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Sauron [17]
4 years ago
6

for 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6

inches. Write and find the value of an expression for the change in the water level of the lake during these 9 days.
Mathematics
2 answers:
kumpel [21]4 years ago
8 0
-(3*8)+6=-18

the water level decreased by 18 inches.
Art [367]4 years ago
7 0

Answer:

During the span of 9 days, the water level of lake decreased by 18 inches.      

Step-by-step explanation:

We are given the following information in the question:

For 8 hot days, the water level decreased in a lake at rate of 3 inches per day.

Then on day 9, there was a storm that increased the water level by 6 inches.

Total drop in water level in lake =

\text{Number of days}\times \text{Rate of drop in water level per day}\\= 8\times 3\text{inches per day}\\=24\text{ inches}

Expression for the change in the water level =

\text{Increase in water level in 9 days} - \text{Decrease in water level during 9 days}\\=6 - 24\\ = -24 + 6 = -18\text{ inches}

Hence, during the span of 9 days, the water level of lake decreased by 18 inches.

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nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40
ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (V_{net}), measured in cubic milimeters, is the product of the number of elements (n), no unit, and the volume of each element (V), measured in cubic milimeters. That is:

V_{net} = n\cdot V (1)

By volume equation of right cylinder, we have the following formula:

V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h (2)

Where:

n - Amount of nickels, no unit.

D - Diameter of nickel, measured in milimeters.

h - Thickness of nickel, measured in milimeters.

If we know that n = 40, D = 20\,mm and h = 2\,mm, then the net volume of the stack of nickels is:

V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)

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8 0
3 years ago
13. If AC = 16, DE = 8 and BE = 6, find AE. Please show all work
ollegr [7]

Answer:

AE = 4

Step-by-step explanation:

Use the formula

AE*EC = DE*EB

Since we don't know AE or EC, let AE = x and then EC will = 16 - x.  The formula then becomes

x(16 - x) = 8(6)

16x-x^2=48

Getting everything on one side and setting it equal to 0 will allow us to factor for x:

x^2-16x+48=0

Factoring that gives you that

x = 4 and x = 12.  That means that one of those sements has a length of 4 and the other has a length of 12.  AE is shorter so it's 4 and EC = 12

5 0
3 years ago
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