Answer:
1260 ways
Step-by-step explanation:
Given
[tex]Dolls = 8[/tex]
[tex]Boxes = 5[/tex]
From the question, we understand that: the boxes are identical; however, the dolls are different.
Since no box can be empty, the following scenario exists:
2, 2, 2, 1, 1
This means that 3 of the 5 boxes will hold 2 dolls each while the other 2 will hold 1 doll each.
So, the number of selection is as follows:
2 of the 8 dolls will be selected in 8C2 ways
2 of the remaining 6 dolls will be selected in 6C2 ways
2 of the remaining 4 dolls will be selected in 4C2 ways
1 of the remaining 2 will be selected in 1C1 ways
1 of the remaining 1 will be selected in 1C1 ways
[tex]Expression: ^8C_2 * ^6C_2 * ^4C_2 * ^1C_1 * ^1C_1[/tex]
Since the boxes are identical, we have to divide the above expression by 2 to get the number of ways:
[tex]Ways = \frac{^8C_2 * ^6C_2 * ^4C_2 * ^1C_1 * ^1C_1}{2}[/tex]
[tex]Ways = \frac{28 * 15* 6* 1 * 1}{2}[/tex]
[tex]Ways = \frac{2520}{2}[/tex]
[tex]Ways = 1260[/tex]
The height of a sunflower can be modeled by the expression H (1.02)t where t represents the number of years since it was planted and H represents the height when the sunflower was planted. What is the yearly growth of the sunflower?
Answer:
2%
Step-by-step explanation:
Giveb the model expression :
H = (1.02)^t
General relation:
H = (1 + rate)^t
Rate = yearly growth rate of sunflower
1 + rate = 1.02
Rate = 1.02 - 1
Rate = 0.02
Hence yearly growth rate of sunflower is :
0.02 * 100%
= 2%
2% growth per year.
.
A full glass of water can hold á of a bottle.
How many glasses of water can be filled with 3 bottles of water?
Answer:
Step-by-step explanation:now a full glass holds 1/6 of a bottle that means 1 bottle contains 6 glasses. hence,3 bottles should be 3x6=18. now 1 bottle =6 glasses, then 1/2=6/2=3. ∴3 1/2 bottles would be=18+3=21 glasses
For your job you need to track the amount of time you spend on each project and your total time. For Project A, you spend 1 hour and 35 minutes. For Project B, you spend 25 minutes. How many total minutes did you spend on the two projects combined?
Answer:
answer is 120 min
Step-by-step explanation:
hope it helps
Two rectangles are similar. The first is 6 inches wide and 4 inches long. The
second is 9 inches wide. Find the length of the second rectangle.
Answer:
It is 6 inches long
Step-by-step explanation:
Since they are similar the ratio of width and length will be the same for both so the ratio for the first one is 2/3 so whats two thirds of 9? 6, and that's your answer. If you have any questions about this just leave a comment
Write the value f (1) =1 in an order pair
Answer:
(1, 1)
Step-by-step explanation:
who is good at math?
Answer:
i will forever hate math
Step-by-step explanation:
BRAINLIEST
3. Which is the perimeter for the following?
(6x + 18) units
(x2 - x + 7) units
Please help me with this/ will give brainlist
Answer:
102 degrees bc it is vertical angle means there's same degree
Answer:
78 degrees
Step-by-step explanation:
because the two lines are parallel and both equal to 180, simply subtract 180 by 102 and you will get your answer :D (edit: I apologize, I didn't read the problem thoroughly. The answer would actually be 102)
Could someone please help me solve these 3 questions..
20 points and brainest if you answer all 3
what is % of $2 = $1
Answer:
50%
Step-by-step explanation:
Let [tex]x[/tex] be equal to the decimal when multiplied by 2 equals 1
[tex]2x=1[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{1}{2} \\x=0.5[/tex]
Multiply the decimal by 100 to get a percent
0.5×100=50%
I hope this helps!
Convert 89.25 cm = km
Answer:
Answer
Step-by-step explanation:
Converted to kilometers, 89.25 centimeters would be 0.0008925 kilometers
Christine's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 55 sodas in all, 80% of which were regular. How many regular sodas did the diner serve?
Answer:
80% of 55 = 44
Step-by-step explanation:
If logb y = 2x + logb x, find y.
Answer:
y = 2 x + log ( b x ) , y
Step-by-step explanation:
here you go buddy
Plot 36 and 36 on the number line.
+
+
0
+
1
+
7
+
8
2
3
4
5
6
9
10
Answer:
Imagine skip counting by 9
<-------Negative side Positive Side------>
<-36 -27 -18 -9 -0- 9_18_27_36->
Numberline:
If we add 7 to twice a number , we get 49. Find the number
I need help with this im new to this i wasn’t at school theses days and my teacher won’t explain 2 me if u could help it would mean the world <3.
Answer:
A) Lauren is 10 years old. 5*2=10
Twice means multiply by 2
B) Mark baked 6 muffins. 12* 1/2=6
Half as many means half of the number so half of 12 is 6.
C) Jerry made $24. 20+4=24
more means to add, so $4 more than Amy ($20) is 20+4.
HELP DUE AT MIDNIGHT TN
Answer:
<8
Step-by-step explanation:
<1 and <8 are alt exterior angles
Compare the function f(x) = 4x + 2 to the function shown in the graph. Which statements are correct? А) The function f(x) = 4x + 2 and the graphed function have the same slope. B) The function f(x) = 4x + 2 has a greater rate of change than the graphed function. The graphed function has a greater rate of change than the function f(x) = 4x + 2. D) The graphed function has a y-intercept with a greater value than the function f(x) = 4x + 2. E) The function f(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
PLZ HELP ME
Answer:
B D and E
Step-by-step explanation:Got it right on USATP
please with 5 or 6 i don't get this at all
Answer :
5 )
1 - 119
2 - 61
3 - 61
4 - 119
5 - 119
6 - 61
7 - 61
6 )
3 - 102
4 - ??
5 - ??
6 - 133
7 - 47
8 - 47
9 - 133
Step-by-step explanation:
Mark me brainly
Simplify this problem p^3 X p^4
Answer:
p^3×4
Step-by-step explanation:
you only need one pi so u combine like solutions or whatever and yea
Answer:
p^7
Step-by-step explanation:
When multiplying exponents with the same base, all you have to do is add the exponents together.
This means...
p^3 x p^4 is basically...
3 + 4 = 7
so it's p^7
Hope this helps :)
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
Answer: y = (-1/2)x + 8.5
Step-by-step explanation:
A line perpendicular would have a slope that is the negative reciprocal of the given equation.
In this case, the slope is 2, so the perpendicular equation's slope would be -1/2.
We plug in (1, 8) to find b, or the y intercept.
8 = (-1/2)(1) + b
b = 8.5
So the equation would be:
y = (-1/2)x + 8.5
Answer:
[tex]y=-\frac{x}{2}+\frac{17}{2}[/tex]
Step-by-step explanation:
hope this is what you are looking for
have a nice day!!
PLEASE HELP HELP HURRY PLEASE !!!!!!!!
Answer:
what are we helping with?
Step-by-step explanation:
What is the value of y in the equation 2(3y − 6) = 0
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
1) Divide both sides by 2.
[tex]3y - 6 = 0[/tex]
2) Add 6 to both sides.
[tex]3y = 6[/tex]
3) Divide both sides by 3.
[tex]y = \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]y = 2[/tex]
Therefor, the answer is y = 2.
If using the method of completing the square to solve the quadratic equation
x2 + 13x -3 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
The term added which completes the square is half of the linear coefficient squared. In a quadratic ax^2+bx+c, b is the linear coefficient, so in this case the added term would be
(13/2)^2=169/4=42.25
The term 13/2 is added to complete the square.
What is a quadratic equation?
A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The quadratic equation is x^2 + 13x -3 = 0.
This is not the perfect square term. So we can solve this by using the completing the square method.
⇒ [tex]x^{2} +13x-3=0[/tex]
⇒ [tex]x^{2} +13x=3[/tex]
⇒ [tex]x^{2} +13x + (\frac{13}{2})^{2} =3+(\frac{13}{2})^{2}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =3+\frac{169}{4}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =\frac{181}{4}[/tex]
⇒ [tex]\sqrt{ (x+\frac{13}{2} )}^{2} =\sqrt{\frac{181}{4}}[/tex]
⇒ [tex](x+\frac{13}{2})[/tex] = ± [tex]\frac{\sqrt{181} }{2}[/tex]
Hence we can conclude that the term 13/2 is added to complete the square.
Learn more about quadratic equations here
https://brainly.com/question/12014272
#SPJ2
Graph the line with the slope -1/2 and y-intercept -1.
Answer:
y=-1/2x-1
Step-by-step explanation:
I cant show you how to graph bc i cant but i can tell you the equation.
Please help i will mark you brainiest
Select ALL the situations classified as exponential decay.
1. the temperature of a hot cup of coffee left on the counter every minute
2. the amount of a radioactive element remaining in a sample every decade
3. the amount of money in a savings account that earns interest annually
4. the monthly sales of albums by a band whose popularity is declining
5. the value of a home in a growing community every year
Answer:
1,2,4
Step-by-step explanation:
1: The temperature should be decreasing in an exponential rate as the coffee is hot
2: radioactive element should keep decreasing over years
3: should be increasing rate
4: 'popularity is declining' indicates it's a decay
5: 'growing community' indicated it's increasing
4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form
Answer:
it'll be 64:5
Hope this helps
Hope this helps ALL THE BEST!!
Find the value of x and check the solution.
5 + 4x = -11
Answer:
x=-4
Step-by-step explanation:
5+4x=-11
4x=-11-5
4x=-16
x=-16/4
x=-4
5+4(-4)=-11
5-16=-11
-11=-11
Answer:
x = -4
Step-by-step explanation:
5 + 4x = -11
4x = -11 - 5
4x = -16 (Divide 4 both sides)
x = -4
5 + 4x = -11
5 + 4(-4) = -11
5 - 16 = -11
-11 = -11
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
cups of apple juice.
Jada needs 10 cups of sparkling water if she uses 15 cups of apple juice.
Jada needs 9 cups of apple juice if she uses 6 cups of sparkling water.
Answer the question below
Answer:
all the answers you have are correct!!!
Step-by-step explanation: