Solve one eighth times quantity x plus 32 end quantity equals negative 7.
x = 56
x = 7
x = −88
x = −24
Answers
The solution of the linear equation is x = -88, so the correct option is the third one.
How to solve the given equation?
First, we need to write the equation.
We have the statement:
"one eighth times x plus 32 end quantity equals negative 7"
That can be written as the linear equation:
(1/8)*(x + 32) = -7
First, we can multiply both sides by 8 to get
x + 32 = --7*8
x + 32 = -56
Remember the addition property of the equality, it means that we can add/subtract the same number in both sides of the equation.
x + 32 = -56
To solve that, we want to isolate x in one of the sides of the equation, so we can add (-32) in both sides so we will get:
x + 32 - 32 = -56
x = -56 - 32
x = -56 - 32 = -88
So the correct option is the third one.
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Related Questions
2 more than 5 times a number is greater than or equal to 3
Answers
Answer:
x >= 1/5
Step-by-step explanation:
2 + 5x >= 3
5x >= 1
x >= 1/5
Your credit card limit is $5,000, and your current balance is $4,500. Your credit score will increase by 10 points for every $250 decrease in your balance. At the end of the year you have paid down your balance to $2,500. By how many points has your credit score increased?
a) 10
b) 25
c) 45
d) 80
Answers
80
Step-by-step explanation:
4500-2500 is 2000 dollars reduction, or money paid off.
For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.
10x8 = 80. Your credit score has increased by 80 points.
Answer: 80
Step-by-step explanation:
4500-2500 is 2000 dollars reduction, or money paid off.
For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.
10x8 = 80. Your credit score has increased by 80 points.
What is the slope of the equation Y = 5/ 4x - 7/4 ?
Answers
x in (-oo:+oo)
y = (5/4)*x-(7/4) // - (5/4)*x-(7/4)
y-((5/4)*x)+7/4 = 0
(-5/4)*x+y+7/4 = 0
y-5/4*x+7/4 = 0 // - y+7/4
-5/4*x = -(y+7/4) // : -5/4
x = (-(y+7/4))/(-5/4)
x = 4/5*(y+7/4)
x = 4/5*(y+7/4)
Pls help me on both step by step preferably
Answers
(2) The value of x in the equation (x-16)²= 9 is 19.
(4) The equation of the circle of radius 5 is x²+y²+6x-2y = 15.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
(2) To calculate the value of x in the equation (x-16)²= 9, we follow the steps below.
Step1: Find the square root of both sides of the equation
√(x-16)²= √9(x-16) = 3Stop1: Collect like terms
x = 3+16x = 19(4) To calculate the equation of the circle, we use the formula below
Formula:
(x-a)²+(y-b)² = r²................... Equation 1Where:
r = Radius of the circle = 5a = -3b = 1Substitute these values into equation 1
(x+3)²+(y-1)² = 5²x²+6x+9+y²-2y+1 = 25x²+y²+6x-2y+10 = 25x²+y²+6x-2y = 25-10x²+y²+6x-2y = 15Learn about equation here: https://brainly.com/question/17145398
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Find the m\angle EFGm∠EFG.
Answers
Explaination: hope it’s correct because I found good sources for the answer :DD
A ramp has an angle of inclination of 20 degrees. it has a vertical height of 1.8 m. what is the length, l metres, of the ramp?
Answers
Answer:
x = 5.26 m
Step-by-step explanation:
Given that,
The angle of inclination = 20°
The vertical height of the ramp, h = 1.8 m
We need to find the length of the ramp. Let it is x.
We can find it using trigonometry. So,
\(\sin\theta=\dfrac{P}{H}\)
We have,
P = 1.8 m, H = x
\(\sin20=\dfrac{1.8}{x}\\\\x=\dfrac{1.8}{\sin20}\\\\x=5.26\ m\)
So, the length of the ramp is 5.26 m.
Practical difficulties such as undercoverage and _____ in a sample survey cause additional errors.
Answers
Practical difficulties such as undercoverage and nonresponse in a sample survey cause additional errors. These errors can affect the accuracy and representativeness of the survey results.
Undercoverage refers to when certain groups or individuals in the target population are not adequately represented in the sample. This can lead to biased estimates and inaccurate conclusions. Nonresponse occurs when selected participants choose not to respond to the survey, which can introduce bias and decrease the precision of the results.
To minimize these errors, researchers can use appropriate sampling techniques, employ effective survey design, and implement strategies to increase response rates. It is important to address these practical difficulties in order to obtain reliable and valid data in a sample survey.
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it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Answers
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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Celia put hot water and cold water into a bathtub. For the first two minutes she added only hot water to the tub. After two minutes, she added both hot and cold water to the bathtub.
. The hot water flows at the rate of 2.2 gallons per minute
. The cold water flows at the rate of 3.4 gallons per minute.
. Let t represent the number of minutes Celia put cold water into the bathtub
Which inequality can be used to determine the number of minutes after which the amount of cold water Celia put into the bathtub is greater than the amount of hot water she put into the bathtub?
3.4t < 2.2(t+2)
3.4t - 2) > 2.2
3.4t > 2.2(t+2)
3.4 (t-2) < 2.2t
Answers
Answer:
I need help with his question too but I don’t know the answer
Step-by-step explanation:
Does anyone know this?
Answers
Answer:
B
Step-by-step explanation:
(2*5) - 2 = 8
May Nilbin Be With You
It can be shown that the algebraic multiplicity of an eigen- value is always greater than or equal to the dimension of the eigenspace corresponding to Find in the matrix below such that the eigenspace for is two-dimensional:
Answers
To find the value of λ in the given matrix such that the eigenspace for λ is two-dimensional, we first need to determine the eigenvalues of the matrix.
A more detailed explanation of the answer.
The algebraic multiplicity of an eigenvalue defined as the number of times it appears as a root of the characteristic equation. On the other hand the dimension of the eigenspace corresponds to the geometric multiplicity and that is the number of linearly independent eigenvectors associated with that eigenvalue. To ensure a two-dimensional eigenspace, the algebraic multiplicity of the desired eigenvalue should be at least 2.
Please provide the matrix in question, and I will help you find the value of λ that satisfies these conditions.
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A variable weight has been defined as an integer. Create a new variable p2weight containing the address of weight. C language.
Answers
The pointer variable p2weight to access and manipulate the value of weight indirectly.
In C language, we can create a new pointer variable p2weight of type int* to store the address of an integer variable weight using the "&" operator, as follows:
int weight; // integer variable
int* p2weight = &weight; // pointer variable storing
Here, the "&" operator is used to obtain the address of the variable weight, and then the pointer variable p2weight is initialized to store this address. Now, we can use the pointer variable p2weight to access and manipulate the value of weight indirectly.
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Laura is planning to buy five 5-1b bags of sugar, four 5-1b bags of flour, five 1-gal cartons of milk, and four 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. (5-16 bag) del ten Milk Eggs Sugar Flour (1-gal (1-dozen (5-Ib bag) (5-lb bag) carton) carton) Supermarket I $3.15 $3.79 $2.99 $3.49 Supermarket II $2.99 $2.89 $2.79 $3.29 Supermarket III $3.74 $2.98 $2.89 $2.99 (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. A = (b) Write a 4x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket. 1 (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
Answers
What is a Matrix?
A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.
A)
\(\left[\begin{array}{cccc}$3.15& $3.79& $2.99&$3.49 \\$2.99& $2.89& $2.79 &$3.29\\ $3.74 &$2.98& $2.89& $2.99\end{array}\right]_{3 x 4}\)
B)
\(\left[\begin{array}{c}5*5\\4*5\\5*1\\4*5\end{array}\right]_{4x1}\)
C)
A x B = C
\(\left[\begin{array}{cccc}$3.15& $3.79& $2.99&$3.49 \\$2.99& $2.89& $2.79 &$3.29\\ $3.74 &$2.98& $2.89& $2.99\end{array}\right]_{3 x 4}\) X \(\left[\begin{array}{c}5*5\\4*5\\5*1\\4*5\end{array}\right]_{4x1}\)
=
\(\left[\begin{array}{c}183.46\\159.66\\179.51\end{array}\right]_{3x1}\)
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Ceiling Height: Suppose the ceiling of a home is 3.06 meters above the floor. Express the height of the ceiling in centimeters.The ceiling is ? centimeters tall.
Answers
One meter is equal to 100 centimeters.
Now, we need to know 3.06 meters in centimeters:
Use the rule of three to find this value
1meter-------------------- 100cm
3.06------------------------- x cm
Where x is = (3.06*100)/1
Then x=306
The ceiling is 306 centimeters tall.
What is the equation in point-slope form of a line that passes through the point (6,5) and has a slope of 1? Convert to slope-intercept
Answers
Answer:
Point-slope: y-5=x-6
Slope intercept: y=x-1
Step-by-step explanation:
y-y1=m(x-x1) Point slope form
y-5=1(x-6)
y-5=x-6
y=x-1
Prove that ΔABC ≅ ΔDEC
Then find the values of x and y.
Answers
Prove That ΔABC ≅ ΔDEC
ΔABC ≅ ΔDEC because
DC = AC (1)
CE = CB (2)
Angle ACB = angle DCE(3)
So, both triangle are congruent according to SAS (Side, angle, side).
What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=|x|:
a) Stretch vertically by a factor of 2;
b) Compress horizontally by a factor of 2
Answers
if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x| and a horizontal compression by a factor of 2, the resulting function will be 1/2|x|
Transformation of functionsTransformation is a technique used to change the position of an image on an xy-plane.
If the function f(x)is vertically stretched by "a" units, the resulting function will be f(x) = a|x|.
Hence if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x|
For a horizontal compression by a factor of 2, the resulting function will be 1/2|x|
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Find the output, y, when the input, x, is -9
Answers
Answer:
The output of y = 1
Step-by-step explanation:
Which point would be a solution to the system of linear inequalities shown below?
y>-4x+6 Y>1/3x -7
(9,-7)
(-12,-2)
(12, 1)
(-12,-7)
Answers
The point (9, -7) is the only solution to the system of linear inequalities given.
To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.
The system of linear inequalities is:
y > -4x + 6
y > (1/3)x - 7
Let's test each given point:
For the point (9, -7):
Substituting the values into the inequalities:
-7 > -4(9) + 6
-7 > -36 + 6
-7 > -30 (True)
-7 > (1/3)(9) - 7
-7 > 3 - 7
-7 > -4 (True)
Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.
For the point (-12, -2):
Substituting the values into the inequalities:
-2 > -4(-12) + 6
-2 > 48 + 6
-2 > 54 (False)
-2 > (1/3)(-12) - 7
-2 > -4 - 7
-2 > -11 (False)
Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.
For the point (12, 1):
Substituting the values into the inequalities:
1 > -4(12) + 6
1 > -48 + 6
1 > -42 (True)
1 > (1/3)(12) - 7
1 > 4 - 7
1 > -3 (True)
Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.
For the point (-12, -7):
Substituting the values into the inequalities:
-7 > -4(-12) + 6
-7 > 48 + 6
-7 > 54 (False)
-7 > (1/3)(-12) - 7
-7 > -4 - 7
-7 > -11 (True)
Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.
In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.
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What is the product of 5/8 and 4?
Answers
We can calculate the product of 5/8 and 4 to be 5/2 using multiplication.
What is multiplication?Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division.
The result of a multiplication operation is a product.
There are four different methods for multiplying: addition, long multiplication, grid multiplication, and drawing lines.
So, we have:
5/8 and 4
5/8 is in the form p/q which represents the fraction that must be multiplied by 4.
Now, calculate the product as follows:
5/8 * 4
5/2
Therefore, we can calculate the product of 5/8 and 4 to be 5/2 using multiplication.
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Find the area. Simplify your answer.
x+8
x+5
Answers
Answer:
9x+5
Step-by-step explanation:
Add x and 8x
Find the sum of the first 7 terms of the following geometric sequence:
3 , 1 , 1/3 , 1/9 , 1/27 , …
Hint: S = a(1-r^n)/ 1-r
Answers
Answer:
4.50
Step-by-step explanation:
The explanation is attached below.
HELP HELP HELP!!!
The total number of fans who went to watch professional football games from 2005 to 2011 can be modeled
by the function F(x) - 50x3 + 1549x2 - 2186x + 8120 and the number of profession football games played
from 1005 to 2011 can be modeled by G(x) = 25x + 812, where x is the number of years since 2005. Which
of the following expressions correctly describes the average number of fans per football game?
Answers
The total number of fans modeled by the function:
f(x) = 50x3+1549x2-2186x+8120
The number of professional football games are modeled by the function:
g(x) = 25x+812
x is the number of years since 2005
The total number of fans modeled by the function:
f(x) = 50x3+1549x2-2186x+8120
The number of professional football games are modeled by the function:
g(x) = 25x+812
x is the number of years since 2005
Division by Long division method:
50x^3+1549x^-2186x+8120 divide by (25x+812)
=2x^2-3x+10
Hence the expression for the average number of fans per football game is given by:
h(x) = 2x2-3x+10
What is the answer to 9/10x8/20? Plz I need help I forgot how to do fractions
Answers
Answer:
\(\boxed{\frac{9}{25} }\)
Step-by-step explanation:
\(9 \div 10 \times 8 \div 20\)
\(\frac{\frac{9}{10}(8) }{20}\)
\(= \frac{\frac{35}{5} }{20}\)
\(= \frac{9}{25}\)
Hope this helped you!
● Answer:
9/25
● Step-by-step explanation:
Attachment
Damian estimated that Lily would play puzzles
for 20 minutes, but she actually played for 38
minutes.
What was his percent error?
Answers
Damian's percent error for the estimate of the time that Lily would play is of 47.37%.
How to obtain the percent error?The percent error is obtained applying the proportions in the context of the problem.
A proportion is applied as the percent error is given by the difference between the estimate and the actual value, divided by the actual value, and multiplied by 100%.
The parameters for this problem are given as follows:
Estimate of 20 minutes.Actual value of 38 minutes.Hence the percent error is given as follows:
P = (38 - 20)/38 x 100%
P = 47.37%.
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Find the geometric mean of 11 and 23. Round your answer to the nearest tenth.
Answers
Answer: 15
Step-by-step explanation:
Every matrix transformation is a linear transformation.a. Trueb. false
Answers
True , Every matrix transformation is a linear transformation.
Is there a linear transformation for every matrix operation?
Despite the fact that every linear transformation is a matrix transformation, not all linear transformations are matrix transformations.
Because of this, it's possible that we'll encounter a linear transformation in which we're unable to locate a matrix to carry out the mapping.
What alteration does matrix entail?
In a two-dimensional or three-dimensional space, the transformation matrix converts one vector into another vector, which may be comprehended geometrically.
Stretching, squeezing, rotation, reflection, and orthogonal projection are some of the often utilized transformations.
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Please help me
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (4, 5), (9, −12), and (4, −12). Find the missing vertex and the area of the flag in square inches?
The missing vertex is (5, 9) with an area of 44 in2.
The missing vertex is (−12, 5) with an area of 85 in2.
The missing vertex is (9, 5) with an area of 85 in2.
The missing vertex is (−12, 9) with an area of 44 in2.
Answers
The vertex is (9,5) an area = 85 in²
Hence option C is correct.
Given vertices of rectangular flag is
A(4, 5), B(4, −12) and C(9, −12)
Let the fourth vertex be D(x, y)
Since x coordinate of A and B are same
So length AB = 17
Since it is rectangle then
length CD = 17
Therefore y = 17 - 12 = 5
Since X coordinate of C is 9 theretofore x = 9
Thus vertex D be (9,5)
So length of rectangle = 17
And breadth of rectangle = 9 - 4 = 5 from vertex A and D
Thus area of rectangle = 17 x 5 = 85 in²
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1. A baseball coach graphs some data and finds the line of
best fit. The equation for the line of best fit is
y = 0.32x - 20.51, where x is the number of times at bat and
y is the number of hits.
How many hits should he expect from a player who is at bat
175 times?
A) 35 hits
B) 49 hits
C) 609 hits
D) 62 hits
Answers
Answer:
It's answer B, 49 hits. I got it right
3
Arrange the following decimal numbers in descending
(biggest to smallest) order.
20.005, 20.7, 20.23, 21, 20.102, 20.22
Answers
Answer:
21
20.7
20.23
20.22
20.102
20.005
Step-by-step explanation:
hope this helps!