11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer. (citing my source usa test prep but i worked it out.)
A quadrilateral has 4 sides. One angle of a regular quadrilateral measures (6w+13) Determine the value of w. Round to the nearest whole number.
Ow=13
Ow=23
Ow=59
Ow=90
The value of w for the expression of angle 6w + 13 will be 13. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a quadrilateral has 4 sides. One angle of regular quadrilateral measures (6w+13).
The value of 'w' will be calculated as,
6w + 13 = 90
6w = 90 - 13
6w = 77
w = 12.83 or 13
Therefore, the value of w for the expression of angle 6w + 13 will be 13. The correct option is A.
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Find the error. Select choice options are step 1, 2, 3 and x-coordinates and y-coordinates
Therefore, the slope of the line that passes through (-2, 8) and (4, 6) is -1/3.
What is the slope?
In mathematics, the slope is a measure of the steepness of a line.
The solution provided involves three steps to find the slope of the line that passes through two points: (-2, 8) and (4, 6).
Step 1 involves finding the change in y-coordinates, which is the difference between the y-coordinate of the second point and the y-coordinate of the first point. In this case, the second point has a y-coordinate of 6 and the first point has a y-coordinate of 8.
Therefore, the change in y-coordinates is 6 - 8 = -2.
Step 2 involves finding the change in x-coordinates, which is the difference between the x-coordinate of the second point and the x-coordinate of the first point. In this case, the second point has an x-coordinate of 4 and the first point has an x-coordinate of -2.
Therefore, the change in x-coordinates is 4 - (-2) = 6.
Step 3 involves dividing the change in y-coordinates by the change in x-coordinates to find the slope of the line. In this case, the change in y-coordinates is -2 and the change in x-coordinates is 6, so the slope is -2/6 or -1/3.
Since all the steps are correct and properly executed, there is no error.
Therefore, the slope of the line that passes through (-2, 8) and (4, 6) is -1/3.
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Graph the line that represents this equation. 3x - 4y =8
Answer:
See attachment
Step-by-step explanation:
The solution is given in the image.
Which graph is the graph of the function?The graph of a feature f is the set of all factors in the plane of the form (x, f(x)). We can also outline the graph of f to be the graph of the equation y = f(x). So, the graph of a feature is a special case of the graph of an equation.
What does the axis of a graph constitute?An axis is a line to the aspect or backside of a graph; it's far labeled to give an explanation for the graph's meaning and the devices of measurement. The x-axis, the horizontal line at the lowest of a graph, may be labeled to present facts about what the graph represents.
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As a salesperson at Max’s Mattresses, Richard earns $250 plus $15 for each mattress he sells. Which equation can Richard use to determine how much earnings, e, he will make after he sells, m, matresses?
Answer:
e = 250 + 15m
Step-by-step explanation:
The earnings or "e" are determined by the solution of the $250 he's earned from the start and the $15 he earns are dependent on the amount of mattresses he's sold so "m" has to be multiplied by the 15.
Prove that "If α is an ordinal and β ∈ α, then β is an ordinal" ?
If α is an ordinal and β ∈ α, then β satisfies all three properties of an ordinal. Therefore, β is also an ordinal.
To prove the statement "If α is an ordinal and β ∈ α, then β is an ordinal," we need to demonstrate that if α is an ordinal and β is an element of α, then β satisfies the three properties of an ordinal:
Well-Ordering: Every element of β is strictly well-ordered by the membership relation ∈. This property holds because α is an ordinal and satisfies the well-ordering property, and β being an element of α inherits this property.
Transitivity: For any two elements γ and δ in β, if γ ∈ δ and δ ∈ β, then γ ∈ β. Since β is an element of α and α is transitive, the transitivity property carries over to β.
Trichotomy: For any two elements γ and δ in β, either γ ∈ δ, δ ∈ γ, or γ = δ. Again, this property is inherited from α, as β is an element of α.
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Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?
Select all x values that are solutions to the equation
Answer:
The answers are 3 and 5
The only thing u had to do is
x-5=0
x=5
7x-21=0
7x=21
x=3
Distribute:
2(5+ k)
PLS HELP ILL GIVE BRAINLEST
Answer:
10+2k
Step-by-step explanation:
when using the distributive property just multiply what's in parentheses by the outside number. (i tried to break down the definition as simple as possible, hope you understood)
a player scored 89 points in a single professional basketball game. he made a total of 55 baskets, consisting of field goals (worth two points) and fouls shots (worth one point). find the number of field goals and the number of fouls shots that the player made
The player made 38 foul shots.
Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:
F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)
2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)
The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:
S = 55 - F
Next, we change S in the second equation to the following expression:
2F + (55 - F) = 89
When we simplify and find F, we obtain:
F = 17
Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:
17 + S = 55
S = 38
The player so scored 38 fouls.
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half the sum of 16 and x decreased by one-fourth x
8x=
8-0.25=
7.75
Heart this if it helped!
Can you help me, please! This is due today and Im confused! THANK YOU IF YOU DO! I LOVE YOU IF YOU DO!
Answer:
a) 8
b) 27
c) x+7
d) 5
Step-by-step explanation:
For a and b your are just adding 7
For c you are just writing the algebraic equation
For d you are just subtracting 7
Hope this helps!:)
Answer:
1. a. 8 years
b. 27 years
c. x+7 because x is an unknown value so it is x+7.
d. 5 years old
Step-by-step explanation:
a, b, c, d it is the value they give you plus 7.
d. her sister is 5 years old because Britney is 7 years older than her. in this situation her sister is X years old, but they tell you what Britney's age is. so you do 12-7 because her sister is 7 years younger. 12-7= 5 so her sister is 5 years old. you can check this by doing 5+7, to get 12.
solve -2 + 12/25
thanks
Answer:
-38/25
in decimal form: -1.52
Step-by-step explanation:
Answer: -38/25 or -1 13/25 or -1.52
Step-by-step explanation:
-2 is the same as -50/25 because -50/25 is -2
-50/25+12/25
-50+12 = -38
-50/25+12/25=-38/25
-1 13/25
5 is 1/2% of what number
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
After rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
What are equations?Two expressions joined by an equal sign form a mathematical statement known as an equation.
An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
So, we have the equation:
2.3p - 10.1 = 6.5p - 4 - 0.01p
Now, we can rewrite them as follows:
-2.3p - 10.1 = 6.49p - 4
-230p - 1010 = 650p - 400 - p
Therefore, after rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
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Correct question:
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p - 10.1 = 6.4p - 4
b. 2.3p - 10.1 = 6.49p - 4
c. 230p - 1010 = 650p - 400 - p
d. 23p - 101 = 65p - 40 - p
e. 2.3p - 14.1 = 6.4p - 4
Find the value of x. *
50 PTS!
5
25
5√2
50
Answer:
Option AStep-by-step explanation:
We can solve this with the help of Pythagoras theorem.
=> (√50)² = x² + x²=> √50 x √50 = x² + x²=> 50 = 2x²=> 25 = x²=> x = 5Hence, the value of x is 5 units.
Answer:
Answer: x is 5 units
Step-by-step explanation:
» From trigonometric ratios,
\({ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ \)
theta is 45°opposite is xhypotenuse is √50\({ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}\)
Or, from pythogras theorem
\({ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}\)
a is x, and b is xc is √50\({ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}\)
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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what equation is equivalent to the given equation?
The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.
What is an equivalent expressiοn?The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).
The equatiοn is given belοw.
x² + 16x = 22
Add bοth side 64.
x² + 16x + 64 = 22 + 64
(x + 8)² = 86
Then the cοrrect οptiοn is A.
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Complete question:
Which equation is equivalent to the given equation? x² + 16x = 22
a. (x+8)² = 86
b. (x+8)² = 38
c. (x+16)² = 278
d. (x+4)² = 22
Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14).
If necessary, round to three decimal places.
Provide your answer below:
Suppose Rosetta scores 110 points in the game on Thursday. The z-score when x=110 is . The mean is .
This z-score tells you that x=110 is standard deviations to the left of the mean.
given
average = 148
standard deviation = 14
let Z score when x is 110
z score = 110-148/ 14 = -2.714
suppose Rosseta scores 110 points in the game on Thursday,
the Z score when X is 110 is -2.174
the mean is 148.
The Z scores tell you that X = 110 is 2.714
standard deviation to the left of the mean.
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
Plsss this is timed!
Answer:
c i think ???
Step-by-step explanation:
A taco truck sells drinks as shown in the table.
What is the total number of ounces in 9 large
and 17 small size drinks?
Answer:
17
Step-by-step explanation:
cause it is and that's all
Answer:
Step-by-step explanation:
|x-5|>9
give the answer as an equality
Since |x-5|>9 is equal to 14, or x > 14, then x -4. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.
What do you mean by inequality ?Let's tackle your disparity one step at a time.
|x-5|>9
Solve absolute value using |x-5|> 9
Either x - 5 > is known. 9 or x - 5 < -9\sx - 5 > 9 (Possibility 1)
x - 5 + 5 > 9 + 5 (Add 5 to both sides) (Add 5 to both sides) $x>14 x - 5 -9 x - 5 + 5 -9 (Possibility 2) (Add 5 to both sides)
x < -4 , x > 14 or x < -4
A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. The portion to the left is indicated by this.
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Question 12
Using the equations Soda = 12.5-0.2475t and Water=8.2+0.56t, if sales of
bottled water continue to increase at this rate and sales of carbonated soft drinks
continue to decline, during what year will the amount sold be the same?
I don't know
You answered 7 out of 11 correctly. Asking up to 12.
2 attempts
The sales of bottled water and carbonated soft drinks will be the same in the year 2028 (in 5.323 years).
How to find the amount sold will be sameTo find the year when the sales of soda and water will be equal, we need to solve the equation:
Soda = Water
12.5 - 0.2475t = 8.2 + 0.56t
where
t = time
collecting like terms
12.5 - 8.2 = 0.2475t + 0.56t
4.3 = 0.8075t
Then we can solve for t by dividing both sides by 0.8075:
t ≈ 5.323
If t is in years, this tells us that the sales of soda and water will be equal in approximately 5.323 years.
To find the year when this will happen, we need to add 5.323 to the current year.
Assuming the current year is 2023, we get:
2023 + 5.323 ≈ 2028.323
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Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
\(2x + 5 = 1\) is an open statement
The equation is given as:
\(2x + 5 = 1\)
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, \(2x + 5 = 1\) is an open statement
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Which is the best estimate for the sum of 2/9 + 10/11?
A 0 + 0 = 0 B 1/2+1/2=1 C 1 + 1 = 2 D 0 + 1 = 1
PLS HELP IM HERE WITH MY FRIENDS !!!
50 POINTS!!!!!!!!
The most accurate calculation for the product of 2, 9, and 11, is 1, or 0 + 1.
Which estimate is the best?Best estimate refers to the figure arrived at by an assessor using deterministic techniques that most accurately captures the anticipated result without optimism or conservatism.
To estimate a number is to round it up to the nearest full number.
We now have February 9 and November 11.
Hence, as 2/9 is closer to 0 than 0.5, we will estimate it to be 0.
Similarly, we will estimate 10/11 as 1 since it is closer to 1 than 0.5.
Hence, 0 + 1 = 1 is the result of adding up their estimates.
In conclusion, 0 + 1 = 1 is the best estimate for the product of the numbers 2/9 and 10/11.
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please see the attached
The expression (r-s)(x) is 4x² - x + 5, (r.s)(x) is 4x³ - 20x² and value of (r-s)(-1) is 10.
To find the expression (r-s)(x), we subtract the function s(x) from the function r(x):
(r-s)(x) = r(x) - s(x)
Substituting the given functions, we have:
(r-s)(x) = 4x² - (x-5)
Simplifying further:
(r-s)(x) = 4x² - x + 5
To find the expression (r.s)(x), we multiply the functions r(x) and s(x):
(r.s)(x) = r(x) × s(x)
Substituting the given functions, we have:
(r.s)(x) = (4x²)×(x-5)
Expanding and simplifying:
(r.s)(x) = 4x³ - 20x²
Now, let's evaluate (r-s)(-1) by substituting x = -1 into the expression (r-s)(x):
(r-s)(-1) = 4(-1)² - (-1) + 5
(r-s)(-1) = 4 - (-1) + 5
(r-s)(-1) = 4 + 1 + 5
(r-s)(-1) = 10
Therefore, (r-s)(-1) equals 10.
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Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 12 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
(c) is 0.00
Round your answers to two decimal places
Answer:
a) 0.7847 = 78.47% probability that no samples are mutated.
b) 0.9769 = 97.69% probability that at most one sample is mutated.
c) 0% probability that more than half the samples are mutated.
Step-by-step explanation:
For each sample, there are only two possible outcomes. Either they are mutated, or they are not. The probability of a sample being mutated is independent of any other sample, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
2% of cases.
This means that \(p = 0.02\)
12 samples are studied
This means that \(n = 12\).
(a) No samples are mutated.
This is \(P(X = 0)\). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847\)
0.7847 = 78.47% probability that no samples are mutated.
(b) At most one sample is mutated.
This is:
\(P(X \geq 1) = P(X = 0) + P(X = 1)\)
Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847\)
\(P(X = 1) = C_{12,1}.(0.02)^{1}.(0.98)^{11} = 0.1922\)
\(P(X \geq 1) = P(X = 0) + P(X = 1) = 0.7847 + 0.1922 = 0.9769\)
0.9769 = 97.69% probability that at most one sample is mutated.
(c) More than half the samples are mutated.
This is:
\(P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)\)
So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{12,7}.(0.02)^{7}.(0.98)^{5} \approx 0\)
So the others(greater than 7) wil be 0 too
0% probability that more than half the samples are mutated.
Cannington, Inc., designs, manufactures, and markets personal computers and related software. The following information was taken from a recent annual report of Cannington industries: Property, Plant, and Equipment (in millions): Current Year Preceding Year Land and buildings $707,150 $410,147 Machinery, equipment, and internal-use software 671,793 530,363 Office furniture and equipment 106,073 91,930 Other fixed assets related to leases 855,652 643,507 Accumulated depreciation and amortization (898,081) (749,579) a. Compute the book value of the fixed assets for the current year and the preceding year. Current year book value $fill in the blank 1 Preceding year book value $fill in the blank 2
The book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.
Book valueCurrent year book value
Land and buildings $707,150
Machinery, equipment, and internal-use software $671,793
Office furniture and equipment $106,073
Other fixed assets related to leases $855,652
Less Accumulated depreciation and amortization ($898,081)
Book value $1,442,587
Preceding year book value
Land and buildings $410,147
Machinery, equipment, and internal-use software $530,363
Office furniture and equipment $91,930
Other fixed assets related to leases $643,507
Less Accumulated depreciation and amortization ($749,579)
Book value $926,368
Therefore the book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.
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