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RideAnS [48]
3 years ago
14

A garrison of 1500 men has previsions for 48 days. how long would they last if after 13 days it is reinforced by 660 men?

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

Answer:

24.30 days

Step-by-step explanation:

Let one person consume x kgs in a day

No. of Men = 1500

Total available provision for 48 days = 48 x 1500x

Thus the provision consumed in 13 days = 13 x 1500x

Remaining Provision = Total Provision – consumed provision

= 72000x – 19500x

=52500x

Now 660 men were added , Hence total strength will be 1500+660 = 2160

Provision consumed in one day = 2160x

Provision left = 52500x

Hence number of days for which provision can run

= \frac{52500x}{2160x}

=24.30 days

Hence the provison will end for 24.30 more days

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Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Drag a reason to each box to complete the proof.<br> Please help <br> will give you brainliest
Helga [31]

Answer:

The required proof is shown below.

Step-by-step explanation:

Consider the provided figure.

It is given that KM=LN

We need to prove KL=MN

Now consider the provided statement.

KM = LN                     Given

KM = KL+LM              Segment addition postulate

LN = LM+MN             Segment addition postulate

KL+LM = LM+MN      Substitution property of equality

KL = MN                    Subtraction property of equality

The required proof is shown above.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

Exact Form:

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Decimal Form:

x  = 0.015625

Step-by-step explanation:

4 0
3 years ago
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GuDViN [60]
1. A)
7x= 3(35)
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2. C)

4 0
3 years ago
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