1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Daniel [21]
3 years ago
13

A newspaper carrier has $5.40 in change. He has six more quarters than dimes but five times as many nickles as quarters. How man

y coins of each type does he have?
Mathematics
1 answer:
BigorU [14]3 years ago
5 0
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents

Add the number of each coin and set it equal to the total in cents.


x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents

x + (x + 6) + (5 * x) + (5 * 6)= 540

x + (x + 6) + 5x + 30= 540
combine like terms

7x + 36= 540
subtract 36 from both sides

7x= 504
divide both sides by 7

x= 72 dimes

x + 6= 78 quarters

5(x + 6)= 390 nickels


CHECK
72 + 78 + 390= 540
540= 540


ANSWER: There are 72 dimes, 78 quarters and 390 nickels.

Hope this helps! :)
You might be interested in
Which sign makes the statement true?<br> 590 ? 5 × 10^2<br> (&gt;) (&lt;) (=)
ludmilkaskok [199]

Answer:

>

Step-by-step explanation:

5 × 10^2 = 500

so 590 is greater than or > 5 × 10^2 or 500

3 0
3 years ago
Which diagram shows parallel lines cut by a transversal?
Arada [10]
Only the third model shows parallel lines cut by a transversal. 

We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out. 

In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out. 

Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three. 
5 0
3 years ago
Read 2 more answers
Find the value of x that makes each sentence true.
ki77a [65]

Answer:

51/25 and 27/4

Step-by-step explanation:

distributing and dividing both sides by coefficient of x

8 0
3 years ago
Read 2 more answers
The equation y=-7x-5 and the solution of (-2,9)
Black_prince [1.1K]
Y=-7x-5 
9=-7(-2)-5
9=14-5
9=9
Please mark the brainliest, if you think i helped!
8 0
4 years ago
.933333333 repeative as a fraction
Tanya [424]
Well if it is a number like .933333333 you will have to round it, So now it is .93 and .93 in a fraction is 93/100
7 0
3 years ago
Other questions:
  • Ok so I already solved this I just need to see if I got it right
    6·1 answer
  • the fruit market buys orange in boxes of 48 and apples in boxesof 36 they sold 1/3 of box orange and 1/9 of a box of appled how
    5·2 answers
  • PLEASE HELP ASAP
    9·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help again help
    5·2 answers
  • 2 Points<br> What can you say about the end behavior of the function f(x)=-4x + 6x2 - 52?
    6·1 answer
  • Which was the most important effect of the bessemer process
    14·2 answers
  • Please help, basic algebra. Find the value of x
    6·1 answer
  • Trigonometry. Find the value of x. Round to the nearest tenth. I been stuck on it for a while I need help.
    5·1 answer
  • A square originally starts with an area of 64 cm2.
    8·2 answers
  • I need help with school
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!