The solution for the given inequality is x ≥ 10.
InequalityAn inequality is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. The solutions for inequalities can be given by: a graph in a number line or numbers.
Therefore, it is common to the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The question gives the inequality 2x+4 ≥ 24. Thus, you should follow the next steps.
2x+4 ≥ 24
2x ≥ 24 -4
2x ≥ 20
x ≥ 10
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To solve the inequality 2x+4≥24, subtract 4 from both sides, simplify the expression, divide both sides by 2, and simplify again. The solution is x≥10.
Explanation:Let's solve the inequality 2x+4≥24. The first step is to isolate the term with x on one side. We can do this by subtracting 4 from both sides, which results in 2x ≥ 20. Next, we want to solve for x, so we divide both sides by 2: x ≥ 10. This means that x is greater than or equal to 10. lets solve step-by-step.
To solve the inequality 2x+4≥24, we need to isolate the variable x.
Step 1: Subtract 4 from both sides of the inequality: 2x+4-4≥24-4
Step 2: Simplify: 2x≥20
Step 3: Divide both sides of the inequality by 2: 2x/2≥20/2
Step 4: Simplify: x≥10
The solution to the inequality is x≥10. This means that any value of x that is greater than or equal to 10 satisfies the inequality.
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are -159/396 and - 26/33 equivalent fractions?
True or false
Your answer is False!!
Given the following fractions as of -159/396 and -26/33....As a decimal which you have to convert it to would be
-159/396=-0.41515
and
-26/33=-0.787879
Hope this helps you.
Answer:
False
Step-by-step explanation:
Simplify the following expression.
9 – 5(–11x + 7)
–44x + 28
**55x + 16
55x – 26
55x + 44
I think it's B.
Solve for the given variable.
How do you change 1/9^4 as an expression using a negative exponent other than -1? Please show how you got your answer.
We use an exponent law here.
Since 1/xⁿ = x⁻ⁿ for positive number a and real number n, it follows that
1 / 9⁴ = 9⁻⁴
The expression 1/9^4 can be changed to an expression using a negative exponent by applying the negative exponent rule, resulting in 9^-4.
To change the expression 1/9^4 to one using a negative exponent, we can apply the property of negative exponents which states that x^-n = 1/x^n. The expression 1/9^4 can thus be written as 9^-4 because we are in essence taking the inverse of 9 raised to the fourth power.
Here is the step-by-step explanation:
Identify the base and the positive exponent in the original expression: 1/9^4. Here, the base is 9, and the positive exponent is 4.Apply the negative exponent rule: x^-n = 1/x^n. This tells us that to convert a fraction like 1/x^n into an expression with a negative exponent, we simply keep the base the same and make the exponent negative.Thus, 1/9^4 becomes 9^-4.
Question number 1 pls
Let x=dog-walking job
Let y= car was attendant
Inequality: 7.50x+6y>92
Inequality: x+y<20
a dog kennel boards dogs for $8 a day the kennel will also groom a dog for $12 write an equation that gives the total cost in dollars of lodging a dog and having it groomed once before it comes home as a function of the number of days the dog is at the Kennel
Answer:
T(d) = $12 + ($8/day)d
Step-by-step explanation:
Total(d) = $12 + ($8/day)d, where d represents the number of days the dog is in the kennel.
I think u mean what i put below if not sorry i wasted your answers.....
Bob was taking his dog into his locol dog bording and grooming area. Bob wants to know how much it would cost him to bord his dog for 2 day and get groomed. If it cost $8 a day for bobs dog to saty there and $12 to be groomed . what would bobs bill be for one groom and 2days of bording.
So, 8x2=16 then do 16+12=28
so bob's bill would be $28
can someone help me with it? click on the photo to see it in full screen
Answer:
Angie will need to save $2.50 for 8 more weeks to get $50
Step-by-step explanation:
Angie has already saved $30
12(2.5)=30
So since she needs $20 more you divide 20 by 2.5 and you get your answer.
20/2.5=8 weeks
Angie has saved $2.50 per week for the past 12 weeks, so she has saved a total of 2.50*12 = $30.00. To reach her goal of $50.00, she needs to save another 50-30 = $20.00. At her current rate of saving, it will take her 20/2.5 = 8 more weeks to reach her goal.
To calculate the total amount of money Angie has saved so far, we simply multiply the amount of money she saves each week by the number of weeks she has been saving.
In this case, Angie saves $2.50 per week and she has been saving for 12 weeks, so she has saved a total of $2.50 per week x 12 weeks = $30.
To calculate the amount of money Angie still needs to save, we simply subtract the amount of money she has saved so far from her goal amount.
In this case, Angie's goal amount is $50 and she has saved $30 so far, so she still needs to save $50 - $30 = $20.
To find out how many more weeks it will take Angie to reach her goal, we simply divide the amount of money she still needs to save by the amount of money she saves each week.
In this case, Angie still needs to save $20 and she saves $2.50 per week, so it will take her $20 / $2.50 per week = 8 weeks to reach her goal.
Therefore, it will take Angie 8 more weeks to save a total of $50.
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Question:-
Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how many more weeks will it take her to save a total $50?
A high school soccer team contains 7 juniors and 17 seniors. What is the ratio of the total number of players on the team to the number of senior players?
The ratio of the total number of players on the soccer team to the number of senior players is 1.41 to 1, found by dividing the total number of players (24) by the number of seniors (17).
Explanation:The question is asking for the ratio of the total number of players on the team to the number of senior players. To get the total number of players, you should add the number of juniors and seniors together. This is, 7 juniors + 17 seniors = 24 total players. The ratio is then calculated as the total number of players divided by the number of seniors, which is, 24 total players ÷ 17 seniors. This simplifies to approximately 1.41 to 1.
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Help me find the andwer.
We know that vertically opposite angles are equal
Therefore, 6x-7 = 4x +23
6x -4x = 23 + 7
2x = 30
X = 30/2 = 15
Angle ABC = 6 (15) -7 =90-7 =81
Which table represents a function with a greater rate of change than y = 3x?
the first chart is multiplying by 4
the second chart is multiplying by -3
the third chart is multiplying by 1/2
the fourth chart is dividing by -3
i hope this helps you
Which digit makes 345 ___ divisible by 2?
1
8
3
7
I’m lost again lol can someone help?
the answer is c. (18)(60)t would give you the amount of corn removed from the silo to be subtracted from the original amount, which would tell you how much corn is in the silo after t hours. hope this helps :)
1. A group of employees bought a get-well gift for a coworker. The gift cost $46.06. If there are 22 employees in the group, how much does each employee need to contribute? A. $1.37 B. $2.90 C. $.75 D. $2.09
the answer is D
you divide 46.06 by 22 and it will give you the cost of what each employee needs to contribute
One box holds 16 crayon another holds 24 write a sentence using words that compare crayon in the two boxes
The box containing 24 crayons has more crayons than the box with 16, indicating a greater quantity of colors available for artistic expression.
Compare the quantities of crayons in each box: 24 crayons in one box and 16 in the other. By recognizing the numerical difference, infer that the box with 24 crayons has more than the one with 16. The use of the phrase "more crayons" in the sentence reflects this numerical comparison, providing a concise and accurate description of the quantity disparity between the two boxes.
This interpretation aligns with the fundamental understanding that a larger numerical value signifies a greater quantity, facilitating a clear and straightforward expression of the comparison between the two sets of crayons.
Which expression is equivalent to 64y18 – 1000z6?
(4y6)3 – (10z2)3
(16y6)3 – (10z2)3
(16y6)3 – (100z2)3
(4y6)3 – (100z2)3
Answer:
[tex](4y^6)^3 - (10z^2)^3[/tex]
Step-by-step explanation:
Given: [tex]64y^{18}- 1000z^6[/tex]
Solution:
Option 1) [tex](4y^6)^3 - (10z^2)^3[/tex]
[tex]64y^{18} - 1000z^6[/tex]
So, Option 1 is equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 2)[tex](16y^6)^3 -(10z^2)^3[/tex]
[tex]4096y^{18} -1000z^6[/tex]
So, Option 2 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 3)[tex](16y^6)^3 -(100z^2)^3[/tex]
[tex]4096y^{18} -1000000z^6[/tex]
So, Option 3 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 4)[tex](4y^6)^3 -(100z^2)^3[/tex]
[tex]64y^{18} -1000000z^6[/tex]
So, Option 4 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Hence [tex](4y^6)^3 - (10z^2)^3[/tex] is equivalent to [tex]64y^{18}- 1000z^6[/tex]
So, Option A is correct.
Play A's longest home run distance is 500 ft. There are 5280 ft in 1 'll how many home runs would player b need to hit at his longest distance for the total to be greater than 1 ml
Answer
500*b > 5280
Solution
To get this to an answer, you have to divide by 500
b > 5280/500
b must be greater than 10.56 which is the answer to 5280/500
So you should say that he needs to hit 11 home runs, because 0.56 home runs is not possible.
Answer
11 home runs
I need to know the answer ?
2.31 meters in height
2.65m - 0.34m = 2.31 meters
36x^18+60x^9y^2+25y^4 factored in two products of polynomial
[tex]36x^{18}+60x^9y^2+25y^4=6^2x^{9\cdot2}+2\cdot6x^9\cdot5y^2+5^2y^{2\cdot2}\\\\=6^2(x^9)^2+2\cdot6x^9\cdot5y^2+5^2(y^2)^2\qquad(*)\\\\=(6x^9)^2+2\cdot6x^9\cdot5y^2+(5y^2)^2\qquad(**)\\\\=(6x^9+5y^2)^2=(6x^2+5y^2)(6x^9+5y^2)\\\\Used:\\\\(*)\qquad(a^n)^m=a^{nm}\\\\(**)\qquad(a+b)^2=a^2+2ab+b^2[/tex]
Can someone explain how to identify linear equations please?
Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.
A) x=1/2
You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.
Hope this helped! :)
it costs $36.75 for 3 tickets to visit the science center. it costs $51 for 4 tickets to visit the zoo. which attraction will cost more money for a group of 12 students to visit? how much more?
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots. Box plots titled Males versus Females in Hours Worked Weekly during the Summer with horizontal axis labeled Hours worked per week ranges from 0 to 55. Males box plot with minimum approximately at 15 and maximum approximately at 35 has interquartile range approximately between 20 and 25 and median approximately at 22. Females box plot with minimum at 0 and maximum approximately at 50 has interquartile range approximately between 0 and 25 and median is approximately at 20. Identify any values of data that may affect the statistical measures of center and spread.
The values of data that may affect the statistical measures of center and spread are the outliers and extreme values in the female dataset.
Statistical measures of center include the mean, median, and mode, while measures of spread include the range, interquartile range (IQR), variance, and standard deviation.
From the given box plots:
For males:
- The minimum number of hours worked per week is approximately 15.
- The first quartile (Q1) is approximately 20.
- The median (Q2) is approximately 22.
- The third quartile (Q3) is approximately 25.
- The maximum number of hours worked per week is approximately 35.
For females:
- The minimum number of hours worked per week is 0.
- The first quartile (Q1) is approximately 0.
- The median (Q2) is approximately 20.
- The third quartile (Q3) is approximately 25.
- The maximum number of hours worked per week is approximately 50.
In the male dataset, there are no apparent outliers or extreme values since the data is relatively compact with a narrow IQR and no data points far from the quartiles.
However, in the female dataset, there are potential outliers or extreme values:
- The minimum value of 0 hours worked per week is an outlier because it is far below the first quartile.
- The maximum value of approximately 50 hours worked per week is an extreme value because it is far above the third quartile.
These outliers and extreme values in the female dataset can significantly affect the measures of center and spread:
- The mean will be pulled down by the minimum value of 0 and up by the maximum value of 50, potentially making it less representative of the central tendency of the data.
- The range will be much larger due to the extreme maximum value.
- The IQR will not be affected by these outliers since it is based on the middle 50% of the data, but the overall spread of the data will be larger due to the presence of outliers.
- The variance and standard deviation will be increased by the presence of these outliers, indicating a larger spread in the data.
In summary, the outliers and extreme values in the female dataset are the values that may affect the statistical measures of center and spread. These values can skew the mean, increase the variance and standard deviation, and extend the range, making these measures less indicative of the typical work hours for female students.
The ____,____, and _____ of three-dimensional figures can be measured.
Length, Width, and Height or lwh
A, D, and E. Length, width, and height
A Sofa stores markup rate is 1/3 of the wholesales price. What is the wholesale price of a sofa if the markup is $90?
Th wholesale would be $30
The price of a train ticket from Columbus to New York is normally $122.00. However, children under the age of 16 receive a 60% discount. Find the sale price for someone under the age of 16.
Answer:
$48.80
Step-by-step explanation:
If they get a 60% discount, then they only pay 40% of the fare.
So what you have to do is take 40% of 122.00 = 40/100 * 122 = 4880/100 = 48.80
So the sale price is 48.80 dollars
For every 3 days of vacation, Farah packs 4 outfits.Which of the following statements are true?Choose 3 answers:Choose 3 answers:(Choice A)AFarah would pack 6 outfits for an 888-day vacation.(Choice B)B Farah would pack 8 outfits for a 6-day vacation.(Choice C)CFarah would pack 10 outfits for a 9-day vacation.(Choice D)DFarah would pack 16 outfits for a 12-day vacation.(Choice E)Farah would pack 28 outfits for a 21-day vacation
You know that:
Farah packs 4 outfits for 3 days of vacation.
Then Farah packs:
8 outfits for 6 days of vacation (choice B);12 outfits for 9 days of vacation;16 outfits for 12 days of vacation (choice D);20 outfits for 15 days of vacation;24 outfits for 18 days of vacation;28 outfits for 21 days of vacation (choice E).Answer: correct choices are B, D and E.
Answer:
We have been given that for every 3 days of vacation, Farah packs 4 outfits.
That means [tex]\text{one day vacation she packs}\frac{4}{3}outfits.[/tex] (1)
Multiply number of vacation with [tex]\frac{4}{3}[/tex] to get number of outfits.
Choice A is correct according to equation (1)
1.Farah would pack 6 outfits for an 8-day vacation.
Choice B is other way round of A so correct.
2.Farah would pack 8 outfits for a 6-day vacation.
Choice D is correct
3.Farah would pack 16 outfits for a 12-day vacation.
Choice E is also correct.
4.Farah would pack 28 outfits for a 21-day vacation.
what is p(2) given p(n)=6-2|1 + n|
p = 0 hope this helps
use the following pattern to answer the questions. 24.3, 24, 23.7, 23.4, ___,____. part A. ( what is the rule for the pattern?
A. add 0.3 to each term
B. subtract 0.3 from each term.
C. add 0.03 to each term.
D. subtract 0.03 from each term
part B
complete the next two terms in the pattern
24.3,. 24, 23 7,. 23,4 choose option 1( 23.1, 23.5, 24.1 ,24,5)
option 2( 22.2,. 22.4, 22.6, 22.8)
3. which explains where the sum of 0.52+0.61 is less than or greater than 1.
A. the sum is less than 1 because both decimals are less than 1.
B. the sum is less than 1 because the sum does not completely shade one hundredths grid.
C. the sum is greater than 1 because the sum shades more than one hundredths grid.
D. the sum is greater than 1 because any two hundredths decimals added together is greater than one.
4. Holland added three decimals that made a sum of 2. one of the decimals was 0.34. what are two other decimals Holland could have used to make a sum of 2? Explain how you know.
5. Maysa made an error in her work on the following problem
3.5 - 2.46 = 1.16
describe Maysa's error. . Explain how you would use a model or place- value concepts to help Maysa build understanding. Give the correct answer in your explanation.
Question 1:
For this case we have the following pattern of numbers:
24.3, 24, 23.7, 23.4
It can be seen that subtracting 0.3 from the first number of the pattern gives [tex]24.3-0.3 = 24\\[/tex]
Equally if we subtract 0.3 successively we obtain:
[tex]24-0.3 = 23.7\\\\23.7-0.3 = 23.4\\\\23.4-0.3 = 23.1\\\\23.1-0.3 = 22.8\\[/tex]
Thus, 0.3 must be subtracted from each term and the following numbers of the pattern shall be 23.1 and 22.8
Answer:
subtract 0.3 from each term
The next two numbers of the pattern are 23.1 and 22.8
Question 2:
For this case we have the following operation:
[tex]0.52 + 0.61 = 1.13\\\\1.13> 1\\[/tex]
We note that the sum is greater than 1
The sum of two hundredth decimals does not necessarily have to be greater than 1.
Therefore, the correct option is: the sum is greater than 1 because the sum shades more than one hundredths grid.
Answer:
Option C
Question 3:
For this case we have to:
[tex]a + b + c = 2\\[/tex]
Being a, b, c decimal numbers, one of them was 0.34. Suppose [tex]a = 0.34\\[/tex]
Thus: [tex]0.34 + b + c = 2\\[/tex]
We choose values for b and c, in order to obtain the number 2 as a result of the sum. We can choose infinite values so that equality is fulfilled
If[tex]b = 0.96[/tex] and
[tex]c = 0.7\\[/tex]
we have: [tex]0.34 + 0.96 + 0.7 = 2\\[/tex]
Thus, Holland can add to the sum [tex]b = 0.96[/tex] and [tex]c = 0.7\\[/tex]
Answer:
[tex]b = 0.96\\\\c = 0.7\\[/tex]
Question 4:
For this case we have the following subtraction:
[tex]3.5 - 2.46 = 1.16\\[/tex]
This operation is wrong, subtracting [tex]3.5-2.46[/tex] results in 1.04
Let's explain a model for Maysa:
We have the following expression
[tex]3.5 - 2.46\\[/tex]
Rewriting each number in expanded form we have:
[tex](3 + 0.5) - (2 + 0.46)\\[/tex]
Using the distributive property we have:
[tex](3 + 0.5) -2-0.46\\[/tex]
Using the associative property we have:
[tex](3-2) + (0.5-0.46)\\[/tex]
Performing each operation:
[tex]1 + 0.04 = 1.04\\[/tex]
Anwer:
The subtraction of Maysa is wrong, the correct answer is:
[tex]3.5 - 2.46 = 1.04[/tex]
Answer
Option B. Subtract 0.3 from each term.
Step-by-step explanation:
If you follow the pattern 24.3-24=0.3
similarly 24-23.7=0.3
23.7-23.4=0.3
Conclusion : We will subtract 0.3 every time in order to get the new number.
Albert opens a savings account with $50 to save for a new iPhone xs. each week after he deposits $15. in how many weeks will he saved $500
50-500=450
450/15=30
30 weeks
Albert needs 30 weeks to save $500, starting with an initial $50 and depositing $15 each week after.
Explanation:The subject of this problem is saving money over time. Albert starts with an initial amount of $50. Each week afterward, he adds an additional $15 to his savings. If he wants to save a total of $500, we need to figure out how many weeks that will take.
Since Albert already starts with $50, we first subtract that from $500, the total he wants to save, which leaves $450.
Then, we divide 450 by the amount Albert saves each week, $15. This equals 30, meaning it will take Albert 30 weeks to save $500.
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The perimeter of a triangle is 26 centimeters. Side a of the triangle is 3 centimeters longer than side b. Side c is 1 centimeter shorter than twice side b. Find the length of each side.
a+b+c=26
a=b+3
c=2b-1
b+3+b+2b-1=26
4b=24
b=6 cm
a=6+3=9cm
c=2*6-1=11 cm
side *a* is 9 cm
side *b* is 6 cm
side *c* is 11 cm
To find the lengths of the sides of the triangle, we set up an equation using the given perimeter and the relationships between the sides. Solving the equation gives us the length of each side.
Explanation:To find the lengths of the sides of the triangle when given the perimeter and relationships between the lengths of the sides, we can use algebra to set up a system of equations. Let's denote side b as x centimeters. According to the problem, side a is 3 centimeters longer than side b, so a can be represented as x + 3 centimeters. Side c is 1 centimeter shorter than twice side b, which gives us c as 2x - 1 centimeters.
The perimeter of the triangle is the sum of its sides, so:
x + (x + 3) + (2x - 1) = 26
Solving this equation gives us x, from which we can determine the lengths of sides a and c as well.
What advice would you give to a person having problems in geometry overall.( I understood algebra but gemotery is so much more different and difficult to understand. Should I consider hiring a tutor?