The graph of the inequality |2x - 5| ≥ 3 represents 4 ≤ x ≤ 1 which is
B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What is inequality?Inequality is a comparison between two nonequal quantities and they are of four types.
We know |2x - 5| ≥ 3 is,
2x - 5 ≥ 3.
2x ≥ 3 + 5.
2x ≥ 8.
x ≥ 4.
OR
-(2x - 5) ≥ 3.
-2x + 5 ≥ 3.
-2x ≥ - 2.
-x ≥ 1.
x ≤ 1. ( Think of moving the terms on other sides to make x positive)
So, the graph of the inequality |2x - 5| ≥ 3 is 4 ≤ x≤ 1.
learn more about inequality here :
https://brainly.com/question/20383699
#SPJ1
Lila makes a chart that has 8 tows and 4 columns. How many spaces are in her chart? Explain why Lila can use 8s facts or 4s facts to solve
Based on the fact that Lila made a chart that had 8 rows and 4 columns, the number of spaces in the chart is 32 spaces.
Lila can use 8s factors or 4 factors to solve because both 8 and 4 are factors of 32.
How to find the spaces created?The number of spaces can be found by the formula:
= Number of rows x Number of columns
= 8 x 4
= 32 spaces
Factors of 8 and 4 can be used for 32 because when a number is a factor of another number, then all the factors of the first number, are also the factors of the other number.
Find out more on factors at https://brainly.com/question/2058395
#SPJ1
The length of a rectangle is three times its width. If the perimeter is 132 inches, what is the length of the rectangle?
1. 48 inches
2. 16.5 inches
3. 49.5 inches
4. 18 inches
Please give an explanation (Do not just give an answer and take points or you will get reported)
Thank you :D
Given the perimeter, the numerical length of the rectangle is 49.5 inches.
Hence, option 3) 49.5 inches is the correct answer.
What is the length of the rectangle?The perimeter of a rectangle is expressed mathematically as;
P = 2( l + w )
Given the data in the question;
Let "x" represent the width of the rectangle.
Width w = xLength l = 3 × x = 3xPerimeter P = 132 inchesTo determine the length of the rectangle, first plug the given values into the formula above and solve for x.
P = 2( l + w )
132 = 2( 3x + x )
Apply distributive property
132 = 2(3x) + 2(x)
132 = 6x + 2x
132 = 8x
8x = 132
x = 132/8
x = 16.5
Now, the length of the rectangle will be;
Length l = 3x
Length l = 3( 16.5 )
Length l = 49.5 inches
Given the perimeter, the numerical length of the rectangle is 49.5 inches.
Hence, option 3) 49.5 inches is the correct answer.
Learn more about rectangles here: brainly.com/question/27612962
#SPJ1
8) Consider the following sets,
A = {x | x ≤ N}
B = {x-5 < x < 105, x ≤ R}
C = {x|x is a rational number, 10 < x < 80}
Find the cardinality of the set (A − C) n B.
The cardinality of the set (A − C) n B is 35 .
Cardinality of a set is defined as the number of elements in the mathematical set. It can be finite or infinite. For example, the set A = {1, 2, 3, 4, 5, 6} has cardinality 6. Because the set A has 6 elements. Set cardinality is also known as set size. A real number can be defined as a combination of rational and irrational numbers. They can be both positive and negative, denoted by the symbol "R". Natural number all count numbers starting at 1. N = {1 ,2 , 3 ,4, .....}We have given three sets A = {x | x ≤ N} where N is a natural number .
Then , set A will get values [tex]A= \{1,2,3,4,5......\}[/tex]
B = {x-5 < x < 105, x ≤ R} where R is a real number whose values is in domain of (- ∞ ,∞)
Then , set B will get values [tex]B=(-5,105)[/tex]
C = {x|x is a rational number, 10 < x < 80} rational number which can expressed in [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex] .
Then , set C will get values [tex]=(10,80][/tex]
According to the question
(A − C) n B [tex]=(\{1,2,3,4,5 ........\}-(10,80] \sqcap (-5,105)[/tex]
[tex]=\{1,2,3,4,5,6,7,8,9,10,81,82,83 .......\} \sqcap (-5,105)\\[/tex]
={1,2,3,4,5,6,7,8,9,10,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103, 104 ,105}
Learn more about set here :
https://brainly.com/question/2166579
#SPJ9
The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer
The length of rectangle is 25 feet and the width of rectangle is 135 feet.
How can the perimeter be calculated?The perimeter of a rectangle can be calculated by making use of the formular that will be written below which is
P = 2(l + b)
But if we are to interpret the question, then we will have
2(L + W) = 320 after the simplification
and from the above simplification , we will have
L+ W=160
But according to the question, Odd integers that follow each other with a difference of 2, hence we will have x as the odd integer, then go in a consecutive odd integers manner we will have
W = 5(x+2)
Then if we substitute, we have
[x+5x+10=160]
Then simplify we have
6x=150
x=25
Then input x into the width equation, then, width will be 135 feet.
Therefore, The length of rectangle is 25 feet and the width of rectangle is 135 feet.
Learn more about perimeter at:
https://brainly.com/question/28164243
#SPJ1
Drew dropped the thumbtack 225 times and found that it landed point up 62 times. Drew concluded that the probability the thumbtack lands points up is about what?
Based on the number of times Drew dropped the thumbtack and the number of times it landed point up, the probability that the thumbtack lands points up is 27.6%
How to find the probability?The probability that the thumbtack lands points up can be found by the formula:
= Number of times the thumbtack lands points up / Number of total times the thumbtack was dropped by Drew x 100%
Solving for the probability of a thumbtack landing points up gives:
= 62 / 225 x 100%
= 0.2755556 x 100%
= 27.6%
Find out more on probability at https://brainly.com/question/27827084
#SPJ1
The length of a rectangular photograph is 9 in more than the width. If the area is 90 in2, what are the dimensions of the photograph?
Part 1 of 2
The photograph is
Part 2 of 2
The photograph is
in wide.
in long.
The photograph is 6 inches wide and 15 inches long.
Which is equivalent to 5/−3 ?
The fraction that is equivalent to the given fraction is -5/3
From the question, we are to determine the equivalent form of the given fraction
The given fraction is 5/-3
From one of the properties of fractions, we have that
-x/y = x/-y
Thus,
We can write that 5/-3 is equivalent to -5/3 by the above property.
Hence, the fraction that is equivalent to the given fraction is -5/3
Learn more on Equivalent fractions here: https://brainly.com/question/335228
#SPJ1
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to:
300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000
If y = 87.5, what is the value for x?
The required value of x is 12.5 when y = 87.5
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
300x + 500/7y = 10,000
Now for the value of x put the value of y which is 87.5 in the given equation we get,
300x + 500/(7*87.5) = 10,000
Solving we get,
300x + 500/612.5 = 10,000
Simplifying the fraction we get,
300x + 43,750/7 = 10,000
Dividing the fraction we get
300x + 6,250 = 10,000
Subtract 6,250 from both sides
300x + 6,250 - 6,250 = 10,000 - 6,250
Solving we get,
300x = 3,750
Divide both sides by 300
x = 3,750/300
Solving we get
x = 12.5
this is the required value of x when y = 87.5
Thus, the required value of x is 12.5 when y= 87.5
To learn more about equations :
https://brainly.com/question/13482978
#SPJ1
The correct question is attached.
Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips. If there are a total of 204 flowers in indiras garden, how many of each flower does she have ?
Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.
Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.
let the number of tulips be = x
the number of daffodils be = y
the number of hyacinths be = z
hence according to the question,
tulips are (x) = 1/2 (y) = y/2
hyacinths are (z) = 3(x) = 3x
therefore, total flowers = 204
tulips ₊ daffodils ₊ hyacinths = 204
y/2 ₊ y ₊ 3x = 204
substitute x value in the above equation.
y/2 ₊ y ₊ 3(y/2) = 204
take LCM
y ₊ 2y ₊ 3y = 408
6y = 408
y = 408/6
y = 68
hence the number of daffodils is 68.
now substitute y value in x = y/2
x = 68/2
x = 34
now substitute x value in z= 3x
z = 3(34)
z = 102
hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.
Learn more about Solving equations here:
brainly.com/question/13729904
#SPJ9
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {4, 6, 8}, B = {3, 4, 7, 10}, and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.)
A ∪ B
Answer:
A U B = {3,4,6,7,8,10}Step-by-step explanation:
Greetings !
Little explanation about union 'U'The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2}∪{2,3}={1,2,3}. Thus, we can write x∈(A∪B) if and only if (x∈A) or (x∈B). Note that A∪B=B∪A.
Hope it helps!!
You have a square blanket that has an area of 64 square feet. What are the dimensions of the blanket (length x width)?
The each side of the square will be 8.
Therefore, the area of a rectangle with a height of 4 cm and a length of 16 cm is 64 cm². Since a square is a rectangle with equal height and width, we need to find a number that when multiplied by itself equals 64... which is the square root of 64. That's 8.8x 8 = 64.
A square is a two-dimensional planar object in geometry that has four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are fairly comparable, however a rectangle only has its opposing sides equal. Therefore, a rectangle is only referred to as a square if its four sides are of the same length.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
Learn more about squares here :
https://brainly.com/question/14198272
#SPJ9
Help me I begging plsssssssssss sesssss
Answer:
2.29x8=18.32
20 an hour because 160÷8=20
31.16 more than part a+b
Step-by-step explanation:
hope this helps plus brainliest if u want have a good day! :)
Yancey Smith works part-time as a sales assistant. Last week he earned $240. This week he earned $325. Yancey is single and claims 2 allowances. Using the percentage method, how much more will be withheld this week for federal income tax?
The answer is 17/48
If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
based on the given conditions , formulates
1×(325-240)÷240
calculate the sum or difference 85/240
cross out the common factor 17/48
so therefore the answer will be 17/48
To know more about percentage method
visit-:https://brainly.com/question/14619211
#SPJ9
i don’t understand pls help!!!
please help me im so lost
Using it's concepts, the domain of the composite functions are given as follows:
Domain of f(g(x)): x > 0.Domain of g(f(x)): x > 0 and x ≠ 1.What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.For the composite functions in this graph, we have that:
g(x) is defined only for x > 0, due to the asymptote, hence f(g(x)) will also be defined only for x > 0, meaning that the domain of f(g(x)) is x > 0.f(x) is defined for all real values, assuming all real values expect y = 1 as range. g(x) is defined for all values of x > 0, hence, considering the two restrictions, the domain of g(f(x)) is x > 0 and x ≠ 1.More can be learned about the domain of a relation at https://brainly.com/question/10197594
#SPJ1
Solve for x: -x+8=3
Answer:
x=5
Step-by-step explanation:
-x + 8 = 3
-x = 3 - 8
-x = -5
x = 5
Hope this helps :)
Have a nice day!
AtNate'sDiner,
7
8
ofthedrinkssoldwerecoffee.AtJeremiah'sPieShop,coffeemadeup528outofevery606drinkssold.Whichrestauranthadagreaterfractionofdrinksthatwerecoffee?
Nate's restaurant sold the greater amount of coffee.
What is Least Common Multiple?The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Given:
Nate's Diner coffee sold = 7/8
and, at Jeremiah's Pie shop
coffee sold = 528 / 606
= 176 / 202
=88/101
Now, making denominator equal by taking LCM(8, 101) which is 808.
So, Nate's coffee's sold = 707 / 808
and, Jeremiah's coffee sold = 704/808
Hence, Nate's restaurant sold the greater amount of coffee.
Learn more about Least Common Multiple here:
https://brainly.com/question/701077
#SPJ1
The number0.000000675 can be written in scientific notation as 6.75 x 10x . What is the value of x?
Answer:
-7
Step-by-step explanation:
The decimal 0.000000675 can be written as 6.75 x 10^-7 in scientific notation. To write a decimal in scientific notation, you need to count how many decimal places the decimal needs to be moved in order to get a number with 2 decimals after it (if that makes sense). In this case, you need to move the decimal point 7 places to the right, so the value of x is -7. The x value is negative if you need to move the decimal to the right and positive if you need to move the decimal to the left.
prime factorisation 545 divisible method
Answer:
Prime Factors of 545 are 5, 109, and usually expressed as 5 x 109. 4.
hope this is right! :) -liaa
Eighty students and some adults went on a 3-day camping trip. Each adult was responsible for five students. How many people went on the trip?
Answer:
96 people
Step-by-step explanation:
Per 5 students 1 adult goes:
80÷5=16
So, 16 adults went.
Total number of Students and Adults combined=The number of people that went on the trip:
80+16=96
is this equivaleent with 9:15?????????????
Answer:yes
Step-by-step explanation:
yes, the ratio 36:60 is equivalent to the ratio 9:15.
if you really liked my answer, please rate, thanks, and award brainliest
hope this helped :)
Construct a sample of 6 measurements whose mean is 15
Answer can not create a sample 2
Step-by-step explanation:
Part A: What does CPI-W stand for?
Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) .
Describe the CPI-W?
The Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) is a monthly indicator of how prices for a market basket of goods and services have changed on average over time for urban wage earners and clerical workers.
What distinguishes the CPI-U from CPI-W?
In order to track retail prices as they effect all urban consumers, the CPI-U is a more comprehensive index. It includes around 87 percent of the population of the United States. The CPI-W, a more specialized indicator, tracks retail prices as they relate to hourly wage earners and office workers in metropolitan areas.Learn more about CPI-U
brainly.com/question/26682248
#SPJ9
literally the hardest question
The amount of money that is invested in the account that yields an 8% interest is $6,050.
The amount of money that is invested in the account that yields a 4% interest is $4,650.
How much was invested in each account?Given these two equations:
x = y + 1400
x - y = 1400 equation 1
0.08x + 0.04y = 670 equation 2
take the following steps to determine the amount of money invested at each interest rate:
Multiply equation 1 by 0.08
0.08x - 0.08y = 112 equation 3
Subtract equation 3 from equation 2
0.12y = 558
Divide both sides by 0.12
y = 558 / 0.12
y = $4,650
x = $4,650 + 1400
x = $6,050
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
#SPJ1
The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
l
which one of these are the answer /
0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars
The final answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.
The total payroll for a baseball team is 2.44 × [tex]10^{9}[/tex] dollars
The total payroll for a football team is 2.9 × [tex]10^{11}[/tex] dollars
How many more dollars is the football team's total payroll than the baseball team's total payroll
The total payroll for a football team = 2.9 × [tex]10^{11}[/tex] dollars = 290 × [tex]10^{9}[/tex]
The total payroll for a baseball team = 2.44 × [tex]10^{9}[/tex] dollars
To find the differentiate between foodball team payroll and the baseball team payroll subtract their payroll.
How many more dollars is the football team's total payroll = The total payroll for a football team - The total payroll for a baseball team
How many more dollars is the football team's total payroll = 290 × [tex]10^{9}[/tex] - 2.44 × [tex]10^{9}[/tex] = 287.56 × [tex]10^{9}[/tex] = 2.8756 × [tex]10^{9}[/tex] dollars
The main answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.
Learn more about subtract here:https://brainly.com/question/213283
To know more problems https://brainly.com/question/13958985
#SPJ1
The admission fee to a carnival is $5.00, and each game costs an additional $1.50 to play. The carnival also has a
special admission price of $14 that includes unlimited games. What is the minimum number of games a customer
must play to make the special admission price less than paying for each game separately?
e-395=175
Solve for e
Answer: 220
Step-by-step explanation: 395-175=220
Answer:
e=570
Step-by-step explanation:
570-395=175
five and five hundred sixty -two thousandths
Five and five hundred sixty -two thousandths written in expanded form, the result is 5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001).
What is expanded form?Writing in expanded form means that we add the digits of a number after they are multiplied by the power of 10 that corresponds with their position.
Tens will be multiplied by 10
Tenths will be multiplied by 0.1
Hundredths will be multiplied by 0.01
Thousandths will be multiplied by 0.001
These numbers are then added to each other.
Five and Five hundred sixty -two thousandths is 5.562 and when written in expanded form it becomes:
5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001)
Find out more on expanded form at https://brainly.com/question/27989020
#SPJ1
A person has a bag containing quarters and nickels. There are a total of 143 coins in the bag, and the total value of the coins is $17.75.
Answer: Maricella has a bag containing 35 nickels and quarters. The ...
Jun 11, 2018
Bag of Nickles and Quarters | Wyzant Ask An Expert
Step-by-step explanation:
Determine the number of proper subsets contained in P if P={x| x is an odd, negative integer and x > −20}.
The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
How to illustrate the information?It should be noted based on the information, the value of P will be:
= P(x is an odd, positive integer and x < 20}
P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)
Therefore, it should be noted that there are 10 numbers.
Therefore, the number of subsets will be:
= 2^n - 1
= 2^10 - 1
= 1023
Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
Learn more about integer on;
brainly.com/question/17695139
#SPJ1
Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.