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Studentka2010 [4]
3 years ago
15

Alissa emptied her piggy bank for disney world. She had $7.70. if she had 10 pennies, twice as many times as quarters, and 1/2 a

s many nickels as quarters, how many quarters did she have?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

She has 20 quarters.

Step-by-step explanation:

Alissa emptied her piggy bank for Disney world. She had $7.70.

If she had 10 pennies and twice as many times as quarters, then we can write the equation as

Q = 2P {Where, Q represents the number of quarters and P for pennies}

⇒ Q = 10 × 2

⇒ Q = 20

So, she has 20 quarters.

Therefore, she has 20 quarters. (Answer)

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Write the slope-intercept form of the equation of the line.
maxonik [38]

Answer:

y=-1x+2

Step-by-step explanation:

I think this is the answer because 2 is the y intercept and the x is -2 but negative would not be the slope.

5 0
2 years ago
ebony wants to buy a dvd player and dvds the equation relates the total cost for dvds and dvd player and N dvds is p=20n+200 wha
kupik [55]

____________________________________________________

Answer:

It represents the cost of the DVD player.

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Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what  this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

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3 0
3 years ago
I am a 3 digit number. The sum of my digits is 14. My ones place is 3 times as much as my hundreds place.
Murrr4er [49]

Answer:

329

Step-by-step explanation:

4 0
2 years ago
A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
Alekssandra [29.7K]
Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the  vertices A and B are also shown in the diagrama. They  are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

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3 0
3 years ago
Read 2 more answers
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
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