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3 years ago

5

Alan wants to play a game in which each player gets 3 cards. He has a total of 17 cards. How many people can play? How many card

s will be remaining?

1 answer:

rosijanka [135]3 years ago

5 0

Answer:

5 people can play. 2 cards are left remaining.

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Find two positive nontrivial solutions of x^2-Ny^2=1 when N is 15, 7, or 99

Pavel [41]

Hello,

if n=15: (4,1),(31,8),(244,63)

if n=7: (8,3),(127,48),(2024,765)

if n=99: (10,1),(199,20),(3970,399)

(Pell 's equation)

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4 years ago

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A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is

GaryK [48]

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

$\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.$

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

$x+\frac{3}{5} y=\frac{17}{5}$

Subtract $\frac{3}{5} y$ from each side to single out one variable to one side

$x=\frac{17}{5} -\frac{3}{5} y$

Now, we can plug in our value for x into the given equation

$2(\frac{17}{5} -\frac{3}{5} y)+12y=23$

Open the parentheses

$\frac{34}{5} -1\frac{1}{5} y+12y=23$

Merge Y values

$6.8+10.8y=23$

Separate numerical values from variables

$10.8y=16.2$

Divide by 10.8 in order to have a coefficient of 1

$y=1.5$

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

$5x+3(1.5)=17$

Open parentheses

$5x+4.5=17$

Single out the variable

$5x=12.5$

Divide by 5 to have a coefficient of 1 before x

$x=2.5$

$y=1.5$

3 0

3 years ago

Usan has a collection of 105 nickels and dimes. If the number of nickels is six times the number of dimes, how many nickels and

skad [1K]

Answer:

90 nickels and 15 dimes

Step-by-step explanation:

If one is six times the other, then you would have 7 equal piles. Divide 105 by 7 to get 15 which is the number in each pile(number of dimes). Then 105 minus 15 gives you the total of the rest of the piles(number of nickels).

Check:

90 plus 15 equals 105, and

15 times 6 equals 90.

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4 years ago

Evaluate for X = 6, y= 0.3 z=-2.4 x/y+2z. Please help, show your work?

anygoal [31]

(x/y) + 2z.......when x = 6, y = 0.3, and z = -2.4
now we sub
(6/0.3) + 2(-2.4) =
20 - 4.8 =
15.2 <====

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3 years ago

What is the difference between mean and median??? Plz explain throughly :)

Neko [114]

Answer:

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers

Step-by-step explanation:

hope it help

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3 years ago

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