There are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop. (at least one donut of every variety must be selected)
How to calculate the number of ways to select items?There are 'r' items from 'n' different varieties (repetition allowed). Then, the number of ways to select items is given by
The number of ways = [tex]_{n+r-1}C_r[/tex]
Where the combination [tex]_{n}C_r[/tex] is calculated as
[tex]_{n}C_r=\frac{n!}{r!(n-r)!}[/tex]
Calculation:It is given that there are 4 varieties of donuts in a shop. I.e., n = 4
Number of donuts to be selected r = 12 (one dozen)
And also given that at least one donut of every variety has to be selected.
Since there are 4 varieties, at least one from each of these means the count is 4.
So, the remaining number of donuts to be selected is 12 - 4 = 8.
So, r becomes 8 i.e., r = 8
On substituting,
the number of ways of selecting the remaining 8 donuts = [tex]_{4+8-1}C_4[/tex]
⇒ [tex]_{11}C_4[/tex]
⇒ [tex]\frac{11!}{4!(11-4)!}[/tex]
⇒ [tex]\frac{11!}{(4!)(7!)}[/tex]
⇒ 330
Therefore, there are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop.
Learn more about combinations here:
https://brainly.com/question/11732255
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Triangles ABC and DEF similar
Answer:
DE = 4 1/2
EF = 3 3/4
Step-by-step explanation:
AB/AC = DE/DF
6/4 = DE/3
cross-multiply:
4DE = 18
DE = 18/4 or 4 1/2
AB/BC = DE/EF
6/5 = 4.5/EF
cross-multiply:
6EF = 22.5
EF = 3.75
PLS HELP WITH THIS MATH
Evaluate 4n when n =13
Evaluate a/b when a = 27 and b=3
Evaluate 3x - 14 when x=6
Evaluate z2 + 8.5 when z =2
Evaluate x(36-y) when x =4 and y = 8
PLEASE HELP!!!
Answer:
1) 52
2) 9
3) 4
4) 12.5
5) 112
Step-by-step explanation:
So for each of them, we just need to substitute and solve.
4n = 4 * 13 = 52
a/b = 27/3 = 9
3x - 14 = 3*6 - 14 = 18 - 14 = 4
z2 + 8.5 = 2*2 + 8.5 = 4 + 8.5 = 12.5
x(36 - y) = 4(36 - 8) = 4(28) = 112
I hope this helped and please mark brainliest!
Help plsss !!!! Thnk you!!!!
lütfen bana yardımcı olun
Answer:
d cevap eksiler artı oldu
10.
8. "Orta Asya'da kurulan ilk Müslüman Türk Devleti
Haniyim. Müslümanlığı kabul ederek Abdülkerim
Satuk Buğra Han adını aldım. Devletin resmi dinini
Islamiyet olarak kabul ettim. Bu durum kısa sürede
Türk boylarının islamlaşmasını sağladı."
Satuk Buğra Han'ın bu açıklamalarına göre, Türk-
lerin Müslüman olmasının aşağıdakilerden han-
gisine etki ettiği söylenebilir?
A) Kültürel değerlerini kaybetmelerine
B) Siyasal alanda değişimlere
C) Topraklarini genişletmelerine
D) Yerleşik hayata geçmelerine
PLZ HELP ME WILL GIVE BRAINLIEST. THANKYOU!!
Answer:
x = -4
y = -1
Step-by-step explanation:
-2x - 9 = -5x - 21
3x - 9 = -21
3x = -12
x = -4
y = -2(-4) - 9
y = 8 - 9
y = -1
Answer:
x=−4 and y=−1
Step-by-step explanation:
I will solve your system by substitution.
y=−2x−9;y=−5x−21
Step: Solve y=−2x−9for y:
Step: Substitute−2x−9foryiny=−5x−21:
y=−5x−21
−2x−9=−5x−21
−2x−9+5x=−5x−21+5x(Add 5x to both sides)
3x−9=−21
3x−9+9=−21+9(Add 9 to both sides)
3x=−12
(Divide both sides by 3)
x=−4
Step: Substitute−4forxiny=−2x−9:
y=−2x−9
y=(−2)(−4)−9
y=−1(Simplify both sides of the equation)
Answer:
x=−4 and y=−1
HELP!!!! 100 POINTS FOR THESE QUESTIONS. CHECK PHOTO FOR QUESTIONS. GEOMETRY
1.How many inches are in a foot
2.The space between the finger and the thumb is 3 1/2 inches, convert this measurement to feet
3. The hand in the image is 15 inches in front of the camera. Convert this measurement to feet.
4. Write the ratio of distance from the camera to the hand to the space between the fingers. Use the measurements that were calculated in feet
5. According to Wikipedia, the tower that houses Big Ben is 315 feet in height. Write a ratio of the distance from the camera to the base of the tower to the height of the tower. *hint – introduce a variable on this step*
6. Setup a proportion to find the distance from the camera to the base of the tower
7. Solve the proportion from number 6.
Answer:
1=12 inches
2=42 inches
3= 315 feet
4= it looks like he’s less than 1/4th of a mile away from big ben
5=?
6=?
Step-by-step explanation:
thats all i could help with
Use place value to convert 1.18 to a fraction SELECT ALL CORRECT ANSWERS
A. 1 15/100
B. 1 15/1000
C. 1 9/50
D. 1 9/500
Answer:
c. 1 9/50
Step-by-step explanation:
1.18= 59 = 1 9/50
---
50
Forgive me if i am wronge
Find two points and slope !
Answer:
slope = 1
two points: (0,-6) and (6,0)
Step-by-step explanation:
Figuring out the slope:
Since we have the two points, we would need to use the slope formula of:
(y2-y1)/(x2-x1)
So it would be (-6 - 0) divided by (0 - 6) = -6/-6 = 1
slope is 1
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion)
Jim buys some tacos and burritos which cost him $15.75. John buys some tacos and burritos which cost him $8.25. Tacos cost $1.50 each and burritos cost $2.25 each, how many of each did Joe and John buy?
Let t = the number of tacos and b= the number of burritos.
1. Which equation represents Joe?
2. Which equation represents John?
3. John bought:
tacos
burritos
4. Joe bought:
tacos
burritos
¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?
Use the FOIL method to check your answer from part A.
Answer:
(x+12)(x+4)
x²+12x+4x+48
x²16x+48
Step-by-step explanation:
your right
(a+b)(c+d)
ac+ad+bc+bd
(a^2 + ab – 3b^2) + (4a^2 - ab + b^2) =
Answer:
i tried ok
Step-by-step explanation:
10 i think lol
Answer:
5a²-2b²
bro this is the answer ok
if you need explanation tell ok
hope it helps you
please mark me as brainlist
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
Find out more on equation at: https://brainly.com/question/2972832
Helpppppp mehhhhhh plssss
Answer:
b
Step-by-step explanation:
formula for profit percentage?
Answer:
For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.
Step-by-step explanation:
PLEASE ANSWER THIS. I WILL MAKE HIM/HER A BRAINLIST!!!!
Answer:
1 - Copy and complete this table for y = 2x
x = -3 | y = -6
x = -2 | y = -4
x = -1 | y = -2
x = 0 | y = 0
x = 1 | y = 2
x = 2 | y = 4
x = 3 | y = 6
2 - Copy and complete this table for y = 2x - 3
x = -2 | y = -7
x = -1 | y = -5
x = 0 | y = -3
x = 1 | y = -1
x = 2 | y = 1
x = 3 | y = 3
x = 4 | y = 5
x = 5 | y = 7
y=2x
The way to solve this is plugging in your above x value in for x into the equation y=2x and solving for y.
Example:
y=2x
^You want to find x=-3
y= 2(-3)
y= -6
Your answers:
-6, -2, 0, 4, 6
y=2x -3
Same concept here as above. You are solving for y when you plug in the given x value into the equation.
Your answers:
-5, -3, -1, 3, 5
how do i use the quadratic formula on 5x + x2 + 10 = 0
Answer:math away is the best for the question u have
Step-by-step explanation:
Mathaway
Step-by-step explanation:
Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.
5 ± i√15
x = ----------------------------
2
what is the answer i need help what is A
Step-by-step explanation:
V=a×b×c
136/2=68in³
68in³=a×3in×3in
a=68/9
a=7.5in =x
Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
Question 6
Which set of data has the weakest linear association?
10
10
8
8
6
6
2
0
3
5
10
10
8
8
6
6
4
2
2
0
un
N
3
Answer:
the first set is the weakest
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results.
Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?
PLEASE ANSWER ASAP!!!
Step-by-step explanation:
dkdjfjfjfjureuwuweee
A) 7xy?
Degree and number of terms
Answer:
1 and 1
Step-by-step explanation:
degree of 1 and 1 term.
which number line shows the inequality 4x-3>-7
x>-1
Step-by-step explanation:
I don't see any number lines but it would be one with an open circle going right from -1.
Find the GCF of ( x ^2 + 2 ) and ( 3x ^2 + 6 ).
Hint: First factor each binomial, then find the common factor.
Answer:
The GCF is 4
Explain:
A children's ride at the amusement park has a rule that a person must be
shorter than 4 feet tall to ride it.
Create an inequality that shows the height, x, in feet, a person must be to go
on this ride.
Answer: the answer would be X<4
Step-by-step explanation: tell me if im wrong and i hope this helps you!
A grocery store buys 300 lb of rice. After a week, the store has sold 210 lb of the rice. The manager uses this bar to show how rice has been sold. Select true or False each statement.
7/100 of the rice has sold true or false
70% of the rice has sold true or false
3/10 of the rice remains to be sold. true or false
90% of the rice remains to be sold true or false
Answer
false
true
false
false