Ancient Egyptian way of computation, division was performed using a method called "repeated subtraction." (a) 26 ÷ 20 = 1 remainder 6.
(b) 55 ÷ 6 = 9 remainder 19.
(c) 71 21 ÷ = 50 remainder 29.
(d) 25 18 ÷ = 7.
(e) 52 ÷ 68 = 0 remainder 52.
(f) 13 36 ÷ = 0 remainder -23.
In the ancient Egyptian way of computation, division was performed using a method called "repeated subtraction." Here's how it would be applied to the given divisions:
(a) 26 ÷ 20:
To divide 26 by 20, we repeatedly subtract 20 from 26 until we cannot subtract anymore. The number of times we subtract is the quotient.
26 - 20 = 6
6 - 20 = -14 (cannot subtract anymore)
Therefore, 26 ÷ 20 = 1 remainder 6.
(b) 55 ÷ 6:
Using the same method, we repeatedly subtract 6 from 55 until we cannot subtract anymore.
55 - 6 = 49
49 - 6 = 43
43 - 6 = 37
37 - 6 = 31
31 - 6 = 25
25 - 6 = 19 (cannot subtract anymore)
Therefore, 55 ÷ 6 = 9 remainder 19.
(c) 71 21 ÷:
To divide 71 21 by a number, we first convert it to a whole number by multiplying the fraction part by the denominator.
71 21 = 71 + (21/100) = 71 + 21/100
Now, we can perform division using repeated subtraction.
71 - 21 = 50
50 - 21 = 29 (cannot subtract anymore)
Therefore, 71 21 ÷ = 50 remainder 29.
(d) 25 18 ÷:
Similar to the previous case, we convert 25 18 to a whole number.
25 18 = 25 + (18/100) = 25 + 18/100
Performing division:
25 - 18 = 7
Therefore, 25 18 ÷ = 7.
(e) 52 ÷ 68:
Since 52 is smaller than 68, the quotient is 0.
Therefore, 52 ÷ 68 = 0 remainder 52.
(f) 13 36 ÷:
Converting to a whole number:
13 36 = 13 + (36/100) = 13 + 36/100
Performing division:
13 - 36 = -23 (cannot subtract anymore)
Therefore, 13 36 ÷ = 0 remainder -23.
Please note that the ancient Egyptian method of division is not as efficient as modern division methods and may not produce exact decimal results.
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what is 4% as a fraction
Answer:
4/100
Step-by-step explanation:
Pls help pls help pls I need the answer
Answer:
21 + x = 35
Step-by-step explanation:
if you do inverse operations you will find that x = 35-21
which is 14
3. What transformations on the graph f(x) = loga x result in the graph of g(x) = -logs (x + 5)?
The transformations on the graph f(x) = loga x result in the graph of g(x) = -logs (x + 5) is found when we translate 5 units to the left then reflect across the x-axis.
What is graph transformations?Graph transformation is described as the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
Some available graph transformations includes:
TranslationDilation ReflectionSo if we translate 5 units to the left then reflect across the x-axis on the graph f(x) = log x, the result is in the graph of g(x) = -logs (x + 5)
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A company blends two gasolines from High-Quality Fuels and Junk Petroleum (inputs) into two commercial products, Super and Regular gasoline (outputs). For the inputs, the octane ratings, the lead content in grams per litre, and the amounts available in cubic metres (m 3
) and their prices are known. These are: For the Super and Regular gasolines the requirements are: We define the variables as follows: H and J are respectively the amount of gasoline in m 3
purchased from High-Quality Fuels/Junk Petroleum. S and R are respectively the amount of Super/Regular gasoline in m 3
blended and sold. HS, HR, JS, and JR are respectively the amounts in m 3
of High-Quality/Junk gasoline used to make Super/Regular gasoline. For this and each of the other four questions which follow, make sure that you answer parts (a), (b), and (c) as given at the bottom of the previous page.
Answer:
ok, here is your answer
Step-by-step explanation:
As the question and information provided do not have a specific part (a), (b), and (c) to be answered, I will provide a general approach to solving this problem.
Let's define the objective function and constraints of the given problem.
Objective function: To minimize the cost of producing Super and Regular gasoline
Cost = (price of High-Quality Fuel * amount purchased from High-Quality Fuel) + (price of Junk Petroleum * amount purchased from Junk Petroleum) + (cost of blending Super gasoline) + (cost of blending Regular gasoline)
Constraints:
- The total amount of Super gasoline produced should be less than or equal to the total amount of gasoline purchased
- The total amount of Regular gasoline produced should be less than or equal to the total amount of gasoline purchased
- The amount of High-Quality Fuel used to produce Super gasoline should be less than or equal to the total amount of High-Quality Fuel purchased
- The amount of Junk Petroleum used to produce Super gasoline should be less than or equal to the total amount of Junk Petroleum purchased
- The amount of High-Quality Fuel used to produce Regular gasoline should be less than or equal to the total amount of High-Quality Fuel purchased
- The amount of Junk Petroleum used to produce Regular gasoline should be less than or equal to the total amount of Junk Petroleum purchased
- The octane rating of Super gasoline should be greater than or equal to 96
- The octane rating of Regular gasoline should be greater than or equal to 87
- The lead content of Super gasoline should be less than or equal to 0.5 grams per litre
- The lead content of Regular gasoline should be less than or equal to 0.15 grams per litre
Now, we can set up the linear programming model for this problem and use software like Excel Solver or MATLAB to solve it and find the optimal values of the decision variables (H, J, S, R, HS, HR, JS, JR). The optimal solution will give us the minimum cost of producing Super and Regular gasoline while satisfying all the constraints.
mark me as brainliestfind the circumference of a circle if the area is 81pi m^2 use 3..14 for pi and round your answer to the nearest tenth
Answer: C=2πr
Step-by-step explanation:
Answer:
9 cm.
Step-by-step explanation:
We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.
20,18,13,17,18 find the mean,median and mode
Mean: 17.2
Median: 18
Mode: 18
Solution:Mean: The sum of all observation divided by several observation
20+18+13+17+18=8686÷5=17.2Median:it is the middlemost observation of data arraged in increasing or decreasing order of values
(13,17,18,18,20)(17,18,18)(18)Mode:it is the value that occurs frequently in a set of data
(13 , 17 , 18 , 18 , 20)Hope it helps
Mean: 17.2
Median: 18
Mode: 18
Solution:Mean: The sum of all observation divided by several observation
20+18+13+17+18=8686÷5=17.2Median:it is the middlemost observation of data arraged in increasing or decreasing order of values
(13,17,18,18,20)(17,18,18)(18)Mode:it is the value that occurs frequently in a set of data
(13 , 17 , 18 , 18 , 20)Hope it helps
The vectors
[-4] [ -3 ] [-4]
u =[-3], v = [ -3 ], w = [-1]
[ 5] [-11 + k] [ 7]
are linearly independent if and only if k ≠
The vectors u, v, and w are linearly independent if and only if k ≠ -8.
To understand why, let's consider the determinant of the matrix formed by these vectors:
| -4 -3 -4 |
| -3 -3 -11+k |
| 5 -11+k 7 |
If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:
(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]
= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)
= -4k^2 + 80k - 484
To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:
-4k^2 + 80k - 484 = 0
Simplifying further, we get:
k^2 - 20k + 121 = 0
Factoring this equation, we have:
(k - 11)^2 = 0
Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.
In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.
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what is the factor of x2+3x-18?
Step-by-step explanation:
\(x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)\)
Thank you ☺️☺️
find the value of x........................
Answers: x = 4 and y = 3
============================================================
Explanation:
Triangle UBD is congruent to triangle RAN
Note the order of the lettering as it's important.
BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,
BD = AN
2y+5 = 3y+2
5-2 = 3y-2y
3 = 1y
y = 3
-----------
Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,
UD = RN
15 = 2x+7
2x+7 = 15
2x = 15-7
2x = 8
x = 8/2
x = 4
Use the relations to answer the question that follows.
(3, 3)
(0, 7)
(8, 19)
What is f(8)?
Answer:
OMG you are so pretty
Step-by-step explanation:
How to convert milligrams to micrograms
Formula to convert milligrams to micrograms: Number of micrograms = Number of milligrams x 1000
To convert milligrams (mg) to micrograms (μg), you need to multiply the number of milligrams by 1000. This is because there are 1000 micrograms in one milligram.
Here is the formula:
Number of micrograms = Number of milligrams x 1000
For example, let's say you want to convert 5 milligrams to micrograms. You would use the formula as follows:
Number of micrograms = 5 mg x 1000 = 5000 μg
Therefore, 5 milligrams is equal to 5000 micrograms.
It's important to pay attention to the units when making conversions, as mixing up units can lead to errors in calculations.
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The area of a rectangle is given as x2+5x+6. which expression represents either the length or widith of the rectangle. these are the answers, it has to be one of these (x-3) (x+1) (x+3) (x+6)
The expression which represents either the length or width is (x+3). The correct answer is option (c).
Given that the area of a rectangle which is given as x²+5x+6.
We have to find which expression represents either the length or width.
We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.
So, will find the factoring the expression we can see expressions for the length and the width.
Factoring x²+5x+6 we get (x+2)(x+3).
One of these factors is the width and the other is the length.
Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).
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1. sec x-tanx sinx = 1/sec x2. 1+cosx/sinx = csc x Cot x
Both of the given equations have no solution.
1. sec x-tanx sinx = 1/sec x
The left-hand side of the equation can be simplified by using the identity that sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x). So,
sec x - tan x sin x = 1/cos x - sin x/cos x sin x = 1/cos x - sin^2 x/cos x = 1/cos x - (1-cos^2 x)/cos x = 1/cos x - (1/cos x) = 1/cos x - 1/cos x = 0.
On the right-hand side, sec x = 1/cos x, so 1/sec x = cos x. Hence,
0 = cos x
This equation has no solution, which means that the original equation sec x - tan x sin x = 1/sec x has no solution.
2. 1 +cosx/sinx = csc x Cot x
We can simplify the left-hand side of the equation by using the identity that csc(x) = 1/sin(x) and cot(x) = cos(x)/sin(x). So,
1 + cos x/sin x = 1/sin x * cos x/sin x = cot x.
Hence,
1 + cot x = cot x
This equation has no solution, which means that the original equation 1 +cosx/sinx = csc x Cot x has no solution.
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Solve the inequality
Answer:
t > 28
Step-by-step explanation:
\(\dfrac{t}{4} > 7\)
Multiply both sides by 4:
\(\implies t > 28\)
Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5
1 9/26
Convert any mixed numbers to fractions.
Then your initial equation becomes:
7/2÷13/5
Applying the fractions formula for division,=7×5
2×13
=35/26
Simplifying 35/26, the answer is...35/26=1 9/26
Answer:
1 \(\frac{9}{26}\)
Step-by-step explanation:
Given
3 \(\frac{1}{2}\) ÷ 2 \(\frac{3}{5}\) ← change mixed numbers to improper fractions
= \(\frac{7}{2}\) ÷ \(\frac{13}{5}\)
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= \(\frac{7}{2}\) × \(\frac{5}{13}\) ← multiply numerators/ denominators together
= \(\frac{35}{26}\)
= 1 \(\frac{9}{26}\)
tell whether the given information allows you to conclude that p is on the bisector of ∠abc.
Yes or No
Yes, this information allows us to conclude that P lies on the bisector of ∠ABC.
The Angle Bisector Theorem states that if a line segment bisects an angle of a triangle, then it divides the opposite side into two segments whose lengths are proportional to the adjacent sides of the triangle.
By the Angle Bisector Theorem, we know that if a point lies on the bisector of an angle, then it divides the opposite side into segments that are proportional to the adjacent sides. In this case, we are given that AP/AQ = BP/CQ, which means that P divides side AB in the same ratio that Q divides side AC. Therefore, by the Angle Bisector Theorem, we can conclude that P lies on the bisector of ∠ABC.
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--The complete question is, Given a triangle ABC, with points P and Q on sides AB and AC respectively, such that AP/AQ = BP/CQ. Does this information allow you to conclude that P is on the bisector of ∠ABC?--
Convert this rational numberto its decimal form and roundto the nearest thousandth.2/3
ANSWER
0.667
EXPLANATION
We want to convert the rational number given to decimal number.
To do this, we divide the numerator by the denominator.
That is:
\(\frac{2}{3}\text{ = 0.667}\)That is the answer, approximated to the nearest thousandth.
I put C but again I’m not really sure it’s the correct answer.
Answer:
A
Step-by-step explanation:
if h(x) = 6 5f(x) , where f(2) = 6 and f '(2) = 5, find h'(2). h'(2)
The value of h'(2) is 25
What is the chain rule?The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.
A composite function is a function that is formed by taking the output of one function and using it as the input of another function.
For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).
here we have
h(x) = √6 + 5f(x)
Derivative of h(x) with respect to x
h'(x) = d/dx (√6 + 5f(x))
h'(x) = d/dx (√6) + d/dx (5f(x))
h'(x) = 0 + 5f'(x)
h'(x) = 5f'(x)
Now substitute x = 2 and f'(2) = 5, to find h'(2)
h'(2) = 5f'(2)
h'(2) = 5(5)
h'(2) = 25
Therefore,
The value of h'(2) is 25
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Complete Question:
If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 100 sandwiches in all, 85% of which were turkey. How many turkey sandwiches did the cafeteria make?
Answer:
85 Turkey sandwiches
Step-by-step explanation:
85% of 100 is 85
That means that the remaining 15% or 15 sandwiches that were made were ham.
Please help me
Solve the following system of equations and show all work.
Please show all work
Answer:
-1/2 and -1
Step-by-step explanation:
Our system of equations is:
y = 2x²
y = -3x - 1
We can set the y's equal to each other:
y = 2x² = -3x - 1
Now, we have:
2x² = -3x - 1
Move all the terms to one side by adding both sides by 3x and 1:
2x² + 3x + 1 = 0
We must factor this quadratic. Note that the factoring is:
(2x + 1)(x + 1) = 0
Our solutions are now:
2x + 1 = 0 OR x + 1 = 0
x = -1/2 x = -1
.
Thus, our solutions are -1/2 and -1.
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
Provide an appropriate response. Determine the critical value, z o. to test the claim about the population proportion p *0.325 given n-42 and p-0247 Use a 0.05. a O 11.96 +2.33 O +1.645 O +2.575
Based on the information given, it should be noted that the critical value is +2.33.
How to explain the valueWe are given that the sample size is 42, the sample proportion is 0.247, and the significance level is 0.05. We want to test the claim that the population proportion is 0.325.
The critical value is the z-score that separates the rejection region from the non-rejection region. The rejection region is the area under the standard normal curve where we would reject the null hypothesis. The non-rejection region is the area under the standard normal curve where we would fail to reject the null hypothesis.
The z-table shows that the critical value for a two-tailed test with a significance level of 0.05 is +2.33. This means that if the z-score is greater than or equal to +2.33, we would reject the null hypothesis.
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(9s+9)–(7s+3)
brainliest
to
person
who
gets
it
right
Answer:
2s+6
Step-by-step explanation:
(9s+9)-(7s+3)
9s-7s+9-3
2s+9-3
2s+6
Answer:
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
PLEASE HELP ME!! IM TAKING A FINAL AND HATE THESE TYPE OF QUESTIONS!! PLS HELP.
Answer:
B.
Step-by-step explanation:
Answer:
the answer is A because none of the x-values or y-values repeat
Step-by-step explanation:
PLEASE HELP ME PLEASE PLEASE PLEASE
Answer:
Step-by-step explanation:
l/100 km means liters per 100 Kilometre. How many liters a car need for traveling 100 km.
Km/l means liter per km
Which model and number line show the same fraction? Answer and explain why
Answer detailed please
Answer:
container A
Step-by-step explanation:
In Container A, we can plot the points (0,60) adn (2, 35)
The slope is :
\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)
For container B, the slope is:
\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)
The negative sign of the slope indicates the direction of the slope
\(|m_A| = 12.5\\\\|m_B| = 11\)
12.5 > 11
The slope of container A is steeper than container B
Therefore, the water is draining out of container A at a faster rate than container B
Can u guys PLEASE ANSWER this question 2 ASAP
Answer:
Sorry but where's the question
Step-by-step explanation: