To find the number of different requests possible if a customer can request up to 3 free samples out of 13 offers, use the formula for combinations without repetition: nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items selected.
Explanation:To find the number of different requests possible if a customer can request up to 3 free samples out of 13 offers, we will use the concept of combinations. Since the order of the samples does not matter, we will use combinations without repetition.
The formula for combinations without repetition is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items selected. In this case, n = 13 (number of offers) and r can be 1, 2, or 3 (number of free samples requested).
Therefore, the number of different requests possible for 1 free sample is 13C1 = 13! / (1!(13-1)!). Similarly, the number of different requests possible for 2 free samples is 13C2 = 13! / (2!(13-2)!), and the number of different requests possible for 3 free samples is 13C3 = 13! / (3!(13-3)!).
I need some help please.
Luca, Zane, and Zion together sold 77 tickets for the school banquet. Luca sold 22 tickets and Zane sold 29 tickets. How many tickets did Zion sell?
A.) 11
B.) 26
C.) 51
D.) 55
The graph below shows a system of equations:
Draw a line labeled y equals 2x minus 5 by joining the ordered pairs 0, negative 5 and 4, 3. Draw a line labeled y equals negative x minus 2 by joining the ordered pairs negative 3,1 and 3, negative 5
The x-coordinate of the solution to the system of equations is __________.
The x-coordinate of the solution to the system of equations is 1 unit.
What is a system of equations?"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables."
"A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system."
Since, the given equation are
[tex]y = -x - 2[/tex] ----------------------- eq 1
and [tex]y = 2x - 5[/tex] -------------------eq 2
now solving them,
subtracting eq 2 from eq 1
we get,
3x = 3
x = 1 and y = -3
Hence, the x-coordinate of the solution to the system of equations is 1 and y coordinate is -3.
To know more about system of equation here
https://brainly.com/question/12895249
#SPJ2
What is 23 percent of 134?
The Game Room Of The youth center needs carpet . Sweat T found that the room Measures 12 Inches by 8 inches on the blueprint of The Scale of The Blueprint is 1 inch To 3 feet , what is the actual area of the game room
Which transformation can verify congruence by sliding one triangle over another
x-1=5x+3x-8
help this confused child
A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?
At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2
Answer:
The correct option is 3.
Step-by-step explanation:
If a line passing through two points then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that CD passes through points (0, 2) and (4, 6), so the equation of line is
[tex]y-2=\frac{6-2}{4-0}(x-0)[/tex]
[tex]y-2=\frac{4}{4}(x)[/tex]
[tex]y-2=x[/tex]
Add 2 on both the sides.
[tex]y=x+2[/tex]
The equation of line CD is y=x+2. Therefore the correct option is 3.
A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?
How can x + 3 = −2x + 5 be set up as a system of equations
What symbol is greater than
6 + 8 ÷ 2 A.3 B.7 C.10 D.12
Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables)
Answer:
The first guy is correct.
Step-by-step explanation:
Calculate the average of 7081 and 8890
The average of 7081 and 8890, is 7985.5.
Calculating the Average
To calculate the average of two numbers, you add the numbers together and then divide the sum by 2.
Here are the steps:
Add the numbers: 7081 + 8890Sum: 15971Divide the sum by 2: 15971 / 2Result: 7985.5Therefore, the average of 7081 and 8890 is 7985.5.
Michael jogs 3,520 yards every day. What is the distance in miles that he will jog in 10 days? (1 mile = 1,760 yards) How do I figure the problem? Divide 10 into 3,520?
divide 3520 by 1760 to get miles per day
3520/1760 = 2 miles per day
2 x 10 = 20 miles in 10 days
34 + 2 ⋅ 5 = ____. (Input whole numbers only.)
best answer gets BRAINIEST!!!!!!
What is the length of segment RS
Answer: 13 units
Step-by-step explanation:
The length of line segment AB with points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] is given by distance formula as :
[tex]\text{AB}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, the length of line segment RS with points [tex]R(-4,-3)\ and\ S(1,9)[/tex] is given by distance formula as :
[tex]\text{RS}=\sqrt{(1-(-4))^2+(9-(-3))^2}\\\Rightarrow\ RS=\sqrt{(5)^2+(12)^2}\\\Rightarrow\ RS=\sqrt{25+144}=\sqrt{169}\\\Rightarrow\ RS=13[/tex]
Hence, the length of segment RS= 13 units
subtract the fractions and simplify answer: 9- 5 1/3
Answer:
3 2/3
Step-by-step explanation:
9 - 5 1/3
9 = 8 3/3
8 3/3 - 5 1/3 = 3 2/3
Hope this helps :)
A commuter has $245 in his commuter savings Account. This account changes by -$15 each week he buys a ticket.
A- if the account changes by -$240, for how many weeks of tickets did the commuter buy?
B- if the commuter wants to buy 20 weeks of tickets, how much must he add to his accoumt?
the nutritional chart on the side of a box of cereal states that there are 93 calories in a 3/4 cup serving how many calories are in 5 cups of cereal
5 / 3/4 = 5/1 * 4/3 = 20/3 = 6 2/3
6 2/3 * 93 = 20/3 * 93/1 = 1860/3 = 620 calories
Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3.86P P equals 3.86 over n n equals 3.86 over P P = 3.86n
In the United States in 1990, about one person in 20 was 75 years old or older. Write this fraction as a percent
Question 4 (Fill-In-The-Blank Worth 4 points)
(05.01)The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.
Triangle with height of 16 inches and base of 14 inches.
Hello,
The correct answer is 112 Square Inches.
Hope this helps!!!! Happy Holidays!!!! (:
Name two integers whose product is negative.
I really need help! come ASAP!!!
A sporting goods store buys a basketball for $15.00 and then adds a 75% markup to the price. How much will the basketball sell for in the store?
Exactly 1/20 of the students in Mr.Perez's class have a bird.What Percentage of his students has a bird?
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon
Answer:
Mars: [tex]\Delta W = 144\,lbf[/tex], Moon: [tex]\Delta W = 199.2\,lbf[/tex]
Step-by-step explanation:
The gravitational acceleration experimented by the same person on the Moon is equivalent to a sixth of the indicator on Earth and the same indicator on Mars is about 40 % of the terrestrial acceleration. Then, the difference in weight are computed below:
Mars:
[tex]\Delta W = (1 - 0.4) \cdot (240\,lbf)[/tex]
[tex]\Delta W = 144\,lbf[/tex]
Moon:
[tex]\Delta W = (1 - 0.17) \cdot (240\,lbf)[/tex]
[tex]\Delta W = 199.2\,lbf[/tex]
Solve the inequality 9(x - 3) < 4(x + 10).
x < 13/5
x > 13/5
x < 67/5
x > 67/5