If Milly knits a scarf that is 1.2 m long then Lotte's scarf be 2.20 in metres.
We will use unitary method to solve this problem.
We know, Milly and Lotte are knitting scarves.
For every 6 cm that Milly knits, Lotte knits 11 cm. This can also be written as,
6 cm Milly knits ----------------> 11 cm Lotte knits
1 cm Milly knits ----------------> (11/6 ) cm Lotte knits
We know, 1m = 100cm. So, we can write
120 cm Milly knits ----------------> ( 11/6 ) × 120 cm Lotte knits
120 cm Milly knits ----------------> 220 cm Lotte knits
120 cm Milly knits ----------------> 2.20 m Lotte knits
Thus, we can conclude that if Milly knits a scarf that is 1.2 m long then Lotte knits 2.20 metres scarf .
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The measure of an angle is four times the measure of its supplementary angle. What is the measure of each angle?
Answer: 1 angle is 144° and the other angle is 36°
Step-by-step explanation:
To find the smaller angle you would do:
1. x+4x=180
2. 5x=180
3. x=36
Then for the larger angle it would be 36×4=144
Distance between two points khan academy
May someone please help me out with this
Answer:
y=-1/4x-6
Step-by-step explanation:
it hit -6 on the y axis
And it is jumpin by 4 going down
So -4 is the x axis
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?
Given:
Number of samples n =58
Mean
[tex]\mu=20.53[/tex]Standard deviation
[tex]\sigma=3.23[/tex]Required:
Find the confidence interval.
Explanation:
The confidence interval formula is
[tex][\mu-1.96\times\frac{\sigma}{\sqrt{n}},\mu+1.96\times\frac{\sigma}{\sqrt{n}}][/tex]Substitute the given values in the formula.
I need some help with my math please.
Answer: -10 + 34u
Step-by-step explanation:
2 x (10u + 3) + 2 x (7u -8)
20u + 6 + 14u - 16
34u - 10
Answer: -10 + 34u
Step-by-step explanation:
1) Set up the equation
A = 2B + 2H
2) Substitute the variables
A = 2(10u+3) + 2(7u-8)
3) Solve the equation
A = 20u + 6 + 14u - 16
4) Simplfy
A = 34u - 10
A = -10 + 34u
Please help me please please please please please help me I’ll give brainly
Answer:
3y
Step-by-step explanation:
Divide the numbers and then divide the variables.
21/7 = 3
y²/y = y
Therefore,
21y²/7y = 3y
Determine which integer will make the inequality 20 > 4x + 16 true.
S:{16}
S:{20}
S:{−1}
S:{1}
Answer:
-1
Step-by-step explanation:
replace x with -1
20>4(-1)+16
20>-4+16
20>12
Divide.
3/4÷2 1/2
Responses
3/10
1 1/2
1 7/8
3 1/3
The answer is 3/10
Explanation:
= 3/4 x 2/5
= 3/4 x 2/5
= 3/2 x 1/5
= 3 x 1 / 2 x 5
= 3 / 2 x 5
= 3/10
Find the slope of the line passing through the two points on the line (1,2) and (5,1)
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )
m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]
The actual population of the U.S. (as of 2012) is approximately 3.14 x 10°. How does the population density ofCalifornia (i.e., the number of people per square mile) compare with the population density of the U.S.?
We have the folllowing, the density population in US is:
[tex]d=\frac{population}{area}=\frac{3.14\cdot10^8}{3.794\cdot10^6}=82.76\text{ }[/tex]The density population in California is:
[tex]d=\frac{population}{area}=\frac{3.804\cdot10^7}{1.637\cdot10^5}=232.37[/tex]The density in Califoria is 232.37 per mi^2
therefore, the density in California is higher than in the US.
What is the image of (0,6) after a reflection over the y-axis?
Answer:
(0, 6)
Step-by-step explanation:
The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).
Please help and provide an explanation
What is the equation of the line that passes through point (3, -4) and has a slope of 0?
Answer:
y = -4
Step-by-step explanation:
it's a horizontal line
Calculate the Standard Deviation of the following set of data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. 7.66
b. 6.78
c. 23
d. 46
Answer:46656
4634234
Step-by-step explanation:5
y5
Answer:
6.78
I hope this helps.
Step-by-step explanation:
an = an-1 + 15; a₁ = 8
The explicit formula which correctly represents the progression represented by the recursive formula above is; a(n) = 8 + 15(n - 1).
What is the explicit formula which correctly describes the progression represented by the recursive formula given?It follows from the complete task content that the explicit formula which correctly represents the progression described by the recursive formula; an = an-1 + 15 be determined.
Therefore, by observation of the recursive formula; it follows that the progression is arithmetic with a common difference, d = 15.
Also, since the first term; a₁ = 8, the required explicit formula is;
a(n) = 8 + 15(n - 1).
This follows from the general explicit formula of arithmetic progressions; a(n) = a₁ + (n - 1)d.
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Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer. What is the percent error of Ming’s estimate?
The percent error of Ming’s estimate is 28.571%
Ming estimated that there would be 21 members in his bicycle club by the end of summer
There were actually 15 members at the end of summer
error = 21 - 15 = 6
error percent = error / total x 100
=100( 6 / 21)
= 28.571
Therefore, if Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer the the percent error of Ming’s estimate is 28.571%
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Lydia invests $1,100 in an account that earns interest at an annual rate of 5.5% compounded monthly.What is Lydia's return on investment after 2 years?
The rule of the compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]A is the new amount
P is the initial amount
r is the interest rate in decimal
n is the number of periods per year
t is the number of years
Since the initial amount is $1100, then
P = 1100
Since the interest rate is 5.5%, then
[tex]r=\frac{5.5}{100}=0.055[/tex]r = 0.055
Since the interest is compounded monthly, then
n = 12
Since the time is 2 years, then
t = 2
Substitute them in the rule above to find A
[tex]\begin{gathered} A=1100(1+\frac{0.055}{12})^{12\times2} \\ A=1100(1+\frac{11}{2400})^{24} \\ A=1227.597324 \end{gathered}[/tex]Lydia's return after 2 years is $1227.60 to the nearest cent
Which tables have a lower unit rate than the rate represented in the equation? y=3/5xThe pictures are the answer choices.
The unit rate represented in the equation y = 3/5x is the value multiplying x, that is, the unit rate is 3/5.
In order to find the unit rate of each table, we just need to divide the y-values by the x-values.
So, the unit rate of the first table is:
[tex]\frac{y}{x}=\frac{4}{3}[/tex]The value 4/3 is greater than the value 3/5.
In the second table we have that:
[tex]\frac{y}{x}=\frac{4}{5}[/tex]The value 4/5 is greater than the value 3/5;
In the third table, we have that:
[tex]\frac{y}{x}=\frac{18}{31}[/tex]In order to compare this fraction with 3/5, we need to make them be in the same denominator, so we have to calculate the least common multiple of the denominators.
Since 5 and 31 are prime numbers, the LCM is the product of both numbers.
So we have that:
[tex]\begin{gathered} \frac{18}{31}=\frac{18\cdot5}{31\cdot5}=\frac{90}{155} \\ \\ \frac{3}{5}=\frac{3\cdot31}{5\cdot31}=\frac{93}{155} \end{gathered}[/tex]The number 90/155 is lesser than 93/155, therefore 18/31 is lesser than 3/5, so the answer is the third table.
Bellrose Bank charges a monthly maintenance fee of $17 and a check-writing fee of $0.05 per
check. Last year, Patricia wrote 445 checks from her account at Bellrose. What was the total of all
fees she paid on that account last year?
The amount Patricia paid as fees on on the account last year was $226.25
What makes up the total cost for Patricia?
Patricia pays a fixed monthly maintenance fee of $17 for every month last year, which means that the total annual maintenance fee last year is the monthly maintenance fee multiplied by 12 months, whereas, the annual check-writing fee is the check-writing fee per check multiplied by the number of checks issued last year.
total annual maintenance fee=monthly maintenance fee *12
monthly maintenance fee=$17
total annual maintenance fee=$17*12
total annual maintenance fee=$204.00
annual check-writing fee= check-writing fee per check*number of checks
annual check-writing fee=$0.05*445
annual check-writing fee=$22.25
total fees paid by Patricia last year=$204.00+$22.25
total fees paid by Patricia last year=$226.25
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find the number that makes the ratio equivalent to 3:5._:60
Answer:
36
Explanation:
Given the ratio:
[tex]3\colon5[/tex]Let the number = x
Then:
[tex]\frac{3}{5}=\frac{x}{60}[/tex]Next, solve for x:
[tex]\begin{gathered} 5x=3\times60 \\ x=\frac{3\times60}{5} \\ x=36 \end{gathered}[/tex]Thus, the number that makes the ratio equivalent to 3:5 is 36.
he value of a baseball player's rookie card began to increase once the player retired. When he retired in 1999 his card was worth $7.81. The value has increased by $1.28 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2005? Question content area bottom Part 1 Express the relationship with an equation.
The value of the card in 2005 is $15.49.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
When he retired in 1999 his card was worth $7.81 but the value has increased by $1.28 each year since then.
Therefore, the value of the card in 2005 will be:
y = 7.81 + 1.28x
where x = number of years
From 1999 to 2005 is 6 years. This will be:
= 7.81 + 1.28x
= 7.81 + 1.28(6)
= 7.81 + 7.68
= 15.49
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Using the graph what percentage of college graduates believe their education was useful for helping them grow personally and intellectually, but not useful for helping them develop specific skills and knowledge for the workplace?Write your answer as a percentage
62 + 35 = 97
62 represents the people who think the education helped them grow personally
35 represents the people who somewhat believe it helps them develope specific skills in the work place.
93 in total were interviewed for the "helping them grow personally" question
84 in total for the question that talkings about helping the people develop specific skills and knowlege
93 + 84 = 177
If 97 of those people believe the college degree was useful personally and somewhat useful for learning specific skills, we have to find what is 97 of 177 as a percentage.
[tex]\frac{97}{177}\times100=54.802259887[/tex]54.802259887 rounded is 54.8%
Which means 54.8% of college graduates believe their education was useful for helping them grow personally but not useful for developing specific skills.
martina was interested in how students perceive the health service provided by her university. to collect data on this issue, she interviewed past and present students from her classes. martina has used a random sampling procedure that would be classified as a convenience sample.
martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = upper limit - lower limit /2
Substitute the values into above formula as follows.
= 33-30/2
=1.5
Thus ,we can conclude that Martina's margin of error is 1.5.
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1/6+5252+65+89+12-15-874-85x54-0-059=?
Answer:
719
– ___
6
Step-by-step explanation:
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059
= 1/6 + 4529 - 4590 - 059
= 1/6 + (-120)
= 719
— ___
6
What is the value of this expression
The required simplified value of the given expression is given as 257 / 16. None of the options is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is,
= 2(x + 4) - (y - 8)
According to the question put,
x = 1 / 8 and y = 3 / 16
= 2 (1/8 + 4) - (3/16 - 8)
= 2 (33/8) - (-125 / 16)
= 33 / 4 + 125 / 16
= 132 + 125 / 16
= 257 / 16
Thus, the required simplified value of the given expression is given as 257 / 16.
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The diagram below is divided into equal parts.Which ratio compares the number of shaded to the total number of sections
Ratio compares the number of shaded to the total number of sections is 1/2
Given- diagram
Find- ratio of shaded sections to total number of section
Shaded sections =4
total sections =8
Hence, Shaded sections: total sections.
= 4: 8
=4/8
=1/2
Hence,
1/2
A solid's cross section is a plane figure formed when the solid intersects another plane. As a result, the cross section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented.
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What is the diameter of a circle whose area is 28.3 cm^2
I don't understand this question can someone help me with the answer
The approximate diameter of the circle is 5.77 cm
Given that :
area of circle = 28.3 cm²
How is Area of circle is calculated ?
Area of circle is calculated using formula :
A= πr²
where "π" represents 3.14 and r is radius. So now, according to given information,
Where Pi = 3.14
Hence,
A= πr²
Substitution the value of A in above formula :
28.3 = πr²
28.3 = 3.14r²
r² =28.3/3.14
r² =8.323
√r²=√8.323
r = 2.885
r = 2.885 cm Approximately.
d = 2r
d = 5.77 Approximately.
Therefore, the diameter of the circle is 5.77 cm
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Neville purchases a guitar for $78.44. He has a coupon for 20% off the price. How much does Neville pay for the guitar after using the coupon?
Answer: 62.752
Step-by-step explanation: 78.44$ - 20% = 62.752
PLEASE HELP!!!
Assignment name: Trigonometry, Evaluation of Functions
Hi, can someone help find the GRAPHS that belong to these problems, please! I only need a picture of a graph for each problem that I've attached below :)
1. The θ lies in the 1st and 2nd quadrants of the graph.
2. The θ lies in the 2nd and 3rd quadrants of the graph.
3. The θ lies in the 1st and 3rd quadrants of the graph.
4. The θ lies in the 2nd and 3rd quadrants of the graph.
5. The θ lies in the 1st and 2nd quadrants of the graph.
In the first question, Sinθ = 2/3 and 0°≤θ≤360°.Sinθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.In the second question, Cosθ = -1/2 and 0°≤θ≤360°.Cosθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the third question, Cotθ = 3/4 and 0°≤θ≤360°.Cotθ is positive in the 1st and 3rd quadrants.Thus, θ lies in the 1st and 3rd quadrants of the graph.In the fourth question, Secθ = -13/5 and 0°≤θ≤360°.Secθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the fifth question, Cscθ = 3/2 and 0°≤θ≤360°.Cscθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.To learn more about quadrants, visit :
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The temperature in a town is 38.2 F during the day and -17.2 at night. Find the difference in the temperatures.
Answer:
55.4 °F
Step-by-step explanation:
To find the difference, subtract the 2 values.
38.2-(-17.2)
2 minus signs equal a plus sign, so:
38.2+17.2 = 55.4
Write an expression to
describe the sequence below. Use n to represent the position of a term
in the sequence, where n = 1 for the first term.
5, 6, 7, 8, ...
Answer:
n + 4
Step-by-step explanation:
n is being used to describe the position of a term.
We can see that the sequence is increasing linearly by 1.
Since the position of the next term is increasing linearly by 1, all we have to do is look at the first term and subtract 1 from it to get our constant (4).
An equation to think about this better would be
n + C = S
C is the constant we are solving for.
We know n = 1.
S is the number corresponding in the sequence with n.
1 + C = 5
Subtract 1 from both sides to isolate C.
C = 4
1 + 4 = 5 Checks out
n + 4
You don't need to include the equals sign because the problem asks for an expression which doesn't contain an equals sign unlike an equation.