The inequality that represents Charlotte having money left over after buying the ticket. is
8m + 20 < 68
What is inequality?Inequality is a means of representing the relationship existing between the left hand side and right hand side of equations, using other terms aside exactly using only "equal to"
Having left over means that the the cost of the ticket should be less than the amount Charlotte has
Therefore, 8m + 20 should be less than 68 and this represented by
8m + 20 < 68
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Gina has 5 2/8 feet of silver ribbon and 3 6/8 of gold ribbon. How much more silver ribbon does Gina have than gold ribbon.
Answer: we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.
please someone help and give answers !!!
16.) Mean average deviation= option C
17.) Range of a data set = option E.
18.) First quartile = opinion AB
19.) Second quartile = option B
20.) Third quartile = option A
21.) Interquartile range = option D
How to determine the measures of the spread?
To determine the measures of the spread is to match their various definitions to the correct measures given such as follows:
16.) Mean average deviation: The average deviation of data from the mean.
17.) Range of a data set : The difference between the highest value and the lowest value in a numerical data set.
18.) First quartile: The median in the lower half.
19.) Second quartile: The median value in a data set.
20.) Third quartile: The median in the upper half.
21.) Interquartile range: The distance between the first and the third quartile.
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Which expression has the same value as the one below?
8 + [4 + (–9)]
A. 12 + (–9)
B. –12 + 9
C. –4 + (–9)
D. 4 + (–9)
Answer:
A. 12 + (-9)
Step-by-step explanation:
adding 8 to 4 is 12 and 9 remains as it is.
One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A,B,C, and D have 20,50,60, and 25 units of on-hand inventory, respectively. Items A,B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D,E, and F require multiples of 50,100 , and 100 , respectively, to be purchased. B has scheduled receipts of 30 units in period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C,E, and F. Gross requirements for A are 20 units in period 1,20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items.
The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5
To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.
Item A:
Period 1: Gross requirement of 20 units.
Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.
Item B:
Item B is a component of A, and each A requires 2 units of B.
We need to calculate the net requirements for B based on the planned order release for A.
Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.
B has a scheduled receipt of 30 units in period 1.
Net requirement for B in period 1: 40 units - 30 units = 10 units.
Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.
Item C:
Item C is a component of A, and each A requires 3 units of C.
We need to calculate the net requirements for C based on the planned order release for A.
Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.
C has a lead time of two periods, so we need to account for that.
Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.
Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.
Item D:
Item D is a component of C, and each C requires 1 unit of D.
We need to calculate the net requirements for D based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.
D has a lead time of one period, so we need to account for that.
Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).
Since the net requirement is negative, we do not release any planned order for D.
Item E:
Item E is a component of C, and each C requires 1 unit of E.
We need to calculate the net requirements for E based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.
E has a lead time of two periods, so we need to account for that.
Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.
Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.
Item F:
Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.
We need to calculate the net requirements for F based on the planned order releases for B and C.
Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.
Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.
F has a lead time of two periods, so we need to account for that.
Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.
Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.
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someone help meh plzz
Answer:
1) 229 Teens
2) (12,-2)
What is 1.5 Meters in Feet?
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
One meter is equal to 3.280839895 feet:1m = 1m × 3.280839895ft/m = 3.280839895ft1.5m= 1.5m x 3.280839895ft/m = 4.9212598425ft
1.5 meters= 4.92 ft (rounded)
1.5 metres is equal to 4.92126 ft.
Multiply the length value by 3.281 to get an approximation.
The meaning of 1.5 m?1,500,000 divided by 1.5 million equals 1. One million is represented by the number 1,000,000. As a result, we need to locate x copies of 1,000,000 in number form if we want to find x millions in number form.
How do you calculate metres?1 metre is equal to 100 centimetres. Determine the number of metres by multiplying the number of centimetres by 100.
For instance, if you recorded a measurement of 9.5 centimetres, divide that number by 100 to get ge
What is a metre, exactly?Meters per second (m/s) is the measurement of speed.
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What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
Answer:
centre = ( -6 , 4 ) and radius = 6
Step-by-step explanation:
(x-a)² + (y-b)² = r²
where (a , b ) represents the centre and r the radius.
compare the standard form to (x+6)² + (y−4)² = 36
=> a = -6, b=4 and r = \(\sqrt{36}\) = 6
=> centre = (-6, 4) and radius = 6
Help me please I neeed it
Answer:
175 Euros
Step-by-step explanation:
25(7) = 175
25(5) = 125
175 + 125 = 300
1.) a.) Given the data representing test scores in a chemistry class, construct a grouped frequency distribution of
the data using classes 30-40, 40-50, and so on using the grid provided.
72
55
35
53
85
67
48
86
39
73
57
99
45
48
40
80
Classes
70
56
59
75
85
97
65
62
66
88
94
74
Frequency
92
74
98
81
100 87
76
89
84
73
85
80
Given statement solution is :- To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:
Classes Frequency
30-40 2
40-50 3
50-60 4
60-70 8
70-80 9
80-90 7
90-100 7
To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:
Classes Frequency
30-40 2
40-50 3
50-60 4
60-70 8
70-80 9
80-90 7
90-100 7
To create this distribution, we count the number of scores that fall within each class range. For example, the class 30-40 has 2 scores falling within that range (35 and 39), and the class 40-50 has 3 scores (45, 48, and 48).
Note: It seems there is an inconsistency in the data provided. The class range 70-80 has 9 scores, but the frequencies given for the other classes do not match the actual number of scores falling within those ranges. Therefore, I have used the actual counts from the data to construct the grouped frequency distribution.
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what is -12.41 - -9.95
Answer:
-2.46
Step-by-step explanation:
Subtract -9.95 from -12.41. You can visualize this by starting at -12.41 on a number line and moving 9.95 units to the left. You will land on the integer -2.46.
Brian creates the graph of function g by applying a transformation to function f:
f(x)=4^x+1
g(x)=1/8(4)^x+1
Which transformation did Brian apply?
a vertical compression by a factor of 1/8
a vertical stretch by a factor of 8
a horizontal stretch by a factor of 8
a horizontal compression by a factor of 1/8
Please help worth 20 pts.
Answer:
a vertical compression by a factor of 1/8
Step-by-step explanation:
Answer:
a vertical compression by a factor of \(\frac{1}{8}\)
Step-by-step explanation:
Start with the original function \(f(x) = 4^x+1\).
Apply the vertical compression by multiplying the function by \(\frac{1}{8}\):
\(g(x) = (\frac{1}{8} ) * 4^x+1\).
Simplify the expression:
\(g(x) = \frac{1}{8} * 4^x * 4^1\).
Use the property of exponents \((a^{b+c} = a^b * a^c)\) to simplify further:
\(g(x) = \frac{1}{8} * (4^x * 4)\).
Simplify the expression inside the parentheses:
\(g(x) = \frac{1}{8} * (4^{x+1} )\).
What is the image of (−8,12) after a dilation by a scale factor of 1/4 centered at the origin?
The image of (−8,12) after a dilation is (-2, 3).
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Point (-8, 12)
scale factor = 1/4
After applying the scale factor then image
= (-8/4, 12/4)
= (-2, 3)
Hence, the image is (-2, 3).
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Find the slope of the line
from the table.
-5
-3
T
Y
10
6
2
Answer: Your slope would be -2.
Step-by-step explanation:
So for this, I'm going to use the points (-5,10) and (-3,6).
The regular slope formula is Y2-Y1 over X2-X1. (Make it like a fraction with the Y2-Y1 as the numerator and the X2-X1 as the denominator.)
The first part is to substitute your 2 coordinates into each variable.
Y2 - Y1 = 6 - 10 = -4. | X2 - X1 = (-3) - (-5) = 2.
The second part is to divide the -4 you got from the y-coordinates, by the 2 you got from the x-coordinates.
And a rule when dividing negative numbers is that if you divide a negative by a positive, the quotient is going to be negative.
Thus, your slope is -2.
Which ordered pair is a solution of y = 4x? a. (3, 10) b. (-5, -20) c. (-20, -5) d. (1.5, 6)
Answer:
YOUR CORRECT OPTION IS B
B) (-5,-20)
y=4x
x= -5
y= -20
Putting values
-20 = 4(-5)
= -20 = -20
Thus, the correct answer is B
Answer:
b (-5,-20)
Step-by-step explanation:
the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true
what i the distance of A(0, 2), B(−3, 8)
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Thank you.
^ - ^
speed is measured by the time required to run a distance of 40 yards, with smaller times indicating more desirable (faster) speeds. from previous speed data for all players in this position, the times to run 40 yards have a mean of 4.60 seconds and a standard deviation of 0.15 seconds, with a minimum time of 4.40 seconds, as shown in the table below. time to run 40 yards mean 4.60 seconds standard deviation 0.15 seconds minimum 4.40 seconds based on the relationship between the mean, standard deviation, and minimum time, is it reasonable to believe that the distribution of 40-yard running times is approximately normal? explain.
the minimum time of 4.40 seconds is not significantly far from the mean of 4.60 seconds, which further supports the normality assumption.
It is reasonable to believe that the distribution of 40-yard running times is approximately normal based on the central limit theorem, which states that the distribution of sample means tends to be normal, regardless of the underlying population distribution, as long as the sample size is sufficiently large. In this case, we are given the mean and standard deviation for all players in the position, which suggests that the population distribution is approximately normal.
what is second?
A second is a unit of time. It is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the caesium-133 atom.
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I need help with this question, Thanks.
I'm not sure about this one, but I might have the answer.
The x-intercept is probably the number on the x-axis and y-axis. So, the x-intercept would probably be 5,20
Again, I'm not sure if this is right, so sorry I couldn't help further.
Which of the following statements is false? A. A rectangle is an equiangular quadrilateral. B. Opposite sides of a parallelogram are congruent. C. A square is a regular quadrilateral. D. The diagonals of a rectangle are perpendicular.
Answer:
D.
Step-by-step explanation:
Choices A., B., and C. are always true.
Choice D. is true only for rectangles with congruent sides, which are squares.
Answer: D.
Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?
Answer:
834*3 + 1058*4 = ___
2,502 + 4,232 = 6,734 feet of wood
Step-by-step explanation:
Answer:
6734 is the answer.
Step-by-step explanation:
834 x 3 = 2502.
1058 x 4 = 4232.
2502 + 4232 = 6734.
In the diagram below, AB || DF, m/DCE = 104 ° and m/CEF = 145 °. Find m/B.
(I put some parts I could figure out, but now I'm stuck).
expand simplify m^2-3m+3m-9
☆ First we need to Distribute:
⇒ (2)(3m)+(2)(4)+(3)(m)+(3)(−5)
⇒ 6m+8+3m+−15
☆ Now Combine Like Terms:
⇒6m+8+3m+−15
⇒(6m+3m)+(8+−15)
⇒9m+−7
☆ Giving us the answer of:
9m+−7
Answer:
\(m^2-9\)
Step-by-step explanation:
Simplify \(m^2-3m+3m-9\)
add -3m and 3m
\(m^2+0-9\)
add \(m^2\) and 0
\(m^2-9\)
Please help ASAP ty!
Answer:
C. 70
Step-by-step explanation:
5(x+9)5(5+9)25+4570stay safe healthy and happy..Step-by-step explanation:
● 5(x+9)
● 5 (5)
● 5×9=45
● 5×5=25
● 45+25=70
■C.70Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
Let W = x y : x 2 + y 2 ≤ 1 be a subset of V = R 2 with the standard addition and scalar multiplication. a) Verify that e1 = 1 0 , and e2 = 0 1 are in W. b) Compute e1 + e2, and show that it is NOT in W. c) Explain why W is NOT then a subspace of V .
a) Correct: e₁ = (1, 0) and e₂ = (0, 1) are in W because they satisfy the given condition of having the second component equal to zero.
b) Incorrect: e₁ + e₂ = (1, 0) + (0, 1) = (1, 1), which is not in W because the sum of the components is not equal to zero, violating the condition for membership in W.
c) W is not a subspace of V because the sum of two vectors in W, such as e₁ = (1, 0) and e₂ = (0, 1), results in (1, 1), which is not an element of W.
To verify that e₁ = (1, 0) and e₂ = (0, 1) are in W, we need to check if their coordinates satisfy the condition x² + y² ≤ 1. For e₁, we have 1² + 0² = 1, which satisfies the condition. Similarly, for e₂, we have 0² + 1² = 1, also satisfying the condition. Therefore, both e₁ and e₂ are in W.
To compute e₁ + e₂, we add their respective coordinates. (1, 0) + (0, 1) gives us (1 + 0, 0 + 1) = (1, 1). However, when we check if (1, 1) is in W by substituting its coordinates into the condition x² + y² ≤ 1, we get 1² + 1² = 2, which violates the condition. Hence, (1, 1) is not in W.
W is not a subspace of V because it fails to satisfy the closure under addition property. A subspace must contain the zero vector (0, 0), and it must be closed under addition, which means that if two vectors are in the subspace, their sum should also be in the subspace. In this case, (1, 1) is not in W, even though e1 = (1, 0) and e2 = (0, 1) are in W. Thus, W does not satisfy the closure under addition property, making it not a subspace of V.
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Which are reasonable solutions for this situation if x
represents the number of hot dogs sold and y
represents the number of bottles of water sold? Check
all that apply.
O (-1,5)
O
(0,6)
O (2, 1)
(1, 1.5)
(1,3)
O (2, 2)
Answer:
C,E
Step-by-step explanation:
Just did it on edg
Generate the first 3 terms for the sequence-2n
+1.
Answer:
- 1, - 3, - 5
Step-by-step explanation:
Substitute n = 1, 2, 3 into the rule, that is
a₁ = - 2(1) + 1 = - 2 + 1 = - 1
a₂ = - 2(2) + 1 = - 4 + 1 = - 3
a₃ = - 2(3) + 1 = - 6 + 1 = - 5
Determine whether each of the following integers is prime. If yes, give a reason If no, give a factor other than 1 and itself.
(a) 71
(b) 111
(c) 113
(d) 93
(a) 71 is a prime number because it has only two factors, 1 and itself.
(b) 111 is not a prime number because it has factors other than 1 and itself. We can find these factors by prime factorization method which is 111=3*37. So, 111 has factors other than 1 and itself, 3 and 37.
(c) 113 is a prime number because it has only two factors, 1 and itself.
(d) 93 is not a prime number because it has factors other than 1 and itself. We can find these factors by prime factorization method which is 93=3*31. So, 93 has factors other than 1 and itself, 3 and 31.
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Which diagram is NOT a good model of 2÷1/8
Answer:
16 i believe
Step-by-step explanation:
What type of data is the water consumption (liters) by a randomly chosen player on the Celtics roster during a home game
The type of data for the water consumption (liters) by a randomly chosen player on the Celtics roster during a home game would be quantitative continuous data.
This is because the variable, water consumption, is a numerical measurement that can take on any value within a specific range (e.g., 0.5 liters, 1.2 liters, 2.7 liters, etc.), and it can be measured with a high level of precision. The data is continuous because there are no restrictions on the possible values, and it can take on any value within a given range.
what is range?
In statistics, the range refers to the difference between the maximum and minimum values in a dataset. It provides a measure of the spread or variability of the data.
To calculate the range, you simply subtract the minimum value from the maximum value:
Range = Maximum value - Minimum value
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