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
Papessa [141]
3 years ago
8

Aaron has $0.70 worth of nickels and dimes. He has a total of 8 nickels and dimes altogether. By following the steps below, dete

rmine the number of nickels, x,x, and the number of dimes, y,y, that Aaron has.
Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

  There are 2 nickels and 6 dimes.

Step-by-step explanation:

Nickels:  x

 Dimes:  y

Constraints:

  0.05x + 0.10y = 0.70

   x + y = 8                   ===>  -0.05 * (x + y = 8)  ===>   -0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

  0.05x + 0.10y = 0.70

 -0.05x - 0.05y = -0.4

_________________

                0.05y = 0.3         ===>    y = 6

Substitution to find x:

  x + y = 8

  x + 6 = 8

  x = 2

There are 2 nickels and 6 dimes.

You might be interested in
3x − 2y = 18<br> y = 2x − 13
jenyasd209 [6]

Answer:

x = - 8

3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18

Then I used an algebra site for the rest.

It should be x = - 8

3 0
3 years ago
Read 2 more answers
Simone paid $12 for an initial years subscription to a magizine. The renewal rate is $8 per year. This situation can be represen
Y_Kistochka [10]
This is easy. Select different values for x to find y values.

For example, let x = 0.

y = 8x + 12

y = 8(0) + 12

y = 0 + 12

y = 12

On your table, you have x = 0 and y = 12.

Do the same using other values of x.
5 0
3 years ago
The ratio of cats to dogs is 4:5 there are 24 animals in all how many dogs are there
Reika [66]

Answer:

For every 4 cats there are 5 dogs, the total number of animals is 24. If we were to do the math we would see that all you need to do is add the amounts to equal the total.

Step-by-step explanation:

When you go to add/ adjust the amount or ratio make sure it is the same equation for both cats as it is dogs

7 0
2 years ago
Read 2 more answers
Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/
algol13

Answer: 24\ liters

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

 1. In the first part of the trip the amount of gasoline the car used can be expressed as:

 \frac{2}{3}x

2. After the first part of the trip, the remaining was:

x-\frac{2}{3}x=\frac{1}{3}x  

3. In the second part of the trip the car used \frac{1}{2} of the remaining. This is:

(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

\frac{2}{3}x+\frac{1}{6}x=20

6. Finally, you must solve for "x" in order to find its value. This is:

\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24

3 0
3 years ago
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.
Ahat [919]

we know that

The Zero Product Property states that if a*b = 0 , then either a = 0 or b = 0 (or both)

we have

x^{2} -x-6=0

rewrite the expression

x^{2} -x-6=(x+3)(x-2)

so

(x+3)(x-2)=0

(x+3)=0\\x=-3

(x-2)=0\\x=2

therefore

<u>the answer is the option</u>

x = –3 or x = 2




3 0
3 years ago
Read 2 more answers
Other questions:
  • How much work is done by a man who uses a force of 7 Newtons to push a box 3 meters across the room?
    9·2 answers
  • Angles of a polygon <br>thanks ♡♡♡♡​
    13·1 answer
  • Write nine and eighty-four hundredths in standard form.
    6·2 answers
  • Algebra 2, please help asap and don't guess!<br><br> √−100 = ____ + ______ i
    12·1 answer
  • What is the answer??
    7·2 answers
  • What is the equation for each line?​
    13·1 answer
  • Assume that the breaking system of a train consists of two components connected in series with both of them following Weibull di
    14·1 answer
  • Hector drank 6 glasses of orange juice that contained a total of 360 calories. What was the unit rate (calories per glass)?
    15·2 answers
  • Which of the following is NOT a benefit of swimming?
    6·2 answers
  • 5^2 x 5^2 20 80 625 425
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!