The value of 'b' written in inequalities is: 8 > b > -8.
What are the rules solving inequalities?Inequalities are mathematical declarations that include the symbols > and <.
To'solve' an inequality, you must first identify a range, as well as ranges, of values which an unexplained x can take while still satisfying the inequality.In this unit, inequalities are solved with algebra and graphs.Some rules for solving the inequalities are-
If a < b, then a + c < b + c: The direction of an inequality symbol is not changed by adding same number for every side.If a < b, then a – c < b – c: The direction of an inequality symbol is not changed by subtracting the same number out of each side.If a < b and if c are a positive number, then a×c < b×c: The direction of an inequality symbol is not changed by multiplying/diving each side by a positive number.If a < b and if c is a negative number, then a×c > b×c: When every side of an inequality is multiplied/divided by a negative number, the direction of a inequality symbol is reversed.For the given inequality;
48 < -6b < 48
Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.
Thus,
8 > b > -8 which defined the limits for the b values.
Therefore, the interval for the value of 'b' are obtained as 8 > b > -8.
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Select all the correct answers.
Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek.
Which of the following descriptions are equivalent ways to write this problem?
-----------------------------------------------------
1, Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek.
2. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
3. Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.
4. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.
(this problem is multiple choice btw)
Answer: 54
Step-by-step explanation:
54
Answer: The 4 one is correct, The 2 one is correct
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if im wrong i am so sorry:(
Its solving polynomials. Help asap please
[tex] \: \Large \mathbb{ANSWER:}[/tex]
[tex] \: \: \boxed{ \rm{{x}^{2} - 4x - 2 - \frac{8}{x - 1} }} \\ \\ [/tex]
[tex] \: \: \text{Kindly Refer to the Attachement for the solution.}[/tex]
Answer:
jdyeu73801964rj79e91In the student council election, 217 students vote. Uma receives 4 votes for every 3 that Paloma Receives. How many more votes does Uma receive than Paloma?
In probability 31, more votes does Uma receive than Paloma .
In statistics, what does a probability mean?
The likelihood that an event will occur in a Random Experiment is measured by probability. A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.let uma u and paloma p votes
Uma = 4/7 = u/217
4 × 217 / 7 = u
u = 124
paloma = 3/7 = p/217
3 × 217 /7 = p
p = 93
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convert 0.000000000000000000000000000000910938356 into scientific notation
How to get 5% of any number
______________________________________________________
Five percent is considered a half of 10 percent. So, to find 5% of a number, all you need to do is divide 10 percent of the number by 2.
Example: Let's find 5 percent of 230. You need to take 23 and divide it by 2, and you get 11.5.________________________________________________________
Hope this helps! If so, lmk! Thanks and good luck!
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and .
+
Answer:
their lowest common multiple (LCM) is 60
Step-by-step explanation:
numbers, writing your answers on one line in the form,
The two numbers are ... and .
The perimeter of a rectangle is 150 meters. If the length of the rectangle is 15 meters more than the width, what are the dimensions of the rectangle
Please help me with my math
Answer:
nmms grbtbtbtbynybybtby
Answer:(5,-1.5)
Step-by-step explanation: So you add the x of both the points together so 3+7=10 and then divide by 2 cause there are 2 numbers. 10/2=5
Same thing with y -4+1=-3 then -3/2=-1.5
So the answer is (5,-1.5)
Please answer this !!!!!! will give brainliest !on first down, the vultures lost 6 yd. on second down, they lost 5yd. on third down, they lost 8 yd. use an integer to express their overall change in position as a result of the three plays.
As per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.
As given,
Let x be the total number of yards in the beginning
First down they lost 5 yards, second 6 yd and third 8 yd.
Required equation,
x-5-6-8
= x-19
Negative sign represent the lost of 19 yads.
Therefore, as per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.
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A white tailed deer can sprint up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The American bison is 10 miles per hour faster. It can run at 40 miles per hour.
Step-by-step explanation:
See the picture for the conversion. I used unit multiplies to change feet to miles and seconds to minutes.
Two irrational numbers that equal to 2. What are they?
The two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)
What are irrational numbers?Irrational numbers are numbers that cannot be expressed or written as a quotient of integers.
Example of irrational numbers are; √5 , √7, √3, etc
Irrational numbers that can add up to 2
(√5 - 2) + (4 - √5)
expand the bracket
√5-2 + 4-√5
collect like terms
√5 - √5 -2 + 4
-2 + 4
2
Hence, the two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)
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meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
The fact that the tails of a normal distribution never touch the horizontal axis relates to ______ property.
The fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.
What is the normal distribution?The normal distribution or bell-shaped curve are other names for the Gaussian distribution. The mean divides the normal distribution into two equal pieces, making the mean symmetrical. In a normal distribution, the mean determines the curve's height, while the standard deviation determines its width.
So the tails on a normal distribution go on forever and never touch the x-axis.
Therefore, the fact that the tails of a normal distribution never touch the horizontal axis relates to the asymptotic property.
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What is the gradient of a line perpendicular to a line with a gradient of 1/6 ?
Answer:
-6
Step-by-step explanation:
m1 × m2 = -1
(1/6) × m2 = -1
m2 = -6
You arrive in Tokyo with $320. How many yen can you buy ?
Answer:
You can buy 31788.8 with $320.
Step-by-step explanation:
To calculate this, we know that yen is 0.01007 dollars per foreign. We also know that 1 dollar = 99.34 So, therefore you will multiply 320 * 99.34 and you will get 31788.8 Yen.
I hope this helps and have a good day! :D
|2x-5| < 7
How to solve for x?
Answer:
-1 < x < 6
Step-by-step explanation:
|2x - 5| < 7
-7 < 2x - 5 < 7
-2 < 2x < 12
-1 < x < 6
Greg ate 1/6 of a pizza. afterward, steve ate 1/3 of the remaining pizza. what fraction of the pizza was left after that?
Answer: 1/2
1/3 = 2/6, and 2/6 + 1/6 = 3/6. Since 3/6 can be simplified to 1/2, there would be half of a pizza left.
Here's an image to explain:
-12 / 3 * (-8 + (-4)^2 - 6) +2
simplified please !!
I need it soon please!
ILL GIVE BRAINIEST
i need the steps too
Answer:
-6
Step-by-step explanation:
use PEMDAS
start with the exponent: (-4)^2=16
-12 / 3 * (-8 + 16 - 6) +2
then the parentheses: (-8+16-6)=2
-12 / 3 * 2 +2
next is multiplication/division, division comes first so: -12/3=-4
-4 * 2 +2
then multiplication: -4*2=-8
-8+2=-6
A zero-order reaction of reactant a is found to have [a]0=0.25 m. if [a]=0.10 m at t=100. s, what is the rate constant k?
The rate constant K is 0.0015.
Zero-order reaction of reactant a is found to have [a]0=0.25 m and
if [a]=0.10 m at t=100s, then we need to find the rate constant k.
What is the formula for rate constant k?The rate constant, k, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction
k=([a]0-[a])/t
where k is rate constant,
By the given data we have [a]0=0.25 m
[a]=0.10 m
t=100s
k=?
The rate constant, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction.
The rate constant is denoted by k.
k=([a]0-[a])/t
Subtract 0.10 from 0.25 and divide it by 100
=(0.25-0.10)/100
=0.15/100
=0.0015
Therefore 0.0015 is the rate constant when a zero-order reaction of reactant a is found to have [a]0=0.25 m and [a]=0.10 m at t=100.
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Complete the proof.
If 7 + 5x + 9 = −3x, then x = −2.
Drag and drop the reasons to correctly complete each box.
Answer:
distributive property
subtraction
division property of equality
Convert 50 pounds into kilograms
Answer:
22.6796 kg
Step-by-step explanation:
for an approximate result, divide the mass value by 2.205
but the conversion is 50 pounds = 22.696 kilograms
Answer:
22.68 kilograms
Step-by-step explanation:
I found the answer on the internet
If x represents a number, then write an expression
for the product of one more than the number with
one less than the number.
The value of algebraic expression for given is (x + 1)(x - 1)
What is an Algebraic expression?An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A group of phrases containing letters and numbers that are joined using addition (+), subtraction (-), multiplication (*), and division (**) are known as algebraic expressions.
Let the number be x
Expression for given statement will be -
(x + 1)(x - 1)
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Given f(x) = 2x² - 5x, evaluate f(x-4) + f(x)
Step-by-step explanation:
f(x) = 2x² - 5x
= f(x-4) + f(x)
= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]
= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]
= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]
= [2x² - 21x + 52] + [2x² - 5x]
= 4x² - 26x + 52
A student has 5 ninths gallons of popcorn to give away. He wants to split it evenly between his 4 friends. How much popcorn does each friend receive?
20 over 9 gallons
1 gallon
5 over 13 gallons
5 over 36 gallons
Given the points a(- 1, 2) and b(7, 10), find the coordinates of the point p on the directed line segment that partitions in the ratio 1:3. plot p along with segment ab
The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).
x = [m(x₂) + n(x₁)]/(m + n)
And,
y = [m(y₂) + n(y₁)]/(m + n)
So,
x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1
y = [1(10) + 3(2)]/(1+3) ⇒ y = 4
Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".
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Splash city water park has 14 different rides. Each customer goes on an average of 8.4 rides, with standard deviation of 2. The distribution of rides customers go on is normal. What percent of the riders go on more than 10 rides? Round to the nearest percent.
Using the normal distribution, it is found that 21% of the riders go on more than 10 rides.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 8.4, \sigma = 2[/tex]
The proportion of riders that go on more than 10 rides is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (10 - 8.4)/2
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119 = 21.19% = 21%(rounded to the nearest percent)
21% of the riders go on more than 10 rides.
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(PLEASE HELP!) A car travels 76 km due north and then 25 km due east.
(a) What is the cars current bearing from the starting point correct to the nearest degree?
(b) How far is the car from the starting point correct to the nearest km?
Answer:
Step-by-step explanation:
Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.
a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.
Now SOH CAH TOA
76 km is the ADJACENT
25 km is the OPPOSITE
and x is the HYPOTENUSE
We have the values of the ADJACENT and the OPPOSITE.
Now see which rule has both, It is TOA(tan rule) which is:
tan(y) = OPPOSITE/ADJACENT (y is the degrees we will get)
tan(y) = 25/76 ( opposite of the degree we need is 25 and adjacent is 76)
tan inverse(25/76) = y (inverse will be given as to the power -1 on the calculator)
FINAL ANSWER OF (a) = 18.21°
b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.
For this part, you will use the Pythagoras Theorem
Which is :
a² + b² = c²
Where c is the hypotenuse and a and b are the opposite and adjacent.
So
76² + 25² = x²
6401 = x²
√6401 = x
x = 80.01
a car dealer claims that buying a new car sam will pay 20% less for gas than for the car he currently owns. the car sam currently drives cost 15% less to gas than dons car. don pays 800$ per year for gas car. assume all cars will be traveling the same distance. how much does he pay for his current car?
Help pls and pls give explanation!
Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.
According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.
We are supposed to find out how much will Sam pay for his current car.
To solve this question, we need to know about the concept of percentage of any number.
Don currently pays 800$ per year on gas.
Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,
= [tex]800 - \frac{15}{100} *800[/tex]
= [tex]800-120[/tex]
= [tex]680[/tex]$
680$ per year is the money Sam is spending currently.
If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$
= [tex]680-\frac{20}{100} *680\\[/tex]
= [tex]680 - 136[/tex]
= [tex]544[/tex]$
Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.
Percentage: In math, a percentage is a number or ratio that can be expressed as a fraction of 100 i.e., if we are supposed to find 20% of 80 then [tex]\frac{20}{100} *80=16[/tex]If you wish to learn more about percentage, click the link given below:
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Explain why researchers formulate a null hypothesis in addition to a hypothesis when designing an experimental study.
A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.
What is the null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.
The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.
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23
Which answer choice represents 4 as a mixed number?
5-/1/2
51-1
CT
3/4
61/1
Answer:
Its C: 5 3/4
Step-by-step explanation:
1: First we figure out how many times 4 goes into 23
4 goes into 23 5 times. So our whole number will be 5
2: Now, we put our remainder on the top and keep the denominator the same
Making the fraction - 3/4
5¾