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
adoni [48]
3 years ago
12

Kevin and Randy Muise have a jar containing 92 coins, all of which are either quarters or nickels. The total value of the coins

in the jar is $13.60 How many of each type of coin do they have? The jar contains ____ quarters. The jar contains ____ nickels.
Mathematics
1 answer:
Artemon [7]3 years ago
7 0
<span>Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or

(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.</span>
You might be interested in
Two subtracted from b is greater than -18
Ber [7]
(b-2)>-18
OR
-18+(b-2)
8 0
3 years ago
a box of 8 marbles has 4 red,2 green and 2 blue marbles. If you select one marble, what is the probability that it is a red or b
Vinvika [58]

your answer should be 0.80

8 0
3 years ago
Find the distance between (4,6) and (-2, -2)
Nataly [62]

Answer:

\displaystyle d = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 6)

Point (-2, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                     \displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}
  2. Subtract:                                \displaystyle d = \sqrt{(-6)^2+(-8)^2}
  3. Exponents:                            \displaystyle d = \sqrt{36+64}
  4. Add:                                       \displaystyle d = \sqrt{100}
  5. Evaluate:                               \displaystyle d = 10
8 0
3 years ago
Read 2 more answers
It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 100 hours knitting a total of
gavmur [86]
3 pairs of socks and 13 pairs of gloves
6 0
3 years ago
Read 2 more answers
3/4 times 7/6 in simplest form
Artyom0805 [142]
3/4 times 7/6 in simplest form = 0.875
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following statements are not proportional 4/6=9/12 2/3=12/18 5/4=10/8 7/5=36/25
    15·2 answers
  • Is 3/8 a natural whole integer or rational number
    10·2 answers
  • The area of a square is 144 square centimeters. Find the length of the diagonal. Write your answer in simplest radical form.
    10·1 answer
  • A Wheel has a radius of 15 cm. Approximately how how far does it travel in 4 revolutions
    9·1 answer
  • What is the volition of -3 (2x + 5)=-3?<br><br> 5
    9·2 answers
  • Make y the subject of the relation; <br>m over y = tan 46⁰​
    6·1 answer
  • A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
    13·2 answers
  • Pls help asap no files though
    14·1 answer
  • Three-quarters of a number is 15.<br> Work out four-fifths of the number.
    6·1 answer
  • Please answer the following;
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!