equations?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0

Now the quadratic function is,

y = x² - 4x + 3

Now for x-intercepts, y = 0.

⇒ x² - 4x + 3 = 0

Factoring we get,

⇒ x² - 3x - x + 3 = 0

⇒ x(x - 3) - 1(x - 1) = 0

⇒ (x - 1) (x - 3) = 0

Thus we get,

x = 1, 3

this is the required x-intercepts of the graph of the quadratic function.

Thus, the x-intercepts of the graph of the quadratic function is 1, 3.

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Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
answer in terms of .
23 cm
22.8 cm
The lateral area is
It cm?
The surface area is
a cm?

Answers

9514 1404 393

Answer:

262.2π cm²392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:

y=-0.0625x+1.25x +5.75 where x and y are measured in feet.



a) Will the truck fit under the arch? Explain (with numerical details).

BIRD



b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?

Answers

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

Is -59+8 positive or negative

Answers

Answer:

Negative

Step-by-step explanation:

It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.

-59+8 = -51

Hope this helps ya!

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