A person has 28 coins, all dimes and quarters, worth $4.60. How many quarters are there?

16
18
12

Answers

Answer 1

Remember that a dime is worth 10 cents and a quarter is worth 25 cents and $4.60 is 460 cents.

Let D = the number of dimes and Q = the number of quarters.

Now let's translate the English into math. . .

there are 28 coins in all--> D + Q = 28  so D = 28 - Q

they are worth 460 cents--> 10D + 25Q = 460

Now substitute 28-Q for D--> 10(28-Q) + 25Q = 460

280 - 10Q + 25Q = 460

Combine like term. . .

15Q = 180

Divide both sides by 15--> Q = 12

So D = 16

Answer 2

Answer:

12

Step-by-step explanation:

D=dimes Q=quarters

D+Q=28 so D=28-Q

460=10D+25Q

substitute 28Q for D

10(28-Q)+25Q=460

280-10Q+25Q=460

combine like terms

15Q=180

divide both sides by 15 so Q= 12 and D=16

(I believe this is the correct answer)


Related Questions

Please help me out here!! Literally one of my 12 missing assignments lol-

Answers

Answer:

A i think

Step-by-step explanation:

PLSSSS NEED HELP ASAP I BEG U

Find m (gradient) and c (y-intercept) for each of the following.

Answers

Answer:

the top dot is at .....y, 4, -1

the bottom dot is at .......x, 1, -4

the top dot is in the area y and therefor the numbers for it are 4, -1

the bottem dot is in teh area x and therefor the numbers for it are 1, -4

what is the inequality of You must be over 12 years old to ride the go-karts.

Answers

Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

Here are 20 students in Jacob's homeroom. Five students bring their lunch to school. The rest eat lunch in the cafeteria. In simplest form, what fraction of students eat lunch in the cafeteria? By the way this is fraction do you know 2/3 like that you now Those types of fractions of students eat lunch in the cafeteria. What is the answer

Answers

Answer: 3/4

Step-by-step explanation:

Number of students in Jacob's homeroom = 20.

Number of students who bring their lunch to school = 5

Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:

= 20 - 5

= 15

Fraction that eats in the cafeteria will be: = 15/20 = 3/4

Please find the slope

Answers

After using the slope formula your answer would be 5/0.1 but when simplifying your answer is 50

What fraction goes into the blank to make the fraction comparison true?

2/3 < ?

Answers

Answer:

1/3

Step-by-step explanation:

because smaller the fraction bigger the pieces so 1/3 will be greater than 2/3 :)

Answer:

any number that is more than 2/3

so you can put 3/4 or/3

Step-by-step explanation:

find the circumference of a circle with a radius of 5mm

Answers

Answer:

31.4 (simplified)

Step-by-step explanation:

C≈2π*5

C≈31.41593 (full answer)

Answer:

31.415...

Step-by-step explanation:

c=piD

circumference=pi times diamiter

radius=2D

pi times 10=31.415...


what is the value of sin 43 degrees to the nearest ten-thousandth?

Answers

The answer is 0.682 :)

Answer:

d

Step-by-step explanation:

just rounding the 3rd digit on the left from the dot: )

the degree of -6x^4 is?

Answers

Answer:

4

Step-by-step explanation:

To find the degree, we look for the highest exponent number. In this case, there is only one. So, the answer is 4.

Help and please make sure it’s right I only have 6 questions:(

Answers

Answer:

x=4

Step-by-step explanation:

135+25+5x=180°

160+5x=180

5x=20

x=4

14. Where would you plot the vertex on the graph of the following
absolute value equation? Enter your answer as an ordered pair (x,y).
y = |x +41 + 2
Enter the answer
Check it
ska)

Answers

Answer:

(-4, 2)

Step-by-step explanation:

X+4=0

x= - 4

When you get this value, you have the x value of the minimum. That's because you have made the x value 0. Any other value will turn the y value into a number greater that 2.  In other words, the absolute value is larger than 0, so the y value is greater than 2.

The vertex is (-4,2) .  I have enclosed a graph to show what this will look like when graphed.

Don't do anything until I check this. I'm using my phone.  You are the first person I have tried to use my phone on. It's not as good as my computer. This is the final answer.

What is "a" divided by "a"% of "a"?

Answers

...is it a?? Or half of a??

Answer:

A is the answer or half i dont know

Step-by-step explanation:

PLEASE HELP NOWWWWWWWWWWW

Answers

Answer:

Step-by-step explanation:

Option 4 2x + y = - 4 is the correct answer

Answer:

most likely D

Step-by-step explanation:

Which of the following does not reveal the variation (spread) of the data?
O standard deviation
O the median
O the 5 number summary
O the range
O all of the above show spread

Answers

Answer:

Bru I’m in ur class and it’s The median

Step-by-step explanation:

It’s the median

Out of all the options listed, the only one that does not show variation (spread) is the median.

The median is simply used to show the medium value of a data set. It cannot be used to tell the variation because it does not take into account all the values but rather the middle one alone.

The other options are wrong because:

Standard deviation shows how spread out around the mean, variables are5 number summary gives a sense of the spread of the data because it takes into account several important variables in the data set The range shows the spread of the data

In conclusion, only the median does not help with finding the variation of a dataset.

Find out more at https://brainly.com/question/11283325.

Anita and Brad are each riding on the same path. Anita began riding at start of the path and is riding at rate of 18 mile per hour. Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour

Answers

Answer:

They will be at the same position after 2 hours.

Step-by-step explanation:

Here, it should be asked the time it will take for Anita to catch Brad.

Anita began riding at start of the path and is riding at rate of 18 mile per hour.

This means that, after t hours, her position will be given by:

[tex]A(t) = 18t[/tex]

Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour

This means that, after t hours, his position will be given by:

[tex]B(t) = 10 + 13t[/tex]

After how much time will they be at the same position?

This is t for which:

[tex]A(t) = B(t)[/tex]

So

[tex]18t = 10 + 13t[/tex]

[tex]5t = 10[/tex]

[tex]t = \frac{10}{5}[/tex]

[tex]t = 2[/tex]

They will be at the same position after 2 hours.


What is the instantaneous acceleration of the particle at point B?

A) 0 meters/second2
B) 10 meters/second2
C) 12 meters/second2
D) 15 meters/second2

Answers

No no no it is 2 meters 15 seconds maybe u write not correctly. but according to your choice of answers, only D is suitable here

Answer:

it is not D

Step-by-step explanation:

find the value of x please

Answers

Answer:

54 degrees

Step-by-step explanation:

3. A map pencil drawer contains the following colors: 5 Purple, 3 Yellow,
and 9 Blue. A map pencil will be randomly selected from the drawer ana
then replaced. Then another map pencil will be randomly selected from
the drawer. What is the probability that a purple will be selected both
times? *
5/17
10/17
25/289
10/34

Answers

add up all the numbers together
it’ll give you 17
since they’re asking abt the probability of a purple being chosen twice, multiply 5 by 2 to give you 10
so 10/17

Find the value of x in the figure below and give the reason.

Answers

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

Step-by-step explanation:

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

please help me

what is incorrect about this problem​

Answers

Answer:

The answer is correct

Step-by-step explanation:

find the value of given expression


[tex] \sqrt{44 + 77} [/tex]

Answers

Answer:

11

Step-by-step explanation:

square of 44 + 77

1st step = go with the number that is inside the square

that will 44+77 = 121

now using the square root , you may think about which number multiple by himself give you 121

11×11 =121

so square root of 121 = 11

[tex] \sf Q) \sqrt{44 + 77} = {?} [/tex]

[tex] \sf \implies \sqrt{44 + 77} [/tex]

[tex] \sf \implies \sqrt{121} [/tex]

[tex] \sf \implies 11[/tex] is the required answer.

Jean deposits $730 in an account that pays 2.8% simple interest. He neither adds more money nor withdraws any mone from his account. What amount will be in Jean's account after 5 years?

Answers

Answer:

730 x 0.028 = (assuming per year) 20.44

20.44 x 5 = 102.2

102.2 + 730 = 832.2

Your final answer is 832.2

Step-by-step explanation:

Hope this helps!

The value of amount will be in Jean's account after 5 years is,

⇒ Amount = $832.2

What is mean by Multiplication?

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Jean deposits $730 in an account that pays 2.8% simple interest.

And,  He neither adds more money nor withdraws any mone from his account.

Now, We know that;

Interest = PRT / 100

Where, P is principal amount,

R is rate

And, t is time.

Hence, Substitute the values we get;

Interest = 730 x 2.8 x 5 /100

            = $102.2

Hence, The value of amount will be in Jean's account after 5 years is,

⇒ $730 + $102.2

⇒ $832.2

Therefore, The value of amount will be in Jean's account after 5 years is,

⇒ Amount = $832.2

Learn more about the simple Interest visit:

https://brainly.com/question/7639734

#SPJ2

Estimate 14.182 + 3.56 by first rounding each number to the nearest tenth.

Answers

Answer:

17.8

Step-by-step explanation:

Answer:

17.74

Step-by-step explanation:

.182 rounded to the nearest tenth would be .18 and .56 would stay as is you add those and get .74 next you add 14+3 and get 17 you put those together to get your answer 17.74

The math teacher said, "Please ___ each expression on the board. Show your work so that I can see how you found the value." plz help

Answers

Answer:

Step-by-step explanation:

Use the diagram to find the measure of angle c !!! Will give b if correct:)
PLEASE HELP ME
PLEAZE HELPPPPPPPPPPPP I HAVE A TEST TMR:(

Answers

Answer:

107°

Step-by-step explanation:

Neeed help 6x3+5-3x(-3)=?

Answers

Answer:

32

Step-by-step explanation:

I need Helpppp please!!!!!

Answers

Answer:

0.15 $

Step-by-step explanation:

Simplify:
5m²n³ +9mn
(8mn - 4m²n³ ÷ 4)​

Answers

Answer:

mn(5mn² + 9) ;

2mn(1 - 1/2mn²)

Step-by-step explanation:

Given:

5m²n³ +9mn

(8mn - 4m²n³ ÷ 4)​

5m²n³ + 9mn

mn(5mn² + 9)

(8mn - 4m²n³ ÷ 4)​

8mn/ 4 - 4m²n³ / 4

2mn - m²n³

2mn(1 - 1/2mn²)

PLSS HELP 25 POINTS AND BRAINLIEST

Answers

Answer:

[tex]\huge\boxed{\sf x = 16}[/tex]

Step-by-step explanation:

Using Pythagoras Theorem since it is a right angled triangle.

Where,

Base = 12

Perpendicular = x

Hypotenuse = 20

Pythagoras Theorem:

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

[tex](20)^2=(12)^2+x^2\\\\400 = 144 + x^2\\\\Subtract \ 144 \ to \ both \ sides\\\\400-144=x^2\\\\256 =x^2\\\\Take\ Sq. \ root\ on \ both \ sides\\\\\sqrt{256} =x^2\\\\16 = x\\\\x = 16\\\\\rule[225]{225}{2}[/tex]

Rhombus find the measure of <2

Answers

90• the answer is 90
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