Leah should multiply x with \(\frac{12}{5}\).
If we are to divide x by \(\frac{5}{12}\), we need to write it like this,
\(\frac{x}{\frac{5}{12} }\)
⇒ x ÷ \(\frac{5}{12}\)
⇒ x × \(\frac{12}{5}\)
Thus, x should be multiplied \(\frac{12}{5}\) to get the answer.
Answer) \(\frac{12}{5}\)
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution.
In the given question, the divisor is ' \(\frac{5}{12}\).' Thus, it should be reciprocated to find the fraction ' \(\frac{12}{5}\).' This should be then multiplied by the variable x to find the answer to the fractional division.
Fractional multiplication also needs to carry out the arithmetic functions of multiplication and division to find out the answer.
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The complete question is given below:
Leah wants to divide x by \(\frac{5}{12}\). What number should she multiply by x to find the answer??
x2=-4 please help me find out
Answer:
Bruh, easy. Divide -4 by 2 and you get -2. So, x = -2.
Why you not know that?!
Answer:
x = -2
Step-by-step explanation:
2x = -4 ( divide by 2)
x = -2
In the lab, Trey has two solutions that contain alcohol and is mixing them with each other. He uses four times as much solution a solution as solution b. Solution A is 18% alcohol and solution b is 50% alcohol. How many milliliters of solution b does he use, if the resulting mixture has 261 mL of pure alcohol?
If In the lab, Trey has two solutions that contain alcohol and is mixing them with each other. The many milliliters of solution b he use, if the resulting mixture has 261 mL of pure alcohol is: 213.93mL.
How to find the milliliters of solution b?Let x be the amount of solution B he used in milliliters.
We know that the amount of solution A used = 4× x, and that the resulting mixture has 261 mL of pure alcohol.
Percentage of alcohol in solution A is 18% and in solution B is 50%.
Set up the proportion:
(0.18 × 4x + 0.50x) = 261
Simplifying,
0.72x + 0.50x = 261
1.22x = 261
x = 261 / 1.22
x = 213.93 mL (Solution b)
Trey used 213.93 mL of solution B and 3( 213.93mL) = 855.72 mL of Solution A.
Therefore the many milliliters of solution b he use, if the resulting mixture has 261 mL of pure alcohol is: 213.93mL.
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Solve for x
A) 7
B) 10
C) 5
D) -7
Answer:
D) -7
Step-by-step explanation:
\( \because \: PQ + QR = PR \\ \therefore \: 2x + 17 + 12 = 22 + x \\ \therefore \: 2x + 29 = 22 + x \\ \therefore \: 2x - x = 22 - 29 \\ \therefore \: x = - 7 \\ \)
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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What is the value of the y-intercept of the graph of f(x) = 29(5.2)* ?
Answer:
(0,29)
Step-by-step explanation:
To find the y-intercept, substitute in
0 for x and solve for y OR use a graphing calculator.
Which line is the steepest:
A
B
C
D
A customer left a
delivery guy a $3.50
tip.The tip was 20% of
the bill. How much
was the bill?
Answer:
$3.57
Step-by-step explanation:
3.50 x 0.20 = .07
3.50 + .07 = 3.57
The bill was $3.57
Answer:
4.20
Step-by-step explanation:
Tip calculator helps
need help with geometry
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
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Write a linear equation in slope intercept form to model the situation: a telephone company charges $28.75 per month plus $.10 a minute for long distance calls.
Answer:
y = 0.30m + 28.75
Step-by-step explanation:
the monthly charge for m minutes is above
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Tonyas car is not working properly. There is a 70% chance
0.9976 percent of the time, the automobile won't start immediately away.
What is normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
Given that,
X = number of morning car starts right away
X 0 1 2 3 4 5
p(x) 0.0024 0.0283 0.1323 0.3087 0.3601 0.1681
So now we are able to find the given probability
p(x ≥ 1) = 1 - p(0)
1 - 0.024 = 0.9976
Here we used complementary rule to find the answer
p(A') = 1 - p(A)
Therefore, the probability that the car does not start right away is 0.9976.
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Use the figure to find the measure of
the angle. Explain your reasoning.
1. ∠4
2. ∠5
3. ∠8
4. ∠6
Answer:
1. ∠4 = 152°
2. ∠5 = 152°
3. ∠8 = 152°
4. ∠6 = 28°
Step-by-step explanation:
1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.
2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°
3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°
4. ∠6 and <8 are a linear pair. Therefore,
m∠6 + m∠8 = 180°
m∠6 = 180° - m∠8
m∠6 = 180° - 152°
m∠6 = 28°
Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Question : 4x -8 = -4 (11+2x)
What’s the answer?
Answer:
x = -3
Step-by-step explanation:
4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)
4x - 8 = -44 + -8x (add 8x on both sides)
12x - 8 = -44 (add 8 on both sides)
12x = -36 (divide both sides by 12)
x = -3
Hope this helps ya!!
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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The rectangle below has sides measuring 6cm and 5 cm. What is the area of this rectangle
Answer:30 cm
Step-by-step explanation:
Area is found by two side lengths multiplied together, the two side lengths in the problem are 5cm and 6cm, 5 times 6 is 30, (plus add the measurement) which is 30 cm. :))
The area of the rectangle which has sides that measures 6cm and 5cm is 30 cm²
How to calculate the area of the rectangle?The rectangle has two sides that measures 6cm and 5cm respectively
The formula for calculating the area of a rectangle is length multiplied by width
The area of the rectangle can be calculated as follows
= 6 × 5
= 30 cm²
Hence the area of the rectangle is 30 cm²
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Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
1Use the drawing tools to form the correct answer on the graph.Draw a point that belongs to the solution region of this system of inequalities.y > 1.5* + 4y<&+6
Given the inequality
\(\begin{gathered} y>1.5^x+4 \\ y<\frac{2}{3}x+6 \end{gathered}\)Explanation
The solution to the system of equations can be seen in the graph below.
From the above, any of the two points satisfies the solution region of the system of equations.
Answer:
\((-1,5)\)Feb 17 A zoo feeds its monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit n mass to biscuit mass. Ratios with tape diagrams The table shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys. Monkey A Fruit mass Based on the ratio, complete the missing values in the table. B Biscuit mass Fruit mass (g) Biscuit mass (g) 28 45
help fast
Answer:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Step-by-step explanation:
Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.
For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 29.2 g
Biscuit mass = 43.8 g
For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Which equation represents a line that passes through (4, 1/3) and had a slope of 3/4?
The equation of line passes through the point (4, 1/3) will be;
⇒ y = 3/4x - 8/3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (4, 1/3).
And, The slope of the line is,
⇒ m = 3/4
Now,
Since, The equation of line passes through the point (4, 1/3).
And, Slope of the line is,
m = 3/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 1/3 = 3/4 (x - 4)
⇒ y - 1/3 = 3/4 (x - 4)
⇒ y - 1/3 = 3/4x - 3
⇒ y = 3/4x - 3 + 1/3
⇒ y = 3/4x - 8/3
Therefore, The equation of line passes through the point (4, 1/3) will be;
⇒ y = 3/4x - 8/3
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what are the elements found in both a narrative and a story
The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.
Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.
Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.
The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.
These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.
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HELPPP PLSSS
Find the value of x in the figure:
Answer:
4
Step-by-step explanation:
ΔADE ~ ΔABC, so
AD : AB = (x + 1) : (4x - 6)
Note AB = 2 AD, so
4x - 6 = 2(x + 1)
4x - 6 = 2x + 2
2x = 8
x = 4
mitos com a 15 A landscape designer is designing a garden in the shape of a right triangle. Which of the following could NOT be the lengths of the sides of the triangle? A 16 m, 30 m, 34 m B 10 yd, 14 yd, 17 yd 10 yd, 10.5 yd, 14.5 yd 18 ft, 24 ft, 30 ft C D
Answer:
B. 10 yd., 14 yd., 17 yd.
Step-by-step explanation:
In a right triangle, the squares of the sums of the two shorter sides must equal the square of the longer side(which is the hypotenuse)
From the combinations given only the set 10 yd, 14 yd. and 17 yd does not obey this rule
10² + 14² = 296
17² = 298
So this does not match
ASAP, PLSSS!!!! What is the range of the given function?
Answer:
[6, 8).
Step-by-step explanation:
When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.
In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.
Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.
Applying internal notation, the range of this function is:
[6, 8).
Learn more about interval notation here:
1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.
2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Submit the worksheet with your constructions to your teacher to be graded.
Answer:
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
Step-by-step explanation:
Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 2
Answer:
-5+√2 and -5-√2
Step-by-step explanation:
With the quadratic formula:
\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)
We can also complete the square (which is faster):
\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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