Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
x < –2.5
x > 2.5
(–2.5, ∞)
(–∞, 2.5)
Answers
The solution set of the inequality is B) x > -2.5.
What is inequality?
The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().
Here the given inequality is ,
=> 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)
Now simplifying them then
=> 15.3+11.22x > -14.25-10.2x-24
=> 15.3+11.22x > -38.25 - 10.2x
=> 11.22x+10.2x > -38.25-15.3
=> 21.42x > -53.55
=> x> -2.5
Hence the solution set of the inequality is B) x > -2.5.
To learn more about inequality refer the below link
https://brainly.com/question/25275758
#SPJ1
Related Questions
the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
Answers
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
To know more about proportion and ratio on brainly :
brainly.com/question/26974513
#SPJ4
The semester ratio of quizzes to test is 6:1. If there are 77 grades taken during the semester, how many are tests
Answers
There are 11 tests taken during the semester ratio.
If the ratio of quizzes to tests is 6:1, then the total number of parts in the ratio is 6+1 = 7.
Let x be the number of parts that represent quizzes, and y be the number of parts that represent tests. Then we have:
x + y = 7 (because there are 7 total parts in the ratio)
x/y = 6/1 (because the ratio of quizzes to tests is 6:1)
Simplifying the second equation, we get:
x = 6y
Substituting this into the first equation, we get:
6y + y = 7
7y = 7
y = 1
So the number of parts that represent tests is 1, and the number of parts that represent quizzes is 6. Therefore, if there are 77 grades taken during the semester, then there is 1/7 of the grades taken for each part of the ratio.
The number of grades for tests is:
1/7 × 77 = 11
for such more question on semester ratio.
https://brainly.com/question/23431895
#SPJ11
The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon
Answers
Answer:
the weight of that object on earth is 90N
then on moon it will be 90/6 = 15N
What is the equation of the line shown in this graph
Answers
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1
write an equation in slope intercept form of the line that passes through (0,2) (8,8)
Answers
Step-by-step explanation:
Hey, there!!
You can get your answer simply, just remember the two point formula,
Given, the points are (0,2),(8,8).
We have, Formula for two points is,
\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) \)
Put all values here,
\((y - 2) = \frac{8 - 2}{8 - 0} (x - 0)\)
\((y - 2) = \frac{6}{8} (x -0)\)
\((y - 2) = \frac{3}{4} (x - 0)\)
multiply (y-4) by 4 and (x-0) by 3.
\((4y - 8) = 3x\)
Bringing 4y and -8 on same side of 3x.
\(0 = 3x - 4y + 8\)
\(or \: 3x - 4y + 8 = 0\)
Therefore, 3x-4y+8=0..... is the required equation.
Hope it helps..
What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
Answers
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
GIVING BRAINIEST IF CORRECT!!!!!
Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards
Answers
4 1/4 - 3= 1 1/4
ANSWER:
B. 1 1/4 yards
The shipping container is a
rectangular prism. Write a polynomial that represents
the volume of the container.
Answers
Answer:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Step-by-step explanation:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
If - x < -6, then which of the following must be true?
Answers
Answer:
what are the choices?
Step-by-step explanation:
find the area of the following figure. the triangular ends are congruent.
Answers
The area of the figure which consists of two congruent triangles and a rectangle is calculated as: 52 cm².
How to Find the Area of a Composite Figure?In the diagram given above, we see a composite figure consisting of two triangles that are congruent, and a rectangle, therefore:
Area of the figure = area of the two triangles + area of rectangle.
The Area of the two triangles:
base = 8 cm²
height = 4.5 cm²
Area of the two triangles = 2(1/2 * base * height) = base * height
Area = 8 * 4.5 = 36 cm²
Area of rectangle = length * width = 4 * 4
= 16 cm²
Total area = 36 + 16 = 52 cm²
Learn more about area of figure on:
https://brainly.com/question/30721292
#SPJ1
A right cubic prism has edges of 2 1/2 inches. How
many cubes with side lengths of inches would
be needed to fill the prism?
A. 125 cubes
B. 37.5 cubes
C. 18.75 cubes
D. 15.625 cubes
Answers
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B В
C
^
D
E
F
O A. Triangle A
B. Triangle B
O C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
Answers
Answer: Triangle B
Step-by-step explanation: Congruent just means which shape matches the others, like as you see D and F are congruent as well as A, C, and E.
) Shamaya asks Jayven, who is an electrician, to fix the faulty wiring in her house. Jayven fixes the
problem, charging Shamaya $500. If his hourly rate is $50/hour and he used $300 in supplies,
how long did he work for?
Answers
Step-by-step explanation:
he worked for 4 hours
50x4=200
300+200=500
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.
Answers
Answer:
Length = 30
Width = 5
Step-by-step explanation:
So the formula for perimeter is
P = 2L+2W
And we know that:
L = 6W
So then we put in all the information that we do know
70 = 2(6W)+2W
And pop that into a calculator and you get W=5
So now we put that information into L = 6W to get:
L = 6×5
L = 30
I need help with these problems! What are the answers for these?
Answers
Answer:
1a: 72
1b: 432
2a: 680
2b: 35,360
3: 19.50
4a: 6,000
4b: 1,500
5: 784
29 Transformations of linear functions C8G
Find g(x), where g(x) is the translation 1 unit right of f(x) = 7x + 4.
Write your answer in the form mx + b, where m and b are integers.
g(x) =
Submit
Answers
Step-by-step explanation:
please review the attachment
The position s of a point (in feet) is given as a function of time t (in seconds). HINT [See Example 1. ]
s = −13 + t − 14t²; t = 7
(a) Find the point's acceleration as a function of "t".
s''(t)= ___________ ft/sec^2
(b) Find the point's acceleration at the specified time
s''(7)=___________ft/sec^2
Answers
a) The acceleration of the point is given by the second derivative of the position function, s''(t) = -28 ft/sec^2 + 2 ft/sec^2*t.
(b) To find the acceleration of the point at t=7 seconds, we substitute t=7 into the acceleration function we found in part (a). s''(7) = -28 ft/sec^2 + 2 ft/sec^2 * 7 = -14 ft/sec^2.
Therefore, the acceleration of the point at t=7 seconds is -14 ft/sec^2. We can see that the acceleration is negative, which means that the point is decelerating.
The magnitude of the acceleration is 14 ft/sec^2, which means that the speed of the point is decreasing at a rate of 14 ft/sec every second.
To learn more about functions click here :
brainly.com/question/10416986
#SPJ11
A sweater is originally $25 and is on sale for $19. What is the percent off of the sweater?
Answers
Answer:
24%
Step-by-step explanation:
Answer:
24% off
Step-by-step explanation:
I found 25% off the sweater by doing 25 x .25 which gave me 6.25
If we subtract that from the original price, you get 18.75
We need $19, so we know the percentage has to be smaller than 25, but just barely.
Next I tried 25 x .24 which gave me 6.
25 - 6 = 19, so we know the percentage is 24%
The Bureau of Labor Statistics reported that 64.7 million women and 74.1 million men were employed. of the women, 25.8 million had management Jobs, and of the men, 24.9 million had management Jobs. An employed person is chosen at random. Write your answer as a fraction or a decimal, rounded to four decimal places
(a) What is the probability that the person is a female?
(b) What is the probability that the person has a management job?
(c) What is the probability that the person is female and has a management Job?
(d) Given that the person is female, what is the probability that she has a management job?
(e) Given that the person has a management job, what is the probability that the person is female?
Answers
(a) Probability (Female) = 0.468 (b) Probability (Management job) = 0.364
(c) Probability (Female and Management job) = 0.186
(d) Probability (Management job|Female) = 0.186
(e) Probability (Female|Management job) = 0.511
(a) What is the probability that the person is a female?
Total number of employed people = 64.7 million + 74.1 million = 138.8 million
Number of female employed people = 64.7 million
The probability that a randomly chosen employed person is female = 64.7 / 138.8 = 0.468
(b) What is the probability that the person has a management job?
Total number of employed people with management jobs = 25.8 million + 24.9 million = 50.7 million
The probability that a randomly chosen employed person has a management job = 50.7 / 138.8 = 0.364
(c) What is the probability that the person is female and has a management Job?
Number of female employed people with management jobs = 25.8 million
The probability that a randomly chosen employed person is female and has a management job = 25.8 / 138.8 = 0.186
(d) Given that the person is female, what is the probability that she has a management job?
Number of female employed people with management jobs = 25.8 million
The probability that a randomly chosen employed person is female and has a management job = 25.8 / 138.8 = 0.186
(e) Given that the person has a management job, what is the probability that the person is female?
The probability that a randomly chosen employed person with a management job is female = 25.8 / 50.7 = 0.511
Read more about probability at:
brainly.com/question/11234923
#SPJ4
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
What is the approximate volume of the tent
Answers
Answer:
below
Step-by-step explanation:
volume of cone =.3*π*r^2h= .3*22*6*6*6/(7)=203.5ft^3
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
Answers
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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 equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:
26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61
What is the range of the set of data?
Answers
Answer:
35
Step-by-step explanation:
subtract highest and lowest numbers
Help pleaseeeee I’m struggling bad
Answers
2)m= -3/4
3)m= -2/1
4) undefined
5)m= 4
6)m= 0
7)m= 1
8)m=-2
9) undefined
Suppose a coin is flipped five times and turns up heads each time. What is the probability that the next coin clip will yield a head
Answers
The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.
The Importance of Understanding Probability in Everyday LifeProbability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.
In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.
Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.
Learn more about probability:
https://brainly.com/question/13604758
#SPJ4
what is the length of the missing leg?
Answers
Answer:
6 meters
Step-by-step explanation:
because 15-9=6 meters
Answer:
12
Step-by-step explanation:
Using the Pythagorean theorem:
\(9^2+a^2=15^2\) ->
\(81+a^2=225 \implies\)
\(a^2=144\implies\)
\(a=12\)
How are lines KL and MN related?
The lines intersect at point K.
The lines are parallel.
The lines are perpendicular.
The lines do not have slopes
Answers
Lines KL and MN are related is by the lines being perpendicular. Therefore, the correct option is C.
What are perpendicular lines?Perpendicular lines are lines that are formed when two lines meet each other at the right angle or 90 degrees. This property of lines is said to be perpendicularity.
If a line passes through two points, then the slope of the line is
\(\text{m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
\(\text{m}_1=\dfrac{2-2}{6-(-8)} =0\)
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
\(\text{m}_2=\dfrac{-6-8}{-4-(-4)} =\dfrac{1}{0}\)
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other. Therefore, the lines KL and MN are perpendicular to each other.
To know more information on perpendicular lines, visit:
https://brainly.com/question/32878772
NEED HELP ASAP ALGEBRA 2
Answers
Answer:
3√6
Step-by-step explanation:
\( {a}^{2} = {b}^{2} + {c}^{2} \)
\( = {1}^{2} + {( \sqrt{53} )}^{2} \)
\( = 1 + 53\)
\( {a}^{2} = 54\)
\(a = \sqrt{54} = 3 \sqrt{6} \)
There are 9 red and blue marbles, among which x are red. How many are red? Denote blue marbles as y.
Answers
3. Victor's weight was 60 kg. He lost 1/10 of his weight in 3 months. How
much weight did he lost?
Answers
Hence, Victor`s lost \(6\) kg weight.
What is the division?
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Here given that,
Victor's weight was \(60\) kg. He lost \(\frac{1}{10}\) of his weight in \(3\) months
i.e.,
\(\frac{1}{10}*60=6kg\)
Hence, Victor`s lost \(6\) kg weight.
To know more about the division
https://brainly.com/question/1575906
#SPJ2
A TV that usually sells for $185.47 is on sale for 20% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answers
Answer:
155.79
Step-by-step explanation:
(0.8*185.47)+ (0.05*0.8*185.47)
=155.79