To solve the inequality, multiply both sides by -7 and flip the inequality direction. The solution is n ≤ -21 or (∞, -21]
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
-n/7 ≥ 3
Multiply both sides by -7. Since we multiply it by a negative number, flip the inequality.
-n/7 . (-7) ≤ 3 . (-7)
n ≤ -21
Using the interval notation, the solution is (∞, -21]
Learn more about solving inequalities here:
https://brainly.com/question/24372553
#SPJ4
(-6) over 5 x (-6) over 8
Answer:
(-6 ÷ 5) × (-6 ÷ 8) = 9/10 or 0.9
Step-by-step explanation:
Which inequality is equivalent to -10 (x - 1) <13?
The inequality that is equivalent to the given inequality is -10x + 10 < 13
From the question, we are to determine the inequality that is equivalent to the given inequality
The given inequality is -10(x - 1) < 13
To determine the inequality that is equivalent to this inequality, we will solve the given inequality
Solving the inequality
-10(x - 1) < 13
Apply the distributive property
-10x + 10 < 13
Subtract 10 from both sides of the inequality
-10x + 10 - 10 < 13 - 10
-10x < 3
Divide both sides by -10 and reverse the sign
x > -3/10
From the steps of solving the inequality, the inequality that is equivalent to the given inequality is -10x + 10 < 13
Hence, the inequality that is equivalent to the given inequality is -10x + 10 < 13
Learn more on Solving inequalities here: https://brainly.com/question/246993
#SPJ1
Answer:
C. -10x + 10 < 13
Find the measures of two complementary angles if the measure of the larger angle is 2 less than 3 times the measure of the smaller angle. The measure of the smaller angle is
°,
and the measure of the larger angle is
°
The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
What are complementary angles?
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So we can say that two angles are complementary if they sum up to 90 degrees.
From the given statement;
let the larger angle = ylet the smaller angle = xy = 3x - 2 -------(1)
y + x = 90 --------(2) (since they are complementary)
substitute for y in equation (2)
3x - 2 + x = 90
4x = 92
x = 92/4
x = 23 ⁰
y = 3(23) - 2
y = 67⁰
Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
Learn more about complementary angles here: https://brainly.com/question/16281260
#SPJ1
Rebecca's boss pays her time and a half for overtime work at the comic book store. If her regular wage is $8.50, what is Rebecca paid for overtime work?
The amount that Rebecca will be paid for overtime work is $12.75.
How to calculate the value?From the information, Rebecca's boss pays her time and a half for overtime work at the comic book store. Her regular wage is $8.50.
The amount for overtime will be:
= (1.5 × $8.50)
= $12.75
Therefore, the amount that Rebecca will be paid for overtime work is $12.75.
Learn more about pay on:
brainly.com/question/15530787
#SPJ1
Could you help no time to wast
Answer:
Answers will be. ............ 36+38
Step-by-step explanation:
Try it on calculator
4⁄6 + 2⁄4 + 3⁄5 = answer
Answer: 53/30
Step-by-step explanation:
4/6 + 2/4 + 3/5 =
2/3 + 1/2 + 3/5 = ==> Simplify Denominators
30/30 * (2/3 + 1/2 + 3/5)= ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators
(2*30/3 + 1*30/2 + 3*30/5)/30=
(60/3 + 30/2 + 90/5)/30=
(20 + 15 + 18)/30=
(35 + 18)/30=53/30
One number is 6 less than five times another. Their difference is 22. Find the numbers.
The numbers in the equations are -4 and -26
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to find the numbers?Let the numbers be x and y
A system of linear equations is a collection of at least two linear equations. So, we have the following linear equations
y = 5x - 6
x - y = 22
Substitute y = 5x - 6 in x - y = 22
x -5x + 6 = 22
Evaluate the like terms
-4x = 16
Divide both sides by -4
x = -4
Substitute x = -4 in y = 5x - 6
y = 5 * -4 - 6
Evaluate
y = -26
Hence, the numbers are -4 and -26
Read more about equations at:
https://brainly.com/question/13763238
#SPJ1
what is the final step to be performed in the mathematical expression, (σx)2? group of answer choices square the sum of the scores square each score add the squared scores add the scores
The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
To learn more about the, Sum of Squares visit:
https://brainly.com/question/19426263
#SPJ4
The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
To learn more about the, Sum of Squares visit:
brainly.com/question/19426263
#SPJ4
Suppose 115.2 million households have at least one TV; if 82% have basic cable TV, how many households have basic
cable TV?
If 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is
94464000.
Given,
The total number of household have at least one TV = 115.2 millions
The percentage of household have basic cable TV = 82%
Then, the number of household have basic cable TV
=115200000×[tex]\frac{82}{100}[/tex]
=94464000
Hence, if 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is 94464000.
Learn more about percentage here
brainly.com/question/28269290
#SPJ1
if you have a table of values like those above and you can find the value for f(n), how would you go about finding the value of f(n-1)? How do f(n) and f(n-1) compare to each other?
Answer:
spam question
Step-by-step explanation:
Answer:
If you have a table of values like those above and you can find the value for f(n) . you go about finding the value of f (n-1)
Step-by-step explanation:
If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
Which is equivalent to 3^√8*?
Answer:
C (8 to the x/3 power)
If Alice wants to have R12 000 saved in 4 years' time at 12% simple interest,
how much will she need to invest now?
Using simple interest, Alice need to invest 25000 now in order to get 12 000 saved in 4 years' time at 12% simple interest.
What is simple interest?The daily interest rate, the principle, and the number of days between payments are multiplied to determine simple interest. Consumers who pay their loans off on time or ahead of schedule each month benefit from simple interest. Simple interest loans are frequently used for auto loans and short-term personal loans.
Given,
simple interest = 12000
rate of interest = 12%
time = 4 years
Simple interest = P × R × T / 100
12000 = P × 12 × 4 / 100
P = 25000
To learn more about simple interest from given link
https://brainly.com/question/25793394
#SPJ9
is sally has 3 apples and max has 3 apples, how much is all together
Answer:
6
Step-by-step explanation:
You count with your fingers. 1,2,3,4,5,6! Congrats you got your answer.
if a bacteria population starts with 100 bacteria and doubles every four hours, then the number of bacteria after t hours is n = f(t) = 100 · 2t⁄4. (a) find the inverse of this function.
The inverse of the given function,f(t) = 100 . 2^(t/4) is 4 * log2(x/100).
What is the inverse of a function?
An inverse of a function f(x), is defined as another function that undoes the operations performed on the function. It is denoted by f^(-1).
Calculation of the inverse of a function
We are given a function,
f(t) = 100 . 2^(t/4)
Let us assume that f^(-1) represents the inverse of a function
Replacing f(t) with y, we get,
y = 100 . 2^(t/4)
Now, replace further t with y and y with x
x = 100 . 2^(y/4)
Rearranging, we have,
2^(y/4) = x / 100
Taking log both sides, we get,
(y/4) log 2 = log (x/100)
y/4 = log2(x/100)
y = 4 * log2(x/100)
Further, replace x with t and y with f^(-1), i.e.
f^(-1) = 4 * log2(t/100)
Hence, the inverse of the given function, f(t) = 100 . 2^(t/4) is 4 * log2(x/100).
To learn more about the inverse of a function, visit here:
https://brainly.com/question/11735394
#SPJ4
What value of x cannot be evaluated in the function r(x)?
Carlos jogged
5
3
4
laps around the school track in 8 minutes. What was his average speed in laps per minute?
Carlos took 8 minutes to complete 5 3/4 laps all around school track.
What would be Average speed?The total distance travelled divided by the time interval yields the average speed. For example, someone who drives 20 miles north and then 20 miles south in 40 minutes has an average speed of 40 miles divided by 40 minutes, and 1 mile per minute (60 mph)Now, to answer the question
5 3/4 laps = 23/4 laps
= (23/4)/8
Simplifying the equation;
=23/4 × 1/8
=23/32
Therefore, Carlos will take 23/32 laps per minute to running on school track.
To learn more about Average Speed, here
brainly.com/question/21896060
#SPJ9
The correct question is-
carlos jogged 5 3/4 laps around the school track in 8 minutes. what was his average speed in laps per minute?
which term best represents the intersection of two pages of an open book? line startfragment, line, angle startfragment, angle, point startfragment, point, plane
The term that best represents the intersection of two pages of an open book is point.
What is intersection?A third item made up of everything that is simultaneously contained in all of the other things is called an intersection of two or more objects in mathematics. In Euclidean geometry, for instance, the intersection of two lines in a plane that are not parallel is where they come together. More broadly, the set of elements that are a part of all of the sets is what is meant by the intersection of sets in set theory. The items being considered do not need to be in a shared space, unlike the Euclidean concept.
A point is the most frequent shape for an intersection in plane geometry, while there are other shapes that can be used as well. An intersection is an item of lesser dimension that is incident to each in incidence geometry, which is typically applied to flats.
To learn more about intersection ,visit:
https://brainly.com/question/12089275
#SPJ4
Find the y-intercept of y=ax^2+bx+c
Answer:
c would be the y intercept,
Step-by-step explanation:
what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of triangle par on the grid is the vertex p is on ordered pair 7 and 6.
What is vertex?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
To learn more about vertex, visit:
https://brainly.com/question/26258141
#SPJ4
a host served two pies, one apple and one cherry. dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie. in all, what fraction of the total pies remained? a 23/20 b 3/4 c 23/40 d 3/5
The fraction of the total pies remained is option (A) 23/20 is the correct answer.
In this question,
A host served two pies, one apple and one cherry.
Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.
Apple pie = 25%
∴ Remaining = 100% - 25%
⇒ 75%
⇒ Fraction of apple pie remained is 3/4
Cherry pie = 60%
∴ Remaining = 100% - 60%
⇒ 40%
⇒ Fraction of cherry pie remained is 2/5
Thus fraction of the total pies remained is
⇒ 3/4 + 2/5
⇒ (15+8) / 20
⇒ 23/20
Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.
Learn more about fraction remained here
https://brainly.com/question/14671411
#SPJ4
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 212 miles how many feet is that
Based on the given parameters, there are 1119360 feet in 212 miles
How to determine the number of feet?The given parameters are
12 inches = 1 foot
5,280 feet = 1 mile.
Multiply both sides of 5,280 feet = 1 mile by 212
So, we have
212 * 5,280 feet = 1 mile * 212
Evaluate the product
1119360 feet = 212 miles
The above means that there are 1119360 feet is 212 miles
Read more about metric units at:
https://brainly.com/question/2004114
#SPJ1
Please help me with mathh
Answer:
16
Step-by-step explanation:
A____(6)_____B____(10)_____C
6+10=16
Hope this helps!
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The numbers given in scientific notation will be arranged from least to greatest as: 7.6×10⁻²⁰, 5.5×10⁻¹¹, 2.4×10², 8.9×10², 9.2×10⁴, 7.6×10²⁰.
Scientific notation of numbers may be defined as the way of representation of bigger numbers into powers of 10. This helps in reducing space as well as it helps in conveniently solving the problem. For example, scientific notation of 92000 may be written as 9.2×10⁴.
Here in the number 7.6×10⁻²⁰ the power of 10 is maximum but with a negative value so it is the least number. Then comes the number 5.5×10⁻¹¹ as its power are also negative but greater than the previous number. Similarly using the above logic, the other numbers will be placed, and the greatest number would be 7.6×10²⁰ as it has the maximum power of 10 that too with a positive sign.
Learn more about Scientific Notation at:
brainly.com/question/6459088
#SPJ1
I need help pls Evaluate.
2^5/2^3
Answer:
I think it’s 4.
The grid above shows the graph of the parent function f(x)= land a translated functions graph.
Write the equation for the translated graph.
The blue graph is a translation of 2 units to the left and 1 unit up of the parent function, thus, the equation is:
g(x) = |x + 2| + 1
How to find the translated function?We know that the red graph is an absolute value function, so we have:
f(x) = |x|
And we want to find the equation of the blue absolute value function, which is a translation of the above one.
Notice that the vertex of the blue one is at (-2, 1), so we have a translation of 2 units to the left and one unit up, it is just written as:
y = |x + 2| + 1
We conclude that the translated function is:
g(x) = |x + 2| + 1
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1
Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
fl. oz.
What is the value of this expression?
40÷[24−4×(2+3)]
Answer:
10
Step-by-step explanation:
hope it helps
Answer:
10
Step-by-step explanation:
ya its right
the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
Based on the 1.5 × IQR rule for outliers, there is no evidence to support the student's claim because there is only one outlier at 58 minutes.
What is an outlier?An outlier is also referred to as anomalous data and it can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.
What is an interquartile range?IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):
IQR = Q₃ - Q₁
Based on the given data set, the following interquartile ranges was calculated by using Excel:
Q₃ = 31.5
Q₁ = 20.5
Now, the interquartile range (IQR) is given by:
IQR = Q₃ - Q₁
IQR = 31.5 - 20.5
IQR = 11
Based on the 1.5 × IQR rule for outliers, we have:
1.5 × IQR = 1.5 × 11 = 16.5
Therefore, our fences will be 16.5 points below Q₁ and 16.5 points above Q₃:
Lower fence = 20.5 - 16.5 = 4.5
Upper fence = 4.5 + 31.5 = 36.
In conclusion, we can reasonably infer and logically deduce that there is no evidence to support the student's claim because there is only one outlier at 58 minutes.
Read more on outliers here: https://brainly.com/question/28522080
#SPJ4
Complete Question:
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 × IQR rule for outliers, is there evidence to support the student's claim?
Find the slope and reduce.
P=(-2, 3) Q=(8, 3)
A
Slope = [ ?]
Hi!
Use the Slope Formula:
[tex]\begin{gathered}\\\bullet\implies\boldsymbol{\displaystyle\frac{y_2-y_1}{x_2-x_1}} \\\\\boldsymbol{Setting\:the\:Values}\\\bullet \boldsymbol{y_2=3}\\\bullet\boldsymbol{x_2=8}\\\bullet\boldsymbol{y_1=3}\\\bullet\boldsymbol{x_1=-2}\\\\\boldsymbol{Solving\:for\:the\:slope}\\\boldsymbol{\displaystyle\frac{3-3}{8-(-2)}}\\\boldsymbol{\dfrac{0}{8+2}}\\\boldsymbol{Slope\longrightarrow0}\end{gathered}[/tex]
I hope I helped! ^^