Answer:
1. In the presence of restrictions; A player cannot win more than one scholarship;
The number of ways is 120 ways
2. In the absence of restrictions; A player can win more than 1:
The number of ways is 216 ways
Step-by-step explanation:
Here, to award the scholarships, the restrictions we might have is that a student cannot win more than 1 scholarship
Given this restriction;
The first scholarship has 6 possible contenders
The second has 5
The third has 4
So, the number of possible ways is;
6 * 5 * 4 = 120 ways
In the absence of no restrictions where a student can win any number of scholarships;
We have the 3 scholarships being awarded in 6 possible ways
So the total number of ways will be;
6 * 6 * 6 = 216 ways
Student Council is selling tickets to the Winter
Dance. Tickets cost $5 per person or $8 per
couple. To cover expenses, at least $1200
worth of tickets must be sold. No more than 500
students can fit in the gym where the dance is
being held.
List two combinations of tickets that could be sold, so
that Student Council makes a profit, yet stays under the
room capacity.
Answer:
Two possible combinations are;
1) 200 single and 30 couples
2) 150 single and 57 couples
Step-by-step explanation:
The given parameter in the question are;
The cost of ticket per person = $5
The cost of tickets per couple = $8
The minimum worth of tickets to be sold = $1,200
The maximum number of students that can fit in the gym = 500
Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;
5·x + 8·y ≥ 1,200
x + y ≤ 500
Making 'y' the subject of both equations gives;
y ≥ 150 - 5·x/8
y ≤ 500 - x
From the graph of the inequalities created with Microsoft Excel, we have;
When x = 200, and y = 30, we get;
5 × 200 + 8 × 30 = 1240 > 1200
200 + 30 × 2 = 460 < 500
We also have;
x = 150, and y = 57, we get
Equating both values of 'y', we get;
5 × 150 + 8 × 57 = 1206 > 1200
150 + 57 × 2 = 264 < 500
Therefore, from the acceptable region in the graph, we have the following two possible combinations
1) 200 single and 30 couples
2) 150 single and 57 couples
Mrs. Sanchez went to the hair salon.
The cost of her haircut and style was
$44.35, before tax. The sales tax rate
was 8%. If she added a 20% tip to the
total amount before tax, how muchM
did she pay for the service at the
salon? (Sales tax is paid only on the
service, not the tip.)
Answer:
$53.22
Step-by-step explanation:
$53.22
Sorry If I am wrong
WILL MARK BRAINLIEST NO LINKS: If you had a cube with a side length of 4, how can your write the calculations in exponential form?
In your own words, describe what the word "congruent" means.
Answer:
heres a sentence using it
Eating five chocolate bars is not congruent with your plan for losing weight.
Triangles are considered congruent when they have the same angles.
it means
having the same size and shape
Answer:
Congruent
Step-by-step explanation:
Multiple objects the work well together.
Hope this helps (:
8.5 as a improper fraction in its simplest form please
Answer:
9/2
Step-by-step explanation:
8.5 is the same as 8 5/10.
5/10 can be simplifed to 8 1/2
8 1/2 in improper form is 9/2
Hope this helps!
What is 4 & 1/2 ÷ 1/4?
Answer:
18
Step-by-step explanation:
Convert the mixed number to an improper fraction 9/2÷1/4
Reduce the numbers with the greatest common factor 2
and then multiply the numbers 9×2=18 ✅
I need help with 2.04, 2.06 and 2.08!!
Answer:
Sorry I can't help with2.08
Hope the remaining helped
PLS mark BRAINLIEST
what is the length of BC ?
Answer:
b = √12
Step-by-step explanation:
Pythogerom Thyrom
a^2 + b^2 = c^2
2^2 + b^2 = 4^2
4 + b^2 = 16
Find the value of b
4 - 4 + b^2 = 16 - 4
b^2 = 12
b = √12
Which expression is equivalent to x + x + 4y?
A)
4xy
B)
6xy
C)
6 + xy
D)
2x + 4y
Answer:
The answer is b
Step-by-step explanation:
b is 6xy
2x+4y is the equivalent expression of x+x+4y.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is x + x + 4y
x plus x plus four times of y.
In the given expression x and y are two variables.
Equivalent expressions are expressions whose value will remain same after simplifying or solving.
We need to add x variable terms once and then with y term
x + x + 4y
2x+4y
Hence, 2x+4y is the equivalent expression of x+x+4y.
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-36 is greater than -35
True or false
Answer:
That is false. -36 is less than -35
help ill give brainliest
==========================================
Explanation:
Here's a slightly more detailed breakdown of what's going on
3x + 2y = 15 ... start with the first equation
3x + 2( y ) = 15 .... the parenthesis don't change the expression
3x + 2( 3x+5) = 15 ... replace y with 3x+5; since y = 3x+5
From here, you solve for x like you would any other single variable equation. Once you know x, you can determine y through y = 3x+5.
in a class, the ratio of boys to girls is four to three. if there are 20 boys in the class, how many girls are there? process plss
How many solutions are there to the equation below?
5x - 2 - 3x(1 + 2) = 2(2 + 3)
A. O
B. infinitely many
C. 1
A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord, the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord stretches. What is the constant of proportionality in her equation?
A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord 36 , the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord 25 this us What is the constant of proportionality in her equation? Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.
Will give brainlest
The figure is made up of a cylinder and a cone. What is the exact volume of the figure? Enter your answer in the box.
Answer:
V=160.22114
Step-by-step explanation:
Volume of cone = 47.12389
Volume of cylinder = 113.09734
Which of the numbers below is greater than -2.4? Select all that apply.
A) 1.3
B) −3.6
C) −2
D) −32
E) −5
Answer:
A) 1.3 and C) −2
Step-by-step explanation:
I need adjacent angle pair and vertical
Answer: Adjacent Angles: (1,2) and (3,4)
Vertical Angles: (1,3) and (2,4)
Step-by-step explanation:
Adjacent means that the two angles add up to 180 (in other words they form a straight line).
Vertical means that they are opposite from each other and have the same equal value.
hope this helps :)
Answer:
Adjacent angle are 4,2 and 1,3. The Vertical angles are 1,2 and 3,4.
Step-by-step explanation:
A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas than the apples?
City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?
Answer:
26 miles
Step-by-step explanation:
Using Pythagoras rule :
d = straight road connecting city Y and Z :
d = sqrt(xy² + xz²)
d = sqrt(10² + 24²)
d = sqrt(100 + 576)
d = sqrt(676)
d = 26 miles
selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?
Answer:
cost = 112
profit= 168
Step-by-step explanation:
280÷100=2.8
2.8×40=112
profit = price - cost
= 280-112
= 168
Which best describes the slope of the given line
A. Negative
B. Positive
C. Vertical
D. Zero
When would you use a pictograph? to compare change over time if the data is numerical to save space for a large set of data if the data is categorical
Answer:
to save space for a large set of data
if the data is categorical
Step-by-step explanation:
The pictograph is used if the data is categorical
What is a pictograph?A pictograph is a type of graph that uses pictures or symbols to represent data. It is best used when the data is categorical or non-numerical. For example, a pictograph can be used to show the favorite types of fruits of a group of people or the most popular colors of a group of cars.
Pictographs are useful for presenting data in a visually appealing way that is easy to understand, especially for younger or less experienced readers. They are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.
Given data ,
Let the pictograph be represented as A
Now , pictographs are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.
For example, if you want to show how the population of a city has changed over the years, a line graph or a bar graph would be a better choice than a pictograph
Hence , pictographs are useful if there is categorical data
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Complete the square
to find the vertex
of this parabola.
x?+8y+2x - 23=0
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
eli is going to make apple pie he buys 17 apples and put them and put the in paper bags to take home each bag holds 6 apples how many bags eli completely fill? how many appels are left
Answer:
Eli can only have 2 bags, and there will be 5 apples left
Step-by-step explanation:
17/6=2 with a remainder of 5
Answer:
17/6=2 with a remainder of 5
Step-by-step explanation:
can someone help me with number one please
Answer: y=1/4x-5
Step-by-step explanation:
1/4 is the slop
-5 is the y-intercept
Y=mx+b (slope-intercept form)
m=slope
b=y-intercept
y=1/4x-5
12 6x−9y>12 what inequalities is equivalent to the inequality
Answer:
use mathpapa.com for those type of questions it always helps
Step-by-step explanation:
In ΔGHI, the measure of ∠I=90°, GH = 8.5 feet, and IG = 4.7 feet. Find the measure of ∠G to the nearest tenth of a degree
Answer:
56.4
Step-by-step explanation:
Please help me with my homework! I accidentally answered 2 lol
Answer: 1 is independant
Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!
****PRE ALGEBRA - HELP ASAP BRAINLIEST & 15 PTS****
Answer:
x = 3
y = -2
(3,-2)
Step-by-step explanation:
I hope this helps!
please help!!! - The price of an item has been reduced by $1.08. The new sale price is $98.75. What was the original price?
Answer:
my answer is 106.65 that is times
Answer:
$99.83
Step-by-step explanation:
The original price was lowered by $1.08, so the new price is $1.08 less than the original. Since the new price is $98.75, subtract $1.08 to get the original price. $98.75- 1.08= $99.83