Answer:
The answer is explained below
Step-by-step explanation:
This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.
Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes
Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes
All together, they caught 25 fish
Therefore it can be represented by the equation:
x + x + y + 3y = 25
2x + 4y = 25
2x = 25 - 4y
x = (25 - 4y)/2
The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son
How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626
Answer:
A)[tex]^{28}P_4}=491400[/tex]
Step-by-step explanation:
Total number of members = 28
We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members
When 1 member is selected for Chairman position
So, 27 members will be left for the selection for the position of Vice chairman
When 1 member out of 27 is selected for Vice chairman position
So,26 members will be left for the selection for the position of secretary
When 1 member out of 26 is selected for secretary position
So,25 members will be left for the selection for the position of treasurer
Permutation relates to the act of arranging all the members of a set into some sequence or order,
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.
So, we will use permutation over here
Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]
Substitute n = 28 and r = 4
So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]
So, Option A is true
A)[tex]^{28}P_4}=491400[/tex]
Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.
The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
The given parameters
Number of members = 28 Number of positions = 4Total arrangement of the different positions available[tex]nP_r =\frac{n!}{(n- r)!}[/tex]
[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]
Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
Learn more about permutation here: https://brainly.com/question/3086912
Which point best approximates √3?
A
B
C
D
Answer:
B
Step-by-step explanation:
Square root of 3 is between 1 and 2
1^2 =1
(sqrt(3)) ^2 =3
2^2 = 4
So it must be point B
Answer:
B
Step-by-step explanation:
Need help ?? Anyone?
Answer:
64
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore:
x+y=180
x+116=180
x=180-116=64 degrees
Hope this helps!
Answer:
∠x = 64°
Step-by-step explanation:
∠x+∠y=180°
∠x+116°=180°
Subtract 116° from both sides
∠x=64°
30 out of 65 students in the class are bus riders. In lowest terms,
out of
students are bus riders.
Answer:
6 out of 13 (6/13)
Step-by-step explanation:
30/65
Simplify by dividing both sides by 5
6/13
Tada!
please be neat when answering
Answer:
In fig. 9, angle Y = angle 110° (vertically opposite angles )
Angle x = angle z = 180 - 110 = 70° (angles on a straight line)
In fig 10, angle y = 78°
Angle x = angle z = 180-78 = 102°
In fig 11, angle x = 83°
Angle y = angle z = 180-83 = 97°
In fig 12, angle y = 37°
Angle x = angle z = 180-37 = 143°
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
Answer:
[tex]72[/tex]
Step-by-step explanation:
Jeremy is [tex]x[/tex] years-old.
Jeremy's grandfather is [tex]4x[/tex] years-old.
Adding their ages together will get [tex]90[/tex]
[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]
Jeremy's grandfather age would be:
[tex]4x\\4(18)\\72[/tex]
Answer: 72
Step-by-step explanation:
Let Jeremy age be x
Granfather' age is 4x
x + 4x = 90
5x = 90
x = 90/5 = 18
Jeremy' age is 18
Granfather age is 4x = 4*18 = 72
Find the area of the following shapes:
Answer:
24 square units
Step-by-step explanation:
You apply area of a trapezium
Solve for z plz help me
Answer:
Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).
Answer:
Z= 83
——————
(-c + 6)
Step-by-step explanation:
Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).
Answer:
cos (α + β) = 0.9196Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.
In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5
Answer:
None, unless c was a typo
Step-by-step explanation:
Distributing gets us xy+2x=5
None of the options is that
If you meant option c as xy+2x = 5 though, then it would be correct
A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking
oil. How many milliliters of water are needed if 50 milliliters of cooking oil
were used?
O A) 25 ml
OB) 100 ml
O C) 200 ml
OD 1,000 ml
Answer:
B
Step-by-step explanation:
20x2 is 40, so 50x2 is 100
Answer:
BBBBBBBBBBBBBBBB
Step-by-step explanation:
calculate the surface area of the following shape
1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2
Answer:
210cm2
Step-by-step explanation:
Area of rectangle: HxW
Area of Triangle: 1/2 x bx h
There are 3 rectangles with the length of 14x3
14x3x3
= 14x9
= 126cm2
There are two triangles with the height of 12 and base of 14.
1/2x 14x 12
= 1/2x 168
= 168/2
= 84cm2
Now finally add them together:
84+126
= 210cm2
find the distance between 6,-2 and 1,-2
The distance between (6,-2) and (1,-2) is 5.
Answer:
The distance:
[tex]d = 5[/tex]
Step-by-step explanation:
To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]
-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{25 + 0^{2}}[/tex]
[tex]d = \sqrt{25 + 0}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
So, the distance is [tex]5[/tex].
What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation:
Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27
Answer:
The answer is B.
Step-by-step explanation:
Mark me brainiiest.
ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
What addition expression is shown on the
number line?
8
+
?
15
Answer:
Your answer is seven
the correct answer is 15 + 8.
can someone please help me on this question?
Answer:
The second figure is rhombus but the first figure is square
At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?
Answer:
28
Step-by-step explanation:
If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.
The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
The equation for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
The total number of skydivers in the plane n = 8 skydivers
Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon
So , the number of choosing skydivers x = 2
Now , the total number of ribbons used is calculated by combination
So , the equation is
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of n and x in the equation , we get
⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )
= 8! / ( 6! x 2! )
= 8 x 7 / 2 x 1
= 56 / 2
= 28 ribbons
Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
To learn more about combinations click :
https://brainly.com/question/28065038
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Match each equation to the situation it represents.
Answer:
Step-by-step explanation:
1) Kate:
Number tickets = x
Cost of 10 tickets = 10x
Parking fee = $ 5
Total money spend = $ 35
10x + 5 = 35
2)Ram:
Number of pen given to a friend =x
Number of pen given to 5 friends = 5*x = 5x
Number of pens left with him = 10
Total pens he had before giving to his friends = 35
5x + 10 = 35
Answer:
Left. Right
1. - c
2. - b
3 - a
What is the absolute value of -12 – 5?
Answer:
17
-12 - -5 = -17
-17 is 17 numbers away from 0 so 17 is the answer
Hope this helps
Step-by-step explanation:
There are 13 plates and 9 cups on a shelf in a cabinet. what is the ratio of the number of plates to the number of cups
Answer:
[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]
Step-by-step explanation:
[tex]plates = 13 \\ cups = 9[/tex]
So the ratio of the number of plates to the number of cups.
[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?
(8, 4)
(4, –1)
(–8, –4)
(–4, –1)
Answer:
(–4, –1)
Step-by-step explanation:
Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.
Hence, the coordinate pair for the translated point S' are (–4, –1).
What is the square root of m^6?
M^2
M^3
M^4
M^5
Answer:
m³
Step-by-step explanation:
√m⁶=m⁶/²=m³
Answer:
[tex] {m}^{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
On a soccer team 40% of the goal are scored by a star player on the team.If 70 goals were scored all season, how many are scored by the rest of the team? Plz help me
Answer:
42
Step-by-step explanation:
During the season, 40% of the goals are scored the by the star player. This means that 60% of the goals are scored by everyone else.
100% - 40% = 60%
To find how many goals are scored by the rest of the team, convert the percentage to a decimal. You then have to multiply the decimal by the total goals scored.
60% = 0.6
70 × 0.6 = 42
The rest of the team scored 42 goals.
Answer:
42
Step-by-step explanation:
40% of 70=28
70-28=42
2 Points
A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts
are drawn from a single deck. In order to win, the next card the player draws
from the deck must be higher than the highest card already drawn. What is
the probability that the next card the player draws is a winning card? (An ace
is considered to have a value of 1 and jacks, queens, and kings have a value
of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,
9,10,J,Q,K,
A. 25%
B. 24%
C. 32.6%
D. 8%
Answer:
C) 32.6%
Step-by-step explanation:
Given:
Total number of cards = 52
3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.
To win the next card drawn must be greater than the highest card already drawn.
Required:
Find the probability of winning
Here, the highest card already drawn is 9 of spades or 9 of hearts.
The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.
Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).
Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]
Convert to percentage:
0.326 * 100 = 32.6%
Is the square root of 16 + 3/4
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
