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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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
Help in this one please
Step-by-step explanation:
hope this helps, good Night
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
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:
What’s 19,975 divided by 25 show your work
the answer to the question is 799
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem
We can express Benjamin's age with x, we can express Luca's age as y.
x-6=2y
So, if x=12
2y=6
y=3
Therfore, Lucas is 3 years old
Evaluate the following expression.
3-2 x 33
3-1
A. 8
B. 9
C. 12
D. 15
Answer:
is -6x to the 33'd power tims 3 - 1. 3−2x33(3)−1
Step-by-step explanation:
Find the x - intercept and y - intercept of 3x + 27= y
Answer:
x-intercept is (-9,0)
y-intercpt is (0,27)
Step-by-step explanation:
you have to subsitute x and y from zero then you go from there
Answer:
Y-intercept (0,27)
X- intercept (-9,0)
Step-by-step explanation:
To find X - intercept, substitute in 0 for y and solve for X. To find Y-intercept, substitute in 0 for x and solve for y.
Y= 3x plus 27
Y = 3(0) plus 27
Y = 0 plus 27
Y = 27 The Y-intercept (0,27)
Y = 3x plus 27
0 = 3x plus 27
0 - 27 = 3x
-27 = 3x
divide by boyh side to 3 and X will be -9
In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.
Answer/Step-by-step explanation:
Given:
m<9 = 80°,
m<5 = 68°
Lines w and v are parallel to each other.
m<1 = m<9 (corresponding angles theorem)
m<1 = 80°
m<2 + m<1 = 180° (linear pair)
m<2 + 80° = 180° (substitution)
m<2 = 180° - 80°
m<2 = 100°
m<3 = m<1 (vertical angles are congruent)
m<3 = 80°
m<4 = m<2 (vertical angles are congruent)
m<4 = 100°
m<6 + m<5 = 180° (linear pair)
m<6 + 68° = 180° (substitution)
m<6 = 180° - 68°
m<6 = 112°
m<7 = m<5 (vertical angles)
m<7 = 68°
m<8 = m<6 (vertical angles)
m<8 = 112°
m<10 = m<2 (corresponding angles)
m<10 = 100°
m<11 = m<9 (vertical angles)
m<7 = 80°
m<12 = m<10 (vertical angles)
m<12 = 100°
m<13 = m<5 (corresponding angles)
m<13 = 68°
m<14 = m<6 (corresponding angles)
m<14 = 112°
m<15 = m<13 (vertical angles)
m<15 = 68°
m<16 = m<14 (vertical angles)
m<16 = 112°
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
Can somebody please help with this?
Answer:
x=8°
y= 96°
z= 96°
Step-by-step explanation:
Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.
Solve for z:
48+36+z=180°
84+z+180°
z=96°
Now that you have z you can solve for x by using only the bottom half of the circle.
z+36+6x=180° *remember z=96
96+36+6x=180
132+6x=180
6x=48
x=8°
Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.
y=96°
If f(x) = 4x - 8, then find f(2).
Answer:
what is x
Step-by-step explanation:
select the story problem that this this division problem represents 3/4 divided by 1/3
Answer:
3/4 divided by 1/3 would equal 2 1/4 or 2.25.
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:
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:
(Go Answer my question pls! Thanks!)
solve for 1/3(2x-y)=z for x
Answer:
The answer is 7.
Step-by-step explanation:
Cant you math bro?
⚠️⚠️please answer⚠️⚠️
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)
Stumped on math question
Answer:
x = 11/2
Step-by-step explanation:
X-intercept(s) can be found when y = 0
Rearrange the equation
-3y = -2x + 11
y = 2x/3 - 11/3
Let y = 0
0 = 2x/3 - 11/3
Rearrange so that x is on one side
2x/3 = 11/3
x = 11/2
Answer:
5.5
Step-by-step explanation:
The x-intercept of a function is the value of x when y is equal to 0.
Therefore, we can just plug in 0 for y and solve for x:
2x-3(0)=11
2x=11
x=5.5
The x-intercept is 5.5
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....
♥️♥️♥️♥️♥️
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
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).
If x= -2 what is the value of -5x + 8x/4 + 7
Answer:
13
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
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
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:
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
learn more about proportion here :
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Please help i dont understand
Answer:
5
Step-by-step explanation:
find the measure
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].
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.
