Maria pays a yearly fee of $3 to her swimming club and $2
per lesson. Carmen pays a yearly fee of $5 and $2 per lesson.
After how many lessons will Maria and Carmen have paid the
same amount? Write an equation and explain your answer.

Answers

Answer 1

Answer:

They will have never paid the same amount

Step-by-step explanation:

the equation 3+2x=5+2x simplifies to 3=5 which is not a true statement

Answer 2

Carmen always pays a higher amount than Maria where the fee for each lesson is the same for both Carmen and Maria.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maria:

Yearly fee = $3

Fee per lesson = $2

Carmen:

Yearly fee = $5

Fee per lesson = $2

The equations to represent the amount A after x lesson:

Maria:

A = 3 + 2x

Carmen:

A = 5 + 2x

The number of lessons at which both have paid the same amount:

3 + 2x = 5 + 2x

0 = 2

There is no solution.

Thus,

Carmen always pays a higher amount than Maria where the fee for each lesson is the same for both Carmen and Maria.

Learn more about equations here:

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Related Questions

Prove: ∠JNM ≅ ∠NMI

According to the given information in the image, segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem. Because ∠LNK and ∠NMI are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠JNM is congruent to ∠NMI by the Transitive Property of Equality.

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Vertical Angles Theorem
Same-Side Interior Angles Theorem

Answers

Answer:

Alternate Interior Angles Theorem

Step-by-step explanation:

To put it simply; they are both internal angles. N is the internal line and as both JNM and NMI are angles that use the line N both are interior angles. They are clearly on oppisite sides of the line N, making them "Alternate Interior Angles".

Just took the test. :)

The answer is the Alternate Interior Angles Theorem option first is correct.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

The missing figure is attached in the picture please refer to the picture.

We have:

Segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem

As we know,  both angles have internal angles. Since JNM and NMI are angles that both employ the internal line N, they are both interior angles. N is the internal line.

Thus, the answer is the Alternate Interior Angles Theorem option first is correct.

Learn more about the vertically opposite angles here:

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What is the solution to this equation?
5x - 32x - 9

Answers

Answer:

x = -2 :)

Step-by-step explanation:

5x - 3 = 2x - 9

3x = -6

-6/3 = -2

Answer:

x = -2

Step-by-step explanation:

I dunno which one to answer so I'll do both. (the question you posted or the picture??)

5x - 32x - 9

First we can combine the like terms 5x and -32x. Which is -27x

We can't combine -9 with anything so it stays the same.

-27x - 9

________________________________

5x - 3 = 2x - 9

-2x        -2x      

3x - 3 = -9

Here I subtracted -2 from both sides.

3x - 3 = -9

    +3    +3

3x = -6

Divide both sides by 3 to isolate the variable.

x = -2

(sorry this is so long) Hope this helps and have a great day!

Pleasee help me with my Math is important and I need help

Answers

Answer:

aint no way im answering all of those

kid just put them in y=mx+b form by isolating the y

Step-by-step explanation:

i'll do #19 for ya

y-4 = 3(x-2)

3(x-2) turns into 3x-6 when u distribute it

y-4 = 3x-6

isolate the y by adding 4 on both sides

y=3x-2

there ~ it's in slope intercept form

Answer:

19. Y = 3x - 2

20. Y = -x - 6

21. Y = -2x + 2

22. Y = -5x + 14

23. Y = 6x - 3

24. Y = 3x + 23

25. Y = 1/2x + 5

26. Y = 1/3x + 2

27. Y = x + 1

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3

Answers

Answer:

3 to 8

Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio

What is the Area, in Square Inch's of this figure PLEASE HELP I WANT TO SLEEP

Answers

Answer:

60

Step-by-step explanation:

This shape can be divided into a rectangle and a right triangle.

rectangle: l x w = 8 x 6 = 48

triangle: .5bh = .5 x (12-8) x 6 = 12

48 + 12 = 60 square units

hope this helped!

a type of green paint is made by mixing 2 cups of yellow with 3.5

find a mixture that will make the same shade of green but a smaller amount

find a mixture that will make the same shade of green but a larger amount

find a mixture that will make the different shade of green that is bluer

find a mixture that will make the different shade of green that is more yellow​

Answers

Answer:

Anything with 2 Yellow and more than 3.5 Blue

Step-by-step explanation:

The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand.  The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue.  You can find ratios that are the same but use more/ less  amounts.  So if you use 4 units of yellow and 7 of blue it is the same ratio.  

If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio.  So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.  

A bank has a savings rate of 6% simple interest per year. If a customer deposited $4,000 in a new account and does not add or withdraw any money to the account, how much simple interest will the customer make in 4 months?

Answers

Answer: The customer will make $80 as interest in 4 months.

Step-by-step explanation:

Given: Deposited amount : P = $4000

Rate of interest per year : r= 6% =0.06

Rate of interest monthly = [tex]\dfrac{r}{12}=\dfrac{0.06}{12}=0.005[/tex]

Time = 4 months

Simple interest = principal x rate of  interest x time

[tex]=4000\times 0.005\times 4=80[/tex]

hence, the customer will make $80 as interest in 4 months.

Find the value of x in the triangle below

Answers

Answer:

x=39

Step-by-step explanation:

180-102=78

78/2=39

Answer:

x=39

Step-by-step explanation:

180-2x=102

-2x=-78

x=39


Solve the following
equation:
8(x – 3) + 15 = 55


X=4
X=8
No solution
Infinite solutions

Answers

I think it’s 8 if not sorry
See the attachment for answer

Someone come try to hit my ovh off booters only if do i give brainliest and 100 points and this account name

Answers

Answer:

?

Step-by-step explanation:

Can someone show me how to do it step by step solving for x,y and z

Answers

Z is 25, x is 74, and y is 37

Step-by-step explanation:

X+106=180 [(being cointerial angle]

or, X=180-106

or,X=74

therefore,X=74

2y=X=74[being corresponding angle]

X+(4z+6)=180[being exterior cointerior angle]

or, 74+6+4z=180

or,4z=180-80

or,4z=100

or,z=100/4

or,z=25

Evaluate the expression below
(8.1 + 7.9)x – (25 ÷ 5)x

Answers

Answer:

11x

Step-by-step explanation:

the answer is 11x

Answer:

11x

Step-by-step explanation:

which of the following would produce a larger image ?
a.2/3
b.1 1/2
c.1/2
d.1/2

Answers

Answer:

1 1/2

Step-by-step explanation:

Which value of x makes the equation 3+0.75(x-2)=0.5(x+20)

Answers

Answer:

x = 34

Step-by-step explanation:

We need to find the value of x in the given equation :

3+0.75(x-2)=0.5(x+20)

Solving as follows:

3+0.75x-1.5=0.5x+10

Taking like terms together,

3-1.5-10=0.5x-0.75x

-8.5=-0.25x

[tex]x=\dfrac{8.5}{0.25}[/tex]

x = 34

So, the value of x is 34.

7|3y – 4|– 8 = 48
Please help!

Answers

Answer: y=4 or y= 4 over 3

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!!
NEED THIS ASAP

Answers

Just divide both sides by -2/3, youll get x=-51

Answer:

divide by -2/3 you will get -51

i believe :)

Step-by-step explanation:

(01.01 MC)Why is 3 + (−5) equal to −2? Because it is 5 units to the left of 0 on a horizontal number line Because it is 5 units to the right of 3 on a horizontal number line Because it is 5 units to the left of 3 on a horizontal number line Because it is 5 units to the right of 0 on a horizontal number line

Answers

Answer:

C. Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.

Thus from the given expression,

3 + (-5) = 3 - 5

           = -2

So that,

3 + (-5) = -2

Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.

A tree in Sam's backyard was approximately 14 ft tall. The height of the tree is increasing at an average rate of .003 ft per month. Which function can be used to find the height of the tree in x months since it was measured?

Answers

Answer:

[tex]f(x)=0.003x+14[/tex]

Step-by-step explanation:

Let the linear function to represent the height of tree be:

[tex]f(x) =mx+c[/tex]

Where [tex]x[/tex] is the time in months

[tex]m[/tex] is the rate of change in the height of tree each month.

[tex]c[/tex] is the initial height of the tree.

Here, we are given that:

The initial height of the tree is 14 ft.

Increase in the height = 0.003 ft per month

Putting the values in the equation of function:

[tex]f(x)=0.003x+14[/tex]

So, the function [tex]f(x)=0.003x+14[/tex] can be used to find the height of tree in [tex]x[/tex] months since it was measured.

Determining Whether Lines Are Parallel Graph each pair of lines. Use slopes to determine whether the lines are parallel. A AB and CD for A(2, 1), B(1,5), C(4,2), and D(5,-2) slope of AB = C А 17-6-54-3-2- O ENEO-NWA 3 4 5 6 7 slope of CD - The lines have​

Answers

Answer:

The lines are parallel.

Step-by-step explanation:

I know that because when i graphed the line they where by each other, But when you graph the line one of the lines are longer then the other but it does not count.

Hope this helps!!! ,

                               Shadow lolbit.

P.S, can i have some friends plz!!!!!

At the end of a card game, James scored −16 points, and Alexis scored −10 points. Enter an inequality in the box to compare the points James and Alexis scored.

Answers

Answer:

-16 < -10

-10 > -16

Step-by-step explanation:

James = -16

Alexis = -10

-16 < -10

This means, James scored less than Alexis at the end of the card game

-10 > -16

This means Alexis scored more than James at the end of the card game

The inequality that compares the points Alexis and James scored could either be any of the following:

-16 < -10

-10 > -16

Can someone help me on question 12 please

Answers

Answer:

I think it is i

Step-by-step explanation:

The formula is 2(l+w)

2(13+8)

2(13)=26

2(8)=16

26+16=42

Which equation is equivalent to 2x + 40 = 10?

Answers

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Can someone help me solve this and please show work

Answers

Answer:

a.70°

b.125°

c.125°

Step-by-step explanation:

ans respctively a,b,and c

Carlos travelled a certain distance from home to the campgrounds on his dirt bike at a speed of 50 km/h and returned at a speed of 60 km/h. How can carlos find the distance between his home and the campgrounds if the total time traveling was 11 hours.

Answers

Answer:

110km

Step-by-step explanation:

"Carlos travelled a certain distance from home to the campgrounds on his dirt bike at a speed of 50 km/h and returned at a speed of 60 km/h. How can carlos find the distance between his home and the campgrounds if the total time traveling was 11 hours"

Given data

initial speed u=50km/h

final speed v=60km/h

time taken t=11hours

change in speed= 60-50

=10km/h

we know that the expression for speed is given as

speed= distance/time

let the distance be x

10=x/11

x= 10x11

x=110km

Therefore the distance is 110km

Write an equation in slope-intercept form for the line that passes through the given point.

(3, -3) slope 3

Answers

Answer:

y=3x-12

Step-by-step explanation:

x/8+3=12 what is the answer to this question​

Answers

Answer:

x= 72

Step-by-step explanation:

Which inequality represents the situation “the temperature should be at least 40 degrees"?

Answers

The answer is G

Explanation:

In the diagram shown, what is the measure of angle BAC?

Answers

Answer:

Option (B)

Step-by-step explanation:

By exterior angle theorem,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the given theorem,

8x - 30 = (4x + 8) + (2x + 2)

8x - 30 = 6x + 10

8x - 6x = 40

2x = 40

x = 20

m∠BAC = (2x + 2) = (2×20) + 2

                              = 42°

Therefore, Option (B) will be the answer.

f(x)=12x^4-4√x+7/x^2

Derivative Power Rule

Answers

Answer:

(1-14/x3) 6/(x+ 7/x2)1/2

Step-by-step explanation:

whats 2 plus 2 you get 100 points

Answers

Two plus two is four :)

Thanks for the points!

Answer:4

Step-by-step explanation:

howdy

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