Answer:
[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]
hope helpful ~
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]
[tex]2x + 60 = 9x - 24[/tex]
[tex]60 + 24 = 9x - 2x[/tex]
[tex]84 = 7x[/tex]
[tex]x = 12[/tex]
I hope it will be helpful
Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar
Using a geometric sequence, it is found that:
a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].
b) The value of her collection 9 years after she started tracking is of $94,557,148.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].
In two years, the collection was valued at $1,102,500, hence the common ratio is:
[tex]q^2 = \frac{1,102,500}{250,000}[/tex]
[tex]q^2 = 4.41[/tex]
[tex]q = \sqrt{4.41} = 2.1[/tex].
Hence, the explicit formula is:
[tex]a_n = 250000(2.1)^{n-1}[/tex]
Item b:
[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]
The value of her collection 9 years after she started tracking is of $94,557,148.
More can be learned about geometric sequences at https://brainly.com/question/11847927
A party tent is used for an outdoor event. Ropes of equal length
support each tent pole. The angle the rope makes with the floor is
55
What is the height of each pole?
28 ft
Enter your answer in the box. Round only your final answer to the
nearest tenth
Answer:
22.9
Step-by-step explanation:
Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.
A boat travels 345km in 24 hrs. How long will it take to complete 300 km
Answer:
20.87 hours
Step-by-step explanation:
Speed = distance/ time
We need to find the speed of the boat which is ...
s = 345/24
s = 14.374km/hour
so to find how long it takes to travel 300 km we....
time = distance/speed
t = 300/14.375
=20.869
= 20.87
NEED HELP ASAP GEOMETRY
Answer:
BBCADD that is the awnser
Step-by-step explanation:
or a triangle XD
How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?
Answer:
135 miles in 3 hours, or 45 miles an hour
Step-by-step explanation:
well, if it travels 90 miles in 2 hours, than how many does it do in one?
90m/2h=45 miles in ONE hour.
Given that info, we can solve for 3 hours.
If ONE hour is 45, then THREE hours is just 45*3=135
135 miles in 3 hours, or 45 miles an hour
Answer:
90 miles in 2 hours
45 miles per hour
135 miles in 3 hours
Step-by-step explanation:
Bro come on simple maths
Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
After 3 years, Dakota will have $674.09 total.
Number 11 instructions are to simplify
Answer:
a/(a-4)
Step-by-step explanation:
Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.
___
[tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]
Does anyone know what type of angle this is?
Answer:
SUPPLEMENTARY ANGLES
(ADJACENT ANGLES).
Step-by-step explanation:
< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m < = 180 degrees. So they are supplementary angles also.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
An=A(n-1)-4 where A=7
Step-by-step explanation:
Can someone help me with B and D, i’ll give branliest! :)
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d
The consumer will pay $31.91 as an interest.
Initial balance = $2,530.16
Daily interest rate = 0.042%
What is simple interest?Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments
So, balance at the end of the first day = 2530*(1.00042)¹
balance at the end of the second day = 2530*(1.00042)²
Similarly, balance at the end of the 30th day = 2530*(1.00042)³⁰
Balance at the end of the 30th day = $2562.07291
So, interest levied = $2562.07291 - $2,530.16
Interest levied = $31.91
Therefore, the consumer will pay $31.91 as an interest.
To get more about simple interests visit:
https://brainly.com/question/2294792
10)Find the mean of the following data?
0 1 2 3 4 5 6 7
Answer:
3.5
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
1/2
Cameron made :
[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]
[tex]\sf \hookrightarrow 64 \ cookies[/tex]
Lindsey made :
16 cookiesTogether:
16 + 64 = 80 cookiesLeft to make:
(160-80)/1601/2Total made:-
16+2/5(160)16+2(32)16+6480cookiesCookies left:-
160-80=80Fraction:-
80/1601/2simplify (2^3)^-2
urgent need for answers
Answer:
0.015625Step-by-step explanation:
I would REALLY try to explain, but I can't find any explanation.
If this is my best, give other person brainliest.
Answer:
Exact form would be 1/64
Decimal form would be 0.015625
Step-by-step explanation:
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.
What number is one thousand less than one million?
Answer:
999,000
Step-by-step explanation:
We need to find the number that is one thousand (1,000) less than one million (1,000,000).
less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000Answer:
999000
Step-by-step explanation:
1 million - 1000 or 1 million less is 100,000
I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!
The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Draw a rhombus with the diagonals.
4 right triangles are formed.
The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).
The diagonals of a rhombus bisect each other. This means that they cut each other in half.
So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the
rhombus).
Triangle 1. ABC
side a = 2.5, side b = 1
tan A = a/b = 2.5/1 = 2.5
tan A = 2.5
tan 68.2 deg = 2.5
Since, angle C = 90 and angle A = 68.2
angle B = 21.8 deg. (180 - (90 + 68.2))
Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.
Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.
Therefore, the opposite corners are
180 - 136.4 = 43.6 and
180 - 43.6 = 136.4.
So, the four angles are,
136.4, 43.6, 136.4, and 43.6----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"
B.B.King
Thanks!
Have a great day!
Mark me brainliest too!
~ms115~
Would I do 12 time 4.5?? Someone please help
Answer:
96
Step-by-step explanation:
Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because
a
the sample sizes for the two groups are not equal.
b
the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
c
age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
d
age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
e
age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid
Answer:
B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
Step-by-step explanation:
Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.
Therefore, option D is the correct answer.
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ2
Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.
Learn more about formats in: https://brainly.com/question/11523374
(5.1)*x=(0.51)*y=1000,find the value of 1/x-1/y
Answer: 0.00459
Step-by-step explanation:
HELP PLS I'LL GIVE BRAINLEIST
Area of the triangle
1/2BH1/2(10+50)(20)10(60)600ft²Area of rectangle:-
50(20)1000ft²Area of semicircle
π(20/2)²/2π(10²)/2100πft²/2314ft²/2157ft²Total:-
157+1000+600=1757ft²Answer:
1757 ft²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Add the area of the rectangle, the area of the triangle, and the area of the semicircle.
Area of the rectangle:
= 20 x 50
= 1000 ft²
Area of the triangle:
= 1/2 x (10 + 50) x 20
= 1/2 x 60 x 20
= 30 x 20
= 600 ft²
Area of the semicircle:
= 1/2 π(20 ÷ 2)²
= 1/2 · 3.14 · 10²
= 1/2 · 3.14 · 100
= 157 ft²
Shaded area:
= area of rectangle + area of triangle + area of semicircle
= 1000 + 600 + 157
= 1757 ft²
Answer number 9 please.
Answer:
165 cm³
Step-by-step explanation:
330 cm³ × 1/2 = 165 cm³
i need help with this i will give you 100 points
Answer:
10
Step-by-step explanation:
First we figure out the area of the triangle!
8 x 6 = 48
48/2 = 24
Now we multiply to figure out the area of the rectangle :)
24 x 5 = 120
Now we divide 120 by 12 to figure out the width!!
120/12 = 10
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
10
Step-by-step explanation:
area of triangle = 1/2 x 8 x 6 = 24
area of rectangle = 5 x 24= 120
area of rectangle = length x width
120 = 12 x w
w = 10
Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
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14
>
Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f and g representing the approximate number of viewers, in millions, x weeks after the tracking begins.
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
answer this correctly for brainiest
12x−3<−138
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
please help with these 4 questions
We use the BODMAS method to solve the given questions.
Solve the Bracket then Divide Multiply Add and Subtract
1. 32÷4×(16×1/2) - 2
= 32÷4 × ( 8 ) - 2
= 8 × 8 - 2 = 64 - 2 = 62
2. 20 ÷ (5×2/5) + 3
= 20 ÷ (2) + 3 = 20 ÷ 2 + 3
= 10 + 3 = 13
3. 1/2 ×(6×4) ÷ 3 + 2
= 1/2 × 24 ÷ 3 + 2
= 1/2 × 8 + 2
= 4 + 2 = 6
4. 2 (6÷2+8) - 4
= 2 (3+8) - 4
= 2 × 11 - 4
= 22 - 4
= 18
Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
Let the number be x
when it is 8less than 4times the x the inequality equation we get is:
4x-8<56 (since it says it's less than 56)
4x<56+8
4x<64
x<64÷4
x<16
the possible values are all numbers less than 16
Which Line has The Greater Slope
1
2
3
4