Answer:
Slope of this line is given by:
Aaron’s rate for mowing lawns is 0.5 acres per hour
Step-by-step explanation:
It is given that time is tracked by Aaron related to x coordinate.
and the area of land mowed in acres is related to y coordinate.
Two of his points are given as:
(3, 1.5) and (5,2.5)
We know that the coordinates are represented in the form of (x,y)
i.e. first coordinate represents x coordinate and
second coordinate represents y coordinate.
So, it can be observed that:
[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]
Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]
i.e. total time taken is 2 hours.
Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]
i.e. total land mowed taken is 1 acre.
In other words, it takes 2 hours for Aaron to mow 1 acre of land.
So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.
Rate of mowing lawn is the land mowed by Aaron in 1 hour.
Land mowed in 2 hours = 1 acre
Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre
Also, slope of a line is given as:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex]y_2 - y_1 = 1[/tex]
[tex]x_2 - x_1 = 2[/tex]
As per formula:
[tex]m = \dfrac{1}{2} = 0.5[/tex]
So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.
Using the slope concept, it is found that the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
---------------------------
A linear function has the following format:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.---------------------------
In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]
Thus, the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
A similar problem is given at https://brainly.com/question/17460142
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?
gohead ask a teacher or another site
I need the same question to
The difference of six times a number and seven results in 35.
Identify the steps necessary to solve the equation.
A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice
The difference of six times and seven results in 35.
Difference - subtract
Times - multiply
Result - answer
The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.
6x - 7 = 35
The answer would be...
B. Divide by 6, and then subtract by 7.
Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)
Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 [tex]\ngeqslant[/tex] 1000
⇒ 930 [tex]\ngeqslant[/tex] 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 [tex]\geq[/tex] 1000
⇒ 1054 [tex]\geq[/tex] 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 [tex]\geq[/tex] 1000
⇒ 1170 [tex]\geq[/tex] 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 [tex]\geq[/tex] 1000
⇒ 1280 [tex]\geq[/tex]1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
For more details, prefer this link:
https://brainly.com/question/11897796
Alison is buying notebooks for school. Small notebooks cost $3 each, and large notebooks cost $5 each. If Alison needs to buy at least 12 notebooks and has no more than $45 to spend, what is the maximum number of large notebooks she can buy?
Answer:
7 large notebooks and 3 small notebooks.
Step-by-step explanation:
If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.
Brainliest is greatly appreciated
Answered by: SKylar
6/8/2020
12:13 PM (Eastern Time)
Answer: 9 notebooks
Step-by-step explanation:
It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.
The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.
The sides of the triangle are 11m, (2n+3)m and 16m
Answer:
15m
Step-by-step explanation:
perimeter=total distance round a figure
40m=11m+16m+2n+3m
40m=30m+2n
50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m
How many numbers are in the list 1,4,7...........,2005, 2008? URGENT!
Answer:
670 numbers
Step-by-step explanation:
T1=1*3-2
T2=2*3-2
T3=3*3-2
...............
Tn=n*3-2
n*3-2=2008
n*3=2010
n=2010:3
n=670 (numbers)
Answer:
2005-1=2004 so there is 2004 numbers
every 3 numbers 1 is chosen
2004/3=670
670 numbers are in between
Hope this helps
Step-by-step explanation:
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
complementary angles
adjacent angles
Answer:
Supplementary angles
Adjacent angles
Step-by-step explanation:
They add up to a straight line, which is 180 degrees, therefore they are supplementary.
They also share a side and the corner point, hence adjacent.
Answer: A,D Supplementary Angles
Adjacent Angles
Step-by-step explanation: K12 3.04 test
What must be added to each term of the ratio 2:3 so that it may become equal to 4:7
Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
What is the vertex form of the parabola from daredevil dannys practice jump ?
Answer:
the vertex form of the parabola from daredevil dannys practice jump is: 47538Step-by-step explanation:
2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538
The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32
But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)
fyi the link is without spaces
Solve x - 3 < -1. Graph the solution.
Answer: x < 2
Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.
Since 3 is being subtracted from x, we add 3
to both sides of the inequality to get x < 2.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
40=8y
How do I solve this!?!?!
Answer:
y = 5
Step-by-step explanation:
40=8y
this is one step equation so you need to divide both sides by 8 to solve for y
40/8 = y
y = 5
Find the volume of the cone
Answer:
489.84 m3 es la respuesta
upper limit of 40 to 50
Answer:
So the class mark of class interval 30 - 40 is " 35 "
Which shows the fractions in order from greatest to least?
A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6
Answer: A
Step-by-step explanation:
3/6= 0.5
4/9= 0.444
3/7= 0.428
3/10= 0.3
0.5 > 0.444....> 0.428 > 0.3
which graph shows the solution to the system of linear inequalities x-4y< 4 y < x+1
Answer:
Third graph in the image attached
Step-by-step explanation:
Let's rewrite the first inequality:
x - 4y < 4
-4y < 4 - x
4y > x - 4
y > x/4 - 1
We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)
Now, for the second inequality, we have:
y < x+1
We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)
Now, if we combine these solutions, we have the third graph in the image attached.
The crossing point can be found making the value of y from one line equal the value of y from the other line:
[tex]x/4 - 1 = x + 1[/tex]
[tex]x - x/4 = -2[/tex]
[tex]3x/4 = -2[/tex]
[tex]3x = -8[/tex]
[tex]x = -8/3[/tex]
[tex]y = x + 1 = -5/3[/tex]
The crossing point is (-8/3 , -5/3)
Answer:
its c
Step-by-step explanation:
edge
Please help me with my question!!!
Answer: They can make 18 ornaments
Step-by-step explanation:
you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)
Help me please I need help!!!!
Answer:
Answer B (proportional)
Step-by-step explanation:
The variable y and x are related by the constant of proportionality "6" in the expression
y = 6 x
Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.
y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2 is the slope
Step-by-step explanation:
Slope (gradient) = rise/run or (y1 - y2/x1 - x2)
We will take the points so that we have a whole number:
Therefore the two points are:
(10,0) and (30, -40)
Now the gradient;
(y1 - y2/x1 - x2)
0 - -(40) / 10 - 30
40/-20
-2/1
-2
Mark my answers as brainliest if helped thanks!
Triangle ABC was translated according to the rule T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image
Answer:
(-5.5, 3.2)
Step-by-step explanation:
According to the question, the data provided in the question is as follows
(x,y) = (x + 4.5 , y -6.2)
Now
(x + 4.5 , y -6.2) = (-1,-3)
Therefore
x + 4.5 = -1
So, the x equals to
= -1 - 4.5
= -5.5
Now
y - 6.2 = -3
So, the y is
= - 3 + 6.2
= 3.2
hence, the coordinates of point C of x and y is (-5.5, 3.2)
Therefore the third option is correct
Answer:
C
Step-by-step explanation:
HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?
Answer: y= 5, 10, 15, 20, 25
Step-by-step explanation:
1, 2, 3, 4, and 5 each are 1 number apart
5, 10, 15, 20, 25 each are 5 numbers apart
the rate of change is 1/5
The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
Neither
Step-by-step explanation:
When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.
Plz sub to Rebel_IOSツ on yt!
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5let's see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
ASAP PLS! WILL MARK BRAINLYEST AND 6TH GRADE MATH
Answer:
The correct answer is B!
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Question
Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]
Answer:
[tex]\frac{4m^3}{n^5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4mn}{m^{-2}n^6}[/tex]
Required:
Simplify
To simplify this, we start by splitting each individual function
[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]
From laws of indices
[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]
SO, the above expression can also be expressed the same way
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]
From laws of indices,
[tex]a^{-x} = \frac{1}{a^x}[/tex]
So,
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]
Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]
Answer:
A
Step-by-step explanation:EDGE (not sure if im right let me know)
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
h(x) = 4x+48Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
Answer:
h(x) = 4x+48
Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
Pleas please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
10/9
Step-by-step explanation:
average rate of change in 0≤x≤9
=(3-(-7))/(9-0)=10/9
Answer:
The solution is 10/9
Step-by-step explanation:
Step 1: identify the right approach:
Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.
Step 2: Perform the calculation:
As shown in picture,
x = 0 => g(x) = -7
x = 9 => g(x) = 3
=> The change of x over interval [0, 9] is:
x_change = 9 - 0 = 9
=> The change of g(x) over interval [0, 9] is:
g(x)_change = 3 - (-7) = 10
=> The average rate (r) of change of g(x) over interval [0, 9] is:
r = g(x)_change/x_change = 10/9
Hop this helps!
:)
A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?
Answer: 85/12 fewer bushels per acre
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given and solve it:
We simply have to divide the total loss (21 1/4) by the number of acres (3):
Mathematically speaking:
21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre
Feel free to ask for more if needed or if you did not understand something
The average loss per acre is [tex]7\frac{1}{12}[/tex]
The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres
[tex]21\frac{1}{4}[/tex] ÷ 3
In order to solve this question, the mixed number has to be changed to an improper fraction.
Steps to take :
1. Multiply the whole number by the denominator ( 4 x 21 = 84)
2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)
3. divide the number gotten in the previous step by the denominator (85/4)
[tex]\frac{85}{4}[/tex] ÷ 3
= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]
A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The answer of X would be 80°.
<FBD+100=180 (Co interior angle)
<FBD= 80
X= <FBD = 80° ( Being alternate angle)
An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Explain what a direct line segment is and describe how you would find the coordinates of point P along a directed line segment AB that partitions segment AB so that the ratio of AP to PB is 3:1
Answer:
P = (A +3B)/4
Step-by-step explanation:
A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.
Line segment AB begins at point A and ends at point B.
The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.
AP : PB = 3 : 1
(P -A) / (B -P) = 3 / 1
P -A = 3(B -P) . . . . . . . . multiply by (B-P)
P +3P = A +3B . . . . . . . add A+3P
P = (A +3B)/4
You can find point P by filling in the coordinate values in the formula just found.
_____
Comment on the general case
If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...
P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points
What is the function of f(x)
Answer:
f(x) = 5/2x+7
Step-by-step explanation:
The y intercept is 7
We have 2 points (0,7) (2,12)
We can find the slope
m = (y2-y1)/(x2-x1)
= (12-7)/(2-0)
= 5/2
We can use slope intercept form
y = mx+b
y = 5/2x+7
f(x) = 5/2x+7
