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
inysia [295]
3 years ago
11

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

determine all possible values for the number of quarters that she could have. Your answer should be a comma separated list of values.
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

You might be interested in
Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x + 3.
mr_godi [17]

Vertical asymptotes happen at x=a if the function is undefined at x=a.

This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.

In this case, the denominator is zero if

2x+3=0 \iff 2x=-3 \iff x=-\drac{3}{2}

And thus the function has a vertical asymptote at x= -3/2

3 0
3 years ago
(10 times 2) + 5 times 8 =
DerKrebs [107]
The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60
7 0
2 years ago
I need help on this one pls help me
vekshin1
What is the question?
6 0
3 years ago
Read 2 more answers
What two number that are the same have the product of 0.2 and the quotient of 0.8
Pie
Let the numbers be a and b, then ab=0.2 and a/b=0.8, so a=0.8b. Therefore, 0.8b^2=0.2 and b^2=0.2/0.8=2/8=1/4 and b=+1/2 or +0.5 and a=+0.8*0.5=+<span>0.4. The two numbers are therefore 0.5 and 0.4 or -0.5 and -0.4. The quotient is 0.4/0.5</span>
3 0
3 years ago
Read 2 more answers
⚠️⚠️⚠️GIVING AWAY HUGE POINTS FOR ANYONE WHO COMPLETES THIS AND GETS THEM RIGHT!!!!!!!⚠️⚠️⚠️
Firlakuza [10]
1st picture

The average speed for his journey from York to Blackpool is 61.4 KM/H



5 0
3 years ago
Other questions:
  • Y’all like chicken? I do and why? Well cuz it’s delicious
    13·2 answers
  • Which pair of angles must be supplementary?
    8·2 answers
  • What is the relationship between the 6's in the number 6647
    5·1 answer
  • 11. Find the value of x.<br>(6x + 7)<br>(8x - 17)​
    10·1 answer
  • Gene says that -2 is less than -2.25. Is he correct? Explain why or why not.
    9·2 answers
  • How many cm are 3.75 in? Do not round.
    14·2 answers
  • EASY 5POINT MATH QUESTION PLEASE SOLVE
    12·2 answers
  • Beth is selling 14 cookies for $35, if she sells 20 cookies how much will she make?
    9·2 answers
  • What grade r u in ( i´m boredd)
    5·2 answers
  • There are 20 apples and oranges in the store. There are 6 more apples than oranges. Write an equation to find out how many apple
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!