Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One day's discharge at its mouth, 9.6 trillion gallons, could supply all of country A's households for six months. Based on this statement, determine how much water an average household uses each month. Assume that there are 200 million households in country A.
We are given the following data:
total discharge = 9.6 trillion gallons
number of household = 200 million
number of months = 6 months
So the average use of each household per month is:
average use = (9.6 trillion gallons) / (200 million households * 6 months)
average use = 8,000 gallons / household / month
So each household uses 8,000 gallons per month
Write the following inequality in slope-intercept form.
5x − 5y ≥ 70
a.)y ≥ x − 14
b.)y ≤ x − 14
c.)y ≥ x + 14
d.)y ≤ x + 14
Final answer:
To convert the inequality 5x - 5y ≥ 70 to slope-intercept form, we solve for y to get y ≤ −x − 14, which is most appropriately represented as option (b.) y ≤ x − 14 after rearranging terms.
Explanation:
To write the inequality 5x − 5y ≥ 70 in slope-intercept form, we need to solve for y. We start by isolating the y-term on one side of the inequality.
First, we subtract 5x from both sides: −5y ≥ 70 − 5x
Next, we divide each term by -5 (remembering to reverse the inequality symbol because we are dividing by a negative number): y ≤ (70/−5) + (5x/−5)
y ≤ −14 − x
Finally, we write x before the constant to follow conventional form:
y ≤ −x − 14
Comparing this result to the multiple-choice options, we can see that none of them exactly match the form we derived. However, we can rewrite our inequality as y ≤ x − 14 by multiplying through by -1 (which will not change the inequality because we are not dividing or multiplying the inequality itself, just rearranging the terms).
Therefore, the correct answer is (b.) y ≤ x − 14.
Explain how graphs of the same function can look different?
Graphs of the same function can look different based on the time frames, horizontal and vertical scalling, data grouping, and the chosen type of graph. However, it's crucial to remember that despite visual differences, the underlying mathematical function remains unchanged.
Explanation:In the subject of mathematics, graphs depict the relationship between variables. The graphs of the same function can technically appear different based on numerous factors such as the range of data used, horizontal and vertical scaling, and the division of data groups. When the value of y is changing as a function of x, meaning different values of x correspond to different values of y, we can plot a graph using specific (x,y) data pairs.
This graph can appear different based on the frame of reference chosen; for example, certain timeframes might yield a linear graph, while another range could portray a curve. Similarly, the relative size of the vertical and horizontal axes can greatly impact the perception of the graph, and therefore, different scales of measurement can provide different visual perspectives of the same function.
Moreover, the type of graph used (e.g. line, bar, pie graph) also impacts visual understanding. Line graph shows the relationship between two variables, whereas a pie graph could make it easy to understand division of a whole into parts, and a bar graph can depict comparisons among different groups.
Be aware that despite these visual differences, the underlying mathematical function remains the same.Learn more about Graphs of Functions here:
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Help me please what would be the next step
What's the difference between 178 and -395
What is the equation of the graphed line?
A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)
Enter your answer in slope-intercept form in the box.
Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context.
The zero of the function c=80-3.22n is approximately 25, which means that Jessica's CD would be completely filled after recording approximately 25 songs.
Explanation:To find the zero of the function c=80-3.22n, we need to set the function to zero and solve for n. 0 = 80 - 3.22n. Solving this gives n = 24.84 (roughly).
In the context of this problem, this zero of the function means that after approximately 25 songs (as we can't have a fraction of a song), Jessica's CD would be completely filled with no remaining recording time.
It's important to note that the actual number of songs Jessica can record depends on the precise length of each song, since this equation assumes each song is the same length, which is unlikely to be strictly true in reality.
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I really need help... please?
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Two towns have accumulated different amounts of snow. In Town 1, the snow depth is increasing by 3 1/2 inches every hour. In Town 2, the snow depth is increasing by 2 1/4 inches every hour. In how many hours will the snowfalls of the towns be equal? Show your work.
what is .000747 in scientific notation
14/x+3-1=5/x+1 solve for x
Line ℓ has equation
y
=
x
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5
.
Find the distance between ℓ and the point
C
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4
,
-
3
The Springfield fifth graders sat on the first floor at Symphony Hall. 35 students sat in each row. How many rows did they fill?
HELP ME PLEASE IM BEGGING YOU!!!!!!
Final answer:
To find the number of rows filled by the Springfield fifth graders, divide the total number of students by the number of students in each row.
Explanation:
To find the number of rows filled by the Springfield fifth graders, you need to divide the total number of students by the number of students sitting in each row. In this case, there were 35 students in each row.
To calculate the number of rows, divide the total number of students by the number of students in each row:
Number of rows = Total number of students / Number of students in each row
Since the total number of students is not mentioned in the question, I cannot provide a specific answer. However, if you have that information, you can substitute it into the formula to find the number of rows.
( 8 x 10^-3 ) * (0.0002) = ?
In scientific notation please
Hey Guys I need as much help as I can get Please Help This is the question that gets me stuck on all test every bit of help is appreciated
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a car for x days is shown below:
f(x) = 27x + 18
What is the value of f(6) and what does f(6) represent? (5 points)
Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far? SHOW YOUR WORK PLZZ!!!! Only answer if you know.
Product of 32x25 and what is the strategy?
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday? -40.85°C
The rec center has two payment choices. Plan A is $35 per month for unlimited visits. Plan B is $15 per month plus $2 per visit. If Nichole will go to the rec center 8 times a month, which is the cheaper plan for her? How much will it cost?
10 PTS!! (5 + 2/8) - (3 7/8)
A submarine dives below the surface, heading downward in three moves. If each move downward was 220 feet, where is the submarine after it is finished diving?
Diane uses 2 feet of ribbon to decorate each gift she is wrapping. She wraps 7 gifts. How much ribbon does she need?
Final answer:
To calculate the total amount of ribbon Diane needs, we multiply the number of gifts (7) by the amount of ribbon per gift (2 feet). Diane will need a total of 14 feet of ribbon to decorate 7 gifts.
Explanation:
The question asks how much ribbon Diane needs to decorate 7 gifts if she uses 2 feet of ribbon per gift. To find the total amount of ribbon, we multiply the number of gifts by the amount of ribbon used for each gift. The equation for this calculation is:
Total ribbon needed = Number of gifts times Ribbon per gift
Let's plug in the values:
Total ribbon needed = 7 gifts times 2 feet/gift
Total ribbon needed = 14 feet
Therefore, Diane needs 14 feet of ribbon to decorate her 7 gifts.
Find the value of k if it is known that the graph of y=kx goes through:
B(−30, 3)
Answer:
k=_____
add the point, x=-30, y=3:
y=kx
3=k*-30
3=-30k
-1/10=k
so the final answer:
k= -1/10
What is the product of 5 and 1/2 times 1/8? I Want see if I’m right.
What is the value of this expression?
(−4) to the fourth power
yoy are choosing between two health clubs. Club A offers membership fir a fee if $21 plus a monthly fee of $26. club B offers membership for a fee of $42 plus a monthly fee of $19. After how many months will the total cost of each health club be the same?
a professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $31 on the second race and tripled the money he came with. He bet $51 on the third race and quadrupled his original bankroll. He bet $84 on the fourth race and lost it, but still had $40 left. How much money did he start with?
Answer:
The gambler came with $31.
Step-by-step explanation:
Let x be the initial amount.
At the end of the first race at the track he had doubled his money, that is 2x.
He bet $31 on the second race and tripled the money he came with.
Means 3x.
He bet $51 on the third race and quadrupled his original bankroll that is 4x.
He bet $84 on the fourth race and lost it, but still had $40 left.
Summing all the values, we get;
[tex]4x-84=40[/tex]
=> [tex]4x=40+84[/tex]
=> [tex]4x=124[/tex]
=> x = 31
Hence, the gambler came with $31.
81/27x6-2 (/=dividedby)
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal. How much money did they both have in their accounts in May?
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!
Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?
To find Jimmy's speed, divide the distance he ran by the time taken. Speed = Distance/Time. which is m/t.
To find Jimmy's speed, we use the formula Speed = Distance/Time.
Therefore, Jimmy's speed, in miles per minute, is m/t.
For example, if Jimmy ran 5 miles in 10 minutes, his speed would be 0.5 miles per minute (5 miles / 10 minutes = 0.5 miles per minute).
Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107
its d! hope i helped :)