Let's call the middle of the three consecutive integers x. Since the integers are consecutive, we know that the other two integers are x-1 and x+1.
We also know that the sum of the three integers is -51. So, we can set up the equation:
x + (x-1) + (x+1) = -51
Simplifying this equation we have:
3x = -51
Therefore:
x = -51/3
The middle of the three consecutive integers is -17
I hope this helps :)
Make the proportional relationship
Answer:
see explanation
Step-by-step explanation:
a proportional relationship has equation
y = kx ← k is the constant of proportion
using the ordered pair (2, 3 ) from the table , then
3 = 2k ( divide both sides by 2 )
1.5 = k
y = 1.5x ← equation of proportion
when x = 14 , then
y = 1.5 × 14 = 21
table is then
x | 0 2 8 14
y | 0 3 12 21
im not quite sure what this is6(x+4)+1
The answer would be 6x+25.
For this, we have to use the Distributive Property, which allows us to multiply the numbers inside of the parenthesis.
-----------------------------------------------------------------------------
So you would do 6•x which equals 6x. And then do 6•4 which equals 24. Your equation currently should be 6x+24+1. Lastly, add 24 and 1 to get your final answer of 6x+25.
I hope this helped :)
Answer:
6x + 25
Step-by-step explanation:
im not quite sure what this is6(x+4)+1
6(x + 4) + 1 (6*x = 6x and 6 * 4 = 24)
6x + 24 + 1
6x + 25
Perimeter: 80 meters
Answer:
Nice
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!!!!!!!
The first option 3² × 5 × 7 is the correct option to show the prime factorization of 315 in exponential notation.
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.
The 1st five prime numbers includes: 2, 3, 5, and 7. We shall divide the number 315 with prime numbers that are factors beginning with 3;
315/3 = 105
105/3 = 35
3 is not a factor of 35, the next prime number 5 is, so;
35/5 = 7
3 is not a factor of 7 the next prime number 7 is, so;
7/7 = 1
Therefore, the number 315 expressed as product of its prime factors in exponential notation is 315 = 3² × 5 × 7.
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Classify each decreasing function as having a slope that is steeper or less steep than the slope of the function represented in this graph. y = - 4 3 x + 2 3 y = - 3 2 x + 1 2 y = - 2 x + 7 3 y = - 7 4 x + 3 2 y = - 8 7 x + 4 7
To compare the steepness of the slopes of different lines, we need to compare the absolute value of the coefficient of the x-term (the number in front of x) in each equation. A larger coefficient of x means a steeper slope, while a smaller coefficient of x means a less steep slope.
y = - 4 3 x + 2 3
The coefficient of x in this equation is - 4 3, this function has a steeper slope than the function y = - 3 2 x + 1 2
y = - 3 2 x + 1 2
The coefficient of x in this equation is - 3 2, this function has a steeper slope than the function y = - 2 x + 7 3
y = - 2 x + 7 3
The coefficient of x in this equation is - 2, this function has a steeper slope than the function y = - 7 4 x + 3 2
y = - 7 4 x + 3 2
The coefficient of x in this equation is - 7 4, this function has a steeper slope than the function y = - 8 7 x + 4 7
y = - 8 7 x + 4 7
The coefficient of x in this equation is - 8 7, this function has the least steep slope of all the functions.
So the order of the functions from steepest to least steep is: y = - 4 3 x + 2 3 , y = - 3 2 x + 1 2, y = - 2 x + 7 3, y = - 7 4 x + 3 2 , y = - 8 7 x + 4 7
in one week, a music store sold 9 guitars for a total of $3611. electric guitars sold for $479 each and acoustic guitars sold for $339 each. how many of each type of guitar were sold?
part a: define the variables
part b: write a system of equations to represent the situation
part c: solve the system to find how many of each type of guitar were sold
At the electric store, 4 electric guitars and 5 acoustic guitars were sold
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Let x represent the number of electric guitars and y represent the acoustic guitars.
electric guitars sold for $479 each and acoustic guitars sold for $339 each. in one week, a music store sold 9 guitars for a total of $3611, hence:
x + y = 9 (1)
Also:
479x + 339y = 3611 (2)
From both equations:
x = 4, y = 5
4 electric guitars and 5 acoustic guitars were sold
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Use the drawing tools to form the correct answer on the provided graph Consider the piecewise function f(x) {3, x<_-3. 2x + 1, -3 < x < 4. -22, x _> 4
The graph for the given piecewise function is as provided in image.
What is piecewise function?
A piecewise function is a function f(x) which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so. We know that an absolute value function is f(x) = |x| and it is defined as:
f(x)=(x if x≥0 ,
-x if x><0)
We should read this piecewise function as
f(x) is equal to x when x is greater than or equal to 0 and
f(x) is equal to -x when x is lesser than 0.
Given piecewise function
f(x) {3 if x<_-3
2x + 1 if -3 < x < 4
-22 if x > 4
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Integers and rational numbers
(Picture attached)
People can be represented by the signed number -28,000.
A car corporation represented by the signed number 1720.
How can the population decrease of a city be represented using a signed number?Population decrease refers to a decline in the number of individuals in a population over a given period of time. It can be caused by factors such as death, migration, and low birth rates.The population of a certain city decreased by 28,000 people can be represented by the signed number -28,000. The negative sign indicates that the population decreased, while the number 28,000 represents the magnitude of the decrease.A car corporation produced 1720 more cars this month than last can be represented by the signed number 1720.The positive sign indicates that the production increased, while the number 1720 represents the magnitude of the increase.To learn more about population refer:
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A
Chapter 7
Chapter 13
Chapter 11
allows sole proprietors the option to repay debt
allows businesses to sell off assets to repay debt
provides the option to restructure and
continue business operations
Reset
Next
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
what is variations ?A relationship exists between a set of values for one variable and a set of values for another variable. directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b . Equations used to express the connection between two variables in a sentence convey the variation between those variables. Direct, inverse, joint, and combination variations are a few types of variation.
Here,
Given :
Businesses frequently choose to file for bankruptcy under Chapter 7 or Chapter 11, respectively.
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
Large corporations use Chapter 11 to reorganize their debts and carry on with operations. If a chapter 7 bankruptcy is filed, corporations, partnerships, and limited liability firms cannot restructure under chapter 13 and must stop operating.
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The complete question is "In a sole proprietor ownership, if business assets are not enough to pay business debts, then personal assets, such as the sole proprietor's house, personal investments, and retirement plans can be used to pay the debt. This is called ?"
Question
Baskets of tomatoes cost $5 each and bags of onions cost $4 each. A customer purchases x baskets of tomatoes and y bags of onions.
What does the expression 5x + 4y represent?
Responses
Answer: The expression 5x + 4y represents the total cost of the purchase for x baskets of tomatoes and y bags of onions. The 5x term represents the cost of the tomatoes (5 dollars per basket) and the 4y term represents the cost of the onions (4 dollars per bag). The sum of these two terms represents the total cost of the purchase.
Step-by-step explanation:
Answer: 5 x represents that a customer has to pay 5 dollars for x bags of tomatoes and 4 y represents a customer has to pay 4 bags dollars for y bags of onions
Step-by-step explanation: since a customer wants to purchase x or y bags of something we can plug in the cost to see that that is what they represent
For charity art exhibition, Jaime gave 12 paintings, Rob gave 8 and Fernando gave 5. a Write the numbers of paintings as a ratio. b What proportion of the paintings did each give?
Answer:
Jaime 12:25Rob 8:25 Fernando: 5:25Step-by-step explanation:
You have to add all of the number up to get the whole amount and then put in how much they each gave. Hope this helps :))
ashley had 25 hair clips. 7 of them were blue and the rest were purple. what percent of the hair clips were purple. 28% is blue, and 72% is purple.
The clips are 28% blue and 72% purple.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Ashley had 25 hair clips.
7 of them were blue.
Let n be the percentage of blue clips.
7 = n x 25/100
n = 700/25
n = 28%.
And the rest were purple.
That means,
100 - 28 = 78%.
Therefore, 28% is blue, and 72% is purple.
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Baylee found the sweater she had been looking for on sale for 35% off. The original price of the sweater was $60. What is the sale price of the sweater now? Enter response here.
The sale price of the sweater now is, $39
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Baylee found the sweater she had been looking for on sale for 35% off.
And, The original price of the sweater was $60.
Here, WE have;
Original price of sweater = $60
Sale = 35%
Hence, The sale price is,
⇒ Sale price = $60 - 35% of 60
= $60 - 35/100 × 60
= $60 - $21
= $39
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Is the relation a function
The relation illustrates the connection between input and output. On the other hand, a function is a relation that produces one OUTPUT for every given INPUT.
Why does a relation differ from a function?A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.
Are all relationships functions?Functions: A function is a relation that describes a set of inputs and a set of outputs. In operation, Exactly one output from each input in set X exists in set Y. Not all functions are relations, despite the fact that all relations are functions.
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eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeek
Answer:
OOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFF
Step-by-step explanation:
Answer: Same. eeeeeeeeeeeeeeeeeeeeeeeeek
An isosceles triangle has base angles that each measure 49,
Which equation can be used to find b, the measure of the third angle of this isosceles triangle in degrees?
O 49 + 6-180
O98b-180
O49+2b-180
O98-2b-180
The third angle is 82 degrees.
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Here, we have
Given:
Two base angles are 49 degrees.
and the third angle is x.
Using Angle Sum property
x + 49 + 49 = 180
x + 98 = 180
x = 180 - 98
x = 82
Hence, the third angle is 82 degrees.
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what is the answer to 2x3
Answer: 6
Step-by-step explanation:
The axis of symmetry for y=|x-5|-1
Reason:
The equation is in the format of
y = a|x - h| + k
where in this case,
a = 1h = 5k = -1The vertex is located at (h,k) = (5,-1)
The axis of symmetry is x = 5 since it is a vertical line that passes through the vertex.
The graph is shown below. I used GeoGebra, but you can use a TI83, TI84, Desmos, or anything similar.
If GJ = IJ and GH = 79, what is HI?
G
}
I
H
The value of side HI = GH, so the value of HI = 79.
What are similar triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of objects whose shapes are similar to one another.
Given that,
GJ = IJ and the value of GH = 79
We observe that the GI is the perpendicular bisector, hence the value of GH = GJ.
The triangle IGH and triangle IGJ are similar using the SAS criteria as:
GH = GJ
IG = IG
and angle IGH = angle IGJ
Hence, side HI = GH, so the value of HI = 79.
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The correct question is:
The value of side HI = GH, then the value of HI = 79.
What is meant by similar triangles?Two triangles are comparable if they have an equivalent number of corresponding sides and corresponding angles.
Items with the same shape but different sizes, such as two or more figures, are referred to as similar figures. One example of an object with a similar shape to another is a bicycle wheel. Another is a hula hoop.
Let the values be GJ = IJ and the value of GH = 79
Since the GI is the perpendicular bisector, GH = GJ is the result.
Using the SAS condition GH = GJ, the triangles IGH and IGJ are similar.
IG = IG and angle IGH = angle IGJ
Therefore, the side HI = GH, so the value of HI = 79.
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If g = -2 and h = 1, what is 3h - g ?
Answer:
5
Step-by-step explanation:
Substitute:
3*(1)--2
3+2
5
Answer: 5
Step-by-step explanation:
3h - g = 3*1 - (-2) = 3 - (-2) = 5
How much will be charged in prepaid interest on a $400,000 loan with an APR of 6% that was closed on December
17th?
Answer: To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
Step-by-step explanation:
The solution is, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
What is Prepaid interest?Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
here, we have,
To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
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this meal costs $29.00. A 7%sales tax is applied, followed by an automatic tip of 18%. What is the total with tax an d tip
The total cost of the meal with tax and tip is $31.8246.
What is a tax?A tax is a mandatory fee or financial charge that any government imposes on a person or a business in order to raise money for public projects that fund the best facilities and infrastructure. Different public expenditure programmes are then funded with the money raised.
Under the established law, there will be serious repercussions if one does not pay taxes or does not contribute.
7% sale tax applied on meal costing $29.00,
29 - 29 × 0.07
= 29 - 2.03
= 26.97
An automatic tip of 18% is applied
26.97 + 26.97 × 0.18
= 26.97 + 4.8546
= $31.8246
Thus, total cost of the meal with tax and tip is $31.8246.
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each of 35 samples has a different standard deviation how many can be from thesame population
Answer:
33
Step-by-step explanation:
There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.
YALL HELP OMGGGGGGGGG
Answer:
25% increase bc 15/20 is 75% .100-75 is 15%
Please help me with the following one
In the given options, Option A is different from the rest three options.
What is Pentagon?It is a type of polygon, which has 5 equal sides and all the interior angles are of 108°.
Given that,
Four statements about interior angles of pentagon
1. What is the measure of an interior angle of a regular pentagon
2. What is the sum of the interior angle measures of a convex pentagon
3. What is the sum of the interior angle measures of a regular pentagon
4. What is the sum of the interior angle measures of a concave pentagon
It can be seen that in 2, 3, 4 asking sum of interior angles
And, in first option asking individual value of interior angle
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Simplest form and explain why√800
Answer:
The simplest form of √800 is 4√5
Step-by-step explanation:
When finding the simplest form of a square root, we want to express the square root as a product of a whole number and a square root of a prime number. This is because the square root of a prime number cannot be simplified any further, while the square root of a composite number (a number that is not prime) can be further simplified.
In this case, we start by seeing that 800 can be factored as 20*40. To simplify the square root, we need to find the square root of each of these factors. The square root of 20 is not a whole number, but the square root of 40 is √40 i.e. 2√10, which can be further simplified as 2*2√5.
So, √800 = √(2040) = √20 * √40 = 2√10 = 2*2√5 = 4√5
As 4 is a whole number and √5 can't be simplified further, this is the simplest form of the square root of 800.
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Although part of your question is missing, you might be referring to this question "What is the simplest form of √ 800 and explain why?"
Eden needs an average of 92% on her quiz scores to earn the grade she wants in science class. Each quiz is worth 20 points. The scores of her first four quizzes are shown in the table. There will be one more
quiz. What score she can receive to earn at least a 92% average in
science class?
****
Quiz Score
1 20
2 18
3 19
4 17
On solving the provided question we can say that by percentage he need to scores 18 point in each
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Eden needs an average of = 92%
. Each quiz is worth 20 points
90% 0f 20 = 90/100 * 20 = 18 points
he need to scores 18 point in each
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39 The entry in a reference book about
moose shows the following figure.
If the figure in the book is 1 inches tall,
what is the actual height of the moose?
A
B
C
D
E
Scale = 50
3 feet 2 inches
4 feet 2 inches
5 feet 0 inches
5 feet 5 inches
6 feet 3 inches
16 over 10 = n + 2 over 5
2. The Accounting Students Association (ASA) at your college has decided to raise funds by selling three types of T-shirt: one with a single-color “ordinary” design, one with a two-color “fancy” design, and one with a three-color “very fancy” design. The association feels that. it can sell up to 300 T-shirts. “Ordinary” T-shirts will cost the association $6 each, “fancy” T-shirts $8 each, and “very fancy” T- shirts $10 each, and the association has a total purchasing budget of $3,000. It will sell “ordinary” T- shirts at a profit of $4 each, “fancy” T-shirts at a profit of $5 each, and “very fancy” T-shirts at a profit of $4 each. How many of each kind of T-shirt should the association order to maximize profit? What is the maximum profit the club can make? [Using Simplex method
The Accounting Students Association (ASA) at your campus has chosen to sell three different sorts of T-shirts to earn money.
What is the maximum profit of the club ?A single-color "regular" design, a two-color "fancy" design, and a three-color "very fancy" design are the three T-shirt options that the Accounting Students Association (ASA) at your college has chosen to sell in order to raise money.
According to the association, 300 T-shirts could be sold. The association's entire purchasing budget is $3,000, and it will spend $6 on "ordinary" T-shirts, $8 on "fancy" T-shirts, and $10 on "extremely fancy" T-shirts. The company plans to make a profit of $4 on "regular" T-shirts, $5 on "fancy" T-shirts, and $4 on "extremely fancy" T-shirts while selling them. Profit = Total Revenue - Total Cost is a key component of the profit maximization formula.
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