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
dybincka [34]
3 years ago
13

A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how m

any of each are there?
Mathematics
1 answer:
lord [1]3 years ago
3 0
Let the number of half dollars be x,

number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17

There are 17 quarters and 15 half dollars.
You might be interested in
(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf
alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

...

Step n: Step 1: you narrow down to group of 3^{n-n} = 3^0 = 1coin

8 0
3 years ago
A spinner with two equal sectors is spun 5 times.
andreyandreev [35.5K]

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

7 0
3 years ago
PLZZ HELP ITS AN EMERGENCY THIS IS DUE IN 30 MINUTES!!!​
Nataly_w [17]

Answer:

1.equation

2. inverse operations

3. 3.7

4. 8

5. yes its a solution because 58=58

6. not a solution

7. 10.3

9. 9

11. 64

12. 2.1

Step-by-step explanation:

4 0
3 years ago
?4x y=10 rewrite in slope intercept form
aleksandrvk [35]
Wait, do you mean that y=10 is what you want in slope intercept form? Oh btw I'm not answering this just for the points. I'll actually answer the question
6 0
3 years ago
The speed of light is about 3x10^8 m/s what is the speed of light in kilometers per hour
BigorU [14]
3*10^8 \frac{m}{s}  \\\\ 1m\to 10^{-3}km \\\\ 1s\to 36*10^{-4} h \\\\\\ 3*10^8* \frac{10^{-3}km}{36*10^{-4}s}= 10^8 * \frac{10^{-3}*10^4km}{12s}= \\\\ =10^8* \frac{10m}{12s}= \\\\ =10^8* 83*10^{-2} \frac{m}{s}=\\\\= \boxed{83*10^6 \frac{m}{s}}
8 0
3 years ago
Read 2 more answers
Other questions:
  • Choose The Answer That Best Matches The Word In Italics.
    7·2 answers
  • Someone please help me it’s the last question just someone please explain and answer thanks
    10·1 answer
  • Can someone please help me on number 19
    9·1 answer
  • Domain, and y intercept of function in image
    6·1 answer
  • Sooooo, i spilled nail polish remover in my chrome book snd the keyboard is no longer working. also i'm on spring break tomorrow
    9·1 answer
  • HELP NEED HELP !<br><br> 1 + 1 = ?
    14·1 answer
  • Write the equation of the quadratic function shown in the graph.
    8·1 answer
  • Confusion help please
    14·2 answers
  • What is the lowest common multiple of 24, 8 and 16.
    7·1 answer
  • Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mrs. Hanson, the P.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!