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Solve and graph the following inequality: 4x + 5 > 13
Answers
Answer:
Option (1)
Step-by-step explanation:
Given inequality is.
4x + 5 ≥ 13
We will further solve this inequality,
(4x + 5) - 5 ≥ 13 - 5
4x ≥ 8
[tex]\frac{4x}{4}\geq \frac{8}{4}[/tex]
x ≥ 2
Therefore, on a number line solution of x will be all values of x greater than equal to 2.
Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.
Option (1) will be the answer.
Related Questions
Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , ,
Answers
Answer:
0.1
0.3
0.22
0.38
Step-by-step explanation:
Answer:
1ST BOX Picking a Comedy movie
2ND BOX picking a science fiction movie
3RD BOX picking a dramatic movie
LAST BOX Picking a romantic movie
Step-by-step explanation:
I took the test
When a famous artist was just beginning her career, she sold a painting for $250. Her artwork has been increasing in value by 15% every year as her popularity has grown. If this rate continues, how much will the painting be worth in 10 years? Round your answer to the hundredths place if needed.
Answers
Answer:625 dollars
Step-by-step explanation:
help do not scam me ok I will give 40 points
Answers
Answer:
C. Preform calculations on my own and compare them to Roberto’s.
Step-by-step explanation:
His calculations do not match the line plot. He doesn’t account for every mark on the plot.
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members use each facility. A survey of the membership indicates that 75% use the golf course, 50% use the tennis courts, and 5% use neither of these facilities. One club member is chosen at random. What is the probability that the member uses the golf course but not the tennis courts
Answers
Answer:
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Step-by-step explanation:
I am going to solve this question using the events as Venn sets.
I am going to say that:
Event A: Uses the golf courses.
Event B: Uses the tennis courts.
5% use neither of these facilities.
This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]
75% use the golf course, 50% use the tennis courts
This means, respectively, by:
[tex]P(A) = 0.75, P(B) = 0.5[/tex]
Probability that a member uses both:
This is [tex]P(A \cap B)[/tex]. We have that:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]
What is the probability that the member uses the golf course but not the tennis courts?
This is [tex]P(A - B)[/tex], which is given by:
[tex]P(A - B) = P(A) - P(A \cap B)[/tex]
So
[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n
Answers
Answer:
A
Step-by-step explanation:
6n=150
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answers
Answer:
This answer is on quizlet
Step-by-step explanation:
Answer:3255.20
Step-by-step explanation:
First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.
Interest =0.27612×$2,400=$55.20
Then add the interest to the unpaid balance.
Total Balance =$3,200+$55.20=$3,255.20
Which of the following are true statements? Select two that apply.
Answers
Answer:
Options A and C are correct answers
Step-by-step explanation:
A) [tex] \angle 5\: and \:\angle 1[/tex] are complementary.
C) [tex] \angle 3\: and \:\angle 4[/tex] form a linear pair.
Hope it helps you in your learning process.
Consider the function graphed below.
What is the average rate of change of the function over the interval [1, 3] ?
A.36
B. 48
C.72
D.96
Answers
Answer:
A. 96
Step-by-step explanation:
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
What is the average rate of change?the rate at which one variable of a function changes in relationship to another variable is called average rate of change.
Here we can see in graph that
when x =1 y=12
and when x= 3 ,y=108
Now we know that rate of change is same as slope of straight line passing through that points
So average rate of change can be calculated as
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{108-12}{3-1}\\\\[/tex]
[tex]\frac{96}{2}[/tex]
=48
By using slope formula we got that average rate of change of the function over the interval [1, 3] is 48 .
To learn more about rate of change visit :https://brainly.com/question/8728504
5th grade math. correct answer will be marked brainliest.
Answers
Answer:
1
12 ------
3
4) Let a represent "x is a multiple of 3".
Let b represent "x is odd".
When x is 36, which of the following is true?
Answers
Step-by-step explanation:
When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36
36 is not odd, making the other statement false
Use the distance formula to find the distance between (2,1) and (6,8). Round to the tenths place. thats the question there isn't any picture or graph
please help!:(
Answers
an electronics store is having a 20%-off on all cell phones. the original price of a cell phone is x dollars. which expression represents the sale price of a cell phone?
a. x - 0.2
b. x - 0.8
c. 0.2*x
d. 0.8*x
Answers
Answer: x*.2
Step-by-step explanation:
When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!
There are three numbers for the combination to the store's safe. The first number is 17. The two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? IT IS MULTIPLICATION BTW
Answers
Answer:
1 28
2 14
4 7
Step-by-step explanation:
7 4
14 7
28 1
...........
The sum of 6 times a number and 4 is 9
Answers
An elementary school is offering 3 language classes: one in Spanish, one inFrench, and one in German. The classes are open to any of the 100 students inthe school. There are 28 students in the Spanish class, 26 in the French class,and 16 in the German class. There are 12 students that are in both Spanish andFrench, 4 that are in both Spanish and German, and 6 that are in both Frenchand German. In addition, there are 2 students taking all 3 classes.(a) If a student is chosen randomly, what is the probability that he or she isnot in any of the language classes
Answers
Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
[tex](A \cap B \cap C) = 2[/tex]
6 that are in both French and German
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]
So
[tex](B \cap C) = 4[/tex]
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]
So
[tex](A \cap C) = 2[/tex]
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]
So
[tex](A \cap B) = 10[/tex]
10 Spanish and French, but not German
16 in the German class.
This means that:
[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]
[tex](C - B - A) = 8[/tex]
8 in only German.
26 in the French class
[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]
[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]
[tex](B - C - A) = 10[/tex]
10 only French
28 students in the Spanish class
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]
[tex](A - B - C) = 14[/tex]
14 only Spanish
At least one of them:
The sum of all the above values. So
[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]
None of them:
100 total students, so:
[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.
Find each product mentally, using the distributive property, 4x51/8. (giving brainliest)
Answers
Answer:
25.5
Step-by-step explanation:
4 x 51 / 8
204/8
25.5
Answer:
Step-by-step explanation:
4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5
2 1/4 divided by 6
PLS I NEED HELP ASAP
Answers
Answer:
.375 which is 3/8
Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375
Answer:
3/8
Step-by-step explanation:
convert mixed numbers to improper fractions
21/4 = 9/4
convert element to fraction
6=6/1
9/4 divided by 6/1
apply the fraction rule (hope you're familiar)
9/4 * 1/6
cross- cancel common factor 3
3*1 = 3
4*2 = 8
multiply the numbers
3/ 4*2
3/8
The number of that grow sugar beet =12
Answers
Answer:
I think question is not proper
you should check it again
hope your day will fine
Answer:
Whatttt
Step-by-step explanation:
Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?
a.
$4,080
b.
$3,180
c.
$3,060
d.
$2,820
Answers
Answer:
Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?
a. ) $4,080 b. ) $3,180 <<<CORRECT c. ) $3,060 d. ) $2,820
Step-by-step explanation:
Edge 2021
Pls help me show work too:(
Answers
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
Use {Exercise 13.07} Three different methods for assem = .05 to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11
What is your conclusion?
SelectConclude not all means of the three assembly methods are equalCannot reject the assumption that the means of all three assembly methods are equal
Item 12are my calculations correct?
Answers
Given :
Number of methods, k = 3
Number of the observations, n = 30
Degrees of freedom Treatment = k - 1
= 3 - 1 = 2
Degrees of freedom for error = n - k
= 30 - 3 = 27
[tex]$SSTR = 4560, \ SST = 10800$[/tex]
[tex]$SSE = SST - SSTR$[/tex]
= 10800 - 4560
= 6240
[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]
[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]
[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]
[tex]$=\frac{6240}{27}=231.1$[/tex]
[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]
[tex]$=\frac{2280}{231.1}=9.865$[/tex]
Source variation Sum of square Degrees of freedom Mean square F
Treatment 4560 2 2280 9.8653
Error 6240 27 231.11111111
Total 10800
The critical value of F for the 0.05 sig level and df (227) is 3.354
Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.
7x10+2x1+6x1/10+3x1/1000
Answers
Answer:72.603
Step-by-step :
70 + 2 + 6 ÷ 10 + 3 ÷ 1000
=72.603
Allison had 310 rocks in the rock collection after three months, her collection increases by 40% how many rocks does she have now?
Answers
Answer:
434
Step-by-step explanation:
310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434
Answer this correctly I’ll give brainalist + 10 points
Answers
That small little box there that’s 90
You subtract 90 with 24 and you should get 66
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
B) one solutionStep-by-step explanation:
to understand thisyou need to know about:linear equationPEMDAStips and formulas:[tex]\sf\text{a system of linear equation has only one solution if $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$}[/tex]given:[tex] \begin{cases}2x - 4y = - 1 \\ 8x - 11y = - 19 \end{cases}[/tex]let's solve:[tex] \sf substitute \: the \: value \: of \: a \: b : \\ \frac{2}{8} \ne \frac{ - 4}{ - 11} \\ [/tex][tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]
Helppppppppppppppppppppp
Answers
in the following figure, the value of x is ____
Answers
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
5x + 4 = 3x + 10 how would you solve for the value of x? How would you prove your solution is correct? How would you prove another value is incorrect? Explain in as much detail as possible.
Answers
5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this
5x+3-3x=10 (the minus because it changed place)
from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7
so now we have
2x=7
x=7/2
Answer:
x=3
Step-by-step explanation:
5x+4 = 3x+10
2x = 6
therefore, x = 3
Verification:
5 * 3 + 4 = 3 * 3 + 10
15+4 = 9+10
19=19
Therefore, LHS= RHS
Hence Proved!
Type the answer in the box.
d = 6 y = 10 g = 8
Answers
Step-by-step explanation:
[tex](6) + \frac{1}{2} (10 + 8)[/tex]
[tex]6 + \frac{1}{2} (18)[/tex]
[tex]6 + \frac{18}{2} [/tex]
[tex]6 + 9[/tex]
[tex]15[/tex]
Answer:
15
Step-by-step explanation:
what are prime factors
Answers
Answer:
Prime Factors is a factor of a given integer which is also a prime number.