The equations which has the same value of x as the given equation; Three-fifths (30 x minus 15) = 72 are;
3 (6x - 3) = 7218x - 9 = 72x = 4.5Which equations have the same value of x as Three-fifths (30 x minus 15) = 72?Since the given equation in the task content is;
Three-fifths (30 x minus 15) = 72
The word phrase can be written algebraically as follows;
3/5 ( 30x - 15 ) = 72
The equation can therefore be solved as follows;
(3/5 × 30x) - (3/5 × 15) = 72
= ( 3 × 6x ) - (3 × 3) = 72
= 3 (6x - 3) = 72............. Equivalent expression.
By the distributive property; we have;
18x - 9 = 72..................... Equivalent expression
And by solving for the value of x; we have;
18x = 81
x = 81 / 18
x = 4.5
On this note, the equations which have the same value for x as; Three-fifths (30 x minus 15) = 72 are;
3 (6x - 3) = 7218x - 9 = 72x = 4.5Read more on equivalent equations;
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Unit 3: Relations and Functions
Homework 1: Relations,domain,range,and functions
The values of Relations, domain, range, and functions are calculated below.
What are the Relations, domain, range, and functions?
The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.
Domain - Set of x-values
Range - Set of y-values
3). Since, x values vary from x = -6 to x = 5,
The domain of the graph = [-6, 5]
Since, y-values vary from y = -2 to y = 3
Range of the graph = [-2, 3]
4).
The domain of the graph = [-3, 3]
Range of the graph = [-6, 5]
5).
Domain of the graph = (-∞, ∞)
Range of the graph = (-∞, ∞)
6).
Domain of the graph = (-∞, 4]
Range of the graph = (-∞, ∞)
7).
Domain of the graph = (-∞, ∞)
Range of the graph = [-1, 5]
8)
The domain of the graph = [-1, 5)
Range of the graph = [-3, 3)
Hence, the values of Relations, domain, range, and functions are calculated above.
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Describe the 3-D figure that would be formed if the figure is rotated about the y-axis. (You can say what it looks like.)
By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.
What kind of solid is generated by rotating a profile about the y-axis?
In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).
The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.
In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.
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We need help please.
Answer:
The slope is 3 or 3/1.
Step-by-step explanation:
I figure this out by finding out the two beginning points with this: (x1, y1) , (x2, y2). The two beginning points (-3, -5) , ( -2,-2). Then from there you are counting by 3 to get to the next point. I hope this helps.
The expression 102+24x represents the total amount, in dollars, a painter spends at a store to purchase paintbrushes and x gallons of paint. What does the 24 represent?
Responses
the cost per gallon of paint
the cost per paintbrush
the number of gallons of paint the painter purchases
the number of paintbrushes the painter purchases
24 represents the cost per gallon of paint.
What is slope?The process of finding the rate of change of the value dependent variable of the function changes with respect to that of the variable independent variable.
Given that, The expression 102+24x represents the total amount, in dollars, a painter spends at a store to purchase paintbrushes and x gallons of paint.
The equation is 102+24x
Here, the slope of the equation is 24, which tells the rate of change.
Hence, 24 is the cost per gallon of paint
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1.2x-5=6.8x-15
[tex]1.2x-5=6.8x-15\\[/tex]
17. Select the correct inequality and graph for the statement.
The highest temperature possible today is 95 °F.
The correct inequality for the statement - highest temperature possible today is 95 °F
x ≤ 95 °F
How to identify the correct statementThe statement saying the highest temperature possible today is 95 °F is represented by
knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards
assuming x represents the measles of the temperatures then
x is less than or equal to 95 °F means x can be any value but never greater than 95 °F
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f(x) = x^2 + 1. g(x) =. 5 - x
(F+ g)(x)
We will aggregate terms with the same degree.
[tex](f+g)(x)=(x^2+1)+(5-x)=x^2-x+6[/tex]Therefore, the answer to the question should be Option 3 or Option C) from the beginning.
I have this question can anyone solve
The double bar graph collected from the survey is given by the image presented at the end of the answer.
How to build the double bar graph?A bar graph shows the number of times that each observation appears in the data-set.
The double bar graph means that for each input on the bar graph, there are going to be two bars.
The meaning of each bar is given as follows:
Number of people who like watching the sport.Number of people who like participating in the sport.The colors for each bar are given as follows:
blue bar: people who like watching the sport.red bar: people who like participating in the sport.Then the data of the table is used to give the height of each bin in the double bar graph.
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Isabella will earn $30 per hour at her new job. During training, she will earn $20
per hour. What percent of Isabella's regular hourly rate will she earn during
training?
By solving a little system of equations we will see that the percentage is 66.67%
What percent of the regular hourly rate will she earn during training?
We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.
So we can write the relation:
$30 = 100%.
We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:
$20 = X
So we have two equations:
$20 = X
$30 = 100%.
If we take the quotient between these two we will get:
$20/$30 = X/100%
If we multiply both sides by 100% (so we solve the equation for X) we will get:
($20/$30)*100% = X
66.67% = X
So she will get a 66.67% of the regular hourly rate.
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Explain how the number line is used to determine the sum of -3 + 7 !!
Answer: Look at the explanation:
Step-by-step explanation: First, you start at -3 on the number line. Then, since we are adding 7, we would add 7 spaces to the right. That should lead us to our answer; 4. Another way how to model this is 7 + -3 or 7-3. They all equal 4. I hope this helped!
what is the value of 18 to the third power
Answer:
5832
Step-by-step explanation:
A quadrilateral has vertices at (2,4) (5,8) (9,5) (6,1)
The mid-point of the sides of this quadrilateral are the vertices of a parallelogram.
How to find the mid-side of the parallelogram?
You should know that in every parallelogram, the opposite sides are equal and parallel.
The given vertices are (2,4), (5,8), (9,5) and (6,1).
Let the vertices be A,B,C,D And the midpoints of the sides be M, N, O, P
Coordinates of A (2+5)/2 , (4+8)/2 = (3.5 , 6)
Coordinates of B (5+9)/2 , (8+5)/2 = (7,6.5)
Coordinates of C (9+6)/2 , (5+1)/2 = (7.5, 3)
Coordinates of D (6+2)/2 , (1+4)/2 = (4 , 2.5)
The distance between the vertices is denoted by the formula
distance = [tex]\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex]
AB= √(3.5-7)²+(3-6.5)² = √12.5 = 3.5
BC= √(7-7.5)²+(6.5.3)² = √6.5 = 2.5
CD= √(7.5-4)²+(3-2.5)² = √12.5 = 3.5
DA= √(4-3.5)²+(2.5-6)² = √6.5 = 2.5
From the calculations, it is clear that the opposite side of the quadrilateral are equal
This means that quadrilateral is a parallelogram
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The correct question:
A quadrilateral has the vertices at the point (2,4), (5,8), (9,5) and (6,1). Show that the mid-point of the sides of this quadrilateral are the vertices of a parallelogram.
The number of fish in a pond decreased by this year compared to last year.
Last year, there were fish in the pond.
How many fish are in the pond this year?
Answer:
number from last year - number of decrease
Step-by-step explanation:
The numbers are missing from the problem, but this is what you need to do.
Start with the number of fish in the pond last year.
Subtract the number of decrease.
the confidence interval approach is the correct method by which to determine sample size. true false
The confidence interval approach is the correct method by which to determine sample size. True
Confidence Interval:
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.
Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:
Confidence level = 1 − α
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the statement [tex]2(\frac{1}{2} x-5)[/tex], then x=20 is justified by what property?
The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.
How to find the property that justify the statement?Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.
Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.
Hence,
2(1 / 2 x - 5) , when x = 20
Therefore,
2(1 / 2 (20) - 5)
2(10 - 5)
2(5) = 10
Hence, the property is substitution property.
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True or false. When y is positive, the value of y^2 is always greater than the value of y. Why?
however if you have 0.5^2 which is 0.25 is that not smaller than 0.5
Answer: False
Step-by-step explanation:
If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].
Therefore, this is a counterexample. Hence, the statement is false.
If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?
Answer:
Below
Step-by-step explanation:
To complete the square, the coefficient of x^2 must be 1 ( it is already)
then take 1/2 of the x coefficient .... 1/2.... square it and add it to both sides of the equation
x^2 + x + 1/4 + 9 = 1/4
then you can reduce this to
( x+ 1/2)^2 + 9 = 1/4 for further 'solving'
A beetle is moving along a straight line at a constant rate. It moves 23 of a foot in 15 of a minute.
What is the average speed of the beetle?
The average speed of the beetle is 1.53 feet per minute.
What is the average speed?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Given that, it moves 23 of a foot in 15 of a minute.
Here, the average speed
= 23/15
= 1.53 feet per minute
Therefore, the average speed of the beetle is 1.53 feet per minute.
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Find the volume of a cube if one face of which has an area of 64 sq.metre
The volume of a cube is 512 m3.
Given,
The one-face area is nothing but the area of a square since it is a cube.
So, (a2) = 64 m2.
Then, a = 8m
Hence, the side of the cube is 8 m.
Formula to calculate the volume of the cube :
The volume of the cube = a3
Volume = (8)3
Volume = 512m3
Therefore, the volume of the cube is 512m3.
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dr. wade wilson is interested in whether or not people who watch adventure movies actually have quicker reaction times than people who read literary novels. he gathered a sample of 120 adventure movie lovers and a sample of 123 literature students who do not go to movies at all. all take a test of reaction times. what kind of statistical test should he run?
The statistical test which should be run by Dr wade Wilson is independent sample t test.
To ascertain whether there is statistical support that the linked population means are statistically substantially different, the Independent Samples t Test compares the means of two independent groups. An example of a parametric test is the Independent Samples t Test. Additionally called the Independent t Test.
When you wish to compare the means of just two groups—no more, no less—use an independent samples t test! This test is typically used to detect whether two population means differ.
Hence if dr. wade wilson is interested in whether or not people who watch adventure movies actually have quicker reaction times than people who read literary novels then he must use independent sample t test.
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complete this working to write 9³ as a power of 3
9³=9x9x9
so 9³= 3x3x3x ____
so 9³=3^y where y=____
Answer: y=6
Step-by-step explanation:
will mark brainliest pls
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The figures are similar, and the ratio of the perimeters is 2: 5. Find x.
Answer: x=3.2
Ste by Step
We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that the perimeters of x is
x=3.2
From the question we are told
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Generally the equation for the the ratio is mathematically given as
2=x
and
5=8
Therefore
x=3.2
Therefore
the perimeters of x is
x=3.2
x − 3y = −12 2x − y = 1 (1 point) a line includes points 0 comma 1 and negative 3 comma negative 4. A line includes points 0 comma negative 4 and negative 6 comma negative 2 a line includes points 0 comma 4 and 1 comma 3. A line includes points negative 2 comma 2 and negative 4 comma 0 a line includes points 0 comma negative 1 and 1 comma negative 3. A line includes points 6 comma negative 10 and 3 comma negative 11 a line includes points 0 comma 4 and 3 comma 5. A line includes points 1 comma 1 and 2 comma 3
By graphing the system of equations, we can see that the solution is (3, 5).
How to solve the system of equations?
I assume we want to solve the following system of equations graphically:
x - 3y = -12
2x - y = 1
To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.
There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.
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PLease help meh im begging you
Determine the measurement of ∠A, the angle marked in red.
The measure of ∠A is __________Degrees?
Answer:
x= 222 degress
Step-by-step explanation:
If a fair die is rolled 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 3 twos?
7.08 is the probability, rounded to the nearest thousandth.
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur.
We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.
Probability of getting a six on rolling a dice = 1/3
Here ,
n = 4 , p = 1/3
So, For P(X <= 1) = P(X = 0) + P(x = 1)
4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)
= 1 * 1 * (5/3)^4 + 4 * (1/3) *
= 5.75 + 1.33
= 7.08
= 7.08 (nearest thousandth)
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which statement must be true?
Answer:
DF=FE
Step-by-step explanation:
first to make it easier we can find the angles to each side
the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180
(3x+5)+(4x-15)+(2x+10)=180
9x+0=180
/9. /9
x=20
now we can find each angle
3(20)+5
60+5
D=65 degrees
4(20)-15
80-15
E= 65 degrees
2(20)+10
40+10
F=50 degrees
Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT
Since there are 2 of the same angles this is an isosceles triangle
the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal
hopes this helps
Elena's distance and times for a training run are given by the equation y=8.5x, where x represents distance in miles and y represents time in minutes
Elena is covering a distance of 8 miles in one minute.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x
Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.
Therefore, Elena is running at a speed of 8.5 miles per minute.
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Assessment
arry Hill, Nicholas
Daniel ran 5 miles in 1 hour. He ran the same pace for each of the 5 miles.
Daniel's unit rate is
minutes per mile.
Daniel's unit rate in minutes per mile of running is 12
What is unit rate?The amount per unit of an item is represented by the unit rate.
To determine the unit rate of an item, we divide
How to find the rate in minute per mileIf Nicholas Daniel ran 5 miles in 1 hour
5 miles = 1 hour = 60 minutes
1 miles = ? minute
cross multiplying
60 * 1 = 5 * ?
? = 60 / 5
? = 12 minutes per mile
Daniel will take 12 minutes to run 1 mile
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Janice is starting classes at Hellenson University in the fall. The cost of tuition for one year is $14,700. Janice earned an engineering scholarship that covers one-third of her tuition. She has also saved $1,000 to use for this year's tuition. Janice and her parents have agreed to each pay half of the remaining tuition. How much money will they each pay for Janice's tuition this year?
Answer: 4400
Step-by-step explanation:
The scholarship covers $14,700 / 3 =
14700/3=4900
4900 of Janice's tuition.
After the scholarship, Janice still needs to pay $14,700 - $4900 = 9800 for tuition.
Janice has saved $1000, so she needs to come up with an additional $9800 - $1000 = 8800 for tuition.
Janice and her parents will each pay $8800 / 2 = 4400
Please give the answer 5 stars if you find it helpful!
Happy to help!
What is 213 divided? Also how do you break 23 into tens and ones?
Answer:
What is 213 divided? 2 I think
Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones
