[tex]2^x\cdot 3^x=200\\\\(2\cdot3)^x =200\\\\6^x=200\\\\x=\log_6200\\\\x=\dfrac{\ln 200}{\ln 6}\\\\x\approx2.96[/tex]
Louis and Ollie are pricing meat at a butcher shop. All of the meat packages are marked $12.99, and the weight, in pounds, of each package is written as a mixed fraction. Which of the following weights would be the best deal? A. 22⁄3 B. 29⁄11 C. 24⁄5 D. 27⁄8
Answer:
Option D
the weights would be the best deal is [tex]2\frac{7}{8}[/tex]
Step-by-step explanation:
The price of all meat packages are marked $12.99.
To find the best deal we have to show that the weight of which package will be greatest.
The weight of each packages are written as a mixed fraction as follows;
[tex]2\frac{2}{3} , 2\frac{9}{11} , 2\frac{4}{5} , 2\frac{7}{8}[/tex]
Now, convert these improper fraction into proper fraction.
[tex]2\frac{2}{3}=\frac{8}{3}[/tex]
[tex]2\frac{9}{11}=\frac{31}{11}[/tex]
[tex]2\frac{4}{5}=\frac{24}{5}[/tex]
[tex]2\frac{7}{8}=\frac{23}{8}[/tex]
To make their denominators same,
the LCM(Least common multiples) of the denominators(11, 3, 5, 8) is 1320.
So,
[tex]\frac{8}{3}= \frac{8\cdot 440}{3\cdot 440} =\frac{3520}{1320}[/tex]
[tex]\frac{31}{11}= \frac{31\cdot 120}{11\cdot 120} =\frac{3720}{1320}[/tex]
[tex]\frac{14}{5} =\frac{14\cdot 264}{5\cdot 264}= \frac{3696}{1320}[/tex]
[tex]\frac{23}{8}=\frac{23\cdot 165}{8\cdot 165} =\frac{3795}{1320}[/tex]
As, you can see that the only fraction is greatest is [tex]\frac{3795}{1320}[/tex]
therefore, the weight [tex]2\frac{7}{8}[/tex] would be the best deal.
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?
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
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
Which digit makes 345 ___ divisible by 2?
1
8
3
7
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.
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.
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?
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.
see picture and please show steps
The picture is only one white dot
Simplify the following expression.
9 – 5(–11x + 7)
–44x + 28
**55x + 16
55x – 26
55x + 44
I think it's B.
Solve the following equation |x+8|=2x-3
[tex]2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}[/tex]
The ____,____, and _____ of three-dimensional figures can be measured.
Length, Width, and Height or lwh
A, D, and E. Length, width, and height
Question number 1 pls
Let x=dog-walking job
Let y= car was attendant
Inequality: 7.50x+6y>92
Inequality: x+y<20
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:
A line segment has the endpoints (2,-5)and(-1,-1). What is it’s slope?
A. -6/1
B. -3/4
C. -1/6
D. -4/3
The slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex](2,\ -5)\to x_1=2,\ y_1=-5\\(-1,\ -1)\to x_2=-1,\ y_2=-1[/tex]
Substitute:
[tex]m=\dfrac{-1-(-5)}{-1-2}=\dfrac{-1+5}{-3}=\dfrac{4}{-3}=-\dfrac{4}{3}[/tex]
Answer: D.If the sales tax is 8% . What is the total cost of a $55 pair of shoes
$50.60 do you need to know how
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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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
At 7am last night, the temperature was 10°F. At 7am the next morning, the temperature was -2°F. By how much did the temperature change from 7pm to 7am?
The temperature decreased by 12°F from 7pm to 7am.
Explanation:The temperature change from 7pm to 7am can be calculated by finding the difference between the temperatures at those times. At 7am last night, the temperature was 10°F.
At 7am the next morning, the temperature was -2°F. To find the temperature change, subtract the initial temperature from the final temperature: -2°F - 10°F = -12°F. Therefore, the temperature decreased by 12°F from 7pm to 7am.
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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
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.
HELP ME ASAP!!!! PLEASE!!!!
99 and division and multiplication.
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.
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
if it takes sound 1 aecond to travel 1.5km how many km will it travel in 3.7 seconds
Lets set up an equation to easier understand this.
1/1.5 = 3.7/x (x represents the unknown km)
We know that whatever you do to the top you do to the bottom.
And we can see that 1 x 1.5 = 1.5
So we can multiply the same thing by 3.7
1.5 x 3.7 = 5.55
So in this case you would travel 5.55 km in 3.7 seconds.
GOOD LUCK :)
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 :)
Read the spreadsheet formula below, then answer the question. cell B5=A5*2 If this formula is filled into cell B6, what will the new formula be? =B5*B5 =B5*2 =A5*B6 =A6*2
The new formula for B6 cell will be B6=A6*2
Answer:
B6 =A6*2
Step-by-step explanation:
In Excel, the rectangular box where the rows and column intersect is called cell. The raws are represented by 1, 2, 3, 4, ................, the columns are represented by A, B, C, D,........,The notation of a cell is 'column row',
When we fill a formula in a cell then it can be proceed in below cells.
Here, the given formula,
B5=A5*2
Since, B6 is the below cell of the cell B5,
And, A6 is the below cell of the cell A5,
Thus, the new formula would be,
B6 =A6*2
What is the inverse of the function f(x) = 2x + 1?
y=0.5(x−1)
Hope i helped
y=2x+1, replace x by y and vice versa
x=2y+1 now solve for y
y=0.5(x-1)
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]