The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.
What is a Ratio?A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.
The ratio tells us how often one number is contained in another.
Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,
96 girls are present.
80 boys out of 176, or 96 boys.
Currently, the junior class's gender distribution is as follows:
Girls to Boys in Ratio
96 girls and 80 boys.
Divide the numerator and denominator by 16 to simplify.
Boys/Girls: 6 to 5.
Therefore, the answer is option d) 6:5.
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Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?
Answer:
2.24$
Step-by-step explanation:
How can I do math fast?
To do Maths fast follow the steps:
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.
The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.
There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.To learn more about Maths refer to :
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Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches
Answer:
Step-by-step explain
We know that the campsite is 65 miles north of her town.
There are 63,360 inches in a mile
so, if you multiply it would look like
63,360 x 65 = 4,118,400
so, your answer would be 4,118,400 inches
2. Gravetter/Wallnau/Forzano, Essentials - Chapter 4 - End-of-chapter question 2
What is the range for the following set of scores? (You may have more than one answer. )
6, 12, 9, 17, 11, 4, 14
The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.
In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.
It is calculated by subtracting the minimum value from the maximum value among the data set.
range = maximum value - minimum value
Plug in the necessary values and solve for the range.
range = 17 - 4
range = 13
Therefore, the range for the following set of scores is 13.
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How do you find the domain for the composition of two functions FG?
All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.
What is domain?A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.
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A triangle has sides with lengths of 12 feet, 16 feet, and 18 feet. Is it a right triangle?
Answer:
Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Right triangle fulfill the pythagorean theorem:
[tex]a^2+ b^2 = c^2[/tex]
Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.
[tex]12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18[/tex]
Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D
The best answer is t = 7. Option C
What is a quadratic equation?A quadratic equation is simply defined as an equation that could be rearranged in standard form.
It is also described as an algebraic equation having the highest exponent of as 2.
It is so arranged such that;
x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0It is important to note that the three methods of solving quadratic equation are;
FactorizationUsing the quadratic formulaUsing completing the square methodFrom the information given, we have that the form is;
x² = c
Given t squared minus 49 = 0
First, represent mathematically
t² - 49 = 0
Now, collect like terms, we have;
t² = 49
Take square root of both sides
t = √49
t = 7
Hence, the equation is t = 7
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What happens if you log a log?
The guidelines apply to logarithms of any base anyway a comparable base ought to be used all through a calculation. This guideline tells us how to add two logarithms together. Adding log An and log B achieves the logarithm of the consequence of An and B, that is log Stomach muscle.
As demonstrated by the norm of logs, a log of a base with similar bases will drop and will leave simply the power. Logarithms are models, and when you increment, you will add the logarithms. The log of a thing is the number of logs.
In case you have comparable systems on the different sides of a circumstance, they offset each other! Recollect that this conceivably works when the logarithms on the different sides of the circumstance have a comparable base.
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The minimum value of G in G ( x ) = 3 tan x is
The function G(x) = 3 tan(x) does not have a minimum value.
What are the relative extremas of a function?The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.
The extremas are classified as local minimum or local maximum, as follows:
Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.The tangent function does not have a local minimum, as it is increasing over it's entire domain.
The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.
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At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )
The measurements are found using congruency.
What does congruency mean?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
It is given that ABCD ≅ EFGH :
According to congruency,
22. AD = EH, so AD = 335 ft.
23. GH= CD, so GH = 45ft.
24. m∠GHE = m∠CDA, so m∠GHE= 52°
25. m∠BAD= m∠FEH, so m∠BAD= 52°
26. EF= AB, so EF= 45ft
27. BC= FG, so BC= 280ft
28. m∠DCB= m∠HGF, so m∠DCB= 128°
29. m∠EFG= m∠ABC, so m∠EFG= 128°
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How do you find the domain and range of a graph in Algebra 2?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Now, According to the question:
How do you find the domain?
Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
How do you find the range?
The range is calculated by subtracting the lowest value from the highest value.
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Approximately how many plant made pharmaceuticals are currently under different stages of discovery?
a. 100
b. 200
c. 300
d. 400
please select the best answer from the choices provided a b c d
Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.
Why do you use the term pharmaceutical?
pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.
What function do drugs serve?
Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.
The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."
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Can you solve this problem for me please
The required scale factor that Amir will use to go from Polygon F to G is 1/9.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units
Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9
Thus, the required scale factor that Amir will use to go from F to G is 1/9.
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Solve by factorising:
x^2+10x+21=0
Answer:
[tex]x = -7\\x = -3[/tex]
Step-by-step explanation:
The steps are in the image attached to this response.
If you take a number of times by four then subtract one you get the same is it you took the number standby shift then organise what is the number
The unknown number deduced by solving the equation 4x - 1 = 6x +9 is -5.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
Let the unknown number be x.
First multiply the number by 4 = 4x
Then subtract 1 from it = 4x -1
This results in the same number as when the number is multiplied by 6 and 9 is added to it = 6x + 9.
So the equation will be -
4x - 1 = 6x +9
4x - 6x = 9 + 1
-2x = 10
-x = 10/2
x = -5
Therefore, the number obtained is -5.
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If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?
What is the angle of turn clockwise from South East to North?
N
A 45°
B 135°
C 225°
D 315°
The angle of a turn clockwise from South East to North is Option B 135°.
When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).
If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.
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Find the measure of angle F
•40 POINTS• don’t explain.
Answer:
ASA-------------------------
We can see two angles marked as same, one of them is a right angle.
The included vertical side is common to both triangles so is a congruent side.
Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.
an elargemnet or expansion occurs when the absolute value of the scale factor is less than one true or false
Yes the statement is true.
What are scale factors in Dilation?An object is enlarged if the scale factor is greater than 1. An object is reduced if the scale factor is a fraction, less than 1. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Given here Absolute value of the scale factor is greater than 1
∴ The object is enlarged if the scale factor is greater than 1.
Hence, Yes the statement is true.
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Question 1 Use right triangle XYZ to complete the following parts. Question What is the length of XY in AXYZ? Type the correct answer in the box. Use numerals instead of words. XY = units
XY = 6 units is the length of XY in AXYZ .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.
Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
using the sine ratio in the right triangle and the exact value
sin30° = 1/2, then
sin30° = XY/XZ = XY/12 = 1/2 ( cross - multiply)
2XY = 12 ( divide both sides by 2 )
XY = 6
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The complete question is -
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
dont mind that i clicked on one lol but SOMONE PLEASE HELP RAHHAHAHAH
Here are the expressions that are equivalent to - 15 + 6x
What is an equivalent expression?
Expressions that are the same even if they may appear slightly different are called equivalent expressions. When you simplify equivalent expressions, they will all return the same value if you plug in the same variable value.
3(5 - 2x)
6x + (- 15)
15 + (- 6x)
The first one, -3(5-2x), can be simplified as -35+32x = -15 + 6x
The second one 6x + (- 15) is already in the same form as - 15 + 6x
The third one 15 + (- 6x) is just - 15 + 6x when you change the sign of -6x
The other expressions are not equivalent as they are not equal to - 15 + 6x
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The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.
On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
so, we have
There were = 150 tickets sold to the play
Student tickets cost $3 per ticket
so, total will be = 150* 3 = $450
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The scale on a map of Florida is 2 inches = 50 miles. What is the distance in miles
represented by a length on the map of 7 inches?
The distance in miles represented by a length on the map of 7 inches is 0.28
What is scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
Given;
The scale of a map says that 2 inches represents 50 miles.
2 inches = 50 miles
1 Mile = 2/50 inches
Hence, 7 Mile = 7 * 2/50 inches
7 Mile = 14/50 inches
7 Mile = 0.28 inches
Therefore, the scale factor of 7miles in the map will be 0.28inches
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Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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PLEASE SOMEONE HELPPPPP
Simplify (36)18
O a
Ob
Oc
Od
33
312
324
3108
Answer:
d. 3^108
Step-by-step explanation:
Just multiply 6 and 18.
45 PTS (find:m<3) don’t explain.
Answer:
142
Step-by-step explanation:
38+x = 180
x = 142
Please hurry its timed
The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:
d. θ = 330º + 360ºn, θ = 210 + 360ºn.
How to solve the trigonometric equation?The trigonometric equation for this problem is defined as follows:
2sin(θ) + 1 = 0
Then, isolating the sine, we have that:
2sin(θ) = -1
sin(θ) = -1/2.
The values of theta for which the sine is of negative 1/2 are given as follows:
θ = 210º, θ = 330º.
(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).
One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.
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What property of multiplication is 5x1 5 1x5 5?
The property used in this is the commutative law of multiplication.
What is the commutative law of multiplication?
In mathematics, commutative law refers to either of two rules relating to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Here, we have
Given: 5x1 = 5 = 1x5
We have to find which property of multiplication is applied here.
5x1 = 5
1x5 = 5
We concluded from the given statement that the commutative law of multiplication is applied here.
commutative law of multiplication: ab = ba
Hence, the property used in this is the commutative law of multiplication.
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What does it mean to translate coordinates?
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Now, According to the question:
What does translation of coordinates mean?
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Transformations of Graphs
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.
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Where is quadrant 4?
The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.
Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.
90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.
The x- and y-coordinates are both positive in quadrant I.
The x-coordinate is negative and the y-coordinate is positive in quadrant II.
The x- and y-coordinates are positive in quadrant III.
Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.
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