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Troyanec [42]
3 years ago
13

In a week, 15 hens laid 75 eggs. what is the unit rate for eggs per hen?

Mathematics
1 answer:
yarga [219]3 years ago
8 0
75 divided by 15 is 5. 5 eggs per hen
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3 years ago
in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference​
allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}

so that

a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d

a_n=a_1+(n-1)d

33=8+(n-1)d

21=(n-1)d

n has to be an integer, which means there are 4 possible cases.

Case 1: n-1=1 and d=21. But

\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123

Case 2: n-1=21 and d=1. But

\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123

Case 3: n-1=3 and d=7. But

\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123

Case 4: n-1=7 and d=3. But

\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123

8 0
3 years ago
12 1/2 percent multiple 64<br>​
strojnjashka [21]

Answer: The answer is 384 if your question is 12x1/2x64

5 0
3 years ago
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500=100(x-1)<br> Someone tell me step by step
Andre45 [30]
First, distribute the 100 to the (x-1) portion:
500 = 100x - 100

then, add 100 to both sides of your equation to get “x” alone on the right side:
500 + 100 = 100x - 100 + 100
600 = 100x

next, divide 100x by 100 and 600 by 100 to isolate a singular “x”:
600/100 = 100x/100
6 = x

therefore, x=6 is your solution
5 0
2 years ago
(x^3+43-49x-7x^2)/(x^2-49)
GaryK [48]
(X-7) is an answer and -300 is the reminder
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3 years ago
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