MATHEMATICS MIDDLE SCHOOL

The floor of a canyon has an elevation of −14.5feet. Erosion causes the elevation to change by −1.5 feet per year. How many years will it take for the canyon floor to have an elevation of −31

Answers

Answer 1

Answer:

For this case, the first thing we must do is define variables.

We have then:

x: number of years

y: elevation in feet

Then, we write the equation that models the problem.

We have then:

Then. for an elevation of -31 feet we have:

From here, we clear the number of years.

We have then:

Answer:

It will take for the floor to have an elevation of -31 about 11 years.

Answer 2

Answer: 11 years

work:

-31-14.5=-16.5

16.5/1.5= 11

11 is the answer

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If the ground level is 0 and the first level above ground is 1, which integers can you use to represent the other levels where objects are hidden? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:jdjff

One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.

Answers

Okay lets look at the problem first
so Chaya is our X Value
and we know that the total is 196
lets divide the total by 3
so we have 65.1
lets forget the point one for now
know if each person worked 65 hours this would be over
but we know that Jon Worked 3Hours less then Chaya that would put him at 62
Know we need to put that 3 hours to the side and remember we havnt used it yet
And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at 69 hours
so Jon (a) worked 62 hours
Amgelica (b)worked 69 hours
and Chaya (c)at 65
a+b+c=196
62+69+65=196
I hope this helped

Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5%, percent, and it is customary to leave a tip of 15% percent for the server. The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)PLEASE ANSWER

Answers

15×0.05= $0.75 (percentage of tax)
15×0.15= $2.25 (percentage of tip)

$0.75+$2.25+$15=$18

Jimmy went to the toy store. He saw 23 wooden trains and 41 plastic trains.how many more plastic trains than wooden trains did he see?

Answers

To find out d answer to dis we need to subtract d amount of plastic trains by d amount of wooden trains. d answer will be d answer to your question. lets do it:-

41 - 23 = 18
Jimmy sees 18 more plastic trains than wooden trains.

CHECK OUR WORK:-

18 + 23 = 41
We were RIGHT!!

So, Jimmy sees 18 more plastic trains than wooden trains.

Hope I helped ya!! xD

41 minus 23 would be 18.

The national catch of Atlantic Cod has been declining in the past few decades. We can model this decline with the equation y = −.003x2 + .120x + 1.909 where x is the number of years since 1950 and y is the catch in millions of metric tons. In which year did the catch reach its maximum? In which year will the catch reach 0? For what years was the catch increasing? Decreasing? When was the catch greater than 2.5 million metric tons? Show all of your work or explain how you came up with your solutions.

Answers

y = -.003x² + .120x + 1.909
Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- .15138361866/-.006
x = 20 +/- -25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - -25.2306031108 x = 20 + -25.2306031108
x = 45.2306031108 x = -5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.

Sorry I took so long, I had to look up how to do it because I couldn't remember.

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