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3 years ago

Use the multiplication principle to tell the total number of three-card hands (permutations) that can be made with two aces

1 answer:

3 0

We are asked for the total or three card hands that can be made with two aces. The three-card hand should have two aces. We will use permutation in solving this problem and the solution is shown below:
nPr = n! /(n-r)!
n=3
r=2
3P2 = 3!/(3-2)!
3P2 = 6

The answer is 6.

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the vertex of this parabola is at (-3,-1). when the y-value is 0, the x-value is 4. what it the coefficient of the squared term

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3 years ago

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A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2

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Answer:

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Step-by-step explanation:

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2 years ago

Can you answer this? factorise 6p + 24q

Talja [164]

Answer:

6(p+4q)

Step-by-step explanation:

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3 years ago

Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

solong [7]

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Answer: $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given: $y \le-3x + 1$

Find: $\textsf{Determine if (1, 1) is a solution of the inequality}$

Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

Plug in the values

$y \le-3x + 1$

$1 \le-3(1) + 1$

Simplify

$1 \le-3 + 1$

$1 \le-2$

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

3 0

1 year ago

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.

hichkok12 [17]

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:

is means =

more than +

twice 2*x

sum +

of usually means multiply

...

Assign variables. Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables. Let x = one number; y = other numbers

Translate:

"One number is 5 more than twice the other number" means

x = 5 + 2 * y

"sum of the two numbers is 29" means

x + y = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

(5 + 2y) + y = 29

5 + 3y = 29 (collect terms)

3y = 24 (subtract 5 from both sides)

y = 8

Now, put that value of y into either equation to solve for x (Which equation is easier??)

x + 8 = 29

x = 21 (subtract 8 from both sides)

Checking (very important):

Is 21 really 5 more than 2(8)?

21 = 5+16 ?

21 = 21? yes

Is 21 + 8 = 29 ?

29 = 29? yes

p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!

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1 year ago