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
marin [14]
3 years ago
9

A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many

quarters are there?
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
<span>Let N equal the number of nickels.
Let D equal the number of dimes.
Let Q equal the number of quarters.

We know that .05N + .10D + .25Q = 5.50.
We also know that N + D + Q = 30.
We also know that D = 2N.

Therefore, Q = 30 - (N + D) = 30 - (N + 2N) = 30 - 3N

So...

5.50 = .05N + .10(2N) + .25(30 - 3N)
= .05N + .20N + 7.50 - .75N

Therefore (moving all N's to the left of the equals sing, and all constants to the right of the equals sign)...

.5N = 2.

Therefore, N = 4. There are four nickels, eight dimes, and 18 quarters.

Checking our work...
Four nickels is 0.20.
Eight dimes is 0.80.
18 quarters is 4.50.

That sums to 5.50, and is 30 coins.</span>
You might be interested in
Given the equation −4x + 10 = 2, which order of operations completely solves for x?
hammer [34]
Hi there!

Answer:
The answer is "<span>Subtract 10, then divide by −4"

Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by </span><span>−4)
</span><span>
Solving the equation:
</span><span>−4x + 10 = 2
First subtract 10 (from both sides of the equation)

</span>−4x  = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!

4 0
3 years ago
2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability o
coldgirl [10]

Answer:

\frac{11}{25}

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

\frac{33}{75} or 0.44

This fraction can also be simplified to its simplest form of \frac{11}{25} which is obtained by dividing both the numerator and denominator by 3

5 0
3 years ago
Help with 3 show work please
schepotkina [342]
Alright assuming they mean total surface area since they didn't say lateral the equation to follow would be S= Ph + 2B

Start with P:
P stands for perimeter, so add up all the edges on one face of the cube.


17 + 17 + 17 + 17 = 68
Then your equation becomes
S= 68×h + 2B
h=height and that's obviously 17
so, S= 68×17 +2B

Now to find B. This is pretty easy. All you need to do is take 17×17 because you're finding the area of the base. This equals 289.

Finally this leaves us with the equation
S= 68×17+2×289

From there on you just solve it out.
This would leave you with 1734.
4 0
3 years ago
Will give brain list!!! I need helppp! And show workk
Debora [2.8K]

Answer:

Dude! Stop telling people to do your work on DeltaMath

Step-by-step explanation:

6 0
3 years ago
Can someone pls help me with this question
yKpoI14uk [10]

Answer: its correct

Step-by-step explanation: 4 is the answer

6 0
2 years ago
Read 2 more answers
Other questions:
  • two lines pass through the origin. The lines have slopes that are opposites. Compare and contrast the lines.
    11·2 answers
  • Find the area of the triangle with ∠A = 86, b = 4 ft, and c = 3 ft. Round your answer to two decimal places.
    7·1 answer
  • waco, tx, has an elevation of 405 feet. dallas, tx, has an elevation of 463feet . about how many feet greater is dallas elevatio
    8·2 answers
  • Explain how the segment addition postulate can be modeled using a real-world object
    15·2 answers
  • What is the slope of this line??
    5·2 answers
  • Solve x2 + 2x =1 for x by completing the square.
    12·1 answer
  • Solve dy/dx = sqrt x+16 subject to the initial condition y(0)=0
    5·1 answer
  • Which logarithmic equation is equivalent to the exponential equation below? e^a=55
    11·1 answer
  • Please help!!! I will vote BRAINLIEST<br> What is the value of k?
    15·1 answer
  • Plz help. <br> It’s algebra
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!