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
Crank
3 years ago
15

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3

quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels?
Mathematics
2 answers:
Sati [7]3 years ago
7 0

Answer:8 pennies, 12 quarters, 18 dimes, so there are 10 nickels

Step-by-step explanation:

Darina [25.2K]3 years ago
5 0

There are five nickels.

Let <em>w</em> = the number of pennies; <em>x</em> = the number of nickels; <em>y</em> = the number of dimes; <em>z </em>= the number of quarters.

Then, we have three equations with four unknowns:

(1) <em>w</em> + <em>x = y </em>

(2) 3<em>w</em> = 2<em>z</em>

(3) 2<em>y</em> = 3<em>z</em>

However, there is a fourth <em>unstated </em>condition: <em>w</em>, <em>x</em>, y, and <em>z</em> must all be integers.

Assume that z = 6 (to avoid fractions).

From Equation (2), w = 4.

From Equation (3), y = 9.

Insert the values for <em>w</em> and <em>y</em> into equation (1).

4 + <em>x</em> = 9

x = 9 – 4 = 5

Thus, there are 4 pennies, 5 nickels, 9 dimes, and 6 quarters.

<em>Check</em>: 4 pennies + 5 nickels = 9 dimes

6 quarters + 4 pennies = 3 quarters for every 2 pennies

9 dimes + 6 quarters = 3 dimes for every 2 quarters

You might be interested in
Simplify the expression:<br> 2a+4b=9c
fomenos

Answer:

a=\frac{9c}{2}-b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
2 years ago
Read 2 more answers
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
Lorico [155]

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}

Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

5 0
3 years ago
Two-step equations. Solve X 7x - 32 = 3
tester [92]
7x-32=3
7x=3+32
7x=35
x=35/7
x=5
HOPE IT HELPS U!!
have a great day ahead ! :)
4 0
3 years ago
I need help solving these problems
cestrela7 [59]

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

4 0
3 years ago
Find the slope of a line perpendicular to each given line.<br> y = 1/4x - 4
Valentin [98]

y=4

4x−4

Step-by-step explanation:

cant explain rn

3 0
3 years ago
Other questions:
  • Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $55. Ho
    5·2 answers
  • Please help me. And if there is work please do it
    15·1 answer
  • Decimal Operations:<br> (Round to the nearest thousandth.) <br> 0/0.75
    8·1 answer
  • How to find the range when the domain is already given.
    6·1 answer
  • Which transformation will always map a parallelogram onto itself?
    13·2 answers
  • Y=4x-6<br> 2x-3y=8<br> if this problem is to be solved by substitution , which is the correct step
    7·1 answer
  • Please help me asp I really need help
    13·1 answer
  • What additional information would he need to prove the triangles are congruent using the Side-Angle-Side method?
    7·1 answer
  • Amrutha sold a watch for Rs1350 and suffered a loss of 10% then find <br><br>a) loss <br><br>b) CP​
    11·1 answer
  • How many pizzas could you buy with $72.00?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!