Evaluate the expression:
2/3-1/4+(-5/6)
Answer:
\( \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} \)
\( \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} \)
\( \\ = \frac{8 - 3 - 10}{12} \)
\( \\ = \frac{8 - 13}{12} \)
\( \\ = \frac{ - 5}{12} \)
Given that AB is a line segment and the angle y = 47°, work out the value of the angle marked x.
The diagram is not drawn to scale.
Please answer..
Answer:
x = 133°
Step-by-step explanation:
Straight-line pair - A pair of angles that lie on a straight line.
*Property*
The sum of two angles of a straight-line pair is equal to 180°.
The given angles – x and y – form a straight-line pair.
==> x + y = 180
{y = 47° (given in the question)}
Substituting 47 for y:
==> x + 47 = 180
Subtracting 47 from both sides:
==> x = 47 - 47 = 180 - 47
==> x = 133
Answer:
\(\huge\boxed{\bf\:x^{\circ} = 133^{\circ}}\)
Step-by-step explanation:
From the given figure, we can see that the 2 pairs of angles, x° & y° form a linear pair where they're sum will be 180°.
In line segment AB, it's given that y = 47°. This means that,
\(\sf\:x^{\circ} + y^{\circ} = 180^{\circ}\\\sf\:x^{\circ} + 47^{\circ} = 180^{\circ}\\\sf\:x^{\circ} = 180^{\circ} - 47^{\circ}\\\boxed{\bf\:x^{\circ} = 133^{\circ}}\)
•°• The value of the angle marked as x = 133°
\(\rule{150}{2}\)
Some Key Definitions:Linear Pair:
A pair of angles that make a straight line. If they make a straight line then their angle will be 180° .Supplementary Angles:
Angles that sum up to 180°. A linear pair forms supplementary angles.180° :
The exact half of a full angle (360°).360/2 = 180180° is also known as a srraight angle.\(\rule{150}{2}\)
3 3/4 + 4 5/8 =
with working?
Answer:
8 3/8
Step-by-step explanation:
Cuál lugar es más burro tu eres más burro no importa para nada se espera nada escapes burro no sirve para nada x musique
Answer:
no se perdon
Step-by-step explanation:
GG
Answer:
Step-by-step explanation:
A college professor stops at McDonald's every morning for 10 days to get a number 1 value meal costing $5.39. On the 11th day he orders a number 8 value meal costing $4.38.
Which of the following are true?
Select all that apply.
Select one or more:
1) During the first 10 days the professor's standard deviation was more than 0.
2) During the first 10 days the professor's standard deviation was less than 0.
3) During the first 10 days, the professor's standard deviation was 0.
4) It is impossible to tell anything about the professor's standard deviation for the first 10 days.
5) Considering all 11 days, the professor's standard deviation was lower than the standard deviation of the first 10 days.
6) Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
7) Considering all 11 days, the professor's standard deviation was the same as the standard deviation of the first 10 days.
8) Considering all 11 days, It is impossible to tell anything about the professor's standard deviation compared to the first 10 days
The following statements are true:
1. During the first 10 days the professor's standard deviation was more than 0.
4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.
6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.
How to explain the informationThe standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.
This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.
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Can someone help me understand this?
Answer:
the slope is 5. 5/1
Step-by-step explanation:
Use rise over run to find slope. It is the easiest way to find slope
You rise 5 and 1 to the right
Answer:
The slope is 5
Step-by-step explanation:
So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.
(0, 2) and (-1, -3)
So to find the slope, we have to find (the difference in y) / (the difference in x)
So we're going to do
-3-2/-1-0
Which is
-5/-1
So since there are two negatives, it become positive, and it'll simplify into 5.
So the slope of the line is 5
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution? 10 seconds 20 seconds 30 seconds 60 seconds
It takes approximately 26.56 seconds for the ferris wheel to make one revolution.
so, the correct option is: e) 26.56 seconds
Here, we have,
The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.
This occurs when the sine function returns to its maximum value, which is 1.
Thus, we have the following equation:
20 * sin(π/30 * t) + 10 = 20
Solving for t,
we will get:
sin(π/30 * t) = 0.5
Taking the inverse sine of both sides:
(π/30 * t) = sin^-1(0.5)
Multiplying both sides by 30/π,
we will get the following:
t = (30/π) * sin^-1(0.5)
Now solving the value of t
We will get it as: t ≈ 26.56 seconds.
so, the correct option is: e) 26.56 seconds
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complete question:
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?
a) 10 seconds
b) 20 seconds
c) 30 seconds
d) 60 seconds
e) 26.56 seconds
what two numbers multiply up to -24 and add up to 2
Answer: whatdidshesay
Step-by-step explanation:
I would like help again please and thank you for your help ? If you purchase a $24 pair of shoes at a 10% discount
and a $10 belt at a 25%
discount, what is the total
Of the discounts you
receive. What is the
total price you owe,
before tax
Answer:
With the discounts, you saved a total of $4.90. You still owe $29.10.
Step-by-step explanation:
Shoes:
10% of 24 is 2.4
The shoes cost 21.60 with the 10% discount and before tax.
Belt:
25% of 10 is 2.5
The belt cost $7.50 with the 25% discount and before tax.
Total:
You still owe 29.10 for the belt and shoes before tax.
You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)
rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Answer:
The Answer would be option C. 3/4 books per hour
Step-by-step explanation:
You would flip 1/3 to 3/1 which makes it a whole number. then multiply
1/4 and 3.
Therefore your answer is 3/4
I hope this helped you,
Please answer! I’ll make brainliest
Answer:
16 feet
Step-by-step explanation:
We are Given that
We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.
The building height And distance of the bottom of ladder and building is our legs so our formula we use is
\( {30}^{2} + {x}^{2} = {34}^{2} \)
\(900 + {x}^{2} = 1156\)
\( {x}^{2} = 256\)
\(x = 16\)
Here is the. Questions wich point is located
Answer:
c
Step-by-step explanation:
c is the point (2,3) in the question
Find the missing angle measure.
Answer:
83
Step-by-step explanation:
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
A and B are functions
Step-by-step explanation:
for A, none of the x's repeat which makes it a FUNCTION
for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)
for C, 10 repeats for the x so it is NOT A FUNCTION
Which step can you use to solve the equation y/3 = 5
Answer:
y = 15
Step-by-step explanation:
You can use the addition property of equality.
1) time 3 to +3 and 5
3 x /3 = 0
3 x 5 = 15
2) Now, we are left with y = 15
Therefore, y = 15
Hope this helps! :D
Solve the following inequality
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
how many strings of length 5 can you write, using the letters x, y, and z so that no two consecutive letters are the same? for example, x z x y z is a valid string, but x y x z z is not.
There are 48 valid strings of length 5 that we can create using the letters X, Y, and Z.
First, let's consider how many strings of length 1 we can create. We have three choices for the first letter - X, Y, or Z - so there are 3 possible strings of length 1.
Next, let's consider how many strings of length 2 we can create. We cannot use the same letter twice in a row, so for the second letter, we only have two choices.
Therefore, there are 2 possible strings of length 2 for each of the 3 possible strings of length 1, giving us a total of 6 possible strings of length 2.
Moving on to strings of length 3, we now have to consider the choices for the third letter. Again, we cannot use the same letter twice in a row, so for the third letter, we also have two choices. Therefore, there are 2 possible strings of length 3 for each of the 6 possible strings of length 2, giving us a total of 12 possible strings of length 3.
Using combinations, we can see that the total number of strings of length 5 that we can create in which no two consecutive letters are the same is:
3 x 2 x 2 x 2 x 2 = 48
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2hr+20min+60sec are equal to _____ minutes
It is correct
quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2
Answer:
50
Step-by-step explanation:
100/2=50
Answer:
100 divided by 2 is 50
Step-by-step explanation:
i just did it in my head
Dahlia runs a fruit store. She started Monday with 22 cherries in stock. During the day, she sold 19 cherries and got a shipment of fresh cherries. The shipment contained 3 times as many cherries as she started the day with. How many cherries does Dahlia have in stock at the end of the day?
The amount of cherrries that Dahlia has in stock at the end of the day is 69.
How many cherries does Dahlia have in stock at the end of the day?The first step is to determine the number of cherries that were remaining after 19 were sold.
Cherries remaining = 22 - 19 = 3
Number of cherries in the shipment == 22 x 3 = 66
Total number of cherries at the end of the day = 66 + 3 = 69
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Brihanna travels 60 kilometers in two hours. How many meters of distance will she cover in one minute?
Answer:
1
Step-by-step explanation:
60 Kilometers = 120 minutes
60 ÷ 120 = .5
.5 × 2 = 1
1 kilometer = 2 Minutes
If a polynomial has a root of −2, what FACTOR will divide evenly into the polynomial?
Given:
A polynomial has a root of −2.
To find:
The factor that will divide evenly into the polynomial.
Solution:
We know that, if c is a root of a polynomial P(x), then (x-c) is a factor of polynomial P(x).
we have,
-2 is a root of polynomial.
⇒ (x-(-2)) is a factor of polynomial.
⇒ (x+2) is a factor of polynomial.
⇒ (x+2) will divide the polynomial completely.
Therefore, the factor (x+2) will divide evenly into the polynomial.
The factors of a polynomial divide the polynomial evenly, without remainder
The factor of the polynomial is x + 2
The root of the polynomial is given as:
\(\mathbf{Root = -2}\)
Assume the polynomial is a function of x.
i.e. the variable of the polynomial is x
Then the root can be represented as:
\(\mathbf{x= -2}\)
Add 2 to both sides
\(\mathbf{x + 2= -2 +2}\)
So, we have:
\(\mathbf{x + 2= 0}\)
Hence, the factor of the polynomial is x + 2
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what is the algebraic expression for: the quotient of 5 and y added to 3 is at least 5
the quotient of 5 and y: 5÷y
added to 3: 3 + 5÷y
is at least (AKA is greater than or equal to) 5: 3 + 5÷y ≥ 5
Answer: 3 + 5÷y ≥ 5
What is the value of g(-4) + g(1) ?
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
a flavored-water company wants to know how many people prefer its new lemon-flavored water over two competitors' brands. the company hires you to survey 1000 people and ask them to rank the three drinks in order of preference. after conducting the survey, you find that 35% prefer the lemon-flavored water over competitor a, 38% prefer the lemon-flavored water over competitor b, and 47% did not prefer the lemon-flavored water over either competitors brand. what is the probability that someone prefers the lemon-flavored water over both competitors' brands?
the probability that someone prefers the lemon-flavored water over both competitors' brands is approximately 13.3%
we need to look at the overlap between the two groups that preferred the lemon-flavored water over competitor A and competitor B. According to the survey results, 35% of the 1000 people surveyed preferred the lemon-flavored water over competitor A, and 38% preferred it over competitor B. However, we also know that 47% did not prefer the lemon-flavored water over either competitor's brand.
To calculate the probability that someone prefers the lemon-flavored water over both competitors' brands, we need to use conditional probability. We can start by subtracting the percentage of people who did not prefer the lemon-flavored water over either competitor's brand from 100% to get the percentage of people who preferred at least one of the three drinks.
100% - 47% = 53%
Next, we can find the probability that someone prefers the lemon-flavored water over both competitors' brands by multiplying the percentages of people who preferred the lemon-flavored water over competitor A and competitor B.
35% × 38% = 13.3%
In conclusion, based on the survey results, we can say that there is a 13.3% probability that someone prefers the lemon-flavored water over both competitor A and competitor B.
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The most important component of a physical structure is a solid foundation on which the rest of the structure sits. a strong foundation allows buildings to last longer and withstand many outside forces. just like the foundation of a building, a strong foundation for algebra is critical for success and allows you to extend your understanding to more complex mathematical and real-world situations. what are some of the foundational, or key, concepts of algebra that you have learned so far?
Some of the fundamental ideas that algebra has taught me so far include: using graphs, solving inequalities on the number line, learning how to work with variables and constants, solving linear equations, and solving quadratic equations.
What is algebra?Algebra is a branch of mathematics that focuses on mathematical operators or arithmetic operators and how they are used in their variant ways or combined to solve problems.
It should be noted algebra can also be used to illustrate real life problems.
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a first order reaction goes to half completion in 79 hours. what is the rate constant for this reaction? a) 7.9 × 10–3 h–1 b) 8.77 × 10–3 h–1 c) 79 h d) 39.5 h
The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.
The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.
In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.
Plugging this into the equation, we get:
79 = ln(2)/k
Solving for k, we get:
k = ln(2)/79
Using a calculator, we can evaluate this expression to get:
k = 8.77 × 10–3 h–1
Therefore, the correct answer is b) 8.77 × 10–3 h–1.
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Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55
Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.
The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.
Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.
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The average salary of a government worker is $40,916.00 per year. Given that this is about 6% percent higher than the yearly salary of a private-sector worker, find the yearly salary of the private-sector worker.
Answer: 68,186.
Step-by-step explanation:
just did the test