You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answers
Answer:
20
Step-by-step explanation:
Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...
(n+k-1)C(n)
where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:
aCb = a!/(b!(a-b)!)
For n=3 and k=4, this is ...
(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20
There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.
Related Questions
Two-step equations with decimals and fractions
5 stars for correct answers
have a gud day byeeeeeeee
Answers
Answer:
e= -1/2
Step-by-step explanation:
(4/3) +5/3 = (-6e - 5/3) +5/3
4/3 +5/3 = -6e
(3)/-6 = (-6e)/-6
e = -1/2
a sail boat has a sail in the shape of an isosceles triangle. the base of the triangle is 16 feet in length. the height of the sail is 20 feet. find the total length of the diagonals of the sail.
I NEED HELP!!
Answers
Answer:
160 feet^2
Step-by-step explanation:
base x high x 1/2
hope i'm right
If you increase your bicycle speed by 5.1 miles per hour, the speed will be 18.8 miles per hour. What is your bicycle speed now?
Answers
The object above is symmetrical through Z. If Y = 13 inches, Z = 15 inches, and H = 7 inches, what is the area of the object?
A-39 square inches
B-7.5 square inches
C-105 square inches
D-210 square inches
Answers
Answer:
38
Step-by-step explanation:
it's just always 38
because its correct
I'm dum help me please
Answers
Answer:
um i do beleive it is: the operation is addition, and the constants are 17 and 8
Step-by-step explanation:
Answer:
The operation is additionThe constants are 17 and 8Need answer by today
Answers
Answer:
980 feet per minute
Step-by-step explanation:
4. EF is the median of trapezoid ABCD.
B
X +12
с
E
4x-18
F
3x-4
A
Part I: Solve for x. Show your work. (4 points)
Answers
Answer:
x = 11
BC = 23
AD = 29
EF = 26
Step-by-step explanation:
Given:
Trapezoid ABCD, having,
median = EF = 4x - 18
base BC = x + 12
base AD = 3x - 4
Required:
Part I: value of x
Part II: Length of BC, AD, and EF.
Solution:
Part I: Value of X
The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.
Therefore, EF = ½(BC + AD)
4x - 18 = ½((x + 12) + (3x - 4)
4x - 18 = ½(x + 12 + 3x - 4)
4x - 18 = ½(x + 3x +12 - 4)
4x - 18 = ½(4x + 8)
Multiply 2 by both sides
2(4x - 18) = 4x + 8
8x - 36 = 4x + 8
Add 36 to both sides
8x - 36 + 36 = 4x + 8 + 36
8x = 4x + 44
Subtract 4x from both sides
8x - 4x = 4x + 44 - 4x
4x = 44
Divide both sides by 4
x = 11
Part II:
BC = x + 12 = 11 + 12 = 23
AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29
EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26
Allen uses the claw part of a hammer to remove a nail from a piece of wood. This lever does not make Allen stronger, but it helps him to complete the task using less force.Explain how this lever works.
Answers
Answer:The lever operates by applying forces at different distances
Step-by-step explanation:
Show the work please
Answers
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
Answers
Because 8+8+8+6+7+5=42
Then divide that by 6 to get the mean - so 42/6=7 so that’s the correct mean
Explanation:
Mean = average
Equation: total points scored/total players
Mean=7+8+6+8+?+8/6
The mean is given: 7
So plug it in:
7=(7+8+6+8+?+8)/6
Factor to solve:
Add all the numbers together to leave just the missing number (?)
7=(37+?)/6
To get rid of the 6 multiply it over to the other side
6x7=37+?
42=37+?
Now subtract the 37 to the other side to find the missing number (?)
42-37=?
5=?
Now let’s check:
7+8+6+8+(5)+8=42
Add:
42
Now divide by 6
42/6=
7
Is 7 the mean they gave us? Yup!
So player 5 scored 5 points
I need helpppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
No, Trey is not correct.
Step-by-step explanation:
3^4 = 3 • 3 • 3 • 3 = 81
4^3 = 4 • 4 • 4 = 64
81 is not equal to 64, so 3^4 is not equal to 4^3.
Jamal used 7.56 liters of milk to make milkshakes for him and 11 friends. Each milkshake used the same amount of milk. How much milk is in each milkshake? *
Answers
Answer:
0.63 Liters, or, if needed in fraction form, about 2/3 of a Liter per milkshake
Step-by-step explanation:
7.56 liters in total /divided by 11(+1 for Jamal) friends/ = ).63 liters per shake
How many cubes with the side lengths of 1/3 ft completely fill the prism?
Answers
Answer:
48 cubes
Step-by-step explanation:
To begin, we must find the volume of both the cube and the rectangular prism.
The volume of a cube is a side to the 3rd power.
1/3 · 1/3 · 1/3 = 1/27
The volume of a prism is l * w * h.
2/3 · 1 · 8/3 = 16/9
Now, we have the volume of a cube and the prism. Since we have the find how many cubes can fit into the prism, we must divide 16/9 by 1/27.
16/9 ÷ 1/27 = 16/9 · 27/1 = 432/9 = 48/1 = 48
Therefore, 48 cubes will fit into the prism.
1 can be 3/3.
and 2/3 is 2/3. So when you multiply
8/3 x 3/3 x 2/3 gives 48/27.
now: since it is a cube all the sides are the same
1/3 x 1/3 x 1/3 is 1/27.
48/27 divided by 1/27 is 48
Answer 48.
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
Kenneth graphed a system of equations.
Kenneth says the system has no solution
Do you agree?
Yes or No
Answers
Triangle NGM is reflected across the x-axis, and is dilated by a factor of
\(2 \frac{1}{2} \)
what are the coordinates of vertices N'G'M'
![Triangle NGM is reflected across the x-axis, and is dilated by a factor of [tex]2 \frac{1}{2} [/tex]what](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/72KqTh42y5ufcNCXgnAIojzv21Q5WAGP.jpeg)
Answers
The coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).
Scale factor = \(2\frac{1}{2}\)
= 2.5
The reflection of point (x, y) across the x-axis is (x, -y).
Here, N(-4, 6)→(-4, -6)
M(-6, 2)→(-6, -2)
G(-2, 4)→(-2, -4)
Now, with scale factor 2.5, we get
(-4, -6)→2.5(-4, -6)→N'(-10, -15)
(-6, -2)→2.5(-6, -2)→M'(-15, -5)
(-2, -4)→2.5(-2, -4)→G'(-5, -10)
Therefore, the coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
To learn more about the reflection over x-axis visit:
https://brainly.com/question/15175017.
#SPJ1
Which equation is true?
A. 600 divided by 10 to the first power = 6.
B. 600 divided by 10 to the second power = 6.
C. 600 divided by 10 to the third power = 6.
D. 600 divided by 10 to the fourth power = 6.
Answers
Answer:
b) 600 divided by the second power is 6 :)
Please mark brainliest!
The expression 600 divided by 10 to the second power = 6 is true.
Option B is the correct answer.
We have,
A.
600 divided by 10 to the first power
This can be written as,
600 ÷ 10
600/10
60
B.
600 divided by 10 to the second power
600 ÷ 10²
600/10²
600/100
6
C.
600 divided by 10 to the third power
600 ÷ 10³
600/10³
600/1000
0.6
D.
600 divided by 10 to the fourth power
600 ÷ \(10^4\)
600/10000
6/100
0.06
Thus,
600 divided by 10 to the second power = 6 is true.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
PLZ help ill give brainly
Answers
Answer:
A
Step-by-step explanation:
2.5 x 4 =10
2.5 x 2.75 = 6.875
4 x 2.75 = 11
since it is a rectangle each face has 2 sides, mulitply each answer by 2 and add them all together, you'll get 55.75.
please give me brainliest if you get it correct.
Can you please help me?
Answers
Answer: 18
Step-by-step explanation:
x is the number we need to find
We have this equation :
2 ( 3x - 10 ) + 2 = 5x
= 6x - 20 + 2 = 5x
= -20 + 2 = 5x - 6x
= -18 = -1x
x = -18 ; 18
Hope it helps !
Answer: the original number is 18
Step-by-step explanation:
which expression can be used to find the surface area of the following square pyramid
Answers
Answer:
a. 36+15+15+15+15
Step-by-step explanation:
The base of the pyramid is a square. We know that all sides of a square are equal so if we multiply the two sides of the base square(6*6) we get 36.
The area of a triangle can be found with the formula (b*h)/2. If we input the given values of 5 and 6 into our equation, then (5*6)/2 is 15 and since there are 4 triangles in the square pyramid, you multiply 15 by 4 (or add 15+15+15+15), and add the 36 from the base square.
Hope this helps :)
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
Tomas has $1,000 to spend on a vacation. His plane ticket costs $348.25. If he stays 5.5 days at his destination, how much can he spend each day? Write an inequality and then solve. pls help due in 5 mins
Answers
Answer:
118.50
Step-by-step explanation:
1000-348.25= 651.75
651.75 ÷ 5.5 = 118.5
Because $1,000-348.25 = 651.75 and the divide that by 5.5 for each of the days :)
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
You spin the spinner once.
2345
What is P(less than 5)?
Write your answer as a fraction or whole number.
Answers
Answer:
this probability is 3/4.
Step-by-step explanation:
The spinner has the numbers 2, 3, 4, and 5. Since the question asks for the probability of spinning a number less than 5, we need to consider the numbers 2, 3, and 4.
Out of the four numbers on the spinner, three of them (2, 3, and 4) are less than 5.
Therefore, the probability of spinning a number less than 5 is 3 out of 4.
Answer:
You spin the spinner once.
2345
Can someone pleaseeeee help? i need help with my assignment pleasee
Answers
Explanation: 80+60+72+48=260
But she bought 3 sets of each so 260x 3= 780
All the bands together , then she divided them into 4 equal groups
780/4 = 195
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
d
Step-by-step explanation:
In 25/20, 20/20 is a whole (1) and there are 5/20 left over
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 51 minutes of calls is $17.32 and the monthly cost for 79 minutes is $20.96. What is the monthly cost for 66 minutes of calls? Please add a step-by-step explanation, if possible.
Answers
Answer:
The monthly cost (in dollars) of a long-distance phone plan is a linear function, which means that the cost is proportional to the total calling time (in minutes). To calculate the monthly cost for 66 minutes of calls, we can use the following equation:
Cost = m * Minutes + b
Where m is the slope of the line, and b is the y-intercept. To find m and b, we can use the two given points: (51, $17.32) and (79, $20.96).
Using the slope formula: m = (20.96 - 17.32)/(79 - 51) = 0.44
We can then use the y-intercept formula: b = 17.32 - 0.44*51 = -4.64
Now we can plug in 66 for Minutes and solve for Cost: Cost = 0.44*66 - 4.64 = $17.12
Therefore, the monthly cost for 66 minutes of calls is $17.12.
Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches.
After she's done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter.
What is the total area of the cut surfaces she still needs to paint?
1. What is the shape of each cut surface? What are its dimensions?
2. What is the area of each cut surface?
3. What is the total area Janey still needs to paint? Explain how you found your answer.
Answers
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
PLEASE ANYONE?: A number is chosen at random from a set of whole number from 1 to 50. Calculate the probability that the chosen number:
1. is not a perfect square
Answers
Answer:
10
Take 10 and add it 5 times
Step-by-step explanation:
5 divided by 50 is 10
There is 7 perfect squares 1-50
1,4,9,16,25,36,49 so 43 of the 50 times you pull a number it is not a perfect square.