-8x is less than or equal to 32
What is the inequalities that are possible.
Answers
Answer:
We conclude that:
\(-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}\)
The solution graph on the number line is also attached.
Step-by-step explanation:
Given the inequality
\(-8x\:\le 32\)
Solving the inequality
\(-8x\:\le 32\)
Multiply both sides by -1 (reverse the inequality)
\(\left(-8x\right)\left(-1\right)\ge \:32\left(-1\right)\)
Simplify
\(8x\ge \:-32\)
Divide both sides by 8
\(\frac{8x}{8}\ge \frac{-32}{8}\)
Simplify
\(x\ge \:-4\)
Therefore, we conclude that:
\(-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}\)
The solution graph on the number line is also attached.
Related Questions
A company can manufacture
x hundred items for a total cost, C, given the equation
C = 100 + 500x - 100x?. How many items can be manufactured if the total cost is to be $700?
Answers
The number of items manufactures if the total cost is to be $700 is 12.
How to find per unit cost?Single costing is another name for unit costing. It offers helpful data to track losses, inefficiencies, and wastages that have an impact on the economy. It serves as a guide for the producer and aids in the creation of a clear production policy. It provides both the overall cost and the cost per unit.x - number of items manufactured
Total cost 'C'.
Equation for the total cost is:
C = 100 + 500x - 100x
For total cost of $700.
700 = 100 + 500x - 100x
on solving:
600 = 400x
x = 6/4
x = 1.5 (numbers can not be in fraction)
x = 12
Thus, the number of items manufactures if the total cost is to be $700 is 12.
Know more about per unit cost
https://brainly.com/question/26959824
#SPJ1
The table shows Molly and Myles's ages.
Molly's Age
Which expression best represents Myles's age in terms of Molly's age?
Answers
Answer:
y=10x
Step-by-step explanation:
myles age is 10 times the age of molly's age
2x10=20
3x10=30
4x10=40
5x10=50
How can 84n-12m+3(12n-5m) be rewritten?
Answers
Answer:
3 • (40n - 9m)
Step-by-step explanation:
Equation at the end of step 1
(84n - 12m) + 3 • (12n - 5m)
Pulling out like terms
3.1 Pull out like factors :
120n - 27m = 3 • (40n - 9m)
3 • (40n - 9m)
HELP ASAP (I chose 34 as random number)
The table shows the grading scale for Ms. Gray's social studies class.
A 90%–100%
B 80%–89%
C 70%–79%
Part A: Pick a number between 28 and 39. This number will represent how many points you earned. If you have a pop quiz worth a total of 40 points, using the number you selected, calculate the percentage you earned on the test. Show each step of your work. (8 points)
Part B: Based on the percentage found in Part A, would you earn a grade of A, B, or C using the grading scale provided? Explain your answer. (4 points)
Answers
Part A: if you earned 14 points out of 17 points on the quiz, your percentage score would be 82.35%.
Part B: the grade earned for the quiz is a B.
What is the percentage?
A percentage is a means to represent a piece of 100 as a ratio or percentage. The sign for it is % (percent), which stands for "per hundred." If your state, for instance, that 50 out of 100 people like chocolate, then means that 50 out of 100 people, or 0.5 (50/100), like chocolate overall. In several disciplines, including finance, business, mathematics, and statistics, percentages are frequently used.
Here, we have
Given: Ms. Gray's social studies class.
A 90%–100%
B 80%–89%
C 70%–79%
Part A: Let's say we pick the number 17 as the number of points earned on the quiz. If the quiz is worth a total of 17 points, and you earned 14 points, then your percentage score is calculated as follows:
Percentage score = (points earned / total points) x 100%
Percentage score = (14 / 17) x 100%
Percentage score = 82.35%
Hence, if you earned 14 points out of 17 points on the quiz, your percentage score would be 82.35%.
Part B: Based on the percentage score of 82.35%, you would earn a B grade using the grading scale provided.
According to the grading scale, a B grade is earned for a percentage score between 80%-89%, and the percentage score obtained in part A is within this range.
Hence, the grade earned for the quiz is a B.
To learn more about the percentage from the given link
https://brainly.com/question/24877689
#SPJ1
What is the volume of the solid
Answers
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
what is the rate in 20 chairs 2 rows
Answers
Answer:
10 chairs one row 20 divided by 2
Answer:20/2 Unit rate 10
Step-by-step explanation:
Shamika earns $25.75 one week. The next week she earns $37.80, and she spends $32.
How much money does Shamika have from these two weeks? I'M just bored ;-; first person get's brainliest and some points (I cant spell ;-;)
◑﹏◐
Answers
Answer:
She would have $31.55 left.
Step-by-step explanation:
25.75 + 37.80 =63.55, as both totals from the two weeks, then she spends 32 dollars, then 63.55 - 32 = 31.55
Answer:
she would have $31.55
Step-by-step explanation:
25.75 + 37.80 =63.55, as both totals from the two weeks, then she spends 32 dollars, then 63.55 - 32 = 31.55
A bank manager wants to encourage new customers to open accounts with principals of at least $3500. He decides to make a poster advertising a simple interest rate of 3%. What must the principal be if the bank manager also wants to advertise that one can earn $10 the first month?
Answers
The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.
How to calculate the principal?From the information, the simple interest is $10 and the rate is illustrated as 3%.
The formula for the simple interest in a month is illustrated as:
S = (p × r × t/12 / 100)
r = rate
t = time
S = interest
Place the values in the formula:
10 = p × 3 × 1 / 100 × 12
10 = 3p/1200
Cross multiply
3p = 12000
Divide
p = 12000/3
p = 4000
The principal is $4000.
Learn more about principal on;
brainly.com/question/19105603
#SPJ1
An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling.
Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54
Required:
What is the correct null hypothesis?
Answers
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
\(H_0; (\mu_1-\mu_2)=0\)
\(H_a; (\mu_1-\mu_2)\neq 0\)
Given information-For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
\(H_0; (\mu_1-\mu_2)=D_0=0\)
Versus
\(H_a; (\mu_1-\mu_2)\neq 0\)
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
\(H_0; (\mu_1-\mu_2)=0\)
\(H_a; (\mu_1-\mu_2)\neq 0\)
learn more about the null hypothesis here;
https://brainly.com/question/4454077
14 POINTS! PLEASE HELP!!!!
Answers
Answer:
Do (8, -9) times 5 for both numbers
Step-by-step explanation:
The probability I take a nap today is 4/5. The probability I will take a nap and a bubble bath today
is 1/5. What is the probability I will take a bubble bath today, given that I took a nap?
Answers
Use Bayes Theorem to compute that probability. I will denote bath as \(B\) and nap as \(N\), the probability will be denoted as \(P(B)\) or \(P(N)\).
By Bayes Theorem
\(P(B\mid N)=\frac{P(N\mid B)\cdot P(B)}{P(N)}\)
Which reads,
"What is the probability of \(B\) given \(N\)".
We know that \(P(N\mid B)\) is 1 because we already took a bath. So the formula simplifies to,
\(P(B\mid N)=\frac{P(B)}{P(N)}\)
Now insert the data,
\(P(B\mid N)=\frac{1/5}{4/5}=\boxed{\frac{1}{4}}\)
So the probability that you will take a bath is \(0.25\) after you have taken a nap.
Hope this helps. :)
At a store 32% of the weekly sales were made on Saturday. Which fraction is equal to this percentage
Answers
Answer:
8/25
Step-by-step explanation:
32% as a decimal is 0.32. 0.32 as a fraction is 8/25, becuase if you divide 8 by 25, you get 0.32.
What is the MOST specific name for quadrilateral WXYZ?
A)
parallelogram
B)
trapezoid
C)
rectangle
D)
rhombus
Answers
Answer:
c
Step-by-step explanation:
it is just turned
elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answers
Answer: d.12
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
10
Solve for x.
8
6
X
will give brainliest!!!
Answers
Answer:
7.5
Step-by-step explanation:
Since the segments are parallel, the side segment lengths are proportional.
8/10 = 6/x
4/5 = 6/x
4x = 30
x = 7.5
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
what is the measure of x
Answers
Answer:
x = 9 inches
Step-by-step explanation:
You want the value of x in the similar triangles shown.
ProportionCorresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.
6/4 = (6+x)/10
15 = 6 +x . . . . . . . . multiply by 10
9 = x . . . . . . . . . subtract 6
The measure of x is 9 inches.
__
Additional comment
You could also write the proportion ...
6/4 = x/(10 -4)
x = 36/4 = 9 . . . . . . . multiply by 6
You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.
<95141404393>
Find the area in square inches. <3
Answers
1/2 x b x h
So we know the height and base is 9 and 12:
1/2 x 9 x 12
Multiply the newly made equation and you get:
54
Have an awesome day <3
$8 is what percent of $8?
Answers
Answer:
100%?
Step-by-step explanation:
f(x) = - 0.05(x ^ 2 - 26x - 120)
What do the zeros of this function represent? Remember the zeros are where f(x) =0.
Answers
We are given function for the path coming out of the cannon.
We also given x is the horizontal distance from the cannon.
We need to explain, what f(x) represents there.
f(x) represents y-axis.
And y-axis also represents height.
Height represents a vertical distance.
Therefore, we could say f(x) represents vertical distance (height) from the cannon for x horizontal distance from the cannon.
A three-column table is given.
Part A C D
Part 30 36 46
Whole B 54 69
What is the value of B in the table?
45
50
18
23
Answers
The value of 'B' in the table is 45.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas.
It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics.
The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, A three-column table.
Part A C D
Part 30 36 46
Whole B 54 69
In D it is 23×2 and 23×3.
Similarly, in C it is 18×2 and 18×3.
Therefore, In A it is 15×2 and 15×3 = 45.
the value of B in the table is 45.
learn more about types of presentation of data here :
https://brainly.com/question/22393918
#SPJ1
Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
Answers
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
For similar questions on farmyard
https://brainly.com/question/772512
#SPJ11
Tim buys a computer for $1,195.00. His local tax rate is 8.25%.
How much does Tim pay for the computer including tax? Round to the nearest cent if necessary.
Answers
Answer:
The total price with tax is 1293.59
Step-by-step explanation:
First find the tax
1195 * 8.25%
1195 * .0825
98.59
Add the tax to the original price
1195+ 98.59
1293.59
The total price with tax is 1293.59
Answer:
$1293.59
Step-by-step explanation:
8.25% of $1195 = $98.5875
$1195 + $98.5875 = $1293.5875
$1293.5875 rounded up to $1293.59
Tim payed $1293.59 for a computer.
30 POINTS
The given table of values represents a linear equation. What is the slope?
x 3 4 5 6
y 1 5 9 13
Responses
2,
3,
5,
4
Answers
Answer: The slope of the given values is 4.
Step-by-step explanation:
Slope is calculated by rise/run and by looking at the first two values of both the x and y we can conclude that the slope is 4. Furthermore, we can fact-check this answer by looking at other sets of coordinates.
Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Answers
Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
For such more questions on amount
https://brainly.com/question/24644930
#SPJ8
An interviewer officer selects a person not suitable for the job is:
Select one:
a. Two Directional Bias
b. None of these
c. Three Directional Bias
d. Unbaised Error
e. one direction Bias
Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
Answers
The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.
In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.
An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.
There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.
The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.
for more such questions on performance
https://brainly.com/question/27953070
#SPJ8
We are testing a new drug with potentially dangerous side effects to see if it is significantly better than the drug currently in use. If it is found to be more effective, it will be prescribed to millions of people.
1.
a. What does it mean in context to make a type I error in this situation?
b. What does it mean in context to make a type Il error in this situation?
c. Which error do you think is worse? Now we are testing to see whether taking a vitamin supplement each day has significant health benefits. There are no (known) harmful side effects of the supplement.
2.
a. What does it mean in context to make a type I error in this situation?
b. What does it mean in context to make a type Il error in this situation?
c. Which error do you think is worse? For a given situation, what should you do if you think that committing a type l error is much worse than committing a type Il error?
A. Increase the significance level.
B. Decrease the significance level.
C. Nothing, just be careful to take a good sample.
Answers
Answer:
1) a) accepting the new drug is better based on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects
b) Accepting and using the current drug in use when it is not as effective as the new drug
c) Type 1 error
2) a) rejecting the vitamin supplement based on not knowing the harmful side effects
b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.
c) Type II error
3) Increase the significance level ( A )
Step-by-step explanation:
1)
a) To make a type 1 error in this situation is accepting the new drug is better and prescribing it to the millions of people based only on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects
b) A type II error in context is :Accepting and using the current drug in use when it is not as effective as the new drug
c) Type I error
2)
a) Type 1 error is rejecting the vitamin supplement based on not knowing the harmful side effects
b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.
c) Type II error
3) If committing a type 1 error is much worse
Increase the significance level
solve :(x+1)(x+2)(x+3)(x+4)=120
Answers
Answer:
x=1
Step-by-step explanation:
(x+1)(x+2)(x+3)(x+4)=120
Split 120 in it's factors: 2x3x4x5
=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5
=>x+1=2 (Take any one in order)
=>x=1
Answer:
x=1
Step-by-step explanation:
120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)
so x+1=2
-1 -1
x=1
To practice for a competition, Alexia swam 0.54 kilometers in the pool each day for 2 weeks. How many meters did Alexia swim in those 2 weeks?
Answers
Answer:Alexia swam 7,560meters in 2 weeks
Step-by-step explanation:
Step 1
7 days = 1 week
therefore 2 weeks = 7 x 2 = 14 days
Step 2
Each day Alexia swam = 0.54 kilometres
So in 14 days( 2 weeks) She swam = 14 x 0.54 km= 7.56km
Answer is needed in meters
so 1000 m = 1km
Therefore 7.56 km = 7.56km x 1000=7,560meters