The sides of a triangle measure 2x+52x+5, x-4x−4, and 3\left(2x+1\right)3(2x+1). What is the perimeter of the triangle?
Answers
The expression for the perimeter is given as 9x + 4.
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The sides of the given triangle are 2x + 5, x - 4 and 3(2x + 1) respectively.
Since, the perimeter is given as the sum of all the sides of a polygon.
In case of triangle, there are three sides which implies its perimeter will be the sum of all of its three sides given as,
Perimeter = 2x + 5 + x - 4 + 3(2x + 1)
⇒ 2x + x + 6x + 5 - 4 + 3
⇒ 9x + 4
Hence, the perimeter of the triangle is given as 9x + 4 units.
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Related Questions
Someone find x !!!!!!
Answers
15.25
16.90
those should be right
Your company requires its employees to work between 10 a.m. and 3 p.m. each day, but employees can decide whether they will work their additional hours before or after this time period. What is this arrangement called in your textbook
Answers
In the textbook, this arrangement is referred to as "flextime" or "flexible working hours."
Flextime is a work arrangement that allows employees to have control over their work schedule within certain core hours. In this case, the core hours are between 10 a.m. and 3 p.m., during which all employees are required to be present at work. However, employees have the flexibility to choose their additional working hours either before or after the core hours.
Flextime offers employees the freedom to adjust their work schedule to accommodate personal obligations, preferences, or other commitments outside of work. It recognizes that individuals have different peak productivity hours and work-life balance needs. By allowing employees to choose their additional working hours, it promotes autonomy and can contribute to increased job satisfaction and work-life integration.
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How to convert teaspoons to ml
Answers
To convert 1 teaspoon to 1 ml multiply the volume by the conversion ratio of 4.928922.
Add the volume to the conversion ratio to convert a teaspoon measurement to a millilitre measurement.
You may convert between teaspoons and milliliters using the following straightforward formula:
tablespoons in milliliters = 4.928922
One-third of a tablespoon's volume is represented by a teaspoon. [1] Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.
The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.
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6x+13+2x+10+4x+4
Is this a one, many, or no solution?
Answers
Answer:
No solution.
Step-by-step explanation:
It only leads into another equation, that being \(3(4x+9)\). And if you try solving that, you'll just get \(12x + 27\) again. Therefore, there is no visible solution to this problem.
Which question is best modeled with a division expression?
How far can you travel using Three-fourths gallon of gas in a car that gets 18 miles per gallon?
How far can you travel in a car driving at an average rate of 52 miles per hour for Three-fourths hour?
How fast are you driving, in miles per hour, if you travel 18 miles in Three-fourths hour?
How fast are you driving if you travel at Three-fourths the speed of a car moving at 52 miles per hour?
Answers
Answer:
How fast are you driving, in miles per hour, if you travel 18 miles in 3/4 hour?
Step-by-step explanation:
I have just taken the quiz and its correct.
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s t)(-7)? A. -439 B. -141 C. 153 D. 443 please answer quick this test is timed!
Answers
We're trying to find \(s(t(-7))\).
\(t(-7)=3(-7)\)
\(t(-7)=-21\)
\(s(-21)=2-(-21)^2\)
\(s(-21)=2-441\)
\(s(-21)=-439\)
Hope this helps.
頑張って!
The temperature outside changed from 94°F to 46°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answers
Answer:
6°F
Step-by-step explanation:
First, subtract 46 from 94 (94-46) and you will get 48.
Then, divide 48÷8 (because the time period is 8 days) and you will get 6.
Therefore, the daily temperature change is 6°F.
two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.
Answers
Using the triangle inequality theorem the range of measures of the third side is 5 < x < 41
How to find the third side of the triangle?The triangle inequality theorem states that any side of a triangle must be shorter than the other two sides added together.
In other words, the triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Therefore, for a triangle that has the sides a, b and c will follow the principle below:
c < a + b
b < a + c
a < b + c
Therefore, the triangle has two sides as 18 ft and 23 ft. The range of the third side is as follows:
x < 23 + 18; x < 41
18 < 23 + x
23 < x + 18
Therefore, base on the first and third inequality.
x < 41
x > 5
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Solve.
4 x + 6 < − 6
Thankyou In advance :>
Answers
Answer:
x < -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
\(4x + 6 - 6 < -6 - 6\) \(4x < -12\)Step 2: Divide both sides by 4.
\(\frac{4x}{4} < \frac{-12}{4}\) \(x < -3\)Therefore, the answer is x < -3.
find the total surface area of this cone. leave your answer in terms of pi. the slanted height is 15 and radius is 12
Answers
Answer:
324π
Step-by-step explanation:
Total Surface Area of a cone =πrl+πr²
πx 12 x 15 + π x (12²)
180π + 144π = 324π
Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
\(\frac{5-3}{-3-1}\) = \(\frac{2}{-4}\) = \(\frac{1}{-2}\)
Perpendicular slopes are the opposite reciprocals . So the slope of the line will be 2
slope (m) = 2
y = 3 You could use either point given. I chose (1,3)
x = 1 From the point given (1,3)
y = mx + b substitute in what you know and solve for b
3 = (2)(1) + b
3 = 2 + b Subtract 2 from both sides
1 = b
The y-intercept is 1.
y = mx + b
y = 2x + 1
Two men, Mike and Jack, and two women, Adele and Edna, each like a different type of music. Their last
names are Mullin, Hardaway, Richmond and Higgins and one of them likes jazz. Use the clues to find each
person’s full name and favorite type of music.
1. Hardaway hates country music.
2. The classical music lover said she’d teach Higgins to play the piano.
3. Adele and Richmond knew the country music fan in high school.
4. Jack and the man who likes rock music work in the same office building.
5. Richmond and Higgins are on the same womens only bowling team.
Answers
Mike Mullin likes rock music, Jack Hardaway likes jazz music, Adele Richmond likes country music, Edna Higgins likes classical music.
What is combinations?Combinations, are the arrangements of objects where order does not matter. A combination is a selection of objects from a set, without regard to the order in which they are selected.
Let's start all the possible combinations of favorite music types and last names:
Jazz: Mullin, Hardaway, Richmond, Higgins
Classical: Mullin, Hardaway, Richmond, Higgins
Country: Mullin, Richmond, Higgins, Hardaway
Rock: Mullin, Richmond, Higgins, Hardaway
Now let's use the clues to eliminate some of these possibilities and determine each person's full name and favorite type of music:
1. Hardaway hates country music, so he can't be the country music fan. Therefore, Mullin and Higgins are the only possibilities for the country music fan.
2. The classical music lover said she’d teach Higgins to play the piano, so Higgins must be the classical music lover.
3. Adele and Richmond knew the country music fan in high school, so Richmond must be the country music fan (since Higgins is already accounted for and Mullin and Hardaway aren't options).
4. Jack and the man who likes rock music work in the same office building. This means Mullin must like rock music, since he's the only one left who hasn't been assigned a music type yet.
5. Richmond and Higgins are on the same women only bowling team. This means Adele must be the jazz music fan, since she's the only one left who hasn't been assigned a music type yet.
Therefore, I can conclude:
Mike Mullin likes rock music
Jack Hardaway likes jazz music
Adele Richmond likes country music
Edna Higgins likes classical music.
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it always tells me i have to put 20 characters but i really need help
Answers
Answer:
B
Step-by-step explanation:
25/100 is 25%.
The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing
Answers
Answer:
32%
Step-by-step explanation:
\(\frac{1088}{3400}\)=\(\frac{x}{100}\)
(1088)(100)=(3400)(x)
108800=3400x
x=32
32%
The percent of the budget spent on housing is 31.76%.
What is percentage?
Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.
Given that, The riddle family income is 3400 per month.
They spend 1088 per month on housing.
We know the formula for percentage which is;
Percentage = (given value/whole value)*100,
Percentage = (1080/3400)*100
Percentage = 31.76
Hence, The percentage is 31.76%.
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Find the sum of the first 40 terms of an arithmetic progression with first
term equal to 6 and second term equal to 16.
Answers
The sum of the first 40 terms of the arithmetic progression with first term 6 and second term 16 is 8040.
To find the sum of an arithmetic progression, we can use the formula for the sum of an arithmetic series, which is given by Sn = (n/2)(2a + (n-1)d), where Sn is the sum, a is the first term, n is the number of terms, and d is the common difference.
In this case, the first term (a) is 6 and the second term is 16. We can determine the common difference (d) by subtracting the first term from the second term: 16 - 6 = 10.
Plugging these values into the formula, we have Sn = (40/2)(2(6) + (40-1)(10)), which simplifies to Sn = 20(12 + 39(10)).
Evaluating the expression, we get Sn = 20(12 + 390) = 20(402) = 8,040.
Therefore, the sum of the first 40 terms of the arithmetic progression is 8,040.
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Please show work for problem
Answers
Coin Flip: heads or tails — 2 possible options
So, you multiply 10 (# generator) by 2 (coin flip possibilities)
As a ratio, 1:20
As a percentage, 5%
Hope this helps! If you found my answer helpful, please mark brainliest!
Suppose there are 500 accounts in a population. You sample 50 of them and find a sample mean of $500. What would be your estimate for the population total
Answers
To estimate the population total, we can use the formula:
Population Total = Sample Mean x Population Size
Where the sample mean is the mean of the sample and the population size is the total number of accounts in the population.
Given:
Sample size (n) = 50
Sample mean = $500
Population size = 500
Using the formula, we get:
Population Total = Sample Mean x Population Size
Population Total = $500 x 500
Population Total = $250,000
Therefore, the estimate for the population total is $250,000.
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The angle measurements in the diagram are represented by the following expressions.
Answers
The angle measurements of angle B as represented in the diagram shown is 150°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
∠A = ∠B (alternate interior angles)
Hence:
8x - 10 = 3x + 90
x = 20
∠B = 3(20) + 90 = 150°
The angle measurements of angle B as represented in the diagram shown is 150°
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3. Which equation represents the horizontal line that passes through the point (2, 3)?
A. y = 2
B. x = 2
C. y = 3
D. x = 3
Answers
3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work
Answers
Answer:
X = -1
Step-by-step explanation:
3(x - 4) + 6 = 5(x - 1) + 1 -distribute
3x - 12 + 6 = 5x - 5 + 1 -combine like terms
3x - 6 = 5x - 4 -subtract 3x
-6 = 2x - 4 -add 4
-2 = 2x -divide by 2
-1 = x
Hope this helps. Pls give brainliest.
Answer:
x= -1
Step-by-step explanation:
open brackets and calculate
3x - 12 + 6 = 5x -5 + 1
Calculate
3x - 6 = 5x - 4
transpose
3x - 5x = - 4 + 6
Calculate
- 2x = 2
x= 2/-2
x= -1
1hr 35mins + 60minutes + 61 minutes + 20minutes + 55minutes =
Answers
Answer:
4.85 hours
Step-by-step explanation:
(1 hr 35 minutes) + (60 minutes) + (61 minutes) + (20 minutes) + (55 minutes) =
4.85 hours
what is this answer5+(−4)=
Answers
Answer:
Hello!
____________________
5+(−4)= 1
Step-by-step explanation: Simplify the expression.
Hope this helped you!
Answer:
5+(-4)=1
Step-by-step explanation:
The Mountain States Office of State Farm Insurance Company reports that approximately 82% of all automobile damage liability claims were made by people under 25 years of age. A random sample of seven automobile insurance liability claims is under study. For samples of size 7, what is the expected number of claims made by people under 25 years of age
Answers
The expected number of claims made by people under 25 years of age is 5.74.
For this problem, we can use the binomial distribution which states that the probability of success (p) is equal to the proportion of people under 25 making claims (82%) and the probability of failure (q) is equal to the proportion of people over 25 making claims (1 - 82% = 18%).
The expected number of claims made by people under 25 is equal to the total sample size (7) times the proportion of people under 25 making claims (0.82) so the expected number of claims made by people under 25 is 7×0.82 = 5.74.
Hence, the expected number of claims made by people under 25 years of age is 5.74.
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the two lines y+7x=14 and y+5=-7x are:
a)parallel
b)perpendicular
c)neither
Answers
Answer:
(a)parallel
Step-by-step explanation:
they have the same slope so they're parallel
Please help thanks!
Answers
Answer:
10
Step-by-step explanation:
=13+ 3^3 ÷9 we can change it to:
=13+ 3^3/-9
3^3 can be changed to 27
13+ 27/9
=13+−3
=10
An animal shelter conducts an annual fundraising drive. The animal shelter must raise enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donation of $680 per week. Write an equation that can be used to find w, the number of weeks the shelter needs to raise enough money to clear their expenses (non-profit)
Answers
Step-by-step explanation:
125+680w>2,500+450w
It takes Logan 3/10 of an hour to complete 1 lap.
How many laps will he complete 2/3 of an hour.
Answers
Answer:
20/9 laps
Step-by-step explanation:
convert everything to minutes to make things a little easier
3/10 of an hour = 1/10 of an hour (6 minutes) * 3 = 18 minutes
2/3 of an hour = 1/3 of an hour (20 minutes) * 2 = 40 minutes
18 minutes = 1 lap
40 minutes = ? laps
multiply the first equation by 40/18 to get 40 minutes on the left sides
40 minutes = 40/18 laps = 20/9 laps
A leaky toilet in Mr. Walker's house increases his water bill by $2.14 each day. The toilet leaks for 19 days in April and all 31 days of May before he fixes the leaky toilet. How much did the leaky toilet increase Mr. Walker's water bills in total?
Answers
Answer:
$107
Step-by-step explanation:
Add 19 and 31 together and you get 50. Multiple the 50 days by the amount it goes up each day which is 2.14 and you get $107. Hope this helps!
The amounts of food waste generated in a region during two years were 37,500,000 tons and 30,400,000 tons. What was the total food waste generated over these two years in the region, expressed in scientific notation?
A. 67.9 ⋅ 1014 tons
B. 6.79 ⋅ 107 tons
C. 67.9 ⋅ 107 tons
D. 6.79 ⋅ 1014 tons
Answers
Answer:
6.79 ⋅ 107
Step-by-step explanation:
What is the area of this triangle in the coordinate plane?
6 units²
8 units²
24 units²
48 units²
