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olya-2409 [2.1K]
3 years ago
13

A garrison of 400men had food for 40days.After 10 days,200 more men joined them .How long will the food last now?(Assume that th

e food taken by each man is almost the same.​
Mathematics
1 answer:
mestny [16]3 years ago
6 0

Let x be the amount of food needed for one man for one day. At the beginning, we have enough food for 400 men for 40 days, i.e.

400\cdot 40\cdot x = 16000x

After 10 days, the 400 men will have consumed

400\cdot 10\cdot x = 4000x

food, impliying that the food remaining is

16000x-4000x=12000x

If 200 more men join the garrison, there are now 600 men. Each of them requires x food each day, and there are 12000x units of food remaining. They will last

\dfrac{12000x}{600}=20 days.

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Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....
Ksju [112]

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = \frac{200}{500} = \frac{2}{5} = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

8 0
2 years ago
At the store a cell phone cost 1.1 times as much as it sells online. If it cost $888.98 online, how much more does it cost from
Airida [17]

Given:

At the store a cell phone cost 1.1 times as much as it sells online.

The cost of it is $888.98 online.

To find:

How much more does it cost from the store?

Solution:

It is given that,

Cost of a cell phone online = $888.98

At the store a cell phone cost 1.1 times as much as it sells online. So, cost of the cell phone at store is

1.1\times (888.98)=977.878


The cost of cell phone at store is $977.878 .

The difference between the cost of cell phone at store and online is

\$977.878
-\$888.98=\$88.898

Therefore, the cell phone cost is $88.898 much more at the store.

8 0
3 years ago
Please help I have no clue what to do here I understood the other angles but not this
Nostrana [21]

Step-by-step explanation:

x+a= 180

x+ 52= 180

x= 180-52

x= 128°

3 0
3 years ago
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PLEASE HELP MEE PLEASEE​
Thepotemich [5.8K]
The first one
step by step equation:
8 0
3 years ago
Find the VALUE of x in the following equation<br><br> 5x+25=35
olchik [2.2K]

Answer: the value of x is 2

Step-by-step explanation: because 5 x 2 = 10 and 10 + 25 = 35

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2 years ago
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