Answer:
1.25
Step-by-step explanation:
If a bag of chips is within 0.4 oz of 6 oz then it is allowed to go on the market. Write an absolute value inequality that models this situation. Solve the inequality.
The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4.
How to solve the inequalityLet's represent the weight of the bag of chips as "x" (in ounces). The bag is allowed to go on the market if its weight is within 0.4 oz of 6 oz.
An absolute value inequality that models this situation is:
| x - 6 | ≤ 0.4
Now, let's solve the inequality:
1. x - 6 ≤ 0.4
Add 6 to both sides:
x ≤ 6.4
2. x - 6 ≥ -0.4
Add 6 to both sides:
x ≥ 5.6
The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4. This means the weight of the bag of chips must be between 5.6 ounces and 6.4 ounces (inclusive) to be allowed on the market.
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An arithmetic sequence has this recursive formula:
| a₁ = 4
| an = an-1 - 7
What is the explicit formula for this sequence?
[tex]a_n = 4+ (n-1)(-7)[/tex] is the explicit formula for the sequence | a₁ = 4
| an = an-1 - 7
We have given [tex]a_1 = 4[/tex]
If [tex]a_n = a_{n-1} - 7[/tex]
Then, [tex]a_2 = a_{(2-1)} - 7[/tex]
⇒ [tex]a_2 = a_1 - 7[/tex]
⇒ [tex]a_2 = 4 - 7[/tex]
⇒ [tex]a_2 = -3[/tex]
Now, common difference (d) = [tex]a_2 - a_1[/tex] = -3 - 4 = -7
The explicit formula for arithmetic sequence is expressed as
[tex]a_n = a+ (n-1)d[/tex] Where a is the 1st term, [tex]a_n[/tex] is the nth term and d is the common difference.
With given information explicit formula:
[tex]a_n = 4+ (n-1)(-7)[/tex]
What is an explicit formula?Without expressing the other terms of the sequence, explicit formulas are always utilized to represent any term of the sequence. The word "explicit" means something that may be found directly without having to know the other phrases in the sequence.
A single formula, known as the explicit formula, can be used to describe each term in a series in an individual way. Without knowing the prior term in the series, the explicit formula makes it simple to locate any term. The explicit formulas for various sequences are provided here:
An = a + (n - 1) d, where a is the first term and d is the common difference, an is the arithmetic sequence.
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i need help with this
if you could send a picture that would be great
The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The points are given as;
{(1, 5) , (2, 4) , (3, 5) , (3, 4) , (4, 4) , (5, 5)}
Now, All points are shown in graph.
Clearly, The input of points are,
x = {1, 2, 3, 4, 5}.
And, The output of points are,
y = {4, 5}
So, The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
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Find the area of the triangle
The area of the triangle is 5√11 cm²
How to find the area of a triangle?The area of a triangle can be found as follows:
area of a triangle = 1 / 2 bh
where
b = base of the triangleh = height of the triangleTherefore,
b = base of the triangle = 2(√6² - 5²) = 2(√36 - 25) = 2√11 cm
h = height of the triangle = 5 cm
area of the triangle = 1 / 2 × 2√11 × 5
area of the triangle = 5√11
area of the triangle = 5√11 cm²
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the width is to be 16 feet less than 3 times the height. find the width and the height if the carpenter expects to use 34 feet of lumber to make it.
The computation is that the width is 21.5 feet and the height is 12.5.
How to compute the value?Let the height = h
Let the width = (3 × h) - 16 = 3h - 16
Therefore, the dimensions will be:
h + 3h - 16 = 34
4h = 34 + 16
4h = 50
Divide
h = 50/4
h = 12.5
Therefore width = 3h - 16 = 3(12.5) - 16
= 37.5 - 16
= 21.5
The width is 21.5 feet and the height is 12.5.
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Sep 15, 10:38:09 AM
Watch help video
Use point-slope form to write the equation of a line that passes through the
point (1, 17) with slope 2.
Answer:
Submit Answer
attempt 1 out of 3
The equation of the line is y=2x+15.
Given point (1,17) and the slope m=2
The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.
To find the equation of the line formulae is [tex](y-y_{1})=m(x-x_{1})\\[/tex]
Here, m=2 , [tex]x_{1}=1 \\[/tex] and [tex]y_{1}=17[/tex]
substituting the values we get
y-17=2(x-1)
y-17=2x-2
y=2x+15
Therefore, The equation of the line is y=2x+15.
The equation of line is an algebraic representation of a set of points in a coordinate system that form a line. The several points in the coordinate axis that form a line are represented as a set of variables x, y to build an algebraic equation known as an equation of a line. We can use the equation of any line to determine if a given point is on the line or not.
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The length of an alligator in a zoo is 1456feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512feet. Which is the difference in their lengths?
The difference in their length is 16056
As per the question the length of alligators=1456 feet
At the same time the length of longest elegator is=17512 feet
We have to find out the difference
For difference we have to take
1756 min and 1456
As we know the formula of find the difference is by substituting so-
17512-1456
=16056
The difference= 16056 units feet
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Tony is making a tiered cake for a party. He use 9 cups of butter from the refrigerator to make 4 cakes. We want to find how butter he needs to put in each cake. This situation can be represented by the expression -9 divided by 4. Find the solution, and explain what it means in the context of the problem.
The amount of butter that Tony needs to put in each cake will be 2.25 cups.
How to illustrate the information?From the information, Tony is making a tiered cake for a party and he use 9 cups of butter from the refrigerator to make 4 cakes.
The amount of butter that he needs to put in each cake will be:.
= Number if cups / Number of cakes
= 9 / 4.
= 2.25 cups
Therefore, the amount of butter that Tony needs to put in each cake will be 2.25 cups.
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DLD I need to get this done ASAP
Answer: d
Step-by-step explanation:
the lowest common denominator for the fraction 8/64 and 8/32 is
Answer:
Lowest common denominator is 8.Step-by-step explanation:
8? Why that low?Here's why:
64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.
So then, we make the denominator 8 and numerator 1.
Lowest common denominator is 8.a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside. if the material used to build the two fences is $ 1.15 per foot, what was the total cost of the fences?
Answer: The total cost of the fences=$165.6
Step-by-step explanation:
Let a = the length of the side if the square.
The perimeter of the square is 60 ft
4a = 60ft
divide both sides by
4a = 60/4
a = 15 ft
The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside
Expand to get:
4*a + 4(a + 2*3)
Replace a with 15 to get:
= 4*15 + 4(15 + 6) 60 + 4(21) 60+84
= 144ft
The cost of the fence is $1.15 per foot
The cost of 144 ft fence will be:
= 144*1.15
= $165.6
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Help-Khan academy geometry-mapping shapes
The sequence of transformations that maps triangle DEF into triangle ABC is:
A 90º rotation about point F, then a translation along the directed line segment FC.
What are transformations on the graph of a function?Transformations in the graph of a function are classified as follows:
Translation: Translation left/right or down/up, changing just the position.Reflections: Over one of the axes or over a line, changing just the orientation.Rotations: Over a degree measure, changing the orientation or the inclination.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, changing the side lengths of the figure.For this problem, we have that:
The orientation was changed, hence first it underwent a rotation.Then the position changed, hence after the rotation it underwent a translation.Thus the correct sequence is given by Sequence B.
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In an Examination, 1.100 Boys and 900 Girls appeared, 50% percent of the Boy and Girls passed the examination. The fail percentage is?
54.5 % students got failed
• Percentage in mathematics is defined as the number or ratio which can be expresses as a fraction of 100. If we want to calculate the percent of the number, we need to divide the number by the whole and multiply by 100.
• Percentage are dimensionless quantity. Percentage means pert per hundred. Percentage can also be represented in fraction form such as 0.5% or 0.25%.
• For example Prince got 98% marks in Maths which means that he has scored 98 marks out of 100.
According to the Question
Number of boys = 1100
Number of girls = 900
%age of boys passed = 50%
%age of girls passed = 40%
No of boys failed = ((100-50)*1100)/100
= 550
No of girl failed = ((100-40)*900)/100
= 540
Total number of students =1100+900 = 2000
Total number of students failed = 1090
Percentage of students failed = 1090/2000 *100 = 54.5
54.5 % students got failed
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Which expression shows how to use mental math to find
6
×
24
?
A.
(
6
×
20
)
+
(
6
×
4
)
B.
(
6
×
20
)
+
(
6
×
14
)
C.
(
6
×
20
)
×
(
6
×
4
)
D.
(
6
×
20
)
−
(
6
×
4
)
Answer:a
Step-by-step explanation:a is easy
given the set of numbers from 1 to n: { 1, 2, 3 .. n } we draw n numbers randomly (with uniform distribution) from this set (with replacement). what is the expected number of distinct values that we would draw?
The number of distinct values that we can draw(with replacement) is;
= [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]
Here,
The given set is = {1, 2, 3, ……, n}
n number of drawn from this set with replacement.
Then we have to find number of distinct values that we can draw.
What is combination?
The field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system.
Now,
The given set is = {1, 2, 3, ……, n}
n number of drawn from this set with replacement.
Since, we know we draw p things from q with replacement then
Number of ways = [tex]^{p+q-1} C_q[/tex]
Here number of element in the set = n
And number of element we have to draw with replacement = n
Therefore, number of distinct values that we can draw
= [tex]^{n+n-1} C_n[/tex]
= [tex]^{2n-1} C_n[/tex]
= [tex]\frac{(2n-1)!}{n!(2n -1 - n)!}[/tex]
= [tex]\frac{((2n-1)!)}{n!(n -1)!}[/tex]
Hence, The number of distinct values that we can draw(with replacement) is;
= [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]
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HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED<<
Scott bought a large bag of cookies at the bakery. He ate 1/5 of a bag and his sister ate
2/7 of a bag.
What fraction of the bag did they eat?
What fraction of the bag remains?
Answer:
17/35, 18/35
Step-by-step explanation:
Find the common denominator to add those fractions together.
5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.
10/35 + 7/35 = 17/35
They ate 17/35.
35/35 - 17/35 = 18/35
18/35 remains.
To solve this problem, simply add the fractions!
To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.
A common factor of [tex]\frac{1}{5}[/tex] and [tex]\frac{2}{7}[/tex] is 35 as 5 ×7 = 35
Multiply the numerator and denominator of 1/5 by 7: [tex]\frac{(1)(7)}{(5)(7)}= \frac{7}{35}[/tex]
Multiply the numerator and denominator of 2/7 by 5: [tex]\frac{(2)(5)}{(7)(5)} =\frac{10}{35}[/tex]
Now add [tex]\frac{7}{35} + \frac{10}{35}[/tex] = [tex]\frac{17}{35}[/tex] : They ate [tex]\frac{17}{35}[/tex] of the bag
To find what fraction of the bag remains, subtract what they ate from 1.
*1 can also be written as [tex]\frac{35}{35}[/tex]*
[tex]\frac{35}{35} -\frac{17}{35} = \frac{18}{35}[/tex]
18/35 of the bag remains
what are quadrilateral and diagonal lines that have equal length,the point of intersection divides both diagonals equally and perpendicular
Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
need help please
The following transformations are rigid and isometric: (choose all that apply)
dilation
reflection
rotation
translation
4(y-2)²-9=0 find the perfect square
Answer:
(2(y-2)+3) (2(y-2)-3)
Step-by-step explanation:
In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra.
maritza is playing a computer game to help her learn about science. her scores for the first six games were 11, 12, 10, 8, 14, and 15. how many points does she need to earn on the next game so that her average score for all games is 12 points? 14
For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.
What is mean?An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.
In other words, this same deviation of data from across all data sets is built on the mean.
Mean = sum of data / Number of data
According to the given information:points given for the 6 games:
11,12,10,8,14 and 15
Let's say this same point in the seventh game is x, keeping the average at 12.
The average for the 7th game is.
(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12
(70 + x )/7 = 12
70 + x = 84
x = 24
For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.
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Tanner's parents give him x dollars per month for his allowance. however, since his birthday is in february, he gets an extra 20% bonus that month. pick all the expressions that represent how much tanner's allowance is in february. 120x x+0.2x x+1.2x 1.2x
it is given in question that Tanners parent give him x dollars per month plus 20% extra in February therefore the amount become 0.2x
What do you mean percentage?
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
Tanner's parents give him x dollars per month for his allowance.
however, since his birthday is in february
he gets an extra 20% bonus that month.
pick all the expressions that represent how much tanner's allowance is in february month
20% = 20/100
= 2/10
=1/5
= 0.2
since it is given in question that Tanners parent give him x dollars per month plus 20% extra in February
therefore the amount become 0.2x
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what is 42% as a decimal?
20 pts
A company sells designer purses for $400 per purse. Usually, they sell 3000 purses per month. According to market research, they will sell 500 more purses for every $20 reduction in price. Write a function R(x) that models the company's revenue, where x is the number of price reductions. Find the price that will generate the maximum revenue. Find the maximum revenue.
The price that would yield maximum revenue is $260 and maximum revenue is $1,690,000
What is the revenue function?
The fact that total revenue of the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:
R(x)=P*x
R(x)=Px
R(3000)=$400*3,000
R(3000)=$1200,000
Note for every 500 more purses, the price reduces by $20
R(3500)=$380*3,500
R(3500)=$1,330,000
R(4000)=$360*4000
R(4000)=$1,440,000
R(4500)=$340*4500
R(4500)=$1,530,000
R(5000)=$320*5000
R(5000)=$1,600,000
R(5500)=$300*5500
R(5500)=$1,650,000
R(6000)=$280*6000
R(6000)=$1680,000
R(6500)=$260*6500
R(6500)=$1,690,000
R(7000)=$240*7000
R(7000)=$1,680,000
The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses
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(d-6)(2e-3)+(d-6)(e+1) solution please?
The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .
According to the given question.
We have an expression (d-6)(2e-3)+(d-6)(e+1).
Here, we have to find the solution of the given expression.
As we know that, an action or process of solving a problem.
Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by
(d-6)(2e-3)+(d-6)(e+1)
= 2de -12e -3d + 18 + de -6e + d - 6 (by distributive rule)
= 3de -18e -2d + 12
Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .
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solve the system y=x and 2x+3y=15
The value of x and y can be written as x=y=3. Therefore, the value of both x and y is equal to 3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two the system of equations as follows,
y = x
2x + 3y = 15
Now, if we substitute the value of y from the first equation in the second, then we can write,
2x + 3y = 15
2x + 3x = 15
5x = 15
x = 15/5
x = 3
Therefore, the value of x and y can be written as x=y=3.
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I need this answered thanks
Answer:The answer would be the third one $0.07 per minute
What is 59265 divided by the 8th power x 596 x 427 please help
59265 の 8 乗 x 596 x 427?
Answer: sus
Step-by-step explanation:
Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]
Answer:
y=4x+-14
Step-by-step explanation:
i hope this helps
solve the compound inequality 2x<4x-5<15
The answer of the given inequality is 5/2<x<5
To solve this given inequality we need to 1st understand what is inequality then we will be easily able to solve this sum.
It is a relationship between inequal values. the word inequality means not equal. to compare the values whether it is less or greater than then different inequalities are used. We can easily identify when an equation is called an inequality equation when we will see the sign ≤ , ≥ ,< ,>. This sign means that the expression is an inequality.
Here in the sum we will be solving the equation in two parts in the 1st part we will be taking the part 2x<4x-5 and in the 2nd part we wil take the equation 4x-5<15
On solving the 1st part :
∴ 2x<4x-5
=> 2x-4x<-5
=> -2x<-5
=> 2x>5 [Multiplying boyh sides by minus sign]
=> x>5/2
On solving the 2nd part :
∴ 4x-5<15
=> 4x<15+5
=> 4x<20
=> x<5
So on solving the inequality we got that 5/2<x<5
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In 40 minutes; diane walks 2.5 miles and sue walks 1.5 miles. in miles per hour , how much diane walking?
Answer:
3.75 miles per hour
Step-by-step explanation:
Diane is walking 2.5 miles in 40 minutes.
2.5/40 = 0.0625 miles per minute
There are 60 minutes in an hour.
0.0625 * 60 = 3.75
Diane is walking at a speed of 3.75 miles per hour.
Here, we have to calculate the walking speed of Diane in miles per hour, we need to convert the time from minutes to hours since the walking distance is given in miles.
Diane walks 2.5 miles in 40 minutes.
To convert 40 minutes to hours, we divide by 60 (since there are 60 minutes in an hour):
40 minutes ÷ 60 = 2/3 hours
Now, we can calculate Diane's walking speed (or rate) in miles per hour:
Diane's walking speed = Distance / Time
Diane's walking speed = 2.5 miles / (2/3) hours
To divide by a fraction, we can multiply by its reciprocal:
Diane's walking speed = 2.5 miles * (3/2) hours
Now, simplify:
Diane's walking speed = 7.5 miles / 2 hours
Finally, divide:
Diane's walking speed = 3.75 miles per hour
So, Diane is walking at a speed of 3.75 miles per hour.
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