Answer:
a) 81/500
b) 7/90
c) 3/11
Step-by-step explanation:
You want to write the fractions that correspond with the decimals ...
a) 0.162
b) 0.0777...
c) 0.272727...
Terminating decimalsThe fraction corresponding to a terminating decimal can be written based on how you pronounce the fraction.
a) 0.1620.162 = "one hundred sixty-two thousandths" = 162/1000
This can be reduced by removing a common factor of 2.
= 81/500
Repeating decimals
The fraction equivalent to a repeating decimal can be found by a multiply and subtract process. In general, this makes the denominator be a number that has as many 9s as the decimal has repeating digits.
b) 0.0777...This has one repeating digit, 7. This means we want to convert to a fraction by multiplying by 10 to the power of 1:
x = 0.0777...
10x = 0.7777...
Now, we can subtract the original number:
10x -x = 0.7777... -0.0777... = 0.7000...
Notice that the repeating digits cancel. Now we have ...
9x = 0.7 = 7/10
Dividing by 9 gives ...
x = 7/90
c) 0.272727...
Using the above method with 10 to the power of 2 (with a 2-digit repeat), we get ...
100x = 27.272727...
100x -x = 27.272727... -0.272727... = 27
99x = 27
x = 27/99 = 3/11
__
Additional comment
In general, the repeating part of a repeating decimal can be expressed over an equivalent number of 9s. For example, the 6-digit repeat 0.142857142857... is equivalent to 142857/999999. As it happens, this one reduces to 1/7.
If there are intervening digits, as in 0.4333... for example, then they can be treated as a terminating decimal, and the repeating part can be multiplied by an appropriate power of 10 to account for the shift from the decimal point:
0.4333... = 0.4 + 0.1 × 0.333...
= 4/10 + 1/10 × 3/9 = 4/10 + 1/30
= 12/30 +1/30 = 13/30
Find the surface area. HELP PLEASE!!!
answer:
219
Step-by-step explanation:
(base * height) + length (4 + 5 + 6)
24 + 13 (15)
219
What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer as appropriate. Show your work
Slope can be found between two points using the formula \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\).
If we substitute in your points (which is x and which is y does not matter as long as it is consistent), we will get
\(\frac{(4-1)}{(2-0)}\).
Simplifying this further, your slope will be
\(\frac{3}{2}\).
hope this helps!
Hi can someone please help me with question 4.
4. With the aid of examples, explain how the traditional system attempts to solve the three central economic questions.
The traditional economic system attempts to solve the three central economic questions through customs, traditions, and long-standing practices. These questions include what to produce, how to produce it, and for whom to produce. The system relies on the allocation of resources based on cultural norms, historical practices, and inherited roles within the society.
In a traditional economic system, the answers to the three central economic questions are derived from customs and traditions that have been followed for generations. Let's take a look at each question and how the traditional system addresses them:
What to produce:
In a traditional system, the choice of what to produce is guided by the needs and preferences of the community. Economic activities are often centered around meeting the basic necessities of life, such as food, clothing, and shelter. For example, a community engaged in agriculture may primarily produce crops and livestock to sustain themselves.
How to produce:
The traditional system relies on established methods and techniques that have been passed down through generations. Production methods are often based on the knowledge and skills of the community. For instance, traditional crafts and artisanal skills are practiced using traditional tools and techniques.
For whom to produce:
In a traditional system, the distribution of goods and services is typically based on social roles, kinship ties, and communal practices. Resources are shared within the community based on customs and traditions that prioritize the well-being and needs of the collective. For example, in some traditional societies, elders or leaders may receive preferential access to resources.
Overall, the traditional economic system seeks to address the three central economic questions by relying on cultural values, customs, and traditions that shape resource allocation, production methods, and distribution within the community.
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A small company has $8,250,000 in (annual) revenue, spends 49% of its revenues on purchases, and has a net profit margin of 8. 5%. They would like to increase their profits and they are looking at focusing in one of two directions. First, they think they can save 2. 05% on their purchase expenses. Or second, they can focus on increasing sales. By how many dollars would they have to increase sales in order to equal a 2. 05% savings to purchasing expenses? (Display your answer as a whole number. )
as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500\)
so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25\)
so sales must be increased by that much in order to match the 2.05% of 4042500.
What is the measure of ∠B?
Answer:
∠B=19°
Step-by-step explanation:
At the endpoints of a diameter, angle c meets the circle. It intercepts a 180-degree arc.We know that the measure of C is 90 degrees because the measure of an inscribed angle is half the measure of its intercepted arc. Angles of triangle of ABC must add up to 180.
m∠A+m∠B+m∠C= 180°
71°+m∠B+90°=180°
m∠B+161°=180°
m∠B=19°
A model of the Cape Hatteras Lighthouse uses a scale of 8 inches = 30 feet. If the actual lighthouse is 210 feet tall, how tall is the model? Give your answer in feet.
Answer: The model of the Cape Hatteras Lighthouse is 7 feet tall, as it follows a scale of 8 inches = 30 feet. The actual lighthouse is 210 feet, so to calculate the height of the model, you would divide the actual lighthouse's height by the scale that is used. 210 feet divided by 30 equals 7 feet, which is the height of the model. This is why models are made to a specific scale, as it allows us to calculate the size of the model accurately, without having to measure every single dimension.
A larger degree of freedom lends to which of the following results while analyzing data? better Xmpv (most probably value) smaller amount of data inputs smaller sigma guaranteed bimodal curve
A larger degree of freedom in data analysis typically leads to a better estimation of the most probable value (Xmpv) and a smaller sigma, which represents the standard deviation or the dispersion of the data. This can help improve the accuracy and reliability of the analysis.
A larger degree of freedom typically leads to a smaller sigma and a better Xmpv (most probable value) when analyzing data. This is because as the degree of freedom increases, the distribution becomes more normal and the variability of the data decreases. Additionally, a larger degree of freedom allows for more data inputs, which can lead to a more accurate analysis. However, it does not guarantee a bimodal curve, as this is dependent on the nature of the data itself. Therefore, while a larger degree of freedom can be beneficial for analyzing data, it is not a guarantee for certain outcomes.
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What is the area of the largest square?
A = 36
units²
A = ?
A = 64
units²
Answer:
100
Step-by-step explanation:
\(\sqrt{36} =6\\\sqrt{64} =8\\6^{2}+8^{2} =100\)
there is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group
Answer:
(2,4) (4,6) (6,9) (8,12)
First bracket : Add 2
Second bracket : Add 2
Third bracket : Add 3
Fourth bracket: Add 4
This is all I know
Mr Leonard want to top-up hi central heating oil tank. The oil tank can take up to 1200 litre of oil. There are already 450 litre of oil in the tank. The price of oil i 81. 5p per litre. A a loyal cutomer, Mr Leonard get a 7. 5% dicount on the price of the oil. How much dicount doe Mr Leonard get on thi purchae?
Give your anwer in £
Discount does mr leonard get on this purchase is £ 45.84375
What do you mean by Discount?
The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.
The remaining oil which is to be added is given by :
1200 - 450 = 750 litres
Each liter costs :
81.5 p per liter.
The discount per liter is 7.5%.
The discount per liter is thus :
7.5/100 × 81.5 = 6.1125 p
6.1125p discount per liter
For 750 liters we have :
750 × 6.1125 = 4584.375 p
We have to convert paisa into £
1 p = 0.01£
4584.375 × 0.01 = £ 45.84375
Therefore, Mr.Leonard get discount of £ 45.84375 on purchase.
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A pizza restaurant allows you to choose any 3 of 8 toppings. How many
different ways are there to choose the toppings?
A. 56
B. 24
C. 40,320
D. 336
Answer:
A. 56
Step-by-step explanation:
3 out of 8 toppings:
= 8!/5!*3!
=8*7*6/3*2*1
=8*7
=56
I hope this helps...
Answer:
A. 56
Step-by-step explanation:
Write an equation using fractorials (2!, 3!, 4! etc)
8! ÷ 5! x 3!
8!, 5!, and 3! mean 8, 5, and 3 fractorials.
We need to multiply backwards in order to solve the fractorials in the equation above this line:
8 x 7 x 6 ÷ 3 x 2 x 1 = 224
Finally, divide 224 by 4
224 ÷ 4 = 56
so the answer is 56.
Hope this helps! Have a good day! (PLS GIVE BRAINLIEST)
Suppose a rescue helicopter is 700 feet above sea level descends 300 feet to search for debris or any other signs of a submarine in trouble. When the captain does not see anything, he ascends 200 feet and stays at that altitude while he tries to get a radio signal from the submarine. A few moments later he speaks to the captain and is informed that the submarine is 122 feet below sea level. How far is the helicopter from the submarine?
Answer:
The helicopter is 722 feet from the submarine.
Step-by-step explanation:
700 - 300 = 400
400 + 200 = 600
600 - 122 = 722
how many elementary events are in the sample space of the experiment of rolling three fair coins?
a.2
b.9
c.8
d.6
The sample space of the experiment of rolling three fair coins consists of all possible outcomes when three coins are tossed simultaneously. Therefore, there are 2 x 2 x 2 = 8 possible outcomes in the sample space.
In this experiment, we are rolling three fair coins. To find the number of elementary events in the sample space, we need to consider all possible outcomes.
An elementary event is an individual outcome in the sample space. The sample space is the set of all possible outcomes for an experiment. In this case, each coin can have 2 possible outcomes: heads (H) or tails (T).
Each outcome in the sample space is an elementary event, which is an outcome that cannot be further broken down into simpler outcomes. Therefore, there are 8 elementary events in the sample space of this experiment.
Since there are three coins, we can determine the number of elementary events in the sample space by multiplying the number of outcomes for each coin: 2 (for the first coin) x 2 (for the second coin) x 2 (for the third coin) = 8.
So, there are 8 elementary events in the sample space of this experiment. The correct answer is c. 8.
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Can a regular polygon have an interior angles of 169?
Answer:
No.
Step-by-step explanation:
If it is a regular polygon then the sum of its exterior angles add up to 360 degrees. The number of sides in such a polygon = 360 / exterior angle.
Here each exterior angle = 180-169 = 11 degrees,
Now 11 is not a factor of 360 and if we try to find the number of sides we don't get a whole number, so the answer is NO.
An interior angle 169° cannot form an regular polygon.
What is a polygon?The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other. An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon.
For the given situation,
An interior angle of the polygon = 169
The angle of the sum of all the types of interior angles is always equal to 180 degrees.
⇒ \(180-169=11\)
Number of sides can be found by dividing the angle by 360°.
We cannot divide 360 by 11, because 11 is not the factor of 360.
Hence we can conclude that an interior angle 169° cannot form an regular polygon.
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A ladder 8m long, leaning against a vertical wall makes an angle of 75 degrees with the ground.
Answer:
the length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet
Step-by-step explanation:
The scale drawing below represents the side of a ramp. In the scale drawing, two inches equals five feet.
What is the actual area, in square feet, of the side of the ramp?
Answer:
(1/2)(6)(4) = 12 square inches
2 inches = 5 feet, so 4 square inches = 25 square feet.
12/4 = s/25, so s = 75 square feet
Find the missing length for the highlighted variable.
T=?
To find the missing length T, follow the given information and calculations.
In order to find the missing length T, we need additional information or measurements to perform the calculation. Please provide the relevant details, such as the specific shape or context of the problem, any given measurements or equations, or any other relevant information. Once the necessary information is provided, I will be able to assist you in finding the missing length T using the appropriate formulas or methods.
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List 2 whole numbers that 1 can multiple to get to 125
Answer:
5, 25
Step-by-step explanation:
When you multiply any two whole numbers with each other and get 125 as the answer, you can say that both the numbers will be the factors of 125. 1× 125 = 125 and 5 × 25 = 125; thus, the factors of 125 are 1, 5, 25, and 125.
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
\(43.1 ^{\circ}F\)
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of \(1.7 ^{\circ}F\) in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 \(^{\circ}F/\text{ft}\).
If the change in height is \(\Deltah\)\(\Delta h\) feet, the temperature drop,
\(\Delta T= \Delta h R \;^{\circ}F\cdots(i)\)
The temperature on the ground is 49.9 \(^{\circ}F\).
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
\(\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.\)
Hence, the temperature at an altitude of 4000 feet \(= 49.9-6.8=43.1 \;^{\circ}F\).
help
plssssssssssssssss
Answer:
x= 28
Step-by-step explanation:
10/70=4/x
In a group of 200 children 35 are allergic to peanut. What percentage of children are allergic to peanut?
Answer:
17.5%
Step-by-step explanation:
We know that there are 35 out of 200 allergic to peanut
So we take
35 divided by 200, then times 100% = 17.5%
So, 17.5 of children are allergic to peanut
What are the reasons?
Given: 3x + 1 = -14; Prove: x = -5
Statements
Answer:
x=-5
Step-by-step explanation:
Statement Reason
3x+1 =-14 Given
3x=-15 Subtraction Property of Equality
x=-5 Division Property of Equality
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Lorraine can fill 8 jars with the tomatoes from the 2.5-gallon pot.
Give reason to support your answer ?First, we need to convert the volume of the pot from gallons to quarts, since the jars are measured in quarts:
2.5 gallons = 2.5 * 4 quarts = 10 quarts
Next, we can divide the total volume of the pot in quarts by the volume of each jar in quarts to find the number of jars Lorraine can fill:
10 quarts / 1.25 quarts per jar = 8 jars
So Lorraine can fill 8 jars with the tomatoes from the 2.5-gallon pot.
What is mensuration?Mensuration is a branch of mathematics that deals with the measurement of various geometric figures and objects, such as lengths, areas, and volumes. It is concerned with finding the size, shape, and measurement of geometric objects, such as points, lines, circles, polyggon, and solids.
Mensuration is used in various areas of mathematics, science, and engineering to solve problems involving measurements, such as finding the area of a rectangle, the volume of a cylinder, the circumference of a circle, or the surface area of a sphere.
Mensuration provides a set of mathematical formulas and methods for measuring geometric objects, and it requires knowledge of basic concepts such as perimeter, area, volume, and surface area. These concepts are used to find the size of objects and to compare different objects to one another based on their measurements.
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I’m a poll, 100 people were asked to indicate if they prefer to drive a truck or car and their gender. Based on the table, which of the following statements is NOT true?
Answer:
B) men are less likely to prefer driving trucks than women
Step-by-step explanation:
how do I find the inverse function of
To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.
To find the inverse function of F(x) = 2x - 3, follow these steps
Replace F(x) with y. The equation now becomes y = 2x - 3.
Switch the positions of x and y, so the equation becomes x = 2y - 3.
Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.
Divide both sides by 2 (x + 3)/2 = y.
Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.
So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.
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--The given question is incomplete, the complete question is given
" How do I find the inverse function of F(x) = 2x - 3"--
A wall of a building is 34 inches wide Sixteen inches is concrete, 12 inches is brick, and 6 inches is limestone What fraction of the wall is concrete?
what is the examole of equal set ?
Answer:
Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.
Step-by-step explanation:
Best one gets brainly
Answer: The answer is B>3 so if you don't have one with an open circle and going right then the answer is a , but the correct answer would be an open circle to the right or 3
Step-by-step explanation:
Data that are accurate, consistent, and available in a timely fashion are considered: A) Oracle-based. B) Microsoft-based. C) high-quality. D) low-quality.
Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.
High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.
It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.
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Use the formula for the sum of a finite series and substitute P for the value of a, the monthly payment you just found. Also, substitute 1 + i for the r value in the formula since the rate of increase is now 1 + the interest rate = i. Now rewrite the formula with the substituted values in simplest form. That simplified formula will determine the future value of a structured savings plan with recurring deposits.
Answer:
\(F.V.=\dfrac{P[(1+i)^n-1]}{i}\)
Step-by-step explanation:
Sum of finite geometric series, \(S_n=\dfrac{a(r^n-1)}{r-1}\)
Substitute P for the value of aSubstitute 1 + i for rThat gives us:
\(F.V.=\dfrac{P[(1+i)^n-1]}{(1+i)-1}\\\\=\dfrac{P[(1+i)^n-1]}{1+i-1}\\\\F.V.=\dfrac{P[(1+i)^n-1]}{i}\)
Where:
F.V.=Future ValueP=Recurring deposits.i=Interest Raten=Number of depositsThis is the formula that is used to determine the future value of a structured savings plan with recurring deposits.