Answer:
3t+8
Step-by-step explanation:
Answer:
3t + 8
Step-by-step explanation:
Let the number be represented by
t
Now Interpreting the statement;
Three times a number;
3 × t
3t
Increased by eight;
3t+8
I hope this is helpful
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5 Write an equation for each of the following and solve it. (a) The sum of one-sixth ofx and -9 is -25.
Answer:
x= -96
Step-by-step explanation:
1
\( \frac{x}{6} + ( - 9) = - 25 \\ \frac{x}{6 } = - 25 - ( - 9) \\ \\ \frac{x}{6} = - 25 + 9 \\ \frac{x}{6} = - 16 \\ x = - 16 \times 6 \\ x = - 96\)
Answer:
\(\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}\)
\(\huge\boxed{\bf\: Solution \rightarrow - 96}\)
Step-by-step explanation:
Take the variable as 'x'.
Let's breakdown the given statement.
⅙th of x =⅙*xThe sum of ⅙*x & - 9 = ⅙*x + (-9)Is equal to = ⅙*x + (-9) = - 25Given equation,
⅙*x - 9 = - 25
By solving,
⅙*x - 9 = - 25
⅙*x = - 25 + 9
⅙*x = - 16
x = - 16 * 6
x = \(\boxed{\bf\: - 96}\)
\(\rule{150pt}{2pt}\)
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
Solve.
−3.1=−3.5x−4.6
Enter your answer as a fraction in simplest form in the box.
x =
Answer:
The answer is -3/7.
Hope this answer helps.
The solution of the expression will be;
⇒ x = - 3/7
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3.1 = - 3.5x - 4.6
Now,
Solve the equation as;
The expression is,
⇒ - 3.1 = - 3.5x - 4.6
⇒ 3.5x = 3.1 - 4.6
⇒ 3.5x = - 1.5
⇒ x = - 1.5 / 3.5
⇒ x = - 15/35
⇒ x = - 3/7
Thus, The solution of the expression will be;
⇒ x = - 3/7
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What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
What is described as a series of rigid transformations, ie, translations, rotations, and reflections
Answer:
Step-by-step explanation:
A series of rigid transformations, including translations, rotations, and reflections, is known as Euclidean transformations or Euclidean motions. These are transformations that preserve distances, angles, and orientation, and are commonly used in geometry and physics to describe the movement of objects in space. By applying a series of these transformations, an object can be moved, rotated, or reflected without altering its shape or size. These transformations are also commonly used in computer graphics and computer vision to create animations and manipulate images.
rewrite 36 2/3% in lowest terms
Answer:
1/2 and 2/4
Step-by-step explanation:
△ABC has vertices A(-2, 0), B(0,8), and C(4,2) Find the equations of the three altitudes of △ABC
The equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.What is a triangle?A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to determine a slope?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Also, the point-slope form of a straight line is given by this equation:
y - y₁ = m(x - x₁)
Assuming the following parameters for triangle ABC:
Let AM be the altitudes on BC.Let BN be the altitudes on CA.Let CL be the altitudes on AB.For the equation of altitude AM, we have:
Slope of BC = (2 - 8)/(4 - 0)
Slope of BC = -6/4
Slope of BC = -3/2
Slope of AM = -1/slope of BC
Slope of AM = -1/(-3/2)
Slope of AM = 2/3.
The equation of altitude AM is given by:
y - y₁ = m(x - x₁)
y - 0 = 2/3(x - (-2))
3y = 2(x + 2)
3y = 2x + 4
3y - 2y - 4 = 0.
For the equation of altitude BN, we have:
Slope of CA = (2 - 0)/(4 - (-2))
Slope of CA = 2/6
Slope of CA = 1/3
Slope of BN = -1/slope of CA
Slope of BN = -1/(1/3)
Slope of BN = -3.
The equation of altitude BN is given by:
y - y₁ = m(x - x₁)
y - 8 = -3(x - 0)
y - 8 = -3x
y + 3x - 8 = 0.
For the equation of altitude CL, we have:
Slope of AB = (8 - 0)/(0 - (-2))
Slope of AB = 8/2
Slope of AB = 4
Slope of CL = -1/slope of AB
Slope of CL = -1/4
The equation of altitude CL is given by:
y - y₁ = m(x - x₁)
y - 2 = -1/4(x - 4)
4y - 2= -(x - 4)
4y - 2= -x + 4
4y + x - 2 - 4 = 0.
4y + x - 6 = 0.
In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.Read more on point-slope form here: brainly.com/question/24907633
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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These shapes are similar. Find x. 4,10,12,2,5 find x
The value of x for the similar shapes with corresponding sides 4, 10 and 12, and the unknown side x and 5 is 6.
We may utilise the requirement that the ratio of corresponding side lengths of similar shapes must be the same to determine the value of x for the similar shapes with corresponding sides 4, 10, and 12, and the unknown side x and 5.
We might start by noting the proportion between the two shapes' longest sides:
12 / x = 10 / 5
Next, let's condense the right side:
10 / 5 = 2
When we add this to the initial equation, we obtain:
12 / x = 2
When we multiply both sides by x, we obtain:
12 = 2x
Divide both sides by 2, and the result is x = 6.
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If c(x) = 2x^2 - 4x + 3 and d(x) = -x^3 + x + 1 find c(3a)
Answer:
c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.
Step-by-step explanation:
c(3a) = 18a^2 - 12a + 3
Note: this is the simplified form of the expression.
Y + 1 1/6 = 7 5/6 what is Y
Answer:
6\(\frac{2}{3}\)
Step-by-step explanation:
y + 1\(\frac{1}{6}\) = 7\(\frac{5}{6}\)
y + \(\frac{7}{6}\) = \(\frac{47}{6}\)
y = 40/6 = 20/3 = 6\(\frac{2}{3}\)
The illustration below is an example of a semi-regular tessellation.
A. True
B. False
The illustration below is a semi-regular tessellation is a false statement.
What is Tessellation?Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.
One geometric shape will not overlap with the other and there will not be any gaps in between.
There are regular tessellations as well as semi-regular tessellations.
Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.
Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.
Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.
It is actually regular tessellation.
Hence the statement that the illustration is semi-regular tessellation is incorrect.
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should i get taco bell or mcdonald’s after hours of stressing and overthinking me and everyone else’s existence ¿
Answer:
taco bell
Step-by-step explanation:
Answer:
i would say taco bell
Step-by-step explanation:
have a blessed day :)
-3 3/4+ 1/2 please help
Answer:
-3.25 or -3 1/4
Step-by-step explanation:
-3.75
+ .5
_______
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Are they all right? If not please tell me what the answers are. Thanks! (Math)
Answer:
yes
Step-by-step explanation:
They are absolutely correct. Good Job
A circular garden has a diameter of 12 feet. About how much trim is needed to surround the garden by placing trim on the garden's circumference?
Trim = circumference
= 2\(\pi r\)
= 2 x 3.14 x 6
= 37.68 feet
Find x (round to the nearest tenth)
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.
AB/BD = CD/DE
x/12 = 4/6
x = 12(4/6)
x = 8
if x varies directly as y, and x=9 when y=3, find x when y=12
X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by the constant of Variation , value of x is 36.
X varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:
x = ky
where k is the constant of variation.
To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:
9 = k * 3
Solving for k, we divide both sides of the equation by 3:
k = 9/3
k = 3
Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:
x = 3 * 12
x = 36
Therefore, when y = 12, the corresponding value of x is 36.
if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.
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If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?
There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No
Answer:
I don't think so
Step-by-step explanation:
There are some numbers called the Taxi cabs they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 17291729 = 1³+12³=9³+10³ there are four numbers (1,12,9,10) i don't think so that there are 3 numbersThe pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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How would you find the area? (6.1.B.4.4)
Step-by-step explanation:
What is the numbers to find the arra
Find the distance between the two points rounding to the nearest tenth
(-4, 2) and (3, 5)
Answer:
-8.66666666666666666666666666666666666
-9
Step-by-step explanation:
5 - x divided by 3/4 x = 1/3
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
Which statements describe valid ways to rewrite a percent as a fraction? Check all that apply.
Write a fraction using the percent over 10 and simplify.
Write a fraction using the percent over 100 and simplify.
Divide the percent by 100, write it as a fraction, and simplify.
Multiply the percent by 100, write it as a fraction, and simplify.
Answer:
Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.
Step-by-step explanation:
Let's test all the answers and see which statements are true.
Let's just use 50 as the percent to test it. These statements should end up looking like \(\frac{1}{2}\)
Write a fraction using the percent over 10 and simplify.
\(\frac{50}{10} =5\), half of ten is 5, so this makes it invalid.
Write a fraction using the percent over 100 and simplify.
\(\frac{50}{100} =\frac{1}{2}\), this is valid.
Divide the percent by 100, write it as a fraction, and simplify.
\(\frac{50}{100} =\frac{1}{2}\), valid!
Multiply the percent by 100, write it as a fraction, and simplify.
\(50*100=500\), invalid.
The two valid statements are: Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.
Answer:
abc
Step-by-step explanation:
5.5 + n = 10 please help
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
If 3^14 + 3^14 + 3^14 = 3^x, what is the value of x?
The value of x = 15.
The equation given is \(3^{14}\) + \(3^{14}\) + \(3^{14}\) = \(3^{x}\).
We can simplify this equation by adding the three terms on the left-hand side, which gives us 3(\(3^{14}\)) =\(3^{15}\).
Therefore, x = 15.
To understand why this is the case, we need to remember the laws of exponents.
The law of exponents states that when we multiply two numbers with the same base, we can add their exponents.
So, for example, \(3^{2}\) * \(3^{3}\) = \(3^{2+3}\) = \(3^{5}\).
Using this law, we can see that \(3^{14}\) +\(3^{14}\) + \(3^{14}\) is the same as 3 * \(3^{14}\).
And since 3 is also a factor of \(3^{15}\), we can combine the terms to get \(3^{15}\).
Therefore, x = 15.
We arrived at this conclusion by using the law of exponents to combine the terms on the left-hand side of the equation.
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The dot plot shows the weight (in pounds) of several dogs have an animal shelter. Find interpret the number of data values. Use clusters, peaks, or gaps to answer that statistical question, “what is the weight of a typical dog at the animal shelter ?”
From the dot plot in this problem, we have that there are 12 dogs in the shelter, with a typical weight of 50 pounds, which is the median of the data-set.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
The dot plot shows how many times each weight was observed, hence the number of dogs in the shelter is given as follows:
12.
The median is the mean of the 6th and 7th elements, in an increasing way, which are both 50, hence it is aso of 50 pounds, representing the typical weight of a dog.
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