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
Lemur [1.5K]
2 years ago
10

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
6 0

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

x=y+4

And the total value of all her coins is $3.80. Thus:

0.2x+0.05y=3.8

This yields a system of equations:

\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}

We can solve by substitution. Substitute the first equation into the first:

\displaystyle 0.2(y+4)+0.05y=3.8

Distribute:

\displaystyle 0.2y+0.8+0.05y=3.8

Combine like terms:

\displaystyle 0.25y = 3

And divide both sides by 0.25. Hence:

y=12

Thus, Amy has 12 5¢ coins.

Using the first equation:

x=y+4

Substitute:

x=(12)+4=16

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

You might be interested in
State the amplitude, period, phase shift, and vertical shift of the function m(t)= 7 cos (t+3)
tiny-mole [99]

Answer:

B

Step-by-step explanation:

Given a sinusoidal function in the form  f(x)=Acos(Bx+C)+D, we can say:

  • A is the amplitude
  • \frac{2\pi}{B} is the period
  • -\frac{C}{B}  is the phase shift
  • D is the vertical shift

From the function given  m(t) = 7 Cos (t+3), we see that

A = 7

B = 1

C = 3

D = 0

Thus, from the info, we can say

Amplitude = 7

Period = 2π

Phase Shift = -3

Vertical Shift = 0

Answer choice B is right.

3 0
3 years ago
Why did the troll give us the clues
Vinil7 [7]

Answer:

lol

Step-by-step explanation:

im laughing in class

5 0
2 years ago
Amelia and Barrett sold a total of 137 raffle tickets at the football game. Barrett sold 10 fewer than twice as many as Amelia.
gtnhenbr [62]

Answer:

Barett Sold 88 Tickets

Step-by-step explanation:

To Start off we are told that the Total of tickets sold between Amelia (A) and Barrett (B) was 137.

Total = 137

Since Barett Sold 10 less than twice as many tickets as Amelia, we can make the following equation, where Barett is B and Amelia is A.

A + B = 137

A + (2A-10) =137   (Barett equalls 10 less than twice Amelia)

Now we can solve the equation for A

A + (2A-10) =137

3A - 10 = 137  (Combine Like Terms)

3A = 147 (add 10 on both sides)

A = 49 (divide by 3 on both sides)

Now that we have the amount of tickets that Amelia sold we can plug it in for B to find out how many tickets Barett Sold

(2A-10) = B

(2*49) - 10 = B

(2A-10) = B

98 - 10 = B

88 = B

7 0
3 years ago
Cuáles son los métodos de integración
Tcecarenko [31]

Answer:

Spanish:

Los diferentes métodos de integración incluyen:

Integración por sustitución.

Integración por partes.

Integración mediante identidades trigonométricas.

Integración de alguna función particular.

Integración por fracción parcial

Step-by-step explanation:

English:

The different methods of integration include:

Integration by Substitution.

Integration by Parts.

Integration Using Trigonometric Identities.

Integration of Some particular function.

Integration by Partial Fraction.

3 0
2 years ago
Pls solve 2x/5=6 tnx luuv u guys
Mazyrski [523]

Answer:

x=15

Step-by-step explanation:

2x/5=6

Multiply each side by 5/2 to isolate x

5/2 *2x/5=6*5/2

x = 15

6 0
2 years ago
Read 2 more answers
Other questions:
  • In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the num
    15·1 answer
  • 1/6 of ... is 12. please help! hahaha nevermind i read the question wrong sorry all those smart people out there
    15·2 answers
  • During a research​ experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At
    11·1 answer
  • Is (4, 7) a solution to the system of equations? Explain your answer.
    12·1 answer
  • Of the400 doctors who attended a conference, 240 practiced family medicine and 130 were from countries outside the United States
    12·2 answers
  • Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
    9·1 answer
  • Find the value of Y that makes the fraction equivalent
    7·2 answers
  • Solve x 2 + 8x + 7 = 0<br> {-1,-7)<br> {1,7)<br> 00
    10·1 answer
  • 3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,
    14·1 answer
  • Write the given roots to quadratic equation
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!