The difference between the highest and the lowest points of the country is 5771 feet.
What is subtraction?The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller.
The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).
Let the sea level be x.
The highest point of the country is 5,762 feet above the sea. So, we can write it as
x+5,762
Since the lowest point is 9 feet below sea level, we can write this expression:
x-9
The difference is the result of subtraction. Therefore, we can find the expression that represents the difference between the elevations by subtracting x+5,762 and x-9:
(x+5,762)-(x-9)
= x+5762-x+9
= 5762+9
=5771 feet
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The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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120 applications ? (Select all that apply.)
Which ratios are equivalent to the ratio
36 openings
The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.
The given ratio is 120:36.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Equivalent ratios are the ratios that are the same when we compare them.
120:36
= 20:6
= 10:3
The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which of the following ratios is equivalent to the ratio of 120 to 36?
20 To 6, 12 To 3, 18 To 60, 84 To 1
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are shown below. y = x + 15 y = −x + 8 Which of the following statements is a correct step to find x and y? (4 points) a Multiply the equations to eliminate y. b Add the equations to eliminate x. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Then x = -3.5, correct step to find x and y is to add the equations to eliminate x.
To find the values of x and y from the given equations, we need to use a method to eliminate one of the variables. In this case, we can use the method of adding the equations to eliminate x. Adding the two equations gives us:
y + y = x + 15 - x + 8
Simplifying the above equation gives us:
2y = 23
Therefore, y = 11.5
Substituting the value of y in any of the given equations, we can find the value of x. Using the equation y = x + 15, we have:
11.5 = x + 15
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Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?
Answer:
100 feet long
Step-by-step explanation:
Answer:
length of second rectangle is
100 feet
Identify the property used:
25(20-3)=25(20)-25(3)
Answer: Distributive property
Step-by-step explanation: you need to distribute the 25 to both factors (20,3) and subtract the result this is a khan academy link to help if you need more help: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/the-distributive-property
The price of an item has been reduced by 45%. The original price was $25.
1) Considering that the price has been reduced by 45%, then let's find out the new price:
25(1 - 0.45) = Discounted Price , tWhen we subtract from 1 we'll get the factor
1 represents 100%, 0.45 = 45%
25(0.55)
$13.75
2) So the new price after the discount, and not considering taxes is $13.75
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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Help this is due today!!!!
Answer:
The second option: 3.5x+685\(\leq \\\)85
Step-by-step explanation:
The addition fee is 6 meaning adding not subtracting. Cancel out the first and last one. Then, it says without going over. Meaning it could equal exactly $85. Which means \(\leq\). So it would be the second option.
I really don’t understand slopes , and I really need help
Answer:
put it right to the 8
Step-by-step explanation:
median of 57,75,40,34,45,60,45,44\
Answer:
the median is 45
Step-by-step explanation:
The computation of the median is as follows:
First arrange in a sequential order
34, 50, 44, 45, 45, 60, 57, 75
Now as we can see that there are 8 numbers
= n ÷ 2
= 8 ÷ 2
= 4 number
= 45
Hence, the median is 45
The same is relevant and considered too
A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are ____ units apart. (3 points)
5.1
7.2
8.1
8.2
Answer:
d = 7.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Boat A(3.1, -1)
Boat B(-4.1, -1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: \(d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}\)Subtract/Add: \(d = \sqrt{(-7.2)^2+(0)^2}\)Exponents: \(d = \sqrt{51.84}\)Evaluate: \(d = 7.2\)Answer: 7.2
Step-by-step explanation:
7.2 is the answer I just did the test got it right
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
The 3rd one
Step-by-step explanation:
Answer:One Solution x=6
Step-by-step explanation:
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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Anyone know this basic geometry question with work
Answer:
3) a translation followed by a reflection
Step-by-step explanation:
First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.
Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
please help me asap
Answer: Number 1: = and Number 2: is C
Step-by-step explanation:
Answer:
6. >
7. 5/6, 2/3, 8/15
Step-by-step explanation:
For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.
A bond has a $12,000 face value, a 9-year maturity, and a 3.1% coupon. Find the total of the interest payments paid to the bondholder.
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348
Answer:
Step-by-step explanation:
I=PRT
I=12,000(3.1%)
I=12,000(0.031)=372
I=372*9=3348
The total interest paid is $3,348.
CAN SOMEONE HELP WITH THIS QUESTION?
The value of the given summation is:
\(\sum (29a_i - 13b_i) ]= -30\)
How to find the sum?Here we know that the sums are:
\(\sum a_i = -10\\\\\sum b_i = -20\)
And we want to find the value of the sum:
\(\sum (29a_i - 13b_i)\)
First we can distribute the sum to get:
\(\sum 29a_i + \sum - 13b_i\)
And take the coefficients out of the sum:
\(29\sum a_i -13\sum b_i\)
Now replace the known values:
\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)
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PLEASE HELP, trying to do this escape room level and i have no clue what to do.
Answer:
6688
Step-by-step explanation:
I think, I hope!
The correct sequence for the numbers that are given will be:
64084608084608468064How to depict the numbers?It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.
Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.
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What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
The parks and recreation department for a certain state wants to better accommodate visitors who are camping overnight by
providing more amenities in the most popular state parks. Which measure provides the best information to the department?
A.
number of overnight campers per park
B.
average length of overnight camping trips in state parks
C.
number of state parks campers have visited
D.
average length of stay per camper per year in state parks
Answer:
D. average length of stay per camper per year in state parks
Answer:
d
Step-by-step explanation:
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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PLS CORRECT THE DOMAIN AND RANGE
Answer: your correct
Step-by-step explanation: took the test
One forth of a peperoni pizza has 12 peperonis; how many peperonis are
estimated to be on the whole pizza?
Answer:
48
Step-by-step explanation:
12x4=48
Answer: 48
Step-by-step explanation:
12*4
since 1/4 of the pizza has 12 pepperonis on it.
A number rounds down to 600 to 1 significant figure. What could the original number
be?
Answer:
1000
Step-by-step explanation:
Round the 6 in 600, this is 1 significant figure.6 rounds up to 10 making 1000
The number can be 601, 602, 603, ....... 699
What is significant figures?Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.
If the number is round down to 600 then it's depend on round off
If the round off should be at hundred place, then number can be
601,602, ..................649.
If we round off the above number then it will be 600 which has 1 significant figure.
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