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aleksandrvk [35]
3 years ago
10

Please help it is important K12

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

144 in2

Step-by-step explanation:

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A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate
neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:  

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate  munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

C-2=\frac{1}{11}*(C+D-2)...(1)

We are also told if he instead added 4  glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

C=\frac{1}{7}*(C+D+4)...(2)

Upon substituting C's value from equation (2) in equation (1) we will get,

\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)

Let us have a common denominator on right side of equation.

\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)

\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)

Multiplying both sides of our equation by 7, we will get,

7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)

C+D-10=\frac{7}{11}*(C+D-2)  

Multiplying both sides of our equation by 11, we will get,

11*(C+D-10)=11*\frac{7}{11}*(C+D-2)  

11*(C+D-10)=7*(C+D-2)

11C+11D-110=7C+7D-14

11C-7C+11D-7D=-14+110  

4C+4D=96

4(C+D)=96  

(C+D)=\frac{96}{4}

(C+D)=24

Therefore, the total number of Munchkins in original box is 24.

3 0
3 years ago
Please Help! My question is in the picture.
Varvara68 [4.7K]
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
a_{n} =   \frac{1}{4} a_{(n-1)}

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
a_{n} = \frac{1}{4} a_{(n-1)}
a₁ = 2

4 0
3 years ago
2 , 3 ,5,7,11,13, what’s the pattern and the next 5 numbers
LenKa [72]
Srry idk the ans for this que
8 0
3 years ago
Karen, Susan, and Meg are all in a workout program. Susan lost three less than twice as many pounds as Karen. Meg lost seven mor
KiRa [710]

Answer:

Karen will get mad because, Susan lost so much weight than her, she will call the police, rant to the manager of the program, cuss at Susan then get banned from the program and go to jail.

Step-by-step explanation:

That's what would REALLY happen, or did you want me to answer the math problem?

4 0
3 years ago
An experiment consists of drawing 1 card from a standard​ 52-card deck. what is the probability of drawing a diamond
tankabanditka [31]
There are 13 diamonds in a deck of cards, so the chances of drawing a diamond is 1/4
8 0
3 years ago
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