Answer:
170 degrees
Step-by-step explanation:
110+ 60= 170
x angle = 170 degrees
please help me with this
I will give brainlist
questions number 12 and 13
Answer:
hope this helps you have a great
Problem 10
(a) A teacher selects a team of three from a group of students. She also
selects a team of two (students can be in more than one team). The
teacher notices that there are twice as many ways of choosing the
team of three as there are the team of two. How many students are
in the group?
(b) For another group of students, there are three times as many teams
of three which can be selected as there are teams of two. How many
teams of three can be selected from this group?
Using the combination formula, it is found that:
a) There are 8 students in the group.b) 165 teams of three can be selected from this group.---------------------------
The order in which the students are chosen is not important, which means that the combination formula is used to solve this question.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
---------------------------
Question a:
3 students from a set of n, thus: [tex]C_{n,3}[/tex]2 students from a set of n, thus: [tex]C_{n,2}[/tex]Twice as many ways to choose the teams of 3 than the teams of 2, thus:
[tex]C_{n,3} = 2C_{n,2}[/tex]
[tex]\frac{n!}{3!(n-3)!} = 2\frac{n!}{2!(n-2)!}[/tex]
We have to solve for n, thus:
[tex]2!n!(n-2)! = 2(3!)(n!)(n-3)![/tex]
[tex](n-2)! = 3!(n-3)![/tex]
From the factorial concept: [tex](n-2)! = (n-2)(n-3)![/tex], thus:
[tex](n-2)! = 3!(n-3)![/tex]
[tex](n-2)(n-3)! = 3!(n-3)![/tex]
[tex]n - 2 = 3![/tex]
[tex]n - 2 = 6[/tex]
[tex]n = 8[/tex]
There are 8 students in the group.
---------------------------
Question b:
First we have to find the total number of students, using the same logic as item a.
[tex]C_{n,3} = 2C_{n,2}[/tex]
[tex]\frac{n!}{3!(n-3)!} = 3\frac{n!}{2!(n-2)!}[/tex]
[tex]2!n!(n-2)! = 3n!3!(n-3)![/tex]
[tex]2(n-2)(n-3)! = 18(n-3)![/tex]
[tex]n - 2 = 9[/tex]
[tex]n = 11[/tex]
---------------------------
The number of teams of three is:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
165 teams of three can be selected from this group.
A similar problem is given at https://brainly.com/question/23302762
Someone please help :))
Solve for c. b/c = a
Answer:
b / a.
Step-by-step explanation:
b / c = a
b = a * c
a * c = b
c = b / a.
Hope this helps!
Which factored form is equivalent to the expression x2+ 5x +4
give an example of a true statement that has a false converse?
it’s for geometry math.
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.
[tex] \frac{1}{ \sqrt{2} + 1 } + \frac{1}{ \sqrt{2} + \sqrt{3} } + ... + \frac{1}{ \sqrt{n + 1} + \sqrt{n} } \leqslant 20[/tex]
help....................
Answer:
all i see is ..........
Step-by-step explanation:
HELP DUE IN 15 MINS!
Solve for x:
2x - 5 = -x + 19
Answer:
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Plz help me with this binary division whith full process/explanation 1001010 ÷ 101
Answer:
Step-by-step explanation:
Its like doing a long division with base 10 numbers:
1110 <----------- Quotient
101)1001010
101
1000
101
111
101
100
So the answer is 1110 remainder 100.
We can confirm this by converting to decimal numbers
1001010 = 74 and 101 = 5.
74 / 5 = 14 remainder 4.
6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
distributive property
In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:
6(3c - 5d + 6) = 6(1)
Now, we can divide both sides by 6, and we get:
6(3c - 5d + 6) = 6(1)
3c - 5d + 6 = 1
3c - 5d = -5
starting at school, you and your friend ride bikes in different directions- you ride 4 blocks north and your friend rides 3 blocks west. at the end of the adventure, how far apart are you and your friend?
If this trapezoid is moved through the
translation (x+1, y-3), what will the
coordinates of B' be?
5
B
С
4
3
A А
2
D
1
-7
-6
-5 -4
-3
-2
-1 0
1
2.
3
4
B' = ([?], [ ]
-2
Based on the fact that there are 4 points which are given below, we have to move the trapezoid to the points of B will be (x+1, y-3).
The points on the graph are:
A(-6,2) =>A'(-5, -1)B(-5,4) =>B'( -4,1)C(-2,4)=> C'(-1,1)D( 1,2) => D'(2,-1)What is a trapezoid?A trapezoid is regarded as a quadrilateral that has only one pair of opposite sides that are said to be parallel.
It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid can fit into the translation movement (Point B)is if it is moved to the points of (x+1, y-3) on the graph.
B(-5,4) =>B'( -4,1)
B= 5-4, 4-3 = +1, -3.
Learn more about trapezoid from
https://brainly.com/question/1410008
After translation, the coordinate of point B' is (-4, 1).
Use the concept of coordinate defined as:
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The given translation is:
(x+1, y-3)
The coordinate of B' is (-5, 4)
Now apply the translation on the point B'
(-5+1, 4-3) = (-4, 1)
Hence,
After translation, the coordinate of point B' is (-4, 1).
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ3
To the person trying to hlp me here :D
Answer:
47. n = -3
48. n = -15
49. n = -13/3
50. n = -17/3
Step-by-step explanation:
47.
6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.
48.
6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.
49.
6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.
50.
6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.
what is the solution to the system of equations y=x-2 2x+2y=4
Answer:
2
Step-by-step explanation:
2x+2(x-2)=4
2x+2x-4=4
4x=4+4
4x=8
X=8÷4
X=2
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP
alright I can help!!
so slope intercept form is y= mx +b
20y=16x+120
y=(16x+120)/20
final answer: y=(4/5)x +6
5(2x−3) Simplify the Expression
Answer:
[tex]10x−15[/tex]
Step-by-step explanation:
[tex]5(2x−3)[/tex]
[tex]5(2x)+5( −3)[/tex]
[tex]10x+5(−3)[/tex]
[tex]10x−15[/tex]
Hope it is helpful....Answer:
[tex]10x + 15[/tex]
Step-by-step explanation:
[tex]5(2x−3) [/tex]
[tex]5(2x)+5(−3)[/tex]
[tex]10x + 15[/tex]
Hope it is helpful......What is the area of a rectangle with a length of 5 cm and a width of 3 cm
Hi there!
»»————- ★ ————-««
I believe your answer is:
15cm²
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
fill the blanks.......
Step-by-step explanation:
(p+1)³
p³+3×p²×1+3×p×1²+1³
p³+3p²+3p+1
I hope it helped U
stay safe stay happy
I hope it will be helpful to you .
if Mr. Davis ate 20 of the 50 chocolate chip cookies from the bag,what percent of the bag of cookies did he eat?
Answer:
He ate 40% of it
Step-by-step explanation:
20/50 is 2/5, which is basically 4/10 therefore equaling 40%
Which of the following rules should be used to find the area of a triangle?
Divide area by length.
Divide the sum of the upper and lower sides by 2.
Multiply length by width by height.
Multiply base by altitude.
none of these
Answer:
none of these
Step-by-step explanation:
area of the triangle =height ×base and then divide by 2
ayudenme con esto por favor
Answer:
the answer is on the computer
Step-by-step explanation:
It costs $2 per person to ride the Ferris wheel. Write an equation relating the cost, c, to the number of people, n.
Please help.
Answer:
c =2n
Step-by-step explanation:
cost c is given by cost of each person multiplied by number n of people
Please Help I will give brainiest to the one that is honest and right thank you!
Answer:
1/3
Step-by-step explanation:
I guess it's asking for probability of prime number
so we have 3 card and only one of them is prime (5)
so the answer is 1/3
Answer:
i would say 1/5 because it is between 2 and 12
Step-by-step explanation:
A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it back
in the jar and then pull a green?
Show Your Work
Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
Always reduce when finding probability
Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:
Answer:
Step-by-step explanation:
Earnings per week = $ 400
Earning for 'w' week = 400*w + holiday bonus
= 400w + 250
Earnings at 4 weeks = 400*4 + 250
= 1600 + 250
= $ 1850
Earnings at 12 weeks = 400*12 + 250
= 4800 + 250
= $ 5050
Earnings at 36 weeks = 400*36 + 250
= 14400 + 250
= $ 14650
My backyard is 5.5 metres by 12 metres. (That is a length of 5.5 m and a width of 12 metres). I have poured a concrete slab in the top right corner where I have placed my shed which is 3 metres by 3 metres. I am also going to create a flower bed which will be half a metre from the fence on the left side and top end of the backyard; hugging the fence.
I need to order buffalo grass to cover the rest of the space. How much square metres worth of Buffalo Grass will I need?
How much will it cost me considering that Bunnings sell Buffalo Grass for $14.20 per metre squared?
Step-by-step explanation:
7+7.857836-$(92726940)
A wood board 59 inches long is cut into three parts. The first part is twice the
length of the second part. The third part is 5 less than the second part. How long
are the three parts?
Answer:
first part is 32 inches, second part is 16 inches, third part is 11 inches.
Step-by-step explanation:
2x + x + x - 5 = 59
4x + 64
x = 16.
we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.
What is the area of a rectangle with a length of 5 cm and a width of 3 cm
Answer:
15 cm
Step-by-step explanation:
Mandy emptied the bags and put the candy into equal groups.How many candies were in each group?
Answer:
25
Step-by-step explanation:
40+76+84 = 200.
200 ÷ 8 = 25
Answer: 25.