What is 2/3, 7/6, 3 1/9, and 5 5/18 written as a decimal?
Please give an explanation and a correct answer!
I will give brainliest to whoever answers first!
Answers
Step-by-step explanation:
\( \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722\)
Related Questions
an experiment is performed and the results indicate that caffeine has a significant positive effect on word processing accuracy. in this experiment, caffeine is the variable, whereas word processing accuracy is the ______ variable.
Answers
Caffeine in this experiment is the independent variable whereas word processing accuracy is the dependent variable.
What are independent and dependent variables?An indepent variable is the parameter in any experiment which can be manipulated by the experimenter. The dependent variable on the other hand is influnced by the changing independent variable, hence it is dependent on the independent variable.
In this particular experiment caffeine is the independent variable which can be changed by increasing or decreasing its level to see it's effect on the population. Word proccesing accuracy is the dependent variable which can be observed and measured depending upon the changing caffeine levels.
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Find solution r+9-6r=28
Answers
Answer:
hope this is correct
13 and 14 pls help :))
Answers
Answer:
1st and 2nd options
Step-by-step explanation:
Using the method of completing the square to obtain standard form
(13)
Rearrange the given equation so x and y terms are together, that is
x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )
x² + 24x + y² + 30y = - 353
To complete the square
add ( half the coefficients of the x/ y term)² to both sides
x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225
(x + 12)² + (y + 15)² = 16
(x + 12)² + (y + 15)² = 4² ← in standard form
with centre = (- 12, - 15 ) and radius = 4
---------------------------------------------------------------------
(14)
As in number 13
x² - 22x + y² + 16y = - 181
Complete the square
x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64
(x - 11)² + (y + 8)² = 4
(x - 11)² + (y + 8)² = 2² ← in standard form
with centre = (11, - 8 ) and radius = 2
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
Answers
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
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Martha stewart is mixing up a big batch of eggnog for the holidays. suppose she has a big mixing vat containing 100 gallons of egg yolks. at time t = 0, her assistant starts pouring a milk and sugar mixture containing 1/2 lb of sugar per gallon into the vat at a rate of 4 gallons per minute. at the same time, mixed eggnog starts leaving the vat a rate of 4 gallons per minute. let s(t) be the amount of sugar (measured in pounds) in the vat at time t, where t is measured in minutes.
required:
a. at time t, how many gallons of eggnog are in the vat?
b. at time t, what is the rate at which sugar is entering the vat?
Answers
At any given time t, the amount of eggnog in the vat is (100 - 4t) gallons, and the rate at which sugar is entering the vat is 2t lb per minute.
To determine the number of gallons of eggnog in the vat at time t and the rate at which sugar is entering the vat, we need to consider the rate at which the milk and sugar mixture is being poured in and the rate at which the eggnog is leaving the vat.
a. The rate at which eggnog is leaving the vat is 4 gallons per minute. Therefore, at any given time t, the amount of eggnog remaining in the vat can be calculated by subtracting 4t from the initial 100 gallons. Thus, the number of gallons of eggnog in the vat at time t is (100 - 4t) gallons.
b. The rate at which the milk and sugar mixture is being poured into the vat is 4 gallons per minute. Since the mixture contains 1/2 lb of sugar per gallon, the rate at which sugar is entering the vat can be calculated by multiplying the rate of pouring (4 gallons per minute) by the sugar concentration (1/2 lb of sugar per gallon). Therefore, the rate at which sugar is entering the vat at time t is 2t lb per minute.
In summary, at time t, the amount of eggnog in the vat is (100 - 4t) gallons, and the rate at which sugar is entering the vat is 2t lb per minute.
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A bike wheel has a 16-inch diameter. Approximately how far will the wheel travel in three rotations? Use 3.14
for π
Answers
Answer:
151 inches
Step-by-step explanation:
Nakeisha is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Nakeisha's songs were played on 2 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $760. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Nakeisha's songs were played. Define the variables that you use to write the system.
Answers
hese two equations can be used to solve for the values of c and m.
Let's define:
c = the number of commercials on which Nakeisha's songs were played
m = the number of movies on which Nakeisha's songs were played
Based on the problem statement, we can set up the following system of equations:
Nakeisha's songs were played on 2 more commercials than movies:
c = m + 2
Nakeisha's total earnings on the royalties from all commercials and movies was $760:
30c + 110m = 760
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What is the volume of this cylinder?
Answers
Answer:
The volume of this cylinder is 502.4 cubic inch
Step-by-step explanation:
For a given Cylinder
Radius (r) = 4 in.
Height (h) = 10 in.
Now,
Volume of Cylinder
V = πr²h
V = 3.14 × (4)² × 10
V = 3.14 × 16 × 10
V = 502.4 cubic inch
Thus, The volume of this cylinder is 502.4 cubic inch
-TheUnknownScientist
A laptop has a listed price of $807.95 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent,as necessary.
Answers
Mrs. Bartz was going shopping for Halloween Candy for her first grade class. If
a bag of 25 Skittle's costs $4.00, how much would one bag of Skittles cost?
Answers
Answer:
The answer is 0.16
Step-by-step explanation:
because if you add .16 25 times or if you see the other answers it cant be 6.25 or 1.05 you think it could be 0.82 but its not
Answer:
0.16
Step-by-step explanation:
Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
Answers
An equilateral triangle and a square both have perimeters of 48 inches. What is the ratio of the length of the side of the triangle to the length of the side of the square
Answers
Answer: 4:3
Step-by-step explanation:
The side length of the triangle is 48/3 = 16.
The side length of the square is 48/4 = 12.
So, the ratio is 16:12 = 4:3.
in a random sample of 400 registered voters, 120 indicated they plan to vote for trump for president. determine a 95% confidence interval for the proportion of all the registered voters who will vote for trump.
Answers
The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.
We can use the following calculation to calculate a confidence interval for the percentage of all registered voters who intend to support Trump:
CI = p ± z\(\sqrt((p(1-p))/n)\)
where:
p is the proportion of the sample that will support Trump in the vote.
The critical value for the desired confidence level is z (95% confidence corresponds to a z-value of 1.96).
n is the sample size
When we enter the values from the issue, we get:
p = 120/400 = 0.3
z = 1.96
n = 400
CI = 0.3 ± 1.96sqrt((0.3(1-0.3))/400)
CI = 0.3 ± 0.049
CI = (0.251, 0.349)
Therefore, The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.
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can someone help!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12.42 + 3.6 = 16.02
1.81 + 19.25 = 21.06
-3.5 + 85.95 = 82.45
-75.23 + (-21.8) = -97.03
123.49 + (-6.02) = 117.47
Hope this helps.
Which statement is true about the angle bisector AD of △ABC?
Answers
Theorems are statements or propositions in mathematics that have been proven to be true based on logical reasoning or mathematical proof.
There are some general properties and theorems related to angle bisectors that can be considered:
Angle Bisector Theorem: The angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the adjacent sides. In other words, if AD is the angle bisector of ∠BAC, then BD/DC = AB/AC.
Concurrency of Angle Bisectors: In any triangle, the angle bisectors of the three angles are concurrent, meaning they intersect at a single point called the incenter. This point is equidistant from the sides of the triangle.
Equal Angles: The angle bisector divides an angle into two equal angles. In other words, if AD is the angle bisector of ∠BAC, then ∠BAD = ∠DAC.
Internal and External Angle Bisectors: An angle bisector can be internal or external to the triangle, depending on its position. Internal angle bisectors intersect within the triangle, while external angle bisectors extend outside the triangle.
These are some general statements and properties associated with angle bisectors.
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suppose that is continuous on and on . if the area between and the - axis on is 10, the average value of on this interval is
Answers
If the area between the function and the -axis on the interval [a, b] is 10 and the function is continuous on and on, then the average value of the function on this interval is between m and M, where m and M are the lower and upper bounds for the function on the interval.
To find the average value of a continuous function on an interval, we need to use the following formula:
Average value = (1 / b-a) * ∫[a,b] f(x) dx
where a and b are the endpoints of the interval, and ∫[a,b] f(x) dx represents the definite integral of the function over the interval.
In this case, we are given that the area between the function and the -axis on the interval [a, b] is 10. This means that ∫[a,b] f(x) dx = 10.
We don't know the values of a and b, but we do know that the function is continuous on and on, which means that it is continuous on the entire interval [a, b]. Therefore, we can assume that the function is integrable on this interval.
To find the average value of the function, we need to know the length of the interval [a, b]. This is given by the difference between the endpoints: b-a.
We don't know the value of b-a, but we do know that the function is continuous on and on, which means that it is bounded on this interval. This means that there exist numbers M and m such that m ≤ f(x) ≤ M for all x in [a, b].
We can use this information to find an upper bound and a lower bound for the average value of the function:
Lower bound = (1 / (b-a)) * ∫[a,b] m dx = m
Upper bound = (1 / (b-a)) * ∫[a,b] M dx = M
Therefore, the average value of the function on the interval [a, b] is between m and M. We cannot determine the exact value of the average value without knowing more information about the function or the interval.
In summary, if the area between the function and the -axis on the interval [a, b] is 10 and the function is continuous on and on, then the average value of the function on this interval is between m and M, where m and M are the lower and upper bounds for the function on the interval. The length of the interval [a, b] and the exact value of the function would be needed to find the exact value of the average value.
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For this problem, write the numbers in scientific notation. 2,156 A. 21.56 × 102 B. 2.156 × 103 C. 2.156 × 102
Answers
Answer:
2,156 A. 21.56
Step-by-step explanation:
Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2% motor oil. The "break in" mixture for a new engine is about 96% gasoline and about 4% motor oil. a. Write an equation in standard form that models the possible combinations of each kind of mixture you can prepare using 6 gallons of gasoline. b. If you prepare 4 gallons of the "break in" mixture, how much gasoline will you have for the standard mixture?
Answers
Answer:
0.98g+ 0.02m= 7.1224 gallons standard mixture
0.96g+ 0.04m= 6.25 gallons break oil
3.92 gallons of gasoline is required for 4 gallons the standard mixture
Step-by-step explanation:
If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2
Gasoline: Motor oil
6 : x
98 : 2
Using the product rule
x= 6*2/98= 0.1224 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be
0.98g+ 0.02m= 7.1224 gallons standard mixture
For break in oil
Gasoline: Motor oil
6 : x
96 : 4
Using the product rule
x= 6*4/96= 0.25 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be
0.96g+ 0.04m= 6.25 gallons break oil
Part b. For 4 gallons of the "break in" mixture
96% of the 4 gallons of the "break in" mixture is gasoline = 3.84 gallons of gasoline
4% of 4 = 0.16 gallons of motor oil
Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil
98% of 4 gallons= 3.92 gallons of gasoline
2% of 4 gallons= 0.08 gallons of motor oil.
With 6 gallons of gasoline you could obtain 6.12 gallons of standard mixture or 6.25 gallons of break in mixture. In turn, if 4 gallons of break in mixture were prepared, there would be 2.16 gallons of gasoline left to prepare standard mixture.
Since the standard gasoline and oil mixture is about 98% gasoline and about 2% motor oil, and the "break in" mixture for a new engine is about 96% gasoline and about 4% motor oil, to determine the possible combinations of each kind of mixture you can prepare using 6 gallons of gasoline and, if you prepare 4 gallons of the "break in" mixture, how much gasoline will you have for the standard mixture, the following calculations should be performed:
A)
Standard mixture =98 = 62 = X2 x 6/98 = 0.12Break in mixture =96 = 64 = X4 x 6/96 = 0.25Therefore, with 6 gallons of gasoline you could obtain 6.12 gallons of standard mixture or 6.25 gallons of break in mixture.
B)
100 = 4 96 = X 96 x 4/100 = 3.84 6 - 3.84 = 2.16
Therefore, if 4 gallons of break in mixture were prepared, there would be 2.16 gallons of gasoline left to prepare standard mixture.
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Answers
Answer:
see below
Step-by-step explanation:
3) 8
4) 4
5) 14
6) 47
7) 18/5
8) 3/2
9) 255/4
10) 16
11) 21
12) 40
13) 73.5
14) 1
15) 25/2 or 12.5
16) 0
17) 48
18) 862
19) 9765625
20) 343
21) 8.1x10⁻³
22) 10.24
23) 1/156
24) n⁷
25) y⁶
26) t⁴
27) error is 0.4² should be 0.02²
28) 5⁴ = 5 x 5 x 5 x 5 = 625
29) 9
30) 100
31) 1
32) 1331
33) 125
34) 1024
35) 64
36) 1296
37) 1/16
38) 16/81
39) 27/125
40) 1/216
hope you enjoy the answers.
Answer:
thx
Step-by-step explanation:
Which table represents a linear function?
Plz answer quickly!!! Thank you! :)
Answers
Answer:
The first one
Step-by-step explanation:
You can see the pattern
What is an equation of the line that passes through the points (-5, -1) and
(5, -3)?
Answers
The answer is
\(y = - \frac{1}{5} x - 1.2\)
or you can replace -1/5 with -0.2
follow the procedures in the attachment please.
There are 2 kids of the age 14 what is the percentage of the students that are 14?
Answers
Answer:
7% my answer i think if im mistake please dont report me
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
Answers
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
Solve for X: 3. (7x - 1) 125 Submit Question
Answers
Answer:
From the given figure;
\((7x-1)^0=125^0\)Reason: Alternate angle.
Solving for x;
\(\begin{gathered} 7x-1=125 \\ 7x=125+1 \\ 7x=126 \\ x=\frac{126}{7} \\ x=18 \end{gathered}\)Therefore, the value of x is;
\(x=18\)Expand and simplify (y+3)-(y-2)
Answers
= y + 3 - y + 2
= y - y + 3 + 2
= 5
Answer:
5
Step-by-step explanation:
Given
(y + 3) - (y - 2) ← distribute parenthesis
= y + 3 - y + 2 ← collect like terms
= 5
a commercial pilot must hold at least a second-class medical certificate. this certificate will expire for that operation how many months after the date of examination shown on the certificate?
Answers
Answer:
It will expire after 12 months
Step-by-step explanation:
Pls help need asap I’m stressing so much it would
Mean a lot just to help out I’ve been waiting
Answers
Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. One-fifth (x minus 2) = 20 By which number should Marina multiply both sides of the equation as the first step in solving it? One-fifth Four-fifths 5 20.
Answers
To solve the equation "One-fifth (x minus 2) = 20" using the multiplicative inverse, Marina needs to multiply both sides of the equation by the reciprocal of the coefficient in front of the variable.
In this case, the coefficient is one-fifth, which is equivalent to the fraction 1/5. The reciprocal of 1/5 is the fraction 5/1 or simply the whole number 5. Therefore, Marina should multiply both sides of the equation by 5 as the first step in solving it.
By multiplying both sides of the equation "One-fifth (x minus 2) = 20" by 5, the equation becomes:
5 * (One-fifth) * (x minus 2) = 5 * 20
This simplifies to:
x minus 2 = 100
Now, Marina can proceed with solving the equation by performing further operations to isolate the variable x.
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The value of 19 is between which two
integers?
Answers
Answer:
4 and 5
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I reached my limit so I can't exactly see questions can someone put it in the comments
Answers
Answer:
x = 11
Step-by-step explanation:
\(3x - 5 = \frac{12 + 4x}{2} \)
Cross multiply expressions
2(3x - 5) = 12 + 4x multiply inside the parenthesis with 2
6x - 10 = 12 + 4x transfer like terms to the same side of the equation
6x - 4x = 12 + 10 add/subtract
2x = 22 divide both sides by 2
x = 11