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Flauer [41]
2 years ago
15

What is the best expression for 17/4

Mathematics
2 answers:
balu736 [363]2 years ago
3 0

Answer:

4 1/4

Step-by-step explanation:

This is the best expression or the best simplyfied version.

VARVARA [1.3K]2 years ago
3 0

Decimal-4.25
Fraction-4 1/4
It is rational
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A change purse contains 16 coins. The coins are nickels, dimes, and quarters. The value of the change is $2.10. The number of di
elixir [45]

Taking into account the definition of a system of linear equations, there are 6 quarters in the change purse.

<h3>System of linear equations</h3>

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

<h3>Amount of quarters in the change purse</h3>

In this case, a system of linear equations must be proposed taking into account that:

  • N in the amount of nickels in the change purse.
  • D in the amount of dimes in the change purse.
  • Q in the amount of quarters in the change purse.

On the other hand, you know:

  • A change purse contains 16 coins.
  • The value of the change is $2.10.
  • The number of dimes is 4 fewer than the number of quarters.

The system of equations to be solved is

Equation 1: N + D + Q= 16

Equation 2: 0.05N + 0.10D + 0.25Q= 2.10

Equation 3: D= Q - 4

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

Substituting equation 3 into equation 1 you get:

N + Q - 4 + Q= 16 → N +2Q= 16 +4 → N + 2Q= 20

Isolating the variable N you get:

N= 20 - 2Q

Replacing this expression and equation 3 in equation 2 you get:

0.05×(20 -2Q) + 0.10×(Q -4) + 0.25Q= 2.10

Solving:

0.05×20 - 0.05×2Q + 0.10Q - 0.10×4 + 0.25Q= 2.10

1 - 0.10Q + 0.10Q - 0.40+ 0.25Q= 2.10

- 0.10Q + 0.10Q + 0.25Q= 2.10 -1 +0.40

0.25Q= 2.10 -1 +0.40

0.25Q= 1.50

Q= 1.50÷ 0.25

<u><em>Q= 6</em></u>

Finally, there are 6 quarters in the change purse.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

5 0
2 years ago
Answer these questions please guys thanks so much
tankabanditka [31]
The image to the problem isn’t working
4 0
2 years ago
Line m passes through points P(–1, 5) and Q(2, 3) on an xy-coordinate plane. Write an equation for the line that is perpendicula
kap26 [50]
Y = 3x + 2 glad i could help u
7 0
3 years ago
The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente
charle [14.2K]

Answer:

The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Step-by-step explanation:

Given the equation

d = 11cos( \frac{8\pi}{5}*t)-----------Equation 1

where d, in inches of the pendulum of a grandfather clock from the center.

Comparing with the standard equation of an oscillating pendulum bob.

d = Acos (wt + \alpha ) ----------Equation 2

         where ω =  angular velocity

                     t =  time taken

                     α =  The angular displacement when t = 0

Comparing equation 1 and 2,

α = 0

w =\frac{8\pi }{5}

Recall that w = 2\pi fTherefore,[tex]2\pi f = \frac{8\pi }{5} \\\\f = \frac{4}{5}[/tex]

f = 0.8 Hertz

Recall that f = \frac{1}{T}

T = \frac{1}{0.8}

T = 1.25 seconds

Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

5 0
3 years ago
Read 2 more answers
Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope
Amanda [17]

The attached image completes the question.

Answer:

- The part (0, 12000) is constant and the slope is zero

- The part (12000, 38000) is decreasing and slope is negative 0.26.

Step-by-step explanation:

Checking the given graph, we see that

For x = 0  to x = 12,000, the values of y are unchanged. For this, we say it is constant.

The slope here is: 0.85 - 0.85 = 0

For x = 12,000  to x = 38,000, the values of y are decreasing. For this, we say it is negative.

The slope here is: 0.59 - 0.85 = -0.26.

8 0
3 years ago
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