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
givi [52]
3 years ago
13

You have 22 coins, dimes and nickels. If the number of dimes and nickels were reversed, you would have $0.40 less than you actua

lly have. How many dimes and nickels do you have?
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
The coins differ in value by 5¢, so swapping the numbers of them will change the value by 5¢ for each unit difference in the numbers of coins. Since
40¢ = 8 * 5¢
there must be 8 more dimes than nickels.

There are (22 +8)/2 = 15 dimes and 7 nickels.

_____
You could write some equations for this problem. Let n, d represent numbers of nickels and dimes.
.. n +d = 22
.. 10d +5n - (10n +5d) = 40 . . . . . . . cents
.. 5(d -n) = 40 . . . . . . . . . . . . . . . . . . reversing the coin count changes the total by 5 cents for each unit of difference (d -n), as stated above.
.. d -n = 8 . . . . . . . . . . . . . . . . . . . . . . divide the preceding equation by 5
Adding this last equation to the first gives
.. 2d = 22 +8
.. d = 30/2 = 15
.. n = 22 -15 = 7
There are 15 dimes and 7 nickels.
You might be interested in
What is .25 written in the simplest fraction form
Alekssandra [29.7K]
1/4 is .25 as a fraction
6 0
3 years ago
A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,0
jeyben [28]

Answer:

foot marker 320 at t=0

Step-by-step explanation:

8 sec x 85 ft/s =680 ft

1,000ft - 680 ft = 320 ft

4 0
2 years ago
If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal
dezoksy [38]

Answer:

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ......... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 .......... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)

3 0
3 years ago
Ratios Rates and Proportion
seraphim [82]
56 for 3 is the lowest price
8 0
2 years ago
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
Other questions:
  • How do you write 37/4 as a percentage
    14·2 answers
  • Hey help me please!!! tyyy
    6·1 answer
  • What is a simpler form of the following expressions?
    14·1 answer
  • Solve the system.<br> x+y=7<br> y-z=4<br> X + z = 3
    8·1 answer
  • What is the slope for a line that is perpendicular to the line y=-5+4
    10·1 answer
  • a certain forest covers an area of 4800km squared. if each year the area decreased by 6.75%what will be the area after 11 years
    9·1 answer
  • Besties help please,,,,,,,,
    14·1 answer
  • The perimeter of the triangle is the same as the perimeter of the square
    15·1 answer
  • Answer this question to get marked as barinliest!!!!!!
    12·1 answer
  • Choose the multiple that will be easiest to make an equation with equal and opposite variable/terms
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!