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melomori [17]
3 years ago
9

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25. Find one possibility f

or the number of nickels and number of dimes that could be in Priya's pocket. Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. Explain what the point (13,6) means in this situation. Is the point (13,6) a solution to the equation you wrote? Explain your reasoning.
Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:5x + 10y = 125

Step-by-step explanation

Number of nickel = x

Number of dime = y

Nickel = 5 cent

Dime = 10 cent

Total value = $1.25

Total value should be converted to cent since both dime and nickel are both in cent

= $1.25 * 100 = 125 cents

Therefore,

5x + 10y = 125 cents

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If f(x) = 2x to the second power - 10, find f(5)
Aleksandr [31]
F(5) = 2(5)^2 - 10
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f(5) = 40
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3 years ago
Which of the following equations is in equation formed when completing the square on y^2 - 12 y= -27
bogdanovich [222]

Answer:

(y-6)^2=9

Step-by-step explanation:

Given

y^2 - 12y = -27

Required

Get equivalent expression using completing the square

<em>Follow these steps:</em>

  • <em>Take the coefficient of y; That is -12</em>
  • <em>Divide it by 2; That is (-12/2)</em>
  • <em>Square it: (-12/2)^2</em>

<em />

Add to both sides of the equation

y^2 - 12y + (\frac{-12}{2})^2= -27 + (\frac{-12}{2})^2

y^2 - 12y + (-6)^2= -27 + (-6)^2

y^2 - 12y + 36= -27 + 36

y^2 - 12y + 36= 9

Expand the right-hand side

y^2 - 6y - 6y + 36= 9

Factorize:

y(y-6)-6(y-6) =9

(y-6)(y-6)=9

(y-6)^2=9

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3 years ago
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Step-by-step explanation:

4 0
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What is the rounding or compatible sum of 18+53
Semenov [28]
71 is the answer. If you round it, it would be 70.
5 0
3 years ago
Use function notation to write the equation of the line
blondinia [14]

f(x)=mx+b\to y=mx+b

We have two points:

(-3,\ 0);\ (-4,\ 7)

The point slope form of the line:

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Substitute

m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7

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Answer:

f(x)=-7x-21

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