Therefore , the solution of the given problem of ratio comes out to be Jessie votes to Rachel votes is 6:5.
A ratio is what?A ratio is the simple expression "a / b," where "b" must not be greater than zero, for an ordered pair of numbers "a" and "b." Two ratios are combined to form a ratio. The ratio might be represented as 1:3 if there was just one man and three girls. 3/4 are girls, while 1/4 are boys. A part is a statistic, a percentage of something's size, or a distinction between two or more objects.
Here,
Given: Rachel received 50 votes,
Mario got 40 votes, and Jessie got 60.
To calculate the proportion of Jessie votes to Rachal votes:
Thus,
=> 60 : 50
=>6:5
Therefore , the solution of the given problem of ratio comes out to be Jessie votes to Rachel votes is 6:5.
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the toll on a highway us based on the miles driven. If the toll in a 15-mile stretch on a highway is $0.60. find the cost to drive a 80-mile stretch
Answer: $3.20
Step-by-step explanation:
We have
15-mile stretch = $0.60
80-mile stretch = x
Cross Multiply
15 × x = 80 × $0.60
x = 80 × $0.60/15
x = $3.20
Hence, the cost to drive an 80-mile stretch is $3.20
In kite ABCD, BE = –x + 6 and ED = 0.5x. Determine the value of x in the kite shown.
Answer: X=4
Step-by-step explanation:
.5x=-x+6
1.5x=6
x=4
12 sodas for 3.24 find the unit rate
Answer:
Step-by-step explanation:
0.27 is the answer
Do the side lengths 9 12 and 15 form a right triangle?
The sides of lengths 9, 12 and 15 will form right angled triangle with 15 as hypotenuse.
We can check if the mentioned side form right angled triangle or not by checking the values through Pythagoras theorem. The hypotenuse will be 15 from mentioned sides, as it is longest. Now, writing the Pythagoras theorem.
Hypotenuse² = Perpendicular² + Base²
15² = 9² + 12²
Taking square on the right and left hand side of the triangle
225 = 81 + 144
Performing addition on Right Hand Side of the triangle
225 = 225
Since both sides of equation are equal, hence, right angled triangle can be formed.
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you select a sample of 30 scores from a population of 1,000 scores. you compute the mode, median, and mean on the sample of 30 scores. you then select another sample of 30 scores from the same population. what measure of central tendency is likely to vary least between your first and second samples
The measure of central tendency that is likely to vary least between the first and second samples of 30 scores is the median.
The median is less affected by outliers and variations in the sample compared to the mean and mode, making it less likely to vary between samples.
The median is a measure of central tendency that represents the middle value of a dataset when it is ordered by value. It is a robust statistic, which means that it is not easily affected by outliers or variations in the sample. This is because the median only looks at the middle value of a dataset, and does not take into account the values of the entire dataset, unlike the mean.
The mode, on the other hand, is the value that appears most frequently in a dataset. It is affected by variations in the sample because it is based on the frequency of values. A different sample of the same population may have a different distribution of values, resulting in a different mode.
The mean is the sum of all the values in a dataset divided by the number of values. It is affected by outliers, as a single large or small value can greatly affect the mean. In small samples, the mean can be affected by small variations in the sample.
In conclusion, since the median is based only on middle value of the sample, it is less affected by variations in the sample and outliers, making it less likely to vary between samples.
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Use the point in the graph to find the equation of the line in point-slope form
A
y-3=5(x-1)
B
y+3=5(x+1)
C
y+3=5(x-1)
D
y-3=5(x+1)
Answer: the correct answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of the graph in the slope intercept form is
y = 5x -2
The slope is 5. If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4). The slope is the rise over the run.
[tex]\frac{5}{1}[/tex] = 5.
The y -intercept is where the line crossed the y axis (0,-2)
The y intercept is -2
A
y - 3 = 5x - 5 Add 3 to both sides
y - 3 + 3 = 5x - 5 + 3
y = 5x -2
Are there 360 or 361 longitudes?
There are 360 longitudes. Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian.
There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west.
Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian. This Prime Meridian is the reference point which divides the planet into two equal halves. There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west. The longitudes are also referred to as meridians and they are used to measure the exact location of any place on the earth's surface. This helps in navigation and also in mapping the world. Each meridian is assigned a numerical value, ranging from 0 degrees at the Prime Meridian to 180 degrees at the International Date Line. The longitudes are also used to calculate time zones, with 15 degrees representing one hour of time difference. Therefore, the total number of longitudes will always remain 360, no matter the size of the earth.
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The diameter of a child's bicycle wheel is 12 inches. Approximately how many revolutions of the wheel will it take to travel 1,200 meters? Use 3.14 for π and round to the nearest whole number. (1 meter ≈ 39.3701 inches)
It will take 1274 revolutions to cover 1200 meters
What is the area and circumference of a circle?
The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: The diameter of a child's bicycle wheel is 12 inches.
The diameter of the wheel is 12 inches=0.30 m
∴ circumference=3.14 ×0.3
=0.942
Therefore the number of revolutions are = 1200/0.942
= 1274
Hence, It will take 1274 revolutions
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Answer:
its 1254 revolutions
Step-by-step explanation:
you multiply 39.3701 by 1200 which gives 47,244.12 and you multiply 12 by 3.14 and that gives 37.68 so you then divide 47,244.12 by 37.68 which will give you a very long decimal including 1253 which becomes rounded to 1254
Answer: D. 1254 revolutions
Someone please answer this for me!
the answer is 22 only because I said so and that mean I’m right
helppp pls ive been here ages
The final velocity in the given equation is −0.5, when the acceleration is -5.
What is velocity?The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.
Speed and velocity are different in that:
i) velocity is a vector quantity, meanwhile speed is a scalar quantity.ii) Speed is always positive, in contrast to velocity, which can be either positive or negative.iii) The difference between velocity and speed is the amount of distance covered in a given amount of time when moving in a specific direction.v = u + at
here,
a = average acceleration
v = final velocity
u = initial velocity
t = time
given, u = 2
a = -5
t = 1/2 = 0.5
putting the values
v = 2 + (-5)(0.5)
v = 2 - 2.5
v = −0.5
Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.
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The perimeter of a rectangle is 108 ft. If the length is 24 ft more than the width, find the dimensions of the rectangle. 
The dimensions of the rectangle will be -
x {length} = 39 ft
y {width} = 15 ft
What is the area of a rectangle?The area of a rectangle is -
Area = Length x Breadth
A = L x B
Given is the perimeter of a rectangle is 108 ft. Also the length is 24 ft more than the width.
We can write the length is equivalent to -
x {length} = y {width} + 24
The perimeter will be -
2(x + y) = 108
x + y = 54
y + 24 + y = 54
2y = 30
y {width} = 15 ft
Then, we can write the length as -
x {length} = 15 + 24 = 39
x {length} = 39 ft
Therefore, the dimensions of the rectangle will be -
x {length} = 39 ft
y {width} = 15 ft
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question is in picture below
Answer:
C
Step-by-step explanation:
[tex]-12<4x \leq 8 \\ \\ -3<x \leq 2[/tex]
Answer:
[C] x > -3 and x ≤ 2
Step-by-step explanation:
[tex]\mathrm{Given:}-9 < 4x+3\leq 11[/tex]
[tex]\mathrm{{If}\:a < u\le \:b\:\mathrm{then}\:a < u\quad \mathrm{and}\quad \:u\le \:b}[/tex]
[tex]-9 < 4x+3\quad \mathrm{and}\quad \:4x+3\le \:11[/tex]
[tex]\mathrm{solving\;the\;first\;one}:-9 < 4x+3[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]4x+3 > -9[/tex]
[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x > -12[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4} > \frac{-12}{4}[/tex]
[tex]x > -3[/tex]
[tex]\mathrm{Now\;with\;the\;second\;one}:4x+3\le \:11[/tex]
[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x\le \:8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}\le \frac{8}{4}[/tex]
[tex]x\le \:2[/tex]
Therefore, the answer is [C] x > -3 and x ≤ 2
RevyBreeze~
Discuss the position of the Anti-Federalists related to ratification of the Constitution. Use facts.
The anti-federalist assumed that using the constitution will increase the oppression of the people by those in power but regardless, the constitution was ratified
What is Anti-FederalistThe Anti-Federalists were a group of individuals who opposed the ratification of the Constitution. They believed that the Constitution granted too much power to the central government and did not adequately protect the rights of individual states and citizens. They argued that the Constitution should include a bill of rights to safeguard individual liberties and that the government should be more closely modeled after the Articles of Confederation. Additionally, some Anti-Federalists believed that the Constitution would lead to the rise of an aristocracy and the oppression of the common people. Despite their opposition, the Constitution was ultimately ratified in 1788 with the support of Federalists.
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If BD=7x -10, BC = 4x-29,and CD=5x-9 , find each value
Since x is 1 and BD=7x -10, BC = 4x-29, and CD=5x-9, the values of BD, BC, and CD are 4 and 21, respectively.
what is number line ?An introduction to mathematics tool is the number line, which is a visual depiction of real numbers. It is a representation of an intensity line. Each precise figure is taken to symbolize a point on the real number, and each precise figure is taken to indicate a point. On a number line, distances between increments are equal. A train's values can only be answered in the way that is specified by those numbers. The question that coincides with the number will define how it is used. B: Speak your mind.
given
BD = BC + CD
7x - 10 = 4x-29 + 5x-9
x = 2
Since x is 1 and BD=7x -10, BC = 4x-29, and CD=5x-9, the values of BD, BC, and CD are 4 and 21, respectively.
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Paula is 10 less than thrice Kaye's age. Two years from now, Paula's age is twice Kaye's present age. How old is Kaye now?
( Please show solution )
Answer: Kaye is 4 years old
Step-by-step explanation:
Paula is 10 less than thrice of Kaye's age. two years from now, Paula's age is twice Kaye's present age. how old is Kaye now? Let Kaye's age now be x years Paula is 10 less than thrice of Kaye's age =3x-10 TWO YEARS LATER Paula,s age = (3x-10)+2 = 3x-8 3x-8 =x 2x=8 x=4 Kaya,s age = 4 years
What is the value of x? round to the nearest tenth, if necessary. responses x = 4 x, = 4 x = 5 x, = 5 x = 6.2 x, = 6.2 x = 9.4
By Using Pythagorean Theorem, the value of x is 6.2 units.
Pythagorean Theorem:
In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.
a² +b² =c²
Now,
By using the Pythagorean theorem:
Hypotenuse² = Perpendicular² + Base²
Now,
In the Δ ABD
As given
DB² = DA² + AB²
As given
DB = 13 units
AB = 9 units
Putting values in the above
13² = 9²+ DA²
169 - 81 = DA²
88 = DA²
Now,
In ΔABC
AB² = AC² + CB²
(As given AB = 9 units , CB = x)
9² = AC² + x²
AC ² = 81 - x²
Now in ΔADC.
AD² = AC² + DC ²
As
AC ² = 81 - x²
DC = 13 - x
AD = [tex]\sqrt{88}[/tex]
(√88)² = 81 -x² +( 13 - x²)
By using the formula (a + b)² = a² + b² + 2ab
88 = 81 - x² + 13²- 2 × 13 × x + ²
⇒ 88 = 81 - x² + 13² - 26x + x²
⇒ 88-81 - 169 = -26x
⇒ 88-250 =-26x
⇒ -162 = - 26x
x = 6.2 (Approx.)
Therefore the value of x is 6.2 units.
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Find the sum of the measures of the interior angles of a convex nonagon.
The sum of the measures of the interior angles is ?
answer
7π radians
steps
non in nonagon means 9
nonagon has 9 sides
convex means each angle is less than 180°
sum of interior angles convex N -sided polygon =
π(N −2) radians
π(9 −2) radians
7π radians
socratic
wikipedia
cuemath
mathworldwolfram
oxfordlanguages
Answer:
7πradians
Step-by-step explanation:
non in nonagon means 9
nonagon has 9 sides
convex means each angle is less than 180°
sum of interior angles convex N-sided polygon=
π(N-2) radians
π(9-2) radians=
7πradians
A student uses 4 cup of peanuts to make 3 cups of
Trail Mix. Using this same proportion, how many cups of
peanuts are needed to make 5 cups of Trail Mix?
Answer quickly I gotta finish my work asap
Answer:
6 [tex]\frac{2}{3}[/tex] cups
Step-by-step explanation:
we can set up a proportion:
[tex]\frac{4}{3}[/tex] = [tex]\frac{t}{5}[/tex] 't' equals the number of cups of peanuts to make 5 cups trail mix
now we can cross-multiply to get:
3t = 20
t = 20/3 or 6 2/3 cups
Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month, what was the account balance at the end of the month?
The account balance at the end of the month is $-1.04.
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 Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month.
The balance after the end of the withdrawal and deposits will be,
Account balance = $62.72 + $94.57−$87.78−$16.36−$64.92 + $10.73
Account balance = $-1.04
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How do i make a study guide for graphing and functions HELP
Does 8cm 15cm and 17cm form a right triangle?
Answer:
No, the sides of a right triangle must obey the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 8^2 + 15^2 = 64 + 225 = 289, which is not equal to 17^2 = 289. Therefore, 8cm, 15cm, and 17cm do not form a right triangle.
Step-by-step explanation:
What is the y-intercept of the graph?
Answer:
The y-intercept is the vertical line (population of butterflies)
Gabriel earns $11.25 per hour at his job. He also receives a bonus of $20 each week if he arrives on time for each of his shifts. Assuming Gabriel is always on time, and x is the number of hours he works, which rule for f(x) models his weekly paycheck?
his pay check equation will be f(x) = 11.25x + 20
What is the solution to the following inequality
-8 < 4( 8 - 2x) ?
Answer:
X < 5, or 5 > X
Step-by-step explanation:
Open up the parenthesis on the left side
-8 < 32 - 8x
Isolate -8x
- 8 - 32 < -8x
We can rewrite the inequality to make it easier to solve
-8x > -8 - 32
-8x > -40
Now solve for X, keep in mind you must switch the inequality sign when dividing by negatives
x < 5
Drag the red and blue dots along the x-axis and y-axis to graph
3x+8y=27
Answer:
Hope this helps you
Step-by-step explanation:
3x+8y=27 (0,9) .... look at picutre
Out of a cla of 24 tudent, 7/14 of the total tudent were
choen for drill, 4/16 of the total tudent were choen for variou race, 1/6 of the total
took part in gymnatic. The ret of them did not attend the Sport Day. I) How many tudent did not attend the Sport Day?
2 students did not attend the Sports Day.
In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction.
Given that,
Total number of students in a class = 24
Total number of students chosen for drills = 7/14 = 7/14 *24 = 12
Total number of students chosen for various races = 4/16 = 4/16 *24 = 6
Total number of students chosen for gymnastics= 1/6= 1/6* 24 = 4
Thus, the Total number of students participating in sports day = 12+6+4 = 22
Hence, the Total number of students that did not attend sports day= 24 - 22 = 2
Therefore, 2 students did not attend the Sports Day
Correct question: Out of a class of 24 students, 7/14 of the total students were chosen for drills, 4/16 of the total students were chosen for various races, and 1/6 of the total took part in gymnastics. The rest of them did not attend the Sports Day.
i) How many students did not attend the Sports Day?
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What is the Sin(B)? need help! Thanks
If f(x)=x is the parent graph, then which equation represents the shown transformation?
y-axis 6 5 4 3 2 1 x=ax S 4 -3 2 -1 1 2 3 4 5 6 -1 -2.
What is transformation?It refers to the act, process, or instance of transforming or being transformed. Regarding transformative learning, Mezirow indicates learning occurs when there is a transformation in one of our beliefs or attitudes, or a change of our entire perspective. Learn more in: Connecting Teachers' Dispositions With Their Teaching Philosophies2.A process of change and development. When it refers to human transformation, it implies an internal change and growth to one’s highest potential or best oneself, which affects one’s worldview, behaviors, and thought. Learn more in: Two Languages, One Self: The Story of My Bilingual Journey3.In general it is a result of an effect of environment that changes an object. In everyday practice it is a set of actions that change the state or properties of different materials, goods, services or knowledge. Learn more in: Instructional Technologies of the XXI Century: Theoretical ApproachTo learn more about Theoretical Approach refer to:
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A transformation modifies the parent function's graph.
What is meant by Transformations?The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.
A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.
Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.
The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.
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What is the radius of a globe that has a volume of 904.78 in.³?
Since the globe is in a shape of a sphere, the radius of the globe with a given volume of 904.78 in.³ is equal to 6 in .
What is a sphere?The sphere is a three-dimensional form that is sometimes referred to as a circle's second cousin. A sphere is a solid form that is circular, without borders. Examples of spherical shapes include a playing ball, a balloon, and even light bulbs.
What is the formula for calculating the volume of a sphere?The formula for calculating the volume of a sphere is given by,
Volume of a sphere (V) = [tex]\frac{4}{3} \pi r^{3}[/tex] .
Where [tex]\pi[/tex] = 3.14 and r is the radius of the sphere.
Given information in the question,
volume of a sphere(V) = 904.78 in.³
Radius (r) = ?
To find the radius of the sphere, using the formula for volume of sphere,
Volume of a sphere (V) = [tex]\frac{4}{3} \pi r^{3}[/tex] .
or, 904.78 = [tex]\frac{4}{3} \pi r^{3}[/tex]
Therefore, r = 6 in.
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A 10 1/2 -inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour?
Answer:
1 [tex]\frac{3}{4}[/tex] inches per hour
Step-by-step explanation:
10 [tex]\frac{1}{6}[/tex] ÷ 6
10.5 ÷ 6 = 1.75
1.75 is the same as 1 [tex]\frac{3}{4}[/tex]