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Readme [11.4K]
2 years ago
12

A cake shop can make 240 boxes of cakes for 8 days. How many cakes can the shop make in 12 days?​

Mathematics
2 answers:
Zolol [24]2 years ago
7 0

Answer:

360

Step-by-step explanation:

240÷8days=30

30×12days=360

denpristay [2]2 years ago
6 0

Answer:

<h2>360 cakes</h2>

Step-by-step explanation:

<h2>soln:</h2><h2>onecake =240\8=30</h2><h2>then 12 cakes =30×12=360</h2>

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Find the first term and the common ratio <br>third term =6 and seventh term= 96​
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Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

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Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

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Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

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a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

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