Answer:
192 total ways
Step-by-step explanation:
This time, we have already 2 selected kings, therefore we must find the remaining 3 cards.
There are two general ways to do this:
Case 1: you draw two of some other matching cards and another king
Case 1 - K + X + X where K is a King and X is some other card than a King. So there are 2 Ks to draw. Then there are 12 other cards that are not from the king, and since you get two of them it would be 2 taken from 4:
4C2 = 4! / (2! * (4-2)!) = 6
Therefore there are 6 different arrangements of the two.
So 2 * 12 * 6 = 144 total ways to do this.
Case 2: you draw three of some other matching cards
Case 2 - X + X + X where the Xs are all non-king cards. So 12 cards to choose from, and then calculate 3 taken from 4:
4C3 = 4! / (3! * (4-3)!) = 4
Therefore there are 4 different arrangements of the three. So 12 * 4 = 48 total ways to do this.
Which means that:
144 + 48 = 192
There are 192 total ways to get a full house when you start with two kings.
There are 213 guests waiting in line for a water-rafting ride at Splash Pad Water
Park. A maximum of 7 people can ride a raft at one time. What is the smallest
number of rafts the water park needs for this number of guests? HINT: Is there a
remainder in this problem? If so, solve the division problem and then go back and
read the question again carefully. *
Your answer
Answer:
I divided 213 and 7 and the answer was 30.4. So the answer is 30 rafts.
Step-by-step explanation:
Divide the 2 numbers..... 213/7=30.42855714
Round the decimal to the nearest tenth..... 30.4
Round 30.4 to the nearest whole..... 30
I hope I've helped! Please leave a Vote and Thanks!
Final answer:
The smallest number of rafts the water park needs for 213 guests waiting in line is 31.
Explanation:
To determine the smallest number of rafts needed for 213 guests, we divide the total number of guests by the maximum number of people that can ride a raft at one time.
Dividing 213 by 7, we get a quotient of 30 and a remainder of 3.
Since we cannot have a partial raft, we need to add another raft to accommodate the remaining 3 guests. Therefore, the smallest number of rafts the water park needs is 31.
Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?
Answer:
age of Sam= 15 years
age of Nina = 25 years
Step-by-step explanation:
Let Nina's age be X years
Let Sam's age be Y years
Five years ago Nina's age will be X- 5 years
Five years ago Sam's age will be Y- 5 years
Given in question
Five years ago, Nina was twice as old as Sam
writing it mathematically using X and Y we have
Nina's age = 2 * Sam's age
X- 5 = 2 *(Y- 5)
X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A
__________________________________________________________
Five years in future Nina's age will be X+ 5 years
Five years ago Sam's age will be Y+ 5 years
Given in question
In five years, she will be 1.5 times as old as Sam
writing it mathematically using X and Y we have
Nina's age = 1.5 * Sam's age
X+5 = 1.5 *(Y+ 5)
X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B
_______________________________________
in equation A we have X = 2Y - 5
in equation B we have X = 1.5Y + 2.5
equating equation A and B we have
2Y - 5 = 1.5Y +2.5
=> 2Y - 1.5Y = 2.5 + 5
=> 0.5Y = 7.5
=> Y = 7.5/0.5 = 15
from equation A we have
X = 2Y - 5 (substituting the value of Y = 15 in equation we have)
X = 2*15 - 5 = 25
Therefore age of Sam= 15 years
age of Nina = 25 years
Answer:
Nina's 25 and Sam's 15
Step-by-step explanation:
The school that Julio goes to is selling tickets to a spring musical. On the first day of ticket sales
the school sold 12 senior citizen tickets and 1 child ticket for a total of $75. The school took in
$170 on the second day by selling 1 senior citizen ticket and 11 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
A) senior citizen ticket: $4, child ticket: $23 B) senior citizen ticket: $15, child ticket: $5
C) senior citizen ticket: $7, child ticket: $8 D) senior citizen ticket: $5, child ticket: $15
Answer:
the answer is D
Step-by-step explanation:
12 times 5 equals 60 1 times 15 eqauls 15 60+15=75
Answer:D
Step-by-step explanation:12 senior tickets times 5 dollars each equal $60 plus 15 dollars for one child ticket equal $75
11 child tickets times 15 dollars each equal $165 plus 5 dollars for 1 senior ticket equal $170
Which of the following equations have exactly one solution?
Choose all answers that apply:
A
-5x + 12 = 5x + 12
®
-5x + 12 = 5x – 5
©
-5x + 12 = -12x – 12
)
0
-5x + 12 = -5x – 12
Show Calculator
Upon evaluating each equation, it is determined that options B (-5x + 12 = 5x - 5) and C (-5x + 12 = -12x - 12) are the ones that have exactly one solution, while options A and D have no solutions.
Explanation:To determine which of the given equations have exactly one solution, we can analyze each equation individually:
A. -5x + 12 = 5x + 12: Both sides of the equation are equal except for the opposite signs of the x terms. This means that, no matter what value x takes, the x terms will cancel each other out, making the equation incorrect. Hence, this equation has no solutions.B. -5x + 12 = 5x - 5: The x terms here can be moved to one side and the constants to the other. Adding 5x to both sides gives -5x + 5x + 12 = 5x + 5x - 5, simplifying to 12 = 10x - 5. Thus, this equation can be solved for x, indicating it has exactly one solution.C. -5x + 12 = -12x - 12: Again, we move all x terms to one side and the constants to the other to get -5x + 12x = -12 - 12, simplifying to 7x = -24. Solving for x, we get x = -24/7, indicating that this equation also has exactly one solution.D. -5x + 12 = -5x - 12: In this equation, the x terms are identical on both sides, meaning they will cancel out, leaving us with 12 = -12, which is never true. Hence, this equation has no solutions.From this analysis, we see that options B and C have exactly one solution.
f K = {(x, y) | x - y = 5}, is Set K a function?
Answer:
Yes, because the linear function x - y = 5 is a function
Step-by-step explanation:
x - y = 5 can look like y = x - 5 with slope 1 and y-intercept -5
so this is a function which makes set K a function.
consider the following function f(x)= -9 (1/3) x+3
Answer:
x = 1
Step-by-step explanation:
Download photomath and you can find out.
Answer:
Part A: What is the y-intercept for f(x)? Write your answer as a fraction.
-1/3
Part B: What is the x- intercept for f(x)?
undefined
Part C: Find f(-1)
-1
Step-by-step explanation:
Hope this helps those on Section 7 Topic 4
PLEASE HELP ASAP
1) (7.01, 7.02, & 7.03) Choose a trinomial to factor. Show ALL work: 3x2 − 15x + 18 10a2 + 5a − 30 4n2 − 10n − 24
2) (7.05) Using the function from question #1, determine the zeros & the y-intercept of the function. Show ALL work, then GRAPH.
3) (7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
4) (7.04) Determine the expression that shows a difference of perfect squares and factor it, showing ALL work.
16x2 − 81
14x2− 49
9x2 + 100
Answer:
1) 3x² - 15x + 18
2) y-intercept: 18
Zeros: 2 and 3
3) 12x ; (x - 6)²
4) 16x² - 81; (4x - 9)(4x + 9)
Step-by-step explanation:
3x² - 15x + 18
3(x² - 5x + 6)
3[x² - 2x - 3x + 6]
3[x(x - 2) - 3(x - 2)]
3(x - 2)(x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Zeros: 2 and 3
y-intercept: at x = 0
3(0-2)(0-3) = 18
x² - 2(x)(b) + 6²
b = 6
2x(6) = 12x
(x - 6)²
16x² - 81
(4x)² - 9²
(4x - 9)(4x + 9)
It takes 32 men to renovate 6 flats in 24 days.
(a) How many flats can 48 men build in 40 days?
Answer:
[tex]3[/tex]
hope this helps
The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle?
Answer:
Triangles I and III are right triangles, because they are similar to a 3-4-5 right triangle.
Step-by-step explanation:
The Pythagorean theorem tells you of the relationship between the sides of a right triangle. A set of integer side lengths that satisfies the Pythagorean theorem is called a Pythagorean triple. There are an infinite number of these, and there are formulas for finding them.
The smallest Pythagorean triple is {3, 4, 5}, and it is generally the first one you learn about. It is special for a variety of reasons. One of them is that it is the only Pythagorean triple that is an arithmetic sequence. Any multiple of a Pythagorean triple is also a set of side lengths that will form a right triangle.
__
If we multiply the {3, 4, 5} triple by 2/10, we get {6/10, 8/10, 1}, which matches the side lengths of Triangle I in your list. Multiplying by 1/13 gives {3/13, 4/13, 5/13}, which matches the side lengths of Triangle III in your list. That means both Triangles I and III are right triangles.
__
The Pythagorean theorem tells you that a right triangle with sides a, b, and hypotenuse c will satisfy the relation ...
c² = a² +b²
If the triangle is isosceles, such that a=b, then the hypotenuse will be ...
c² = a² +a² = 2a²
c = a√2
In reduced terms, the sides of an isosceles right triangle have the ratios ...
{1, 1, √2}
That is, there is no rational Pythagorean triple that describes an isosceles triangle. Triangle II cannot be a right triangle.
_____
Additional comment
Just so that you can see {3, 4, 5} is a Pythagorean triple, we show you ...
5² = 3² +4² ⇔ 25 = 9 + 16
Other small integer triples that may be seen in math problems are ...
{5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, {11, 60, 61}, {12, 35, 37}
what is the area of the rectangle ?
Answer:
54.
Step-by-step explanation:
The area is length x width.
6 x 9 = 54
What is the distance from (8,3) and (3,1) on the coordinate plane?
Answer:
C
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (8, 3) and (x₂, y₂ ) = (3, 1)
d = [tex]\sqrt{(3-8)^2+(1-3)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-2)^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex] → C
If 5<2x+3<11, what is the possible range of value of -4x-6
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
A skateboard is on sale for 60% off the regular $80 price. What is the sale price?
$60
$32
$48
$20
Answer:
The answer is 32
Step-by-step explanation:
hope this helps
Answer:
$32
Step-by-step explanation:
Which expression is not equal to the expression shown?
33 3-4
3 3 4 34
3*+34
37 - 30
30+
30
3
3 * 36
*3*
33 x 34
30*34
Answer:
Step-by-step explanation:It’s actually the fourth one because all of them equal 2187 the only one is the last one because it equals 1/2187
How to find the mean and standard deviation of the sampling distribution of the sample proportion when a random sample of 100 people were chosen based on a study at 76% of Americans believe
Answer:
bvcxz
Step-by-step explanation:
In a normal quadratic function how many
times does it cross the x intercept?
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
A quadratic function can have either 0, 1 or 2 x-intercepts. This means that the graph of a quadratic function can intercept the x-axis 0, 1 or 2 times.
Attached are some graphical representations of all three cases.
I hope this helps!
Find the third side in simplest radical form:
How is Johnson's speech similar to Kennedy's?
Check all of the boxes that apply.
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Answer:
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Step-by-step explanation:
i think it's tho i hope this help
The reasons why Johnson's Speech is similar to Kennedy's Speech is because;
A: He sees the future as a test.
B: He sees his program as a challenge.
C: He says his program depends on the actions
What is the similarity in speech?John F. Kennedy and Lyndon B, Johnson were former Presidents of the USA and they delivered speeches on civil rights. Now, both Kennedy and Johnson were effective in their speeches by utilizing their credibility as Presidents to back up the statistical and logical evidence.
Now, although Kennedy was more effective in delivering his speech due to his use everyday situations to appeal to the audience’s emotion, there were some similarities between his speech and that of Johnson and they are;
A: He sees the future as a test.B: He sees his program as a challenge.C: He says his program depends on the actionRead more about similar speeches at; https://brainly.com/question/25887038
The circumference of a
circle is 75.5 ft. What is the radius and
diameter of this
circle? Use 3.14 for Pi.
Round your answer to the
nearest hundredth place
Find the inverse of the function.
y = X - 9
Answer:
x=y+9
Step-by-step explanation:
so what we do here is take x-9 and add 9 to both sides giving us y+9=x all we do is put x first and y+9 last and we have the inverse
Which three lengths could be the lengths of the sides of a triangle? 6 cm, 22 cm, 10 cm 7 cm, 25 cm, 11 cm 9 cm, 22 cm, 11 cm 10 cm, 14 cm, 23 cm
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
WILL NAME BRAINLIST!!
Deepak wrote an equation to show the total value of a stack of quarters. The equation is y = 0.25 x, where y represents the total value and x represents the number of quarters. Which table below represents this information?
(these letters will represent the pictures in order.)
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The fourth graph makes sense, and follows Deepak's equation. To check if a graph follows an equation, all you have to do is substitute the values of x and y into the equation and see if they follow the equation.
Answer:
it would be the last one
Step-by-step explanation:
Plz answer with explanation will mark brainliest
Answer:
20 minutes
Step-by-step explanation:
2 feet below sea level is -2
The opposite is 2 feet above sea level +2
They are +2 ft at 20 minutes
Answer:
C
Step-by-step explanation:
2 feet below sea level: depth = +2
Opposite: -2
Time: at 50 minutes
DEF is a right angle ?
Answer:
False
Step-by-step explanation:
Since we want to test if it is a right triangle, we can use Pythagorean Theorem
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
In the given triangle, 23 and 26 are the legs, since they are shorter sides. 42 is the hypotenuse, since it is the longest side.
Therefore, a is 23, b is 26 and c is 42. Substitute these values into the equation
23^2+26^2=42^2
Evaluate the exponents
529+676=1764
Add 529 and 676
1205=1764
This statement is not true, 1205 is not equal to 1764. Therefore this is not a right triangle.
Solve for y. 2y + 10 = –3y
Answer:
y = -2
Step-by-step explanation:
2y + 10 = -3y
subtract 2y from both sides
10 = -5y
divide by -5 for both sides
-2 = y
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report fatigue.
Which calculation shows that selecting a subject who took the drug and selecting a subject who reported fatigue are dependent events?
Choose all answers that are correct.
— P(drug) = 0.6
P(drug | fatigue) ≈ 0.727
0.6 ≠ 0.727
— P(fatigue) = 0.44
P(fatigue | drug) ≈ 0.533
0.44 ≠ 0.533
— P(drug) = 0.6
P(fatigue) ≈ 0.44
0.6 ≠ 0.44
—P(drug and fatigue) = 0.32
P(drug) • P(fatigue) = 0.264
0.33 ≠ 0.264
Answer:
Therefore, the correct options are;
-P(fatigue) = 0.44
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
--P(drug and fatigue) = 0.32
P(drug)·P(fatigue) = 0.264
Step-by-step explanation:
Here we have that for dependent events,
[tex]P(A \, and \, B)= P(A)\times P(B\left | \right A )[/tex]
From the options, we have;
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
P(drug) = 0.6
P(drug and fatigue) = 0.32
Therefore
P(drug and fatigue) = P(drug)×[tex]P(fatigue \left | \right drug)[/tex]
= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)
Therefore, the correct options are;
-P(fatigue) = 0.44
[tex]P(fatigue \left | \right drug)[/tex] = 0.533
--P(drug and fatigue) = 0.32
P(drug)·P(fatigue) = 0.264
Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.
what is 2 square root of 45 in simplest radical form?
Answer:
6√5
Hope this helps :)
(2.2 • 10^-3)(4.10^-2) please help
Answer:
it would be 0.000088 hope this helps also is it just 4 or is it 4.10
Step-by-step explanation:
What percentage of Coach passengers did not check bags
Answer:
35.2%
Step-by-step explanation:
Add all of the passengers up for the total.
10 + 81 + 14 + 57 = 162
The fraction for how many Coach passengers that did not check their bags is:
57/162
Simplify to a decimal and multiply by 100 to get percent.
Answer: 41.3
Step-by-step explanation:
Flies in a nest double every 12 hours. If the nest starts with 10 flies, how many will you have in 3 days?