On a famous episode of Star Trek, Captain Kirk and the gang played a card game called Phisbin. This problem is about another game, called Frisbin. The object of Frisbin is to throw three Frisbees at three different-sized bins that are set up on the ground about 20 feet away from the player. If a Frisbee lands in the largest bin, the player scores 1 point. If a Frisbee lands in the medium-sized bin, the player scores 5 points. If a Frisbee lands in the smallest bin, the player scores 10 points. Kirk McCoy is playing the game. If all three of his Frisbees land in bins, how many different total scores can he make?
Answer:
10 different possible scores
Step-by-step explanation:
the total possible scoring combinations are:
large bin (1) medium bin (5) small bin (10) score
3 0 0 3
2 1 0 7
2 0 1 12
1 2 0 11
1 0 2 21
1 1 1 16
0 3 0 15
0 2 1 20
0 1 2 25
0 0 3 30
Using the principle of combination, the number of different total scores that can be made is 10.
Using the combination relation which includes repetition :
[tex] \binom{n + k - 1}{k} [/tex]n = number of Frisbee = 3 k = number of bins = 3Substituting the values into the formula :
[tex] \binom{3 + 3 - 1}{3} = \binom{5}{3} [/tex]
Using the combination formula :
[tex]nCk = \frac{n!}{(n-k)!k!}[/tex]
[tex]5C3 = \frac{5!}{(5-3)!3!}[/tex]
[tex]5C3 = \frac{5!}{2!3!}[/tex]
[tex]5C3 = \frac{5 \times 4}{2} = \frac{20}{2} = 10[/tex]
The number of different total scores that he can make is 10.
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Help in this one please
Step-by-step explanation:
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Mr. Turner employer pays 100% of his medical insurance. He has rent of $800 and $600 for car payment, $100 light bill, and $300 car insurance. His payroll and income taxes are estimated to be $287.What is his necessary monthly salary to have a gross income to meet his total expenses including the payroll and income taxes? The monthly salary is
Given :
Mr. Turner employer pays 100% of his medical insurance. He has rent of $800 and $600 for car payment, $100 light bill, and $300 car insurance. His payroll and income taxes are estimated to be $287.
To Find :
What is his necessary monthly salary to have a gross income to meet his total expenses including the payroll and income taxes.
Solution :
Minimum salary to bear all expenses is :
S = Basic expenses + Payroll and taxes
S = $( 800 + 600 + 100 + 300 + 287)
S = $2087.00
Therefore, monthly salary is $2087.00 .
Hence, this is the required solution.
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
Turn this into numerical form -> one-half the sum of x and 12 Thank you!
Answer: 1/2(x+12)
Step-by-step explanation: Sum is adding.
Using the given angle measures, how many triangles can be formed (one unique, more than one, or none)? Explain your answer.
what are the angle measures?
Bernie helped design a magician costume for a school play. He used 5.75 feet of ribbon for the magician's wand. He used 11.75 feet of the same ribbon to decorate the magician's robe. If Bernie used $10.50 of ribbon in all, how much did the ribbon cost per foot?
Answer:
The ribbon cost per foot $0.6 per foot
Step-by-step explanation:
Total number of ribbon used = (5.75 + 11.75) = 17.50 feet
17.50 feet of ribbon cost = $10.50
1 foot of ribbon cost = x
Cross Multiply
17.50 × x = 1 foot × $10.50
x = 1 foot × 10.50/17.50
x = $0.6
The ribbon cost per foot $0.6 per foot
Answer: $0.75
Step-by-step explanation:
Total amount used for the ribbons = $1.50
Total feet of ribbons used = 5.75 feet + 11.75 feet = 17.5 feet
The cost of ribbon per foot will now be:
= $10.50/17.5
= $0.6 per foot
Please help i dont understand
Answer:
5
Step-by-step explanation:
find the measure
5) What is the lowest form of ratio for 84:99
The lowest form of the ratio 84 : 99 is 28 : 33.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio 84 : 99.
The lowest form of the ratio is when it can not be simplified further.
∴ 84 : 99.
= 28 : 33
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A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8. Another salesperson says the ratio in simplest form is 5/24. Which ratio is correct? What error leads to the incorrect ratio?
Answer:
The ratio that is correct is 5/24.
The error that leads to the incorrect ratio is working with the different units of length.
Step-by-step explanation:
Here is the complete question:
A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8 Another salesperson says the ratio in simplest form is 5/24 Which ratio is correct? What error leads to the incorrect ratio?
Step-by-step explanation:
From the question,
A covered bridge is 8 yards long and in a painting at the gallery, the bridge is 5 feet long.
To determine the ratio of the length of the bridge in the painting to the actual length of the bridge,
First, we will convert both lengths to the same unit and then divide the length of the bridge in the painting by the actual length of the bridge.
Convert 8 yards to feet
1 yard = 3 feet
∴ 8 yards = (8 × 3) feet = 24 feet
The actual length of the bridge is 24 feet
The length of the bridge in the painting is 5 feet
Hence, the ratio of the length of the bridge in the painting to the actual length of the bridge is 5 feet ÷ 24 feet = 5/24
Hence, the ratio that is correct is 5/24.
The error that leads to the incorrect ratio is working with the different units of length (that is, not converting both length to the same unit before determining the ratio).
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Answer:
The slope is -3/4 and the y-intercept is 1.
Step-by-step explanation:
B is the point where the line cross the y-axis, or vertical axis. Slope is the steepness of the line. Determined by rise over run. When the slope goes down 3 units, the slope goes to the right 4 units.
Answer:
slope is -3/2 and y intercepts the line at (0,1)
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$ , where $x$ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:
[tex]y=x\left(0.15-0.001x\right)[/tex]
[tex]y=0.15x-0.001x^2[/tex]
To find maximum height of second puck
[tex]y'=0.15-0.002x[/tex]
Equate the derivative equals to 0
0.15-0.002x=0
[tex]\frac{0.15}{0.002}=x[/tex]
75 = x
At x = 75
[tex]y=0.15(75)-0.001(75)^2=5.625[/tex]
So, The maximum height of second puck is greater than first puck
So, Second puck travels farther
Can someone please help me with this problem? Will mark brainliest
I will send you on comment section the statics and it's correct answer. Please mark me as a brainist.
If f(x) = 4x - 8, then find f(2).
Answer:
what is x
Step-by-step explanation:
Write as an expression or an equation: Two times a number plus six equals 16.
help please
Answer:
2x10+6=16
that's the equation
the expression doesn't have an answer so it would look like this:
2x10+6
solve for 1/3(2x-y)=z for x
Answer:
The answer is 7.
Step-by-step explanation:
Cant you math bro?
What is the image of the point (-5,-7) after a rotation of 270 counterclockwise about the origin
Answer:
Your answer will be (-5,7).
Step-by-step explanation:
Answer:
(-7,5)
Step-by-step explanation:
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).
Step-by-step explanation:
-6 - 13
I don’t get it can someone explain?
Answer:
-19
Step-by-step explanation:
So, you can also write this equation as:
-6 + -13 = -19
For example:
You owe your friend $6.
You borrow 13 more dollars from him.
Now you owe him $19.
You have $-19 because you are in debt.
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Jane decided she would spend the
of her money on Sweet Tarts. About how
many pounds of Sweet Tarts did Jane
purchase?
. Between the gum balls, Pixie Sticks, and
that she would spend the rest
Sour Patch Kids, how much money will
Nicholas have left of his allowance?
Answer:
can you comment the real question because this is just gibrish
Step-by-step explanation:
Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is the LEAST number of watches Regina can make WITHOUT having any supplies left over?
Answer:
The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches
Step-by-step explanation:
Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is This question has to do with Lowest Common
Step 1
We find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 6:
6, 12, 18, 24, 30, 36, 42
Multiples of 10:
10, 20, 30, 40, 50
Therefore,
LCM(6, 10) = 30
The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches
Answer:
30
Step-by-step explanation:
Given that :
6 watch faces per package and 10 watch bands per package :
To obtain the least number of watches that can be made without any supplies left over, we take the Least common multiple ( L. C. M) Of 6 and 10
_2__|6___|10
_3__|3___|5
_5__|1___ |5
____|1___|1
Lowest common multiple = (2 * 3 * 5). = 30
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Naomi is planning a holiday. The hotel costs $80 every night she stays and the flight costs $250,
She has a budget of $700 for her hotel and flight. How many nights will she be able to stay at
the hotel without going over her budget?
Answer:
5 nights
Step-by-step explanation:
# of nights= budget - flight {divided by} price per night
= 700$ - 250$ {divided by} 80$
= 450$ {divided by} 80$
= 5.6
=5 (round down)
Answer:
she will be able to stay 5 nights at the hotel
the second awnser and the third awnser.
Step-by-step explanation:
if the flight costs $250 and a night at the hotel costs $80 then 5 nights would equal $400 and then you would add the flight costs and it would equal $650. it can't be 6 nights cause she would go over her budget.
A bakery sells 5 bagels for 7.50.There is a proportion relationship between the cost and the number of bagels,Which equation represents the cost in dollars, c, for b bagels?
Answer:
$1.5b
Step-by-step explanation:
If a bakery sells 5 bagels for $7.50, we are to find the equation that will represent the cost of b bagels. This can be gotten using the equality postulate as shown;
5 bagels = $7.50
b bagel = $c
Cross multiply
5*c = 7.50b
Divide both sides by 5
5c/5 = 7.50b/5
c = 1.5b
Hence the cost of b bagel c is $1.5b
Answer:
Step-by-step explanation:Taylor works on an art project that uses only rectangular pieces of paper the first rectangle has length 3/8 in and width 3 in
Ranny is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Ranny has $100 to spend, how much does he intend to spend on his brother? Please answer with a numerical explanation. No other explanation required.
Answer:
8
Step-by-step explanation:
Answer:
Step-by-step explanation: ahshshhshdbd
If x= -2 what is the value of -5x + 8x/4 + 7
Answer:
13
Step-by-step explanation:
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A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road
Given:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).
Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].
New road that will run perpendicular to the first road
To find:
The equation of line for the new road.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
We have,
[tex]y=-\dfrac{3}{4}x+7[/tex]
Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{3}{4}\times m_2=-1[/tex]
[tex]m_2=\dfrac{4}{3}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is
[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]
[tex]y+15=\dfrac{4}{3}(x+3)[/tex]
[tex]y+15=\dfrac{4}{3}x+4[/tex]
Subtract 15 from both sides.
[tex]y=\dfrac{4}{3}x+4-15[/tex]
[tex]y=\dfrac{4}{3}x-11[/tex]
Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].
What’s 19,975 divided by 25 show your work
the answer to the question is 799
4x + 11y = 36, What is the x intercept (let y = 0)? *
To find the x intercept we must put zero instead of the y in the function.
Let's do it....
[tex]4x + 11(0) = 36[/tex]
[tex]4x + 0 = 36[/tex]
[tex]4x = 36[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{36}{4} \\ [/tex]
[tex]x = 9[/tex]
Thus the x intercept is 9 .
And we're done....
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Only answer if you know for sure you’re right! :)
Answer:
14x+14=14(x+1)
Suppose the average yearly salary of an individual whose final degree is a master's is $ thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $ thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $__ nothing thousand and the average yearly salary for an individual whose final degree is a master's is $__ nothing thousand.
Answer:
m = 2b - 45000
m + b = 111000
Substitute to get
2b - 45000 + b = 111000
3b = 156000
b = 52000
So m = 59000
Step-by-step explanation:
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