Answer:
x = 5
Step-by-step explanation:
5x - 1 = 24
=5x = 24 + 1
=5x = 25
=5x/5 = 25/5
x = 5
Hence the value for x is 5.
Answer:
Step-by-step explanation: 5x - 1 = 24
=> 5x = 24 + 1
=> x = 25/5
=> x = 5
Elimination
3x-y=-1 and -3x-y=5
The equation 3x - y = - 1; - 3x - y = 5 when solved using the elimination method is x = -1 and y = -2 respectively.
How to solve simultaneous equation using elimination method?3x - y = - 1
- 3x - y = 5
Subtract the equation to eliminate y
3x - (-3x) = - 1 - 5
3x + 3x = - 6
6x = - 6
divide both sides by 6
x = -6 / 6
x = -1
Substitute x = -1 into
3x - y = - 1
3(-1) - y = -1
-3 - y = - 1
- y = - 1 + 3
-y = 2
y = -2
Therefore, the solution to the simultaneous equation is (x, y) = (-1, -2)
Read more on elimination method:
https://brainly.com/question/25427192
#SPJ1
Mr. Vivaldi is getting ready for the spring orchestra concert.
Every 10 seconds in escalator step rise is 6 feet
a)
Think of this as a graph
Time (x)-10-20-30-40
Distance escalator rises (feet)
b) Draw a graph to represent the situation. All axis must be properly labeled using appropriate skills that at least four data points fit on the graph c) what is the slope line
d) interpret the unit rate
e) what is the equation of the line
The equation y = 0.60x. The 0.60 represents the 0.60 feet in each second rise. The table is completed below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Every 10 seconds in the escalator step rise is 6 feet.
Let 'y' be the number of feet and 'x' be the number of seconds. Then the equation is given as,
y = 0.60x
Then the table is given as,
Time (x) Distance escalator rises (feet)
10 6
20 12
30 18
40 24
The 0.60 represents the 0.60 feet in each second rise.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ1
A person takes up 20 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 25 rows of bleachers, how many people can fit into the stands?
Answer:
Generally, figure the average person takes up 18 inches of space on a bleacher seat. That is the industry standard. Therefore, for 4-row bleachers, consider these lengths and seating capacity. 7.5 feet – 20 seats (90 inches divided by 18 inches equals 5 seats, times 4 rows equals 20 seats).
Step-by-step explanation:
I need help with this question for my homework please
[tex]\overline{A}[/tex] = {0, 1, 4, 5, 6, 7, 8}, [tex]\overline{B}[/tex] = {2, 4, 7, 9}, A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9} and
A ∩ B = {3}.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Given,
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is a universal set.
A = {2, 3, 9} and B = {0, 1, 3, 5, 6, 8}.
[tex]\overline{A}[/tex] = (U - A) = {0, 1, 4, 5, 6, 7, 8}.
[tex]\overline{B}[/tex]= (U - B) = {2, 4, 7, 9}.
A ∪ B = U - {7}.
A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9}.
A ∩ B = {3}
learn more about sets and Venn diagrams here :
https://brainly.com/question/28318748
#SPJ1
Because his goal is to bike 65 miles over four days, what equation can be used to find the number of miles he should bike on the first day, x? Do not combine like terms.
Answer:
y = 16.25x
Step-by-step explanation:
y is the total number of miles.
x is the number of days.
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
Learn more about linear equation here:
brainly.com/question/545403
#SPJ1
Which reason completes the proof for step 6? A. Definition of slope B. Definition of midsegment C. Definition of median D. Definition of midpoint
The reason that completes the proof for step 6 is given as follows:
D. Definition of midpoint.
How to obtain the midpoint of a segment?The midpoint between two points is the halfway point between them, hence it is found obtaining the mean of the coordinates of each endpoint.
Thus the coordinates of P' are obtained as follows:
x: (2r + 0)/2 = r.y: (2s + 0)/2 = 2.(applying the mean of the coordinates of x and y for the endpoints of the segment P').
The coordinates of R' are obtained as follows:
x: (0 + 2t)/2 = t.y: (0 + 0)/2 = 0.The coordinates of Q' are obtained as follows:
x: (2r + 2t)/2 = 2(r + t)/2 = r + t.y: (2s + 0)/2 = s.Meaning that the correct option is given by option D.
Missing InformationThe problem is given by the image presented at the end of the answer.
More can be learned about the midpoint of a segment at https://brainly.com/question/896396
#SPJ1
You have two different saving accounts.for A, the interest earned after 18 months is 12.00. For account B, the interest earned after 27 months is 27.00 Which account earned you the most interest in the first year? Explain your answer
Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.
Which account earned you the most interest in the first year?This means that Account A earned 12.00 in 1 year, while Account B only earned 9.00 in the same time period.The account that earned you the most interest in the first year depends on the interest rate for each individual account.To find out which account earned you the most in the first year, we can use the equation A = P(1+r/n)^nt. In this equation, A stands for the amount of money in the account, P stands for the principal amount, r stands for the interest rate, n stands for the number of times the interest is compounded per year, and t stands for the number of years. For account A, plugging in the numbers given, we get A = P(1+12/18)^18. In this equation, P represents the principal amount in account A after the first year.For account B, plugging in the numbers given, we get A = P(1+27/27)^27. In this equation, P represents the principal amount in account B after the first year. By comparing the two equations, we can determine which account earned you the most interest in the first year.If we compare the two equations, we find that account B earned you more interest than account A in the first year because the interest rate for account B was higher than the interest rate for account A. Therefore, account B earned you the most interest in the first year.To learn more about earning interest at different rates refer to:
https://brainly.com/question/25793394
#SPJ1
The diagram shows a prism. 1m 2m front 2m 1m 2m side front elevation Draw the front elevation and the side elevation of the prism on the grids. Use a scale of 2 squares to 1 m. side elevation
The required Front view and a Side view of the given prism have been shown.
What is 3d geometry?3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.
Here,
"Front view" and "side view" refer to two different perspectives of an object or a scene. "Front view" is a perspective of the object or scene as seen from the front, and "side view" is a perspective of the object or scene as seen from the side.
Thus, the required Front view and Side view of the given prism has been shown.
Learn more about 3d -geometry here:
https://brainly.com/question/15451289
#SPJ1
The distance of a ball thrown upward is given by h(1) = -2t^2 + 12t - 10 meters. Find the velocity of the ball when it returns to the ground.
A. 3 m/s
B. 5 m/s
C. -8 m/s
D. -10 m/s
The velocity of the ball when it returns to the ground is -8 m/s
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The distance of a ball thrown upward is given by:
h(t) = -2t² + 12t - 10
The ball hits ground when h(t) = 0, hence:
-2t² + 12t - 10 = 0
t = 5 or 1
The velocity (V) of the ball is:
V = dh/dt
V = (d/dt)(-2t² + 12t - 10) = -4t + 12
V = -4t + 12
The ball hits ground when t = 5 or 1 s, hence:
V(1) = -4(1) + 12 = 8 m/s
V(5) = -4(5) + 12 = -8
The velocity on the ground is -8 m/s
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson.
Below is a diagram that models this problem using lines. Which of the following could be the equation for the line representing the second road leading from the junction to Garrison?
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. The road junction to Timpson is option B. 20.57 miles.
How did we get the value?To find the distance between Timpson and the junction point, we can use the Pythagorean theorem. Let's call the distance "d".
d^2 = (60 - 22)^2 + 12^2
d^2 = 38^2 + 144
d^2 = 1444
d = √(1444) = 38.03
So the distance between Timpson and the junction point is 38.03 miles. The distance between the junction point and Ashburn is simply 22 miles, so the total distance from Timpson to Ashburn is 20.57 miles (38.03 + 22).
Therefore, the distance between the road junction to Timpson is option B. 20.57 miles
learn more about distance:
https://brainly.com/question/26046491
#SPJ1
The complete question goes thus:
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. How far is the road junction to Timpson
A. 21.57miles
B. 20.57miles
C. 10.57miles
D. 57.12 miles
What the means of lathi charges
Answer:
the police tactic of charging a crowd with lathis or batons in order to disperse it
A cruise ship has 2,400 regular passengers. Children makes up 120 of them, 23 are teenagers and the rest are adult passengers. What fractional part of the regular passengers are the adult passengers?
Answer:
[tex] \frac{2257}{2400} [/tex]
Step-by-step explanation:
2400 - (120+23)
=2400 - 143
=2257
Therefore,
2257
2400
I have my homework overdue and i can't figure out how to do this can someone teach me
3y = 4x + 2 is a linear equation that satisfies the graph.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Few coordinates of a linear function to make the equation of line we need only two coordinates.
general formula for linear equation is y = mx + c
where, m = slope
c = constant
General formula for slope m = (y₂ - y₁)/(x₂ -x₁)
Since graph passes through the points(3, 6) and (0, 2)
Slope m = (2 - 6)/ (0 - 3)
m = -4/-3 = 4/3
Thus, equation of line will be
y = 4/3x + c
Since the Line passes through (0, ,2 ) these point will satisfy the above equation
2 = 4/3 * 0 + c
=> c = 2
substitute the values
y = 4/3x + 2
3y = 4x +6
Therefore, equation of line that relates with the graph is 3y = 4x + 6.
Learn more about Linear Function here:
https://brainly.com/question/20286983
#SPJ1
A= xIx is a letter in the word tale
What is the cardinal number?
Answer:
Assasination
Step-by-step explanation:
TBH I think this is it. I did some research and this is what I got. weird huh?
Hope this helps :)
Looking for the answer of a to the power of 3 - B to the power of 3
The expression a³ - b³ is not a feasible mathematical operation.
What are index forms?The index form of a number is described as that number that is written in the form of an exponential expression, or single number having another number or variable as its power.
It is a mathematical method of writing numbers that are too large or too small in a more convenient form.
Other names for index forms are standard forms and scientific notation.
Some of the rules for the addition, subtraction or multiplication of index forms are;
In multiplying index forms, the bases must be the same for you to add the powers. In dividing index forms, the bases must be the same for subtraction of the exponential valuesIn the presence of brackets, multiply the powersFrom the information given, we have that;
a³ - b³
From the rules given, this is not mathematically feasible as the bases are not similar.
Hence, the expression is non-feasible
Learn more about index forms here:
https://brainly.com/question/15361818
#SPJ1
I don't understand this, USE YOUR SKILLS AND HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
The required cost of the construction of a 4.5-inch tower is the amount of $114.75.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The cost of construction is $25.50 per inch.
We have to determine the amount it costs to fund 4.5 inches of the construction.
As per the question, we have
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction would be:
= 25.50 × 4.5
Apply the multiplication operation, and we get
= $114.75.
Thus, the required cost of the construction is $114.75.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ1
Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
(a)
number of students in a class of 32 who turn in a term paper before the due date
categorical
numerical (discrete)
numerical (continuous)
(b)
gender of the next baby born at a particular hospital
categorical
numerical (discrete)
numerical (continuous)
(c)
amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop
categorical
numerical (discrete)
numerical (continuous)
(d)
thickness of the gelatin coating of a vitamin E capsule
categorical
numerical (discrete)
numerical (continuous)
(e)
birth order classification (only child, firstborn, middle child, lastborn) of a math major
categorical
numerical (discrete)
numerical (continuous)
The correct classifications for these variables are a = numerical discrete, b= categorical, c= numerical continuous, d= numerical continous, e= categorical.
What is the difference between a numerical and a categorical variable?As indicated by their name, numerical variables can be measured using numbers; here are some examples:
Weight of a person: 170 poundsDistance between two cities: 645 kilometersNumber of students in a class: 25 studentsOn the other hand, categorical variables fit into categories, for example:
Female vs Male
Dog vs cat
What is the difference between discrete and continuous?Discrete variables differ from continuous variables because they are obtained by counting, for example, the number of students in a classroom, while continuous variables need to be measured, for example, the distance.
Based on this the correct classification is:
A. Numerical (discrete) = the number of students in a class of 32B. categorical =gender of the next baby born at a particular hospitalC. Numerical (continuous) =amount of fluid (in ounces)D. Numerical (continuous) =thickness of the gelatin coating of a vitamin E E. Categorica, =birth order classification (only child, firstborn, middle child, lastborn)Learn more about variables in: https://brainly.com/question/17344045
#SPJ1
(04.03 LC)
Which of the following fractions compares BC to BD?
O
213
O
5/2
-3-
-24
2
O
1
O
-1-
B
T
C
2
D
3 4
5
6
The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).
Here, BC is
BC=√[(2-0)²+(1-1)²]
BC=2 units
BD is
BD= √[(3-0)²+(1-1)²]
BD= 3 units
The fraction compares BC to BD is 2/3
Therefore, option A is the correct answer.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).
Answer choices:
A) 2/3
B) 5/2
C) 2/5
D) 3/2
Answer:
2/5
Step-by-step explanation:
d = √[(x2 - x1)² + (y2 - y1)²]
For segment BD:
BD = √[(5 - 0)² + (1 - 1)²]
= √[5² + 0²]
= √25
= 5
For segment BC:
BC = √[(2 - 0)² + (1 - 1)²]
= √[2² + 0²]
= √4
= 2
Graphing Lines How would you graph 10x-3y=15
Answer:
Step-by-step explanation:
To graph 10x-3y=15, start by rearranging the equation to the slope-intercept form of y = mx + b, where m = the slope and b = the y-intercept. 10x-3y=15 becomes 3y = 10x - 15. Solve for y by dividing both sides by 3 to get y = (10/3)x - 5.
Now that the equation is in the slope-intercept form, draw a graph on a coordinate plane. Start by plotting the y-intercept at (0, -5). Next, use the slope of 10/3 to determine the rise and run of the line. The rise is +10 and the run is +3. Starting at the y-intercept, draw a line that moves up 10 and to the right 3, and continue doing this until you reach the end of the graph. This line is the graph of 10x-3y=15.
Answer:
y=10/3x+5
(0,5), (3,15)
Step-by-step explanation:
First, put the graph in slope-intercept form. We can do this by subtracting 10x from both sides.
-3y=-10x-15
Next, we divide by -3.
y=10/3x+5
If you don't know how to graph an equation with slope-intercept form,
it is in the format of y=mx+b, where m is the slope (in this case, 10/3) and b is the y-intercept (in this case 5, or (0,5)). First graph the y-intercept.
(0,5).
Then implement the slope. Here we would go up by 10 and then go right by 3. This makes our second point (3,15).
Now that we have two points (0,5) and (3,15), just construct your line.
A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?
Answer:
36290.4$
Step-by-step explanation:
First of all we should find out how much farmer spent on 240 acres
240 × 188.99 = 45357.6
Then, let's find out the price for whole bushels he gets
240 × 60 × 5.67$ = 81648
Therefore his profit is,
81648 - 45357.6 = 36,290.4$//
Please please look at the picture and answer the question thank you
Answer:
[tex]y = 3x - 1[/tex]
Step-by-step explanation:
Let's define the terms we are given to understand what the question is asking us to do:
⭐What is a linear function?
an equation that looks like a straight line when graphedthe highest exponent is 1⭐What is slope-intercept form?
it is one way you can write the equation of a linear function[tex]y = mx + c[/tex]m = the slope (how steep the line is)c = the y-intercept (the y-value for when x = 0)Thus, we need to write the equation of the table in slope-intercept form.
To do so, we can first find the y-intercept (c).
When x = 0, y = -1.
Therefore, the y-intercept (c) of the equation is -1.
Substitute this value into the slope-intercept form equation.
[tex]y = mx - 1[/tex]
Next, to find the slope, we have to use this formula:
⭐[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x_1,y_1)[/tex] is a coordinate that you are given[tex](x_2, y_2)[/tex] is another coordinate you're givenI am going to choose the coordinates (1,2) and (2,5), but you can choose any other coordinates you are given that ISN'T (0,-1).
Substitute these coordinates into the slope formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{5-2}{2-1}\\m = \frac{3}{1}\\m = 3[/tex]
Therefore, the slope of this line is 3.
Substitute this value into the slope-intercept form equation.
[tex]y = mx - 1\\y = 3x - 1[/tex]
Hence, the equation of the linear function represented by the table is:
[tex]y = 3x - 1[/tex]
⭐if this response helped you, please mark it the "brainliest"!⭐
In triangle ABC, the measure of angle B is 21 less than four times the measure of angle A and the measure of angle C is more than five times the measure of angle A. Find the measure, in degrees, of each angle of triangle ABC.
Answer:
Step-by-step explanation:
Find the value of x that makes the quadrilateral a parallelogram.
Answer:
x=2/3
Step-by-step explanation:
If I am correct, I would make them both equal each other.
6x=3x+2
3x=2
x=2/3
6(2/3)=3(2/3)+2
4=2+2
4=4
if the line passing through the points (a,2) and (4,9) is parallel to the line passing through the points (3,11) and (a+1,3) what is the value of a?
Answer:
a = 18
Step-by-step explanation:
The slopes of parallel lines are equal as
[tex]m_{2}=m_{1}[/tex]
We know that the slope formula is
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where y2, x2, y1, and y2 are any two points.
Thus, since the slopes are equal, we can use the slope formula to find the slopes of both lines and set them equal to each other to find a:
[tex]\frac{9-2}{4-a}=\frac{3-11}{(a+1)-3} \\\\\frac{7}{4-a}=\frac{-8}{a-2} \\\\7(a-2)=-8(4-a)\\7a-14=-32+8a\\7a=-18+8a\\-a=-18\\a=18[/tex]
If we plug in a for any of the two lines, we see that the slope is -1/2
Line 1 w/ (a, 2) & (4, 9):
[tex]\frac{9-2}{4-18}\\ \frac{7}{-14}\\ \frac{-1}{2}[/tex]
Line 2 w/ (3, 11) & (a+1, 3):
[tex]\frac{3-11}{18+1-3}\\ \frac{-8}{19-3}\\ \frac{-8}{16}\\ \frac{-1}{2}[/tex]
Choose a symbol that correctly compares the fractions below 5/8 and 10/16
Answer: 5/8 "=" 10/16
Step-by-step explanation: To compare the fractions 5/8 and 10/16, we need to find a common denominator. In this case, the least common multiple of 8 and 16 is 16.
So, we can write the fractions as:
5/8 = (52)/(82) = 10/16
So the fractions are equal, therefore, the symbol that correctly compares them is = (the equal sign).
Answer: =
Step-by-step explanation:
In order to compare the fractions, we must make sure that the fractions have common denominators. Because 8 is a factor of 16, we will convert 5/8 into a fraction that has a denominator of 16. To do this, we need to multiply the numerator and denominator by the same number, in this case, 2 since that is what multiplies by 8 to get 16. (5/8) * (2/2) = 10/16 (you can just multiply across the top and bottom to solve). Now, we can compare. 10/16 is the same as 10/16, so an = would be the appropriate symbol. Hope this helps!
The floor of a round hut has a diameter of 4 yards. What is the floor's area?
Step-by-step explanation:
The floor of a round hut has a diameter of 4 yards. What is the floor's area?
Answer:
12.56637 or 4 pi hope this helps
A reservoir in the shape of a right circular cylinder is to contain 79,200 L of water. If the radius of the cylinder is 3 m, find its height.
Please find attached herewith the solution of your question.
Answer: 2.8 m
Hope it helps.
If you have any query, feel free to ask.
Find the area of the rectangle below be sure to include the correct unit in your answer
Answer:
The area is 48 feet^2
Step-by-step explanation:
The area of a triangle can be calculated with the following formula:
area=1/2(base)(height)
Substitute in the numbers and find the answer.
a=(0.5)(6)(16)=48
