Answer:
The three prizes can be awarded in 6 different ways
Step-by-step explanation:
1. P1 - Book; P2 - Calc; P3 - Card
2. P1 - Book; P2 - Card; P3 - Calc
3. P1 - Calc; P2 - Card; P3 - Book
4. P1 - Calc; P2 - Book; P3 - Card
5. P1 - Card; P2 - Book; P3 - Calc
6. P1 - Card; P2 - Calc; P3 - Book
How to find number of combinations.
Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
Step-by-step explanation:
40 cookies are in a jar. 1/5 of the cookies are chocolate cookies. Someone eats 1/4 of the chocolate cookies. How many cookies remain in the jar?
Based on the number of cookies in the jar and the number eaten by the person, the number of cookies remaining is 38 cookies.
The total number of chocolate cookies is:
= Total cookies x Percentage that is chocolate
= 40 x 1/5
= 8 cookies
Someone eats 1/4 of this which is:
= 8 x 1/4
= 2 cookies
The number of cookies left is:
= Number of cookies - Number of cookies eaten
= 40 - 2
= 38 cookies
In conclusion, there are 38 cookies remaining.
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A company sells three types of gift baskets. The basic basket has two movie passes and one package of microwave popcorn, and costs $15.50. The medium basket has two movie passes, two packages of microwave popcorn, and one DVD, and costs $37. The super basket has four movie passes, three packages of microwave popcorn, and two DVDs, and costs $72.50.
Create a system of equations and solve using matrices to find the price of each basket item.
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.
For the basic:
2x + y = 15.50 (1)
For medium:
2x + 2y + z = 37 (2)
For super:
4x + 3y + 2z = 72.50 (3)
[tex]\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =[/tex]
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
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Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.
Solving inequalities
-4(x - 7) + 8 _> 2x
Answer:
Its 2
Step-by-step explanation:
Cause if you use addition-subtraction property and the division property to solve an equation. Example 3 Solve 4 x + 7 = x - 2.
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.
Answer:
$374.55 - $94.95 = $279.60 = N
$34.95 x 8 = $279.60
N=8
Step-by-step explanation:
solve for c.
c + 3/8 = 1 1/3
Enter your answer as a fraction in simplest form.
Answer:
Let's solve your equation step-by-step.
c+
3
8
=1
1
3
Step 1: Simplify both sides of the equation.
c+
3
8
=
4
3
Step 2: Subtract 3/8 from both sides.
c+
3
8
−
3
8
=
4
3
−
3
8
c=
23
24
Answer:
c=
23
24
Does anyone know this answer??
What is a_50 of the arithmetic sequence 45, 40, 35, 30.
Answer:
5s
Step-by-step explanation:
45-5=40
Is this a function? Easy points
How to find the mode.
Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.
What fraction of 1 km is 725 m?
Answer:
It is 725/1000.
Step-by-step explanation:
The fraction can be simplified but that will result in a loss of information about its accuracy.
have a great day!
How do I solve this?
Answer:
Step-by-step explanation:
Ms. Miller decides gives a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open-response questions are worth 5 points. How many of each type of question are there?
2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
Mitchell solves the following system of equations using the elimination method.
−2x+3y=6
4x−6y=−6
He chooses to eliminate the variable x.
Which statement correctly describes his process and solution?
Answer:
Mitchell multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.
Step-by-step explanation:
67 is 0.12% of what number?
we have 67/x . 100% = 0.12 %
so x = 67.100%/0.12% = 55833,(3) ≈ 56
ok done . Thank to me :>
solve for x in the triangle
Answer:
x=9
Step-by-step explanation:
Since the sides are the same, the base angles must be the same
8x+2 = 10x-16
Subtract 8x from each side
8x+2-8x =10x-16-8x
2 = 2x-16
Add 16 to each side
2+16 = 2x-16+16
18 =2x
Divide by 2
18/2 =2x/2
9 =x
Will give brainliest if right
Answer:
2) Both are decreasing
5) Function I has a greater y-intercept than function II
Step-by-step explanation:
[] They both have negative unit rates / slope (m is the slope in y = mx + b)
[] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please help me with this homework …
what is the common denominator 4/15 and 1/3? Need answers ASAP
Answer:
15
Step-by-step explanation:
To find the common denominator we look for the LCM
15: 15,30,45,60
3: 3,6,9,12,15
Our LCM is 15
Meaning our LCD is 15
Brainliest please :)
Calculate the arithmetic mean of the numbers.
-16, -9, and 4
Answer:
-7
Step-by-step explanation:
The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ - 7
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Numbers are,
⇒ - 16, - 9 and 4
Now, We can formulate;
The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ (- 16 + (- 9) + 4 ) / 3
⇒ (- 16 - 9 + 4) / 3
⇒ - 21 / 3
⇒ - 7
Thus, The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ - 7
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Suzy needs to make a profit of at least $10 for her part of the bake sale. What is the least amount she can sell each of her cookies for in order to make a profit of at least $10?
Answer:
B.$0.43
Step-by-step explanation:
EASY
(100 Points) (Marking as Brainiest)
Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 4Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.
how do you solve this
Answer:
See below:
Step-by-step explanation:
So, the first step to solving the problem is to find out what type of triangle it is
and what rule of goemetry we can use to solve it.
Finding What Theorem We Can Use
So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.
One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:
[tex]<ABC= <ACB[/tex]
Since we know this rule, we can solve for the equation.
Solving
We can solve for this by using two things that we know:
+ Sum of all angles in a triangle is 180 degrees.
+ Bottom two sides are congruent.
Since we know that, we can solve for the answer:
[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]
After solving, we know that x is 50 degrees!
Cheers!
(Feel free to comment a question if you didn't understand something!)
7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
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How to multiply with square roots and normal number.
Answer:
To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.
Step-by-step explanation:
