Mathematics Middle School

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?

Answers

Answer 1

Rory's change in elevation over time is described by the equation e = 300 - 10t. Viable points are (0, 300), (10, 200), (20, 100), and (30, 0) feet, indicating that she reaches sea level after 30 minutes.

Understanding Rory's Change in Elevation:

Rory is walking down a hill from a cabin that is 300 feet above sea level. The equation describing her elevation over time is given by e = 300 - 10t, where e represents elevation regarding sea level, and t is the time in minutes since she started her journey.

Calculating Elevation Points:

To determine the viable points, we'll plug in different values of t into the equation to get corresponding values of e:

When t = 0,
e = 300 - 10(0) = 300 feet

When t = 10,
e = 300 - 10(10) = 200 feet

When t = 20,
e = 300 - 10(20) = 100 feet

When t = 30,
e = 300 - 10(30) = 0 feet

These values suggest that at t = 30 minutes, Rory reaches sea level.

Creating a Table:

The viable points and their corresponding values of e can be summarized in the following table:

(t = 0, e = 300 feet)

(t = 10, e = 200 feet)

(t = 20, e = 100 feet)

(t = 30, e = 0 feet)

Related Questions

The perimeter of a patio is 64. The width of the patio is 12 feet and the length of the patio is (×+6) feet. What is the length of the patio?

Answers

12(2)+(x+6)(2) = 64
 12(2) = 24 
Distribute the (x+6)(2)= 2x + 12
New equation: 
 24 + 2x + 12 = 64
Solve for x, and you will get x = 14 
Then put that back in to (x+6). 14 plus 6 equals 20. Which L = (x+6)

L = 20 
20 is your final answer.

I hope this helped!!

If 2 more students took the math test and both made a score of 80, what would the picture graph look like?

Answers

If both of them scored 80, then on the graph, both of them will lying on the same points. Say x axis student and y axis is Marks , then for student 1, the point that will be marked is 80 and for student 2 also, the point that will be marked is 80. If both the points are connected, then we will be getting a straight line connecting both the dots. Hence the graph will be a straight line.

Josh is 4 years older than Delaney. In 5 years the sum of their ages will be 60. How old is Josh now?

Answers

x + 5 + 4 + x + 5 = 60
2x + 14 = 60
-14 -14
2x = 46
x = 23

So, Josh's age is 23 + 4 which is 27 years old.

Final answer:

The problem is a middle school mathematics question about algebra and age. By setting up an equation and solving it, we found that Josh is currently 27 years old.

Explanation:

The subject of this question is Mathematics, and it is likely a Middle School level problem. To solve this, we set up an equation based on the information provided: Let's denote Delaney's current age as D. According to the question, Josh is 4 years older than Delaney, so Josh's current age is D + 4 years. In 5 years, Delaney will be D + 5 years old, and Josh will be (D + 4) + 5 which simplifies to D + 9 years old. We know that the sum of their ages in 5 years will be 60. Therefore, the equation is:

D + 5 + D + 9 = 60

Combining like terms, we get:

2D + 14 = 60

Subtracting 14 from both sides, we get:

2D = 46

Divide both sides by 2 to find Delaney's current age:

D = 23

Now, we can determine Josh's current age by adding 4:

Josh's age = D + 4 = 23 + 4 = 27

Therefore, Josh is currently 27 years old.

4.3t-2.1t-2.3=7.6
Solve equation

Answers

If your solving for t then t = 4.5 
Final answer:

The equation can be solved by combining like terms, isolating the variable t, then dividing by the coefficient of the variable. The solution to the equation is t = 4.5.

Explanation:

The given equation in this problem is 4.3t - 2.1t - 2.3 = 7.6. To solve the equation, first we need to combine like terms, meaning we would subtract 2.1t from 4.3t.

This leaves us with 2.2t - 2.3 = 7.6. After that, we must isolate t by adding 2.3 to both sides of the equation. This results in 2.2t = 9.9. Finally, we divide both sides by 2.2 to solve for t, which gives us t = 4.5.

Learn more about Algebra here:

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Wich is greater 0.48 or 6 15

Answers

6.15 is greater because 0.48 is 48 hundredths
6.15 is greater because its a whole number and 0.48 is a decimal

Simplify the expression 4^3 + 2(3 - 2)

Answers

4 x 4 x 4 = 16 x 4 = 64

64 + 2(1) = 64 +2 = 66

66 is your answer

hope this helps
[tex]4^3 + 2(3-2) 4^3 + 2(1) 64 + 2 66 _________________ Thus, the answer is: 66 You're welcome. [/tex]

706421 rounded to the nearest thousand

Answers

706,400. Since it is 421 you would round down
The answer to this question is 70600

each pizza = 6 people. what does pizza stamd for?

Answers

How many pizza they get

Explain how you can find 3x584 using expanded form

Answers

I believe what you need to do is multiply 3 by each number. 
To start, 3*584 is 1752. Expanded form written out would be (3*500)+(3*80)+(3*4). Simply multiply all the numbers and then add them together. 3*500=1,500; 3*80=240; 3*4=12. 1,500+240=1740+12=1752. Hope this helps! :)

What is the GCF of 12 and 16...

Answers

gcd(12, 16) = 4 I hope I was help full


The GCF of 12 and 16 is 4

12/4 = 3
16/4 = 4

TRUE

hope this helps

(it must end up as a whole number for it to work as a GCF, the bigger the number, the better)

One winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it was at 5 A.M. By​ noon, it had risen another 12 degrees to 30 degrees. What was the temperature at​ midnight?

Answers

The temperature at midnight was 25 degrees.

We have at one winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M. the temperature had doubled from what it was at 5 A.M. By​ noon, it had risen another 12 degrees to 30 degrees.

We have to determine the temperature at​ midnight?

What is Temperature ?

Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.

According to the question -

Assume the temperature at mid - night be x and at 5 AM be y.

Then -

x - y = 16

At 9 A.M. , assume the temperature to be z. Then -

z = 2y

At Noon -

z + 12 = 30

z = 30 - 12

z = 18 degree

At 9 A.M., we have -

z = 2y

18 = 2y

y = 9 degrees

At mid - night, we have -

x - y = 16

x - 9 = 16

x = 25 degrees

Hence, the temperature at midnight was 25 degrees.

To solve more questions on Temperature variations, visit the link below-

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Jess recently started a business producing cosmetic products made from natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. She calculated that it takes a person 2222 minutes to prepare one bag. How many hours will it take to prepare 1200120012001200 bags of samples if Jess and 7777 of her friends work simultaneously?

Answers

Answer in minutes: 342.86

Answer in hours: 5.7143

Answer:

5

Step-by-step explanation:

I put 5.7143

but they told me it was 5

ur welcome

Aisha thinks 1,275 rounded to the nearest hundread is 1,200 because 2 is less than 5 what might aisha misunderstand about rounding

Answers

For rounding, you look at the number to the right of it.

In this case, it would be 7

because 7 is greater than 5, it is rounded up (remember, 5 and up is round up, while 4 and lower is round down)
So her answer should be 1300

hope this helps
I believe Aisha is wrong because its rounding to the nearest hundred, not to the nearest thousandth 

The sign of the product of two integers with the same sign is positive. What is the sign of three integers with the same sign? Explain your thinking.

Answers

Answer:

Negative.

Step-by-step explanation:

The answer is negative, because if the number of integers you are multiplying is odd, then the sign is negative. But if the number of integers you are multiplying is even, then the sign is negative. In this case, three is odd, so the sign is negative.

Unite price batteries size 4pk and total price 2.97 how come unite price

Answers

To find the unit price, divide the unit by the the total amount:

2.97/4
0.7425

Round this to the nearest cent:

$0.74

Hope this helps!

Answer:

divide the unit by the the total amount

The answer is 0. 74

how are rates and ratios related?

Answers

Fundamentally, a ratio is a ratio, a rate is a ratio with time as the denominator and a period is the inverse of a rate.

Of course, there are differential forms of these concepts, where it is not a ratio truly, but it is a “ratio” of differential elements.

6(3a+1)-30=3(2a-4) okay i suck at algebra . please help me lol

Answers

So expand your brackets so 6(3a+1)=18a+6 now -30 so 18a-24
3(2a-4) becomes 6a-12
18a-24=6a-12
18a-6a=-12+24
12a=12
a=1

There are 300 apples and peaches for sale at a farmer's market. The ratio of the number of apples to the number of peaches is 7 : 8. If 50 apples and 40 peaches are sold, what is the ratio of the remaining apples to peaches?

Answers

7:8.....added = 15

7/15(300) = 2100/15 = 140 apples
8/15(300) = 2400/15 = 160 peaches

if 50 apples and 40 peaches are sold....
apples : 140 - 50 = 90
peaches : 160 - 40 = 120

ratio of remaining is : 90/120 which reduces to 3/4 or 3:4 or 3 to 4 <==

To the nearest hundred thousand, there were 700,000 visitors to an amusement park las year which could be the exact number of visitors?

Answers

If we are rounding to the nearest hundred thousand, then anything above 50,000 would be rounded up, and anything below 50,000 would be round down. So 700,000 rounded to the nearest hundred thousand could be 650,001<x<749,999

Can rational numbers be expressed as a fraction of two integers

Answers

Yes, this is what a rational number is.
Yes this is the exact definition of what it means to be a rational number. A rational number is one that is a fraction of two whole numbers (or integers). The denominator, or the number in the bottom of the fraction, cannot be 0.

Some examples:
7 = 7/1
2/3
8/10
0.5 (since this equals 1/2)
the square root of 64 (since it equals 8 = 8/1)
any repeating decimal
any terminating decimal

Non-examples are things like...
sqrt(7)
pi
log(3)
any decimal where there isn't a clear pattern that repeats

how many times can 16 go into 50

Answers

Three times. The remainder would be 2.
This is a very easy question. All you do is calculate 50/16, which leads you to the answer of 3,125, so the answer is 3.

Write a number greater than 714,587.

Answers

714,588 or any number higher than it
714,588. You can add one or more to 714,587 and it will be greater.

Anwser. Anwser. Answer. Anwser

Answers

the answer to x is 7 because 4 times 6 is 24 and 7 times 6 is 42

Answer:

i think x to 7 i belive

Step-by-step explanation:

what’s the value of 1 2/3 divided by 1 7/18 In mixed number fraction form someone please help :)

Answers

12/3=4
4 divided by 17/18 equals to 4* 18/17=72/17= 4 4/17
Thus the answer is 4 4/17

PLEASEEEE HELP MY LIFE :((((

Answers

Since he gets 10$ per shirt, his revenue is 10y if y represents the shirts sold as he adds 10$ with every purchase. His expenses start with the base cost of 1500, then he also has to pay 3 dollars for each shirt, so his expenses add up to 1500+3y. Since he wants to make as much as he spent, his revenue has to equal his expenses and 10y=1500+3y. Subtracting 3y from both sides, we get 7y=1500. Dividing both sides by 7, we get y=214.something=215 by rounding up
the break even point is when ur expenses = ur revenue...there is no profit

1.  expenses (what it costs steve ) are 1500 plus x shirts for $ 3
     revenue(what steve makes from selling shirts) are x shirts for $ 10
     so ur 2 equations would be : y = 3x + 1500 and y = 10x

2. 3x + 1500 = 10x
    1500 = 10x - 3x
    1500 = 7x
     1500/7 = 214.28....so he would have to sell 215 shirts.

Is 0.09 greater than 0.7

Answers

no, 0.7 is greater than 0.09

0.70 > 0.09

hope this helps
Think of 0.7 as 0.70

In terms of money, 0.09 dollars is the same as 9 cents
Similarly, 0.70 dollars is the same as 70 cents

So the value 0.70 is larger

Mrs. Synder must choose two of her homeroom students to be class representatives. The class consists of 13 girls and 9 boys. Approximately what percent chance is there that the first student chosen is a boy and the second student chosen is a girl? (Round to the nearest percent)

A. 10%

B. 25%

C. 22%

D. 15%

Answers

9/22 x 13/21 = 0.25 = 25% B

Answer:   B. 25%

Step-by-step explanation:

Given : Number of boys in the class = 13

Number of girls in the class = 9

Total students  = 13+9=22

Now, the number of ways to choose first boy then a girl =[tex]13\times9=117[/tex]     (1)

Number of ways to choose nay two students :-

[tex]{22}P_{2}=\dfrac{22!}{(22-2)!}\\\\=\dfrac{22\times21\times20!}{20!}=462[/tex]     (2)

Now, the probability that the first student chosen is a boy and the second student chosen is a girl :-

[tex]\dfrac{117}{462}=0.253246753247\approx0.25[/tex]   [Divide (1) by (2)]

In percent , [tex]0.25\times100=25\%[/tex]

Hence, approximately 25% chance that the first student chosen is a boy and the second student chosen is a girl.

Micheal works 15.5 hours each week of a music store. He earns $9.48 per hour. How much does Micheal earn each week?

Answers

all you have to do is times 15.5 with 9.48 and you get your answer witch is $146.94
Micheal earns $146.94 each week. 9.48*15.5=146.94.

Hope this helps!
Can u plz mark me as brainliest? 

Which equation can be used to find one or more factors of 26

Answers

The factors of 26 are one, two, 13 and 26. One and the number itself, in this case 26, are always factors. Since 26 is an even number, which means that it ends in zero, two, four, six or eight, it's evenly divisible by two. Two times 13 equals 26.

No numbers between two and 13 divide evenly into 26, so there are no more factors other than the four listed. Because two and 13 are both prime numbers, which are numbers that are only divisible by one and themselves, the prime factorization of 26 is 2 x 13. The prime factorization of a number refers to the prime numbers that multiply together to make that given number
One equation could be x(y)=26

26-38+(-3) what is the answer.

Answers

So basically, first just do this step by step, or subtract 38 from 26 first.

26 - 38 is basically -(38 - 26), or -12.

So then, it becomes -12 + (-3)

A - and a + becomes - because you're adding negative 3.

-12 - 3

Which then becomes -15.
The answer to your question is -15
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