Greg currently has 30 and receives a new one every 4 months. As a competition, Mark wants to start collecting ties as well. He buys a tie every month until he has the same amount as Greg. How many months until Mark has the same amount? How many ties are there? Hint: use one variable for “# of months” and one for “# of ties”.

Answers

Answer 1

9514 1404 393

Answer:

  40 months

Step-by-step explanation:

Let t represent the number of months. Then Greg's tie count (g) will be ...

  g = 30 + t/4 . . . . . . average rate of tie accumulation is 1/4 tie per month

And Mark's time count (m) will be ...

  m = t . . . . . . . . . . . . average rate of tie accumulation is 1 per month

We want these numbers (g, m) to be equal:

  g = m

  30 +t/4 = t . . . . . substitute the equivalent expressions

  30 = 3/4t . . . . . . subtract t/4

  40 = t . . . . . . . . . multiply by 4/3

After 40 months, Mark and Greg will have the same amount of ties.


Related Questions

(GIVING BRAINLIEST) A company rents out 11 food booths and 26 game booths at the county fair. The fee for a food booth is $50 plus $10 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid

Answers

The answer is 2500+215d

Hope that helps

On Saturday, Carrie went to the store and bought 4 loaves of bread and 1 gallon of milk for a total of $12.50. The next weekend, she went to the same store and spent $11.50 on 2 loaves of bread and 2 gallons of milk. The prices had not changed. What is the price for one gallon of milk?

Answers

Answer:

The price of one gallon of milk is $3.5

Step-by-step explanation:

x----> the price of one loaves of bread

y----> the price of one gallon of milk

we know that

4x+y=12.50 ----> equation A

2x+2y=11.50 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2.25,3.5)

see the attached figure

therefore

The price of one loaves of bread is $2.25

The price of one gallon of milk is $3.5

need the solution to this

Answers

Answer:

12.8

Step-by-step explanation:

Answer:

x = 64/5

Step-by-step explanation:

34x+85=3(13x+7)

Step 1: Simplify both sides of the equation.

34x+85=3(13x+7)

34x+85=(3)(13x)+(3)(7)(Distribute)

34x+85=39x+21

Step 2: Subtract 39x from both sides.

34x+85−39x=39x+21−39x

−5x+85=21

Step 3: Subtract 85 from both sides.

−5x+85−85=21−85

−5x=−64

Step 4: Divide both sides by -5.

−5x/−5=−64/−5

x=64/5

Angel is running for school council president. He receives 300 votes, which is 60% of all the votes. How many students vote in the election?

Answers

Angel receives 300 votes which is 60% of total votes.

Therefore we can determine 60% = 300

The next thing to do would be to determine 1% and we can do this by dividing both sides by 60:

60% = 300

1% = 5

Then multiply both sides by 100 to determine 100% of total votes (total amount of students who voted):

1% = 5

100% = 500

Therefore 500 students voted in the election.

Answer:

500 students

Step-by-step explanation:

300=60%

300x2=600

(turning the 300 into 600 helps it make sense)

600/3=200

200x5= 1000

1000/2=500

write in simplest form
14a^2 / 24a

Answers

Answer:

The simplest form of [tex]\frac{14a^2}{24a}[/tex]  is [tex]\mathbf{\frac{7a}{12}}[/tex]

Step-by-step explanation:

We need to write [tex]\frac{14a^2}{24a}[/tex] in simplest form.

We know the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Applying the rule:

[tex]\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}[/tex]

The simplest form of [tex]\frac{14a^2}{24a}[/tex]  is [tex]\mathbf{\frac{7a}{12}}[/tex]

A teachers age is 6 years greater than 2 times a students age. A principals age is 10 years greater than 3 times the students age. If x represents the students age in years, which expression represents how many years older the principal is than the teacher?

Answers

The principal is 5 years older than the teacher.

Answer:

4x+1

Step-by-step explanation:

I think, not entirely sure

3) What is the number of possible outcomes if two marbles are picked out of a bag that contains three red marbles and three blue marbles? (Note: Order does not matter.]
A) 2
B) 3
C) 4
D) 6​

Answers

Answer:

B)3

Step-by-step explanation:

I had this question on a test

Plz help me am bad at math I will gave u Brainliest

Answers

Answer:

see below

Step-by-step explanation:

surface area = 2 (LW + LH + WH)

a)

where L = length = 8

          W = width = 2

           H = height = 2

plugin values into the formula:

surface area = 2 (8*2 + 8*2 + 2*2)

                     = 2 (16 + 16 + 4)

                     = 72

---

b)

where L = length = 2

          W = width = 3

           H = height = 9

plugin values into the formula:

surface area = 2 (2*3 + 2*9 + 3*9)

                     = 2 (6 + 18 + 27)

                     = 102

---

c)

surface area = 2(area of rectangular side) + 2(area of triangular side) + base area

plugin values into the formula:

surface area = 2 (2*7)  + 2( 1/2 * 7 * 6.1)  + (2*7)

                     = 28 + 42.7 + 14

                     = 84.7

What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−3)2+4?

Answers

Answer:

x = 3.

Step-by-step explanation:

The parabola opens downwards.

it's x = 3 (because of the (x- 3))

help me pls help me pls​

Answers

Answer:

Um, no lo sé, lo siento, solo necesito los puntos

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6.5 x 9  = 58.5

she used half a jar, so that means half of 6.5, which is 3.25. Add 58.5 and 3.25, and you get 61.75.

Also 6.5 x 9.5 = 61.75

Erick and Mia live the same distance from the park and decide to meet at the park
one afternoon. The graphs show their distances from home over the same 30-minute
period as they walked to the park. Each section of each graph represents 10 minutes.
Erick
Mia
Distance from Home
Distance from Home
Time
Time
Which of these statements are true?

Answers

Answer:

sorry I don't see any graph

Step-by-step explanation:

anyways

Eric's distance + time Mia's distance + time

Answer:

B, Mia left her house 10 minutes before Erick left his house.

D, Erick and Mia arrived at the park at the same time.

E, Erick walked the same distance as Mia during the last 10 minutes

Step-by-step explanation:

this is destiny h, and we went over this in class. get off of brainly!

Which of these is not an equation?
A
3b = 5

B
43(4x + 7y)

C
78 = 3p - 37

D
a - 17 = 1,825,026

Answers

Answer:

d

Step-by-step explanation:

an equation always shows that sum is equal

in this case 1825026 will subtract 17 and the remainder will be used to find A

Helpppp plzzz plzzz help

Answers

Answer:

This is so easy but I need a little bit of time to solve it

Step-by-step explanation:

Answer:

y=3/4x-5

Step-by-step explanation:

what is the LCM of 20 an 11​

Answers

Answer:

220

Step-by-step explanation:

Answer:

The least Common Multiple (LCM) of 11 and 20 is 220.

Step-by-step explanation:

You have a recipe for coconut cookies. The recipe makes 20 cookies. You need 100 cookies for a bake sale. Increase the recipe proportionally to make 100 cookies.

Answers

Answer2:

Step-by-step explanation:

1-2

Answer:

Increase the recipe by 5.

Step-by-step explanation:

1 x 20 = 20

5 X 20 = 100

(sorry for the bad explanation, I'm not very good at them ._.'')

4x+(7-3)5=10 please help with this one

Answers

Answer:

x=-2.5

Step-by-step explanation:

4x+(7-3)5=10

4x+(4)5=10

4x+20=10

subtract 20 from each side

4x=-10

divide each side by 4

x=-2.5

Answer:

X=-2.5

Step-by-step explanation:

4 Cx+4)=32
4X+16=32
Helppp find x

Answers

Answer:

x=4

Step-by-step explanation:

What is the slope of the line through (-7, -8) and (0, 4)?

A. -12 over 7

B. -7 over 12

C. 7 over 12

D. 12 over 7

Answers

The answer would be D

The fuel tank of a cruise ship holds 28,665 barrels of gasoline. A fuel tank hold 5,312 barrels of gasoline. Can 5 fuel tankers fuel fill the cruise ship's tank?

Answers

Answer:

No

Step-by-step explanation:

Given that :

Fuel tank of cruise ship hold 28,665 barrels

Capacity of fuel tanker = 5312 barrels

Can 5 fuel tankers fuel fill the cruise ship's tank?

5 * capacity of fuel tanker

5 * 5312 = 26,560 barrels

No because 28665 > 26560

Gregory watches TV for an average of 90 minutes per day on weekdays and an average of 135 minutes per day on the weekends. What is the ratio of the average number of minutes he watches TV on weekdays to minutes he watches TV on weekends?

Answers

Answer: 2:3

Step-by-step explanation:

minutes per day on weekdays:minutes per day on weekends

90:135

It can be written in simplier form, because both numbers can be divided by 45

90÷2=45 and 135÷45=3

The ratio is 2:3.

answer plz i need help
1.if bob had x dollars and his sister Annika has four times as many , express algebraically the number of dollars Annika has

2.chris has $10.00 more than bob. Chirs's amount in terms of x

Answers

Answer:

The expression for Annika is $ 4x and Chris is $ (x + 10).

Step-by-step explanation:

Given that Annika has 4 times more than Bob and Chris has $10 more than Bob. So the expressions will be :

Annika = 4 × x = 4x

Chris = 10 + x

Answer:

Annika has 4x

Chris has (x + 10)

Hope i helped

Find the slope of the line that passes through (10,9) and (1,5)​

Answers

Answer:

4/9

Step-by-step explanation:

4/9 should be correct

Someone help plz this was due last week:(

Answers

to find the slope from a graph you pick two points on the line and determine their coordinates then you determine how much you rise and how much you run (for example you have the points (-2,1) and (3,3) so you start at (-2,1) and from there you go up 2 and over 5 so your slope would be 2/5 .

to find the slope from a table you have to find the rate of change so say your table x values are 0, 1,2,3,4 and your y values are 15,10,5,0,-5 so you have to see how much you have to add or subtract to get to your next value so 0 to 1 you add 1 and 1 to 2 to add 1 and 2 to 3 you add 1 and so on so all your x values changed in +1 on your y values to you have to add or subtract to get to the next value so 15 to 10 you have to subtract 5 10 to 5 you have to subtract 5 then 5 to 0 you have to subtract 5 and so on so all your y values are -5 so your slope will be -5/1 or -5

to find the slope from two points all you have to do is chose 2 coordinates on the (x,y) and (x,y) then you do y2-y1 (y2 just means the second y you chose and y1 means the first y you chose) so you take y2-y1 and divide it by x2-x1 so say your x values are 1,2,3 and your y values are 4,8,12 you can pick any two points so i am picking (1,4) and (3,12) so you do 12-4 divides by 3-1 so 12-4 is 8 and 3-1 is 2 so your fraction is 8/2 but it can be simplified so 8/2 and 2/2 is 4/1 and your slope will be 4/1

SORRY IF THIS IS SO MUCH OR HARD TO READ I TRIED TO GET EVERYTHING AND MADE SURE TO EXPLAIN AND GIVE AN EXAMPLE HOPE THIS HELPS!! DONT SLACK ON YOUR WORK NO MORE!! GET IT DONE IN TIME!! have a great day tho ! if you need help on anything i said comment and i will reply!

The figure below has a point marked with a large dot

Answers

Answer:

Where is the picture?

Step-by-step explanation:

Sorry, could you please give the picture so that I can help you?

Hope that I can help you in the future.

WILL MARK BRAINLESIT

If the circumference of a dining table is 28 ft, what will be the diameter of the dining table?

Answers

Answer:

45 would be the diameter

Answer:

45 is the diameter

Step-by-step explanation:

hope it helps, mark brainliest please

What is 23/40 - 11/30

Answers

the answer for the question is 5/24

Which table represents points on the graph of h(x) = RootIndex 3 StartRoot negative x + 2 EndRoot?

A. A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
B. A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
C.A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
D.A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.

Answers

Answer:

Graph C

Step-by-step explanation:

just took the test

The table that represents the given function is Option C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function is

[tex]\rm \sqrt[3]{ -x +2}[/tex]

The value which corresponds to the function is Table C

x = -6 , y= 2

x = 1 ,y =1

x = 2 , y= 0

x = 3, y = -1

x = 10, y =-2

All the values satisfy the function.

To know more about Function

https://brainly.com/question/12431044

#SPJ5

What is the equation of the line that passes through the point (3,-3) and has a slope of 0?

Answers

Answer:

given us,

slope= 0

(x1y1)= (3,-3)

here

(y-y1) =m(x-x1)

or, (y+3)=0(x-3)

or (y+3)= x-3

or, x+y= -3-3

x+y= -6

Step-by-step explanation:

x+y= -6

What is an equation of the line that passes through the points (0, - 5) and (- 6, 0) ? Put your answer in fully reduced form.

Answers

Answer:

y= mx + b

y= - 5/6x + b

slope is 1

y-intercept is (0,-5x/6)

Step-by-step explanation:

(0, -5) (-6, 0)

y2 -y1 =  0- -5 =  5

x2-x1  =  -6- 0=    6

-5/6

La suma de las edades de un padre y sus dos hijos es de 48 dentro de 10 años el doble de la suma de las edades de los hijos excederá en 6 años a las edades del padre cuando nacio el pequeño la edad del padre accedia 26 unidades al triple de la edad que tenia el hijo mayor cual es la edad de los 3

Answers

Answer:

La edad del padre es 40 años, la edad del hijo menor es 2 años y la del hijo mayor es 6 años.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita. Las incógnitas aparecen en varias de las ecuaciones, pero no necesariamente en todas, y se relacionan mediante las ecuaciones. En otras palabras, un sistema de ecuaciones es un conjunto de dos o más ecuaciones con varias incógnitas en la que desea encontrar una solución común, es decir, encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso debes resolver una sistema de ecuaciones, para lo cual debes en primer lugar definir las variables a utilizar:

x: edad del padre y: edad del hijo mayor z: edad del hijo menor

Entonces, siendo:

La suma de las edades de un padre y sus 2 hijos es 48. Dentro de 10 años el doble de la suma de las edades de los hijos excederá en 6 años a la edad del padre. Cuando nació el pequeño la edad del padre excede 26 unidades al triple de la edad que tenía el hijo mayor.

Se puede expresar simbólicamente como:

x +y +z= 48 Ecuación 12*[(y+10) + (z+10)]= (x+10) + 6 Ecuación 2(x-z)= 3*(y-z) +26 Ecuación 3

que será el sistema de ecuaciones a resolver.

Para resolver se puede usar el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación para así ir determinando el valor de cada una de las variables.

En este caso, despejando el valor de x de la ecuación 1 se obtiene:

x= 48 -y -z Ecuación 4

Reemplazando esta expresión en la ecuación 2:

2*[(y+10) + (z+10)]= (48 -y -z+10) + 6

y aislando la variable y obtienes:

2*[y + z +10 +10]= 48 -y -z +10 +6

2*[y + z +20]= 64 -y -z

2*y + 2*z +40= 64 -y -z

2*y + y= 64 -z -2*z -40

3*y= 24 - 3*z

y= (24 - 3*z)÷ 3

y= 8 - z Ecuación 5

Reemplazando esta expresión en la ecuación 4:

x= 48 - (8 -z) -z

y resolviendo se obtiene el valor de x, es decir, la edad del padre:

x= 48 -8 +z +z

x=40

Entonces, la edad del padre es 40 años.

Ahora, reemplazando la ecuación 5 y el valor de x en la ecuación 3 se obtiene:

(40-z)= 3*(8 -z -z) +26

Resolviendo:

40 -z= 3*(8 -2*z) +26

40 -z= 3*8 - 3*2*z +26

40 -z= 24 -6*z +26

-z + 6*z= 24 + 26 - 40

5*z= 10

z= 10÷ 5

z=2

Entonces, la edad del hijo menor es 2 años.

Finalmente, reemplazando el valor de z en la ecuación 5 se obtiene:

y= 8 - 2

y= 6

Por lo que, la edad del hijo mayor es 6 años.

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