Steps:
The initial expression is:
\(25-(3x+5)=2(x+8)+x\)Applying the distributive property:
\(\begin{gathered} 25-3x-5=2\cdot x+2\cdot8+x \\ 25-3x-5=2x+16+x \end{gathered}\)Adding like terms:
\(20-3x=3x+16\)Subtracting 16 on both sides of the equation:
\(\begin{gathered} 20-3x-16=3x+16-16 \\ 4-3x=3x \end{gathered}\)Adding 3x on both sides:
\(\begin{gathered} 4-3x+3x=3x+3x \\ 4=6x \end{gathered}\)Dividing by 6:
\(\begin{gathered} \frac{4}{6}=\frac{6x}{6} \\ \frac{2}{3}=x \end{gathered}\)Answer: x = 2/3
1. What is the rate of change(slope) of the following linear equation x-3y = 12?
Answer:
m= 1/3
Step-by-step explanation:
Find the surface area of the square pyramid
Answer:
341 m²Step-by-step explanation:
surface area of a square base pyramid = base area + 4 ( triangular sides area)
where:
base = 11 m
side height length = 10 m
Surface area = 11² + 2(11)10
= 121 + 220
= 341 m²
What is the answer 2/3x -4=-2
Help this is due today!!!!!
Answer:
D
Step-by-step explanation:
-1/2m=-18
m=36
answer is D
Answer:
m = 36
Step-by-step explanation:
\(\frac{1}{3} m+3-\frac{5}{6}m=-15\)
Combine like terms:
\((\frac{1}{3} m+(-\frac{5}{6}m)\)
\((\frac{2}{6} m+(-\frac{5}{6}m)\)
\(-\frac{3}{6}m = -\frac{1}{2} m\)
\(-\frac{1}{2}m+3=-15\)
Subtract 3 from each side:
\(-\frac{1}{2}m=-18\)
Multiply each side by -2:
\(m = 36\)
someone help pleaseeeeeeeeee
Answer:
Farthest left 1 1/3
Step-by-step explanation:
5-4 = 1
Since the denominators are the same, subtract 2 and 1
Please answer I need help
What is 0.4 as a decimal
Answer: 0.40 and 40%
Answer:
40%
Step-by-step explanation:
Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.
Answer:
Step-by-step explanation:
The infinite sum of a geometric sequence is given by the formula:
S = a / (1 - r)
where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:
S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12
Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.
What is the projected growth for this career over the next ten years? faster than average average slower than average little or no change.
According to the O*NET website, the projected growth for most careers over the next ten years is faster than average. so , the correct option is a). Because employment in most occupations is expected to increase by 10% or more over this period.
According to O*NET, all occupations are projected to grow faster than average in the United States from 2020-2030, with employment expected to increase by 10% or more. The projected growth for most careers over the next ten years is faster than average. so , the correct option is a). This projection is based on several factors, including demographic trends, technological advancements, and changes in the economy.
The rapid growth in employment across all occupations presents opportunities for job seekers, particularly in high-growth industries such as healthcare, technology, and renewable energy. However, it also means that competition for certain jobs may be intense. By staying proactive and adaptable, individuals can position themselves for success in a rapidly changing job market.
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____The given question is incomplete, the complete question is given below:
Based on the O'Net website publication, they believed that there will be rapid growth in career growth and that all occupations have been projected to grow faster than average that is employment will increase by 10% or more from 2020-2030 for all United States.
See full options below
faster than average
slower than average
average
little or no change
Please help!!! All these need to be simplified
The last one has an option for not being able to be simplified!!!
Simplify:
6x + 4x
3x + 5x - 2
10 + 4x + 2x -6
Tom and John are engaged in buying and selling certain products A and B. Tom BUYS 5 of product A but
SELLS twice as much of product B. John on the other hand SELLS three times what Tom BOUGHT of
product A and BUYS 13 of product B. At the end of the business day, John banks Ksh 110,000/- while
Tom banks Ksh 230,000.
Under the assumption that the sale prices for product A and B are the same for the two men, and the
costs prices for the products A and B are also the same for the two men, obtain the following:
a) The price for product A and the price for product B (5 marks)
b) If there was a mark up of 25% on the cost price and a discount of 15% on the sale price, how
much would each of the partners have banked at the end of the business day? (10 marks)
Answer:Let's assume that the cost price for both products A and B is "C", and the selling price for both products A and B is "S". We can use this information to set up two equations, one for Tom and one for John, that relate the costs and profits for the two products:
Tom: 5C - 2(5S) = P1
John: 3(5C) - 13C = P2
where P1 and P2 are the profits made by Tom and John, respectively.
We know that at the end of the business day, John banks Ksh 110,000/- while Tom banks Ksh
230,000. So we can write:
P1 = 230,000 - 5C
P2 = 110,000 - 18C
Substituting these values into the equations for Tom and John, we get:
5C - 2(5S) = 230.000 - 5C
Simplifying these equations, we get:
10C - 10S = 230,000
2C = 110,000
Solving for C, we get:
C = 55,000
Substituting this value back into the first equation, we can solve for S:
10(55,000) - 10S = 230,000
Simplifying this equation, we get:
S = 32,000
Therefore, the price for product A is Ksh 55,000 and the price for product B is Ksh 32,000.
Step-by-step explanation:
Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).What is the letter for these 2
Answer:
1.) Sin= Sine=opposite/hypotenuse
2.) Tan = well...Tan=opposite/adjecent
Step-by-step explanation:
Soooo, 1.) B
2.) C
sorry if this isn't the answer you're looking for
PLEASE ANSWER ASAP!!!! (and actually answer the question, no begging for "brainliest")
Lorenzo needs a total of $325 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Lorenzo have to deliver papers to have enough money to buy the bicycle?
_________________ weeks
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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Find that the radius of curvature of ^2y=x^3-a^3
at the point where the
curves cut the X-axis.
The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).
To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.
When the curve intersects the x-axis, y=0. Therefore, we have:
a⁰ = x³ - a³
x³ = a³
x = a
Next, we need to find the derivative of y with respect to x:
dy/dx = -2x/(3a²√(x³-a³))
At the point where x=a and y=0, we have:
dy/dx = -2a/(3a²√(a³-a³)) = 0
Therefore, the radius of curvature is given by:
R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)
To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:
d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))
At x=a, we have:
d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³
Therefore, the radius of curvature is:
R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)
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ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?
Which expression is the coefficient of the n term -1
Answer:
C. -2n² - n + 5
Step-by-step explanation:
In expression C, the coefficient of the n term is -1;
The expression in choice C is given as:
-2n² - n + 5
The coefficient is the number before a variable;
For n², the coefficient is -2
for n, the coefficient is -1
Solve for x. 4x + 3 < 9
Answer:
\(x < \frac{3}{2} \\ \)
Step-by-step explanation:
\(4x + 3 < 9 \\ 4x < 9 - 3 \\ 4x < 6 \\ \frac{4x}{4} < \frac{6}{4} \\ x < \frac{3}{2} \)
hope this helps
brainliest appreciated
good luck! have a nice day!
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .
What is a bell curve known for ?Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.
This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .
The rough sketch of the curve having the bell shape is shown attached to the question.
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Help
Solve.
(3√3)^−x+1=1/3⋅27^x−5
Answer: 35/9
Step-by-step explanation:
\((3\sqrt{3})^{-x+1}=\frac{1}{3} \cdot 27^{x-5}\\\\3^{1.5(-x+1)}=3^{-1} 3^{3(x-5)}\\\\1.5(-x+1)=-1+3(x-5)\\\\-1.5x+1.5=-1+3x-15\\\\-1.5x+1.5=3x-16\\\\-3x+3=6x-32\\\\3=9x-32\\\\9x=35\\\\x=\frac{35}{9}\)
Find the measure of the indicated angles.
complementary angles with measures 2x - 2 and 5x – 13
Answer:
1st angle is 28° and the 2nd angle is 62°
Step-by-step explanation:
Complementary angles mean that the angles add up to 90 so:
2x - 2 + 5x - 13 = 90
7x - 15 = 90
7x = 90 + 15
7x = 105
x = 15
Plugging in:
2x - 2
2(15) - 2
30 - 2
28
5x - 13
5(15) - 13
75 - 13
62
I ate 80 pieces of candy in the bag. If I ate 2/3 pieces of candy in the bag, how much candy would I have left
Answer:
\(thank \: you\)
The number of candies left in the bag is given by the equation n = 40 candies
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as n
Now , the value of A is
The number of candies which were eaten = 80 candies
The fraction of candies that were eaten = 2/3
So , ( 2/3 ) of the total = 80
( 2/3 )A = 80
Multiply by 3 on both sides , we get
2A = 240
Divide by 2 on both sides , we get
A = 120 candies
Now , the number of candies that were left n = total number of candies - number of candies that were eaten
On simplifying the equation , we get
The number of candies that were left n = 120 - 80
The number of candies that were left n = 40 candies
Hence , the number of candies that are left is 40 candies
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5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
what is 25% of 30? pls help me
Answer:
7.5
Step-by-step explanation:
please mark as brainliest
help me plz with this 50 points if right
Answer:
18 units.
Step-by-step explanation:
If you plot the points on a graph then you can clearly see where point D goes, (-2, 3). Then, you can find the side length, which is 4.5 units. Multiply that by 4 and you get 18 units.
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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