Eight times a number, added to the sum of the number and nineThe expression is?
Answers
Taking x as any number:
Eight times a number means 8x.
The sum of the number and nine is x+9
Now, eight times a number added to the sum of the number and nine is 8x+(x+9).
It means that the expression is:
\(8x+(x+9)\)If you want to reduce similar terms you can also write:
\(9x+9\)Related Questions
Please help me
Find the slope of the line on the graph
Answers
Answer:
slope = 6/10
Step-by-step explanation:
Point 1: (0,2)
Point 2: (10,8)
m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10
Algebra HELP PLS
The ceiling of Victoria's living room is a square that is 15√2 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Victoria can buy rolls that each contain 30 ft of crepe paper. what is the minimum number of rolls she should buy?
pls show your work
Answers
Answer:
Minimum 5 rolls---------------------------------------
Total length we need is the sum of the perimeter and two diagonals of the square.
Perimeter:
P = 4s P = 4(15√2) = 60√2 ≈ 85 ft (rounded up to the whole number)Diagonals:
2d = 2s√2 = 2(15√2)(√2) = 30*2 = 60 ftTotal length:
85 + 60 = 145 ftNumber of rolls:
145/30 ≈ 5 (rounded up to the whole number)The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?
0.36 ft
2.75 ft
10.99 ft
2.58 ft
Answers
Answer:
2.75 ft
Step-by-step explanation:
Answer:
2.75
Step-by-step explanation:
Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule:
Answers
The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.
To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...
By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.
Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.
Let's calculate the differences between consecutive terms:
-45 - (-39) = -6
51 - (-45) = 96
57 - 51 = 6
From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.
Let's calculate the ratios between consecutive terms:
-45 / (-39) ≈ 1.1538
51 / (-45) ≈ -1.1333
57 / 51 ≈ 1.1176
The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.
Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.
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Answer this question please ASAP
Answers
increase the mean
decreases the standard deviation
Urgently need this my kid is confused and so am I.
The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?
Answers
Answer:
The other equation is \(x + y = 21\)
The length and width are 13 and 8
Step-by-step explanation:
Given
\(Perimeter = 42\)
\(y = x - 5\)
Required
What is the other equation for the length and width?
x and y represents the length and width respectively.
The perimeter of a rectangle is calculated using:
\(Perimeter = 2 * (length + width)\)
In this case, it is:
\(Perimeter = 2 * (x + y)\)
Substitute 42 for perimeter
\(42 = 2 * (x + y)\)
Divide through by 2
\(21 = x + y\)
\(x + y = 21\)
Required: The values of length and width
We have that:
\(y = x - 5\)
\(x + y = 21\)
Substitute x - 5 for y in the second equation
\(x + x - 5 = 21\)
\(2x - 5 = 21\)
Add 5 to both sides
\(2x - 5 + 5 = 21 + 5\)
\(2x = 26\)
Divide through by 2
\(x = 13\)
Substitute 13 for x in \(y = x - 5\)
\(y = 13 - 5\)
\(y = 8\)
Hence, the length and width are 13 and 8 respectively
15 minutes can save you 15% more on car insurance
Answers
Answer:
you forgot the or
Step-by-step explanation:
15 minutes can save you 15% OR more on car insurance
For 24 points answer this question!
Answers
The volume of the composite figure is 6,330.24 in^3
How to find the volume of the figure?We know that the volume of half a sphere of radius R is:
V = (2/3)*pi*R^3
Here we know that pi = 3.14 and R = 12 inches, then the volume is:
V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3
And the volume of a cone of height H and radius R is:
v = (1/3)*pi*R^2*H
So here the volume is:
v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3
Then the total volume is:
3,617.28 in^3 + 2,712.96 in^3 = 6,330.24 in^3
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Which of the following numerical expressions results in a positive number? (-67) - 12 - 25 (-67) - (-76) (-67) - (-12) (-67) - (-25)
Answers
From the following numerical expressions given, the numerical expression which results in a positive number is (-67) - (-12).
In mathematics, subtraction is the process of finding the difference between two numbers. If two numbers have the same sign (both positive or both negative), the result of their subtraction will have the same sign as the numbers being subtracted.
However, if the numbers have different signs, the result of their subtraction will have the sign of the number with the larger absolute value. In this case, (-67) and (-12) have different signs, but (-12) has a larger absolute value than (-67). Therefore, the result of the subtraction will be positive.
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Which angle corresponds to <8?
Answers
Answer:
>4
Step-by-step explanation:
the answer of the question is >4
Write an expression to represent: 9 more than the quotient of 2 and x
Answers
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Find the slope from the 2 points. (-3, -6), (4, 6)
Undefined
12/7
0
-2
Answers
Answer:
\(\displaystyle m = \frac{12}{7}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)
Step-by-step explanation:
Step 1: Define
Identify.
Point (-3, -6)
Point (4, 6)
Step 2: Find Slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: \(\displaystyle m = \frac{6 - -6}{4 - -3}\)Evaluate [Order of Operations]: \(\displaystyle m = \frac{12}{7}\)Answer:
12/7
Step-by-step explanation:
slope= Y2-Y1
X2-X1
X1=-3
X2=4
Y1=-6
Y2=6
=
6--6
4--3
=12
7
4 is the slope of a line y - 4x = 0 true or false
Answers
it is false but 4 is not y-4x=0
Mr. Gupta gave his students a quiz with three questions on it. Let
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:
�
�
=
1.95
μ
X
=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:
�
�
≈
0.8
σ
X
≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let
�
YY represent a random student's score.
What are the mean and standard deviation of
�
YY?
Answers
The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.
How to answer the aforementioned questionGiven:
- Each correct question is worth 10 points.
- Every student receives an additional 555 bonus points.
Let's calculate the mean and standard deviation of YY:
Mean of YY:
The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:
μY = μX * 10 + 555
Substituting the value of μX from the given information:
μY = 1.95 * 10 + 555
μY = 19.5 + 555
μY = 574.5
Therefore, the mean score of a random student (YY) is 574.5.
Standard Deviation of YY:
The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:
σY = σX * 10
Substituting the value of σX from the given information:
σY = 0.8 * 10
σY = 8
Therefore, the standard deviation of the random student's score (YY) is 8.
Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
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The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
a) A mechanical engineer conducted experiments to investigate the effect of four different types of boxes on compression strength (lb). The sample means from five experiments for each type of box were 650, 750, 700, 650 (unit: lb). Compute the SSTr.
b) In a single-factor ANOVA problem involving 5 populations, the total number of observations is 20, SSTr = 12 and SST = 20. What is the MSTr, MSE, and test statistic f.
Answers
Grand mean = (650 + 750 + 700 + 650) / 4 = 687.5
Now, calculate the squared deviations:
(650 - 687.5)^2 = 1406.25
(750 - 687.5)^2 = 3906.25
(700 - 687.5)^2 = 156.25
(650 - 687.5)^2 = 1406.25
Finally, sum up the squared deviations and multiply by the number of samples per treatment (5 in this case):
SSTr = 5 * (1406.25 + 3906.25 + 156.25 + 1406.25) = 5 * 6875 = 34375
b) In this single-factor ANOVA problem, we have:
Total number of observations (n) = 20
Number of populations (k) = 5
SSTr = 12
SST = 20
To calculate MSTr (Mean Square for Treatments), we need to divide SSTr by the degrees of freedom for treatments (k - 1):
MSTr = SSTr / (k - 1) = 12 / (5 - 1) = 12 / 4 = 3
To calculate SSE (Sum of Squares for Errors), subtract SSTr from SST:
SSE = SST - SSTr = 20 - 12 = 8
To calculate MSE (Mean Square for Errors), divide SSE by the degrees of freedom for errors (n - k):
MSE = SSE / (n - k) = 8 / (20 - 5) = 8 / 15 ≈ 0.533
Finally, to calculate the test statistic F, divide MSTr by MSE:
F = MSTr / MSE = 3 / 0.533 ≈ 5.63
a) To calculate SSTr, we need to first find the overall mean of the samples and then use it to calculate the sum of squares due to treatments (SSTr).
The overall mean of the samples can be found by adding up all the sample means and dividing by the number of samples:
Overall mean = (650 + 750 + 700 + 650) / 4 = 687.5
Next, we can calculate SSTr using the formula:
SSTr = n * (sample mean - overall mean)^2
where n is the number of observations in each sample. In this case, n = 5 for each sample.
So for the first sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
For the second sample, SSTr = 5 * (750 - 687.5)^2 = 14062.5
For the third sample, SSTr = 5 * (700 - 687.5)^2 = 3062.5
For the fourth sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
Therefore, the total SSTr is:
SSTr = 5362.5 + 14062.5 + 3062.5 + 5362.5 = 27750
b) The degrees of freedom (df) for SSTr is k-1 where k is the number of groups/populations, and df for SSE is N-k where N is the total number of observations.
df(SSTr) = k - 1 = 5 - 1 = 4
df(SSE) = N - k = 20 - 5 = 15
The mean square for treatments (MSTr) is calculated as:
MSTr = SSTr / df(SSTr) = 12 / 4 = 3
The mean square for error (MSE) is calculated as:
MSE = SSE / df(SSE) = (20 - 5) / 15 = 1
Finally, we can calculate the F-test statistic as:
F = MSTr / MSE = 3 / 1 = 3
Therefore, the MSTr is 3, the MSE is 1, and the F-test statistic is 3.
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15 points! Will give BRAINLIEST! Please help!
Answers
Answer:
a. 1.2
Step-by-step explanation:
b. 0.4
What is the slope of the line that goes through the points (-4, 5) and (6, 2)?
Answers
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{-3/10}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Points (-4, 5) and (6, 2)}\)
Find: \(\textsf{Slope of the line that goes between the points}\)
Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.
Plug in the values
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)\(m = \frac{2 - 5}{6 - (-4)}\)Simplify the expression
\(m = \frac{-3}{6 + 4}\)\(m = -\frac{3}{10}\)Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.
System of equations solve by substitution for
6x-2y= -6
-5x+y=11
Answers
Answer:
x = -4 and y = -9 or (-4,-9)
Step-by-step explanation:
6x-2y=-6
-5x+y=11 add the two equations together combining like terms
________
x-y=5
x=5+y
Substitute for x in terms of y
6(5+y)-2y =-6
30+6y -2y=-6
4y = -36
y=-36/4
y=-9
Substitute -9 for y into any equation to find x
x=5+y
x=5-9
x=-4
check your work by plugging your answers into any equation
-5(-4)+(-9) =11
20-9=11
11=11 the answers verify
write the equation of a circle with diameter endpoints of (-14,1) and (-10,9)
Answers
Answer:
\((x+12)^2+(y-5)^2=80\)
Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is \(\sqrt{4^2+8^2}=\sqrt{80}\).
The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;
(x+1)²+(y-4)²=348.
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
Find the distance AB
d=√[(9 + 14)²+(-10 - 1)²]
d=√[576+121]
d=√697 units
The diameter=√697 units
r=√697/2 unit
Thus, the center of the circle is (-1,4)
Hence, the equation of a circle
(x-h)²+(y-k)²=r²
(x+1)²+(y-4)²=(√697/2)²
(x+1)²+(y-4)²=348
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HELP PLEASE all I need is the answer of b and c. The whole of the table is correct
Answers
b. You have a table that says 1-6 x 1-6 multiply 6x6 to get 36, that is your total number of squares. This number will also be our denominator.
Now you need to count the number of 1s (just the blue ones). You have 10 number 1s. This will be our numerator.
Let’s combine our two numbers into a fraction. Our numerator of 10 and denominator of 36 = 10/36
We need to simplify this number since it is not in its smallest possible form. A number that will factor into both 10 and 36 is 2.
After dividing both the top and bottom by 2 we get a simplified fraction of 5/18. This is our answer.
Part C.
First thing to know is that we already have the denominator of these fractions, it’s 36 all of the fractions we find will use the denominator 36.
Let’s start with 2, we have 8/36 which simplifies to 2/9
Next, 3: we have 6/36 which simplifies to 1/6
Next 4: we have 4/36 which simplifies to 1/9
Next 5: we have 2/36 which simplifies to 1/18
So it looks like the number 5 is the one that will simplify to become our answer!
WILL GIVE BRAINLIEST!!!!!! AND 40 POINTS
“Find the area of the shaded portion. Show all work for full credit.”
Answers
Answer:
360°
Step-by-step explanation:
xjjdjdjdjedjejdjej
hypotenuse side = 12
height = √12^2 - 6^2
= √144 - 36
= √108
= 10.39
area of one triangle = 1 / 2 bh
b = base
h = height
area of one triangle = 1 / 2 × 6 × 10.39
area of one triangle = 31.17 unit^2
area of 2 triangle = 2(31.17) = 62.34 unit^2
area of non shaded sector.
area of the sector = 120 / 360 × 3.14 × 6^2
area of the sector = 37.68 units^2
area of the shaded portion = 62.34 - 37.68
= 24.66 unit^2
the height of a tower is 15m more than tiwce the height of a building find the height of the building if tower is 255m tall
Answers
Answer: 120m
Step-by-step explanation:
Let the height of the building be represented by x.
Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:
= (2 × x) + 15
= 2x + 15
Since the tower is 255m tall, therefore,
2x + 15 = 255
2x = 255 - 15
2x = 240
x = 240/2
x = 120
The height of the building is 120m
6. Pleassss helppp!
VALERIE
Select all of the expressions that are equivalent to 4(2x + y + 2y).
8x+12y
6x + 7y
8x+y+2y
8x+4y+8y
31 tds airastorg/student/V996/Pages/TestShellaspx
Answers
Answer:
Step-by-step explanation:
First expand the expression so you know the coefficients of x and y.
4(2x+y+2y) = 4(2x+3y) = 8x+12y
8x+12y = 8x+12y
6x+7y ≠ 6x+12y
8x+y+2y = 8x + 3y ≠ 8x+12y
8x+4y+8y = 8x+12y = 8x+12y
The equivalent expression is 8x + 4y + 8y.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
4(2x + y + 2y)
This can be simplified as,
8x + 4y + 8y
Thus,
The equivalent expression is 8x + 4y + 8y.
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The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
Answers
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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Which is the best first step when solving the following system of equations?
x+y=3
4x-y=7
O Multiply the first equation by 4.
Add the first equation to the second equation.
Multiply the second equation by -1.
Subtract the second equation from the first equation.
Answers
The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.
According to the question,
We have the following system of equations:
x+y = 3 .....(1)
4x-y = 7 ....(2)
Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.
We can solve these equations by adding as follows:
x-y+4x+y = 3+7
5x = 10
x = 10/5
x = 2
Now, we can put the value of x in equation 1 to find the value of y:
2+y = 3
y = 3-2
y = 1
Hence, the correct option is B.
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Is {(4,2),(4,-2),(9,3),(9,-3)} a function
Answers
Answer:
no
Step-by-step explanation:
If any x-value is repeated, the relation is not a function. Both x=4 and x=9 are repeated values, so this relation is not a function.
List multiples of 6 between 20 and 50.
Answers
Answer:
6,12,18,24,30,36,42,48,54,69
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
Answers
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Answers
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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