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
Find the system determinant of the given matrix.<br><br>FAST please.
cricket20 [7]

Answer:

the answer is -30

Step-by-step explanation:

| 2 4 |

| 3 -9| = ( 2 * (-9) ) - ( 4 * 3)

= - 18 - 12

= -30

7 0
3 years ago
Need the answers to 38-41
Volgvan
38. 8•4 =32cm^2
39. 8+8+5+5=26 cm^2
40. Pi•r*2 so = 28.27in^3
41. 15/2=7.5 so pi•7.5^2 so area is 176.71m^3
6 0
2 years ago
How do you use the slope to prove lines are parallel or perpendicular?
Vesna [10]
For this, there is two rules. The common slope-intercept form is y=ax + b. For parallel, b can change, but a, or the slope, can't change. But for perpendicular, the a should be -1/a, where the answer for times the original equation, or a, and the second equation, or -1/a, is -1. To prove these two rules, you can graph it using random numbers but follow these two rules. if you have any part that don't understand for this answer, feel free to ask in the "Ask for details" section.
8 0
3 years ago
Pls help need help ASAP
aalyn [17]

Answer:

Cameron Boyce is dead like y rip

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jeremy spent $26.50 for 5.5lb. What would be the price of 1 pound of dog food
NikAS [45]

Answer:

$4.81

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is 64÷8 (12-2)+5<br><br>using pemdas please show work
    8·2 answers
  • -2/5n = -30 n=<br><br> can some one help pleaasee
    8·1 answer
  • If ab = c - d, which of the following is an expression for d in terms of a, b, and c?
    9·1 answer
  • Which equation represents a slope of −4<br> and y-intercept of (0, 2) ?
    10·1 answer
  • jackie needs 0.7 meters of canvas material to make a​ carry-all bag for his wheelchair. If canvas is $4.18 per meter, how much w
    9·1 answer
  • Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T
    12·2 answers
  • What is the exponent in the power of 10?
    8·1 answer
  • # 6
    10·1 answer
  • Pls whats the solution to this question.<br>(x-1÷x)^6.<br>and also solve with full workings.​
    6·1 answer
  • What is the solution of the system
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!