I am climbing up a mountain that has a lake at the bottom. The lake is 100 feet deep. If I have climbed one third of the way up the mountain and I am currently at 220 feet above lake level, what is the elevation change from the bottom of the lake to the top of the mountain?
The total elevation change from the bottom of the lake to the top of the mountain is 760 feet. This calculation comes from multiples and subtraction.
Explanation:You've got a neat problem here involving subtraction and multiplication. It's all to do with altitude and elevation change. You have climbed one-third of the way up the mountain and are currently 220 feet above lake level. This means that a third of the mountain's height from the lake's surface is 220 feet. To find the total height from the lake to the top of the mountain, we can do a simple multiplication:
1. 3 (representing the whole mountain) × 220 feet (one-third of it) = 660 feet.
However, you asked for the elevation change from the bottom of the lake to the top of the mountain. The lake is 100 feet deep, so we add this to our total:
2. 660 feet (mountain height) + 100 feet (lake depth) = 760 feet.
So, the elevation change from the bottom of the lake to the top of the mountain is 760 feet.
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The total elevation change from the bottom of the lake to the top of the mountain is 760 feet.
Explanation:To answer the question, we need to understand that if the student is already 220 feet above the lake, and this represents one third of the way up the mountain, we can use this information to find the total elevation change from the lake bottom to the top of the mountain. We first need to calculate how high the mountain is above the lake by dividing 220 feet by one third (or 0.33), which gives approximately 660 feet. However, this does not include the depth of the lake. As the lake is 100 feet deep, we need to add this to our previous value to get the total elevation change. This gives us an elevation change of 660 feet + 100 feet = 760 feet from the bottom of the lake to the top of the mountain.
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What is 50,779 divided by 590? Attach work pretty plz
How do you rewrite 0.912912 in bar notation
If there are 5,000 people that believe in ghosts and only 700 did not and 60 where not sure then how many all together believe, dont believe, not sure
this is a problem but i am sayin it in my own words
classify each triangle write acute,right or obtuse
What is 1.666666667 as a fraction?
The number 1.666666667 can be written as a fraction as, 1666666667/1000000000.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
1.666666667.
This can be written as,
= 1666666667/1000000007
Thus,
The fraction is 1666666667/1000000000
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What is 16 out of 24 as a percentage?
16 out of 24 is equivalent to 66.67% as a percentage.
To convert 16 out of 24 to a percentage.
Now, to divide the numerator (16) by the denominator (24) and multiply by 100.
= 16/24 x 100
= 0.6667 x 100
= 66.67%
Therefore, 16 out of 24 is equivalent to 66.67% as a percentage.
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Subtracting decimals: 2.54 subtract 1.67
The value of a trading card decreased from $6.35 to $4.50. What is the percent of decrease to the nearest percent?
Maria has c boxes of 10 pencils. The teacher gives her another 20 pencils. How many pencils does she have altogether?
Manuel is putting money into a savings account. He starts with
$350 in the savings account, and each week he adds
$30. Let S represent the total amount of money in the savings account (in dollars), and let
W represent the number of weeks Manuel has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after
19 weeks.
Abby walked 3/4 mile on Saturday and7/12 mile on Sunday. How many miles did she walk in all? A. 5/8 mi B. 5/6 mi C. 1/3 1 mi D. 1/2 1 mi
help asap What is the equation of this line in slope-intercept form?
y=−4x+1y=−4x+1
y=−14x+1y=−14x+1
y=4x−1y=4x−1
y = 4x + 1
Answer:
y= -4x+1
Step-by-step explanation:
Which inequality represents this sentence?
Six plus two is less than nine plus three.
A.
6 + 2 > 9 + 3
B.
6 + 2 < 9 + 3
C.
9 + 3 < 6 + 2
D.
6 + 2 ≤ 9 + 3
I got B , can someone tell me if thats right?
The inequality represents this sentence "Six plus two is less than nine plus three" is B. 6 + 2 < 9 + 3.
What is a solution set to an inequality or an equation?When the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Then values are called solution to that equation or inequality.
Thus we have set of such values is called solution set to the considered equation or inequality.
We are given that Six plus two is less than nine plus three.
So here six plus two = 6 + 2
It is less than 9 + 3
Means
6 + 2 < 9 + 3
Therefore, the correct option is B.
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Please answer these questions according to the text above!!!
A. On Saturday, 1/8 of the people who visited were senior citizens, 1/8 were infants, 1/4 were children, and 1/2 were adults. How many of each group visited the zoo on Saturday?
B. On Sunday, 1/16 of the people who visited were senior citizens, 3/16 were infants, 3/8 were children, and 3/8 were adults. How many of each group visited the zoo on Sunday?
Answer: Hello there!
we know that the zoo had an equal number of visitors on Saturday and Sunday, if the total number of visitors in the weekend is 32096, then the visitors in each day are: 32096/2 = 16048.
a) on Saturday, 1/8 of the people who visited were senior citizens, 1/8 were infants, 1/4 were children, and 1/2 were adults.
if we want to know the amount of each, then:
the amount of senior citizens are: (1/8)*16048 = 2006
the amount of infants are: (1/8)*16048 = 2006
the amount of children is: (1/4)*16048 = 4012
the amount of adults are: (1/2)*16048 = 8024
b) On Sunday, 1/16 of the people who visited were senior citizens, 3/16 were infants, 3/8 were children, and 3/8 were adults.
the amount of senior citizens are : (1/16)*16048 = 1003
the amount of infants are: (3/16)*16048 = 3009
the amount of children is: (3/8)*16048 = 6018
the number of adults is also: (3/8)*16048 = 6018
The slope of a line is 3/2 and the line contains the points (5,9) and (3,a). What is the value of a?
The value of a given the slope between two coordinates is: 6
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
m = (y₂ - y₁)/(x₂ - x₁)
For the coordinates (5,9) and (3,a) and slope of 3/2, we have:
3/2 = (a - 9)/(3 - 5)
3/2 = (a - 9)/-2
-3 = a - 9
a = 6
The value of a given the slope between two coordinates is: 6
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What is the value of (17+8)-6x2?
Answer: The awnser is 13 so Queen you have to trust the progres
sophia has $20. she buys a hair band for $3.99, gum for $1.29, and a brush for $6.75. not including tax estimate how much change she should receive????? PLEASE HELP
The answer should be 7.97
the prime factorization of 500 using exponents
(7p+8)-(5p-2) combine like terms
The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.
HELP! What fraction of the total sales did each salesperson sell?
A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest whole cent.
Show work if can please!
Answer:
Answer
[tex]Lola=\frac{203}{537}[/tex]
[tex]Ahmed=\frac{154}{537}[/tex]
[tex]Tommy=\frac{60}{179}[/tex]
Explanation
To find fraction of the total sales for each salesperson, we just need to divide the amount sold by each person by the total sales.
First, we are going to find the total sales:
$2030 + $1540 + $1800 = $5370
Now we can divide the amount sold by each salesperson by $5370:
[tex]Lola=\frac{2030}{5370} =\frac{203}{537}[/tex]
[tex]Ahmed =\frac{1540}{5370} =\frac{154}{537}[/tex]
[tex]Tommy=\frac{1800}{5370} =\frac{60}{179}[/tex]
We can conclude that Lola sold [tex]\frac{203}{537}[/tex] of the total sales, Ahmed sold [tex]\frac{154}{537}[/tex] of the total sales, and Tommy sold [tex]\frac{60}{179}[/tex] of the total sales.
2.Answer
Lola = $37.80
Ahmed = $28.68
Tommy = $33.52
Explanation
We need to divide $100 bonus according of the fraction of the total sales sold by each salesperson; to do so, we need to multiply $100 by the fraction of the total sales for each salesperson:
[tex]Lola=\frac{203}{537}*100=37.8026[/tex]
And rounded to the nearest cent:
Lola = $37.80
[tex]Ahmed=\frac{154}{537}*100=28.6778[/tex]
And rounded to the nearest cent:
Ahmed = $28.68
[tex]Tommy=\frac{60}{179}*100=33.5195[/tex]
And rounded to the nearest cent:
Tommy = $33.52
We can conclude that of the $100 bones, Lola received $37.80, Ahmed $28.68, and Tommy $33.52
c- 14b=
if c equals -7 and b equals 1/7
on Saturday, Lindsay walked 3.1/2 miles in 1.2/5 hours.What was her walking pace in miles per hour? Write in simplest form
10 students in Mrs. Porths class bring muffins to the bake sale. Six Students bring bran muffins. the rest bring 6 blueberry muffins each. how many blueberry muffins do the students bring?
A company will need $50,000 in 6 years for a new addition. To meet this goal, the company deposits in an account today that pays 5% interest conpounded annually. Find the amount to the nearest hundred dollars that should be invested to total $50,000 in 6 years?
on a hiking trip Lashana notes that she hikes about 12 kilometers every 4 hours if she continues at this rate use a ratio table to determine about how many kilometers she could hike in 6 hours
Answer:
She will hike about 18 kilometers in 6 hours
Step-by-step explanation:
Explicit arithmetic formula for the sequence
16,13,10,7,4
Use any model you choose to solve the story problem.
Robbie distributed of his income in equal amounts among 6 bank accounts.
What fraction of his income is in each of the accounts?
A. 1/6
B. 1/24
C. 3/2
D.24/1
solve the system of linear equations using substitution. Which expression would be eastier to substitute into the other equation, in order to solve this problem?
Hummingbird has a wing beat of about 200 beats per second. How many wing beats would a hummingbird have in 3 minutes