A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)

Answers

Answer 1

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer 2

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d


Related Questions

Connor and Nolan collected 183 plastic bottles from the park. Nolan collected twice as many plastic bottles as Connor. Enter the number of plastic bottles that Nolan collected.

Answers

183x2 (twice means two so you multiply Connor’s amount twice to find the answer) so 183x2 equals 366!!!

What would be the answer of QS?

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Answer:

c I guess tell me if I am wrong yall

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Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

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240 mph speed of wind

Sorry the pic looks like that but help me pleasee

Answers

C ik my math very much

I'm not sure how to find x​

Answers

To answer this, add all of those angles. A triangle’s angles equal to 180. Then, combine like terms and solve.
5x - 40 + 3x + 2x + 20 = 180
10x - 20 = 180
10x -20 + 20 = 180 + 20
10x = 200
10x / 10 = 200 / 10
x = 20

hope that helps!! if you need any more help please comment and link ur question :)

Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?

Answers

Answer:

$53,700

Step-by-step explanation:

Commission earned = percentage commission x total number of houses sold

[tex]\frac{6}{100}[/tex] x $895,000 = $53,700

A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled?​

Answers

Answer:

0.25 Hope this helps :)

Step-by-step explanation:

You add the 5 red and 3 green

8 Mables besides blue

so that's 2/8

simplified 1/4

1/4=0.25

Marking brainliest.

Answers

Answer:

UV

Step-by-step explanation:

That's the only one make sense

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?

Answers

Answer:  

The Original Number is 36 :)

explanation:


Write down the integer values of x that satisfy the inequality -2 < x _<4

Answers

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

help me pleaseee pleaseee

Answers

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]

☆Plug in for m<AEZ

[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

Pls help me..... It due ASAP

Answers

the answer is D.
3 and 6

Answer:

D

Step-by-step explanation:

D is the right answer for the question

Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3

Answers

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Which one!?!?
Help please

Answers

Answer:

Option 1

hope this helped :D

What is 4-3i minus 6+3i?

Answers

Answer:

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Step-by-step explanation:

Find the value of x in the shape below.

Answers

Answer:

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Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

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Step-by-step explanation:

Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square​ kilometers, what is the population of the​ region?

Answers

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?

Answers

Answer:

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so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

1. What is the slope of a line that is perpendicular to the x-axis ​

Answers

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

We also know a line that is perpendicular to the x-axis ​is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
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Answers

7.3 is your answer my guy

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Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

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Answers

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13

Step-by-step explanation:

what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin ​

Answers

Answer:(-8,-4)

Step-by-step explanation:

May someone please help me? This is due today and I'm confused.​

Answers

Answer:

2(x - 8) = 2x - 16

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6x - 2(2x + 8) = 2x + 8

-2(-3x - 2) = 6x + 4

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-14 + 3 + 2(9) + 3x = 7 + 3x

2x + 2(2x + 2) = 6x + 2

Step-by-step explanation:

I hope this helps!

Answer:

#1 = 2x-16

#2=2(-8+x)

#3 i don't know

#4= 2(x-8)

#5=6x+4

#6=2x-16

#7=7+3x

#8=2(3x+2)

please lemme know if its correct

7.0 x 10^3 + 2.0 x 10^2

Answers

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

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3(2x+5)-x=__x+__
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Answers

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

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Hope this Helps!!!

Can someone help me with this equation
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Answers

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2

Answers

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

What is the 10th term of 300, 150, 75

Answers

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

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find the greatest common factor of the following:
c) 2xy⁵, 6x³y³
d) 6x²y², 9xy³, 3x⁴y⁴
f) 10ab, 20bc, 30ca​

Answers

Answer:

c

[tex]2x {y}^{3} [/tex]

d

[tex]3x {y}^{2} [/tex]

f.10

Step-by-step explanation:

C. first you have to find the HCF of 2 and 6 then the HCF of

x and

[tex] {x}^{3} [/tex]

and

[tex] {y}^{5} and \: {y}^{3} [/tex]

Then:

[tex]2x {y}^{3} [/tex]

D.first you have to find the HCF of 6 ,9 and 3 then the HCF of

[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]

then the HCF of

[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]

then:

[tex]3x {y}^{2} [/tex]

F. I'm not sure but 10

if its helpful ❤❤❤❤

THANK YOU.

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