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
Art [367]
3 years ago
5

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank.
If Dylan only collects dimes and quarters, write a system of equations in two variables or an equation in one variable that could be used to model this situation.




Using your equation or system of equations, algebraically determine the number of quarters and the number of dimes Dylan has in his bank
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = \frac{85.5}{1.5}

   = 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

You might be interested in
Which of the following is a reasonable estimated answer to the following problem? 989,867 ÷ 999
kolezko [41]
991 if you round it off.

990.8
Above 5 so go up one

5 0
3 years ago
Read 2 more answers
1. Evaluate each expression without using a calculator.<br> (a) <img src="https://tex.z-dn.net/?f=%28-3%29%5E%7B4%7D" id="TexFor
Rufina [12.5K]

The result of the exponential expression is 81

<h3>Indices expressions</h3>

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81

Hence the result of the exponential expression is 81

Learn more on exponents here: brainly.com/question/11975096

5 0
2 years ago
What is the perimeter of kite WXYZ?
liq [111]

Answer:

C on Edge. 2 (square root of 53) +10 units

Step-by-step explanation:

8 0
2 years ago
3x - y = -10<br> -8x - y = 23
Anni [7]

Answer:

(x,y)=(0,-23)

Step-by-step explanation:

5 0
3 years ago
What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4
Digiron [165]

Answer: 31 hope this helped

Step-by-step explanation: I'm assuming your problem looks like this: 4+5*6-3 =? To solve this problem you need to use the order of operations. PEMDAS which stands for Parentheses, exponents, multiply and divide, and lastly add and subtract. You must multiply and divide before you add and subtract so you must do 5*6 first. You now get 4+30-3. Now all you have left is addition and subtraction so you now just go from right to left and do one at a time. So 4+30 = 34 , 34-3=31. Therefore your answer should be 31. Hope that helped!

8 0
2 years ago
Other questions:
  • Solve each proportion examples 1 and 2 <br> 1.5 6 = 10p p =
    15·1 answer
  • Help math whats the answer will give brainliest
    14·1 answer
  • A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl​ glov
    6·2 answers
  • A circle with radius of \green{2}2 start color green, 2, end color green sits inside a \blue{7 \times 11}7×11 start color blue,
    8·2 answers
  • Bob will run at least 28 miles this week. So far, he has run 18 miles. What are the possible numbers of additional miles he will
    15·1 answer
  • 40. There are 24 grapes on a plate of the grapes a quarter are green how many of them
    7·1 answer
  • Ezekiel bought a hat for $14.95 and a pen for $2.97 he paid witha $20 bill how much change should he have received
    9·1 answer
  • I’ll give brainliest!! please help and answer correctly! plsss answer quick
    10·2 answers
  • What is 3/10 of 1/2 metre and why?
    9·1 answer
  • Their mother measures their shadows.Dixon's shadow is 9 feet long and Ariadne's shadow is feet long. If Dixon is 6 feet tall, ho
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!