Answer:
[tex]The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\[/tex]
[tex]Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)[/tex]
[tex]We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45[/tex]
7) A $125.70 grocery total is discounted 30%. What is the total paid?
Answer:
$37.71
Step-by-step explanation:
125.70/10 = 12.57
12.57 * 3 = 37.71
Answer:
37.71
Step-by-step explanation:
Please please me I need help
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y=-5x+1
Step-by-step explanation:
First lets identify what slope intercept form looks like:
y=mx+b
m=slope
b=y-intercept
the y-intercept would be at (0,1)
choose 2 points from the graph and lets find the slope.
The formula for slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]
The points we will be using will be (1,-4) and (2,-9)
so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]
2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]
set up the equation.
[tex]\frac{-9-(-4)}{2-1}[/tex]
[tex]\frac{-5}{1}[/tex]
m = -5
So the slope is -5 and the y-intercept is 1
[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]
So the equation will be
y=-5x+1
Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,
I've included a picture so you have a visual.
If you need further assistance, don't be afraid to reach out. Hope this helps!
The slope represents the ________ of a line.
Answer:
Gradient
Step-by-step explanation:
The slope represents the gradient of a line
A billboard displays a large picture of a tire, draw to scale. The actual tire has a diameters of 40 inches. If the scale used for the picture is 1 3/4 feet equals 2 inches, what is the diameter of the tire, in feet, on the billboard? Plz I need it
Answer:
Diameter of the tire, in feet = 35 feet
Step-by-step explanation:
Given:
Actual diameter of tire = 40 inches
Scale; 1 3/4 feet = 2 inches
or
1.75 feet = 2 inches
Find:
Diameter of the tire, in feet
Computation:
Diameter of the tire, in feet = 40[1.75/2]
Diameter of the tire, in feet = 35 feet
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Graph the line that has a slope of 6 and includes the point (0,4).
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The slope m = 6The point (0, 4)The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 6x+4[/tex]
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
what is 130.45 + 3.287 ?
Step-by-step explanation:
130.45 + 3.287 = 133.737
Hope it will help :)
A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction answer
Answer: [tex]15[/tex] or [tex]\frac{15}{1}[/tex]
Step-by-step explanation:
We need to divide 300 by 20.
We get [tex]15[/tex] or [tex]\frac{15}{1}[/tex].
Answer:150
Step-by-step explanation: if you do 30/2=15 add a zero=150
Find the volume of the prism
Answer:
v = 80 cubic unit
Step-by-step explanation:
volume = length × height × width
v = 5unit × 2unit × 8unit
v = 80 cubic unit
Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $32, and the company charges a $4 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $25 per pound, but the shipping fee is $9.
Which piecewise function models the cost of x pounds of trout?
Answer:
F (x) = {32x+4, 0 < x < 10
25x + 9, x _> 10
Step-by-step explanation:
sorry if I’m wrong!
Wendy’s cell phone bill costs $76.54 each month. This month she has an extra charge of $12.78 added to her bill. How much is her cell phone bill this month?
Answer:
this month Wendy's cell phone costs $89.32
Step-by-step explanation:
7654
1278
______
8 9 3 2
89,32
Evaluate y=−4x+3, for x=4.
Answer:
y = -13
Step-by-step explanation:
Given
x = 4
y = - 4 * 4 + 3
= - 16 + 3
= - 13
Hope it will help :)
Which function is graphed on the coordinate plane below?
A.) f(x) = 2x - 6
B.) f(x) = 2x + 6
C.) f(x) = -2x + 6
D.)f(x) = -2x - 6
Answer:last answer for 50 points brother wh
Step-by-step explanation: yes ok
Answer:
Option A is the correct answer
Step-by-step explanation:
because you have a y-intercept of -6 and then your slope it's going up 2 and to the right 1 which is 2/1=2
The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many seconds did it take for the bucket to hit the ground? Round to the nearest second
Answer:
6.64 seconds
Step-by-step explanation:
Given that:
Distance between roof of the terminal and ground = 709 feet
A bucket was dropped from the roof.
To find:
The time taken by the bucket to hit the ground?
Solution:
Distance traveled, [tex]s[/tex] = 709 feet
Initial velocity of the bucket, [tex]u[/tex] = 0 feet/sec (because initially it was at rest)
Acceleration of the bucket will be equal to acceleration due to gravity i.e.
[tex]g[/tex] or 32.1741 [tex]ft/sec^{2}[/tex]
Let the time taken is [tex]t[/tex] seconds.
Formula for distance is given as:
[tex]s = ut+\dfrac{1}{2}at^2[/tex]
Putting all the values:
[tex]709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}[/tex]
PLEASE HELP BRAINLIEST AND POINTS!!
Answer:
Help with what....??
Step-by-step explanation:
when 10 is subtracted from x, the result is 6
Answer:
x=16
Step-by-step explanation:
x-10=6
x-10+10=6+10
x=16
A triangle has angle measurements 24º and 85°. What is the measure of the remaining angle?
Enter your answer in the box.
Answer:
71 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180.
180 - 24 - 85 = 71.
The required measure of the remaining angle would be 71°
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
A triangle has angle measurements of 24º and 85° which is given in the question.
The linear pair of angles are adjacent angles the sum of their measures is 180°
∵ The two angles form a linear pair
∴ The sum of the two angles = 180°
Let the measure of the remaining angle would be x
⇒ 24° + 85° + x = 180°
⇒ x = 180 - 24° - 85°
⇒ x = 71°.
Therefore, the required measure of the remaining angle would be 71°
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ6
7th grade math help me please :))
Answer:
Try 300
Step-by-step explanation:
Because one full order would be 20 dollars and 20 times 15 equals 300
Answer:
your answer is option C $188
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Through: (4,-3), slope= -1/6
Answer:
dont know .
Step-by-step explanation:
Use the rectangle to find x and y
solve for x
i have no clue what i’m doing help!
Answer:
x = 8
Step-by-step explanation:
Given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x = 4 × 10 = 40 ( divide both sides by 5 )
x = 8
Please help.
Anna is currently 8 years older than her sister Taylor. In 4 years she will be 2 times as old as Taylor. Let x be Taylor’s current age and answer the question
How oldies Taylor (numerical form)
Answer:
Taylor is currently 12
Step-by-step explanation:
x = Taylor's current age
x + 8 = Anna's current age
in 4 years: x + 8 + 4 = 2x
12 = x
Answer:
If anna 8 yrs older and she will be 2 times older in 4 yrs then anna is 20
Taylor is currently 12
Step-by-step explanation:
in 4 years 24 will be anna
At the beach, denise and her sister both built sandcastles and then measured their heights. Denise's sandcastle was 1 7/12 feet tall and her sister's was 5/12 of a foot tall. How much taller was denise's sandcastle than her sister's? In mixed number
Answer: [tex]1 \frac{2}{12}\ ft[/tex]
Step-by-step explanation:
The height of Denise castle is [tex]1 \frac{7}{12}=\frac{12\times 1+7}{12}=\frac{19}{12}\ ft[/tex]
height of her sister [tex]\frac{5}{12}\ ft[/tex]
Difference between the height of the castle
[tex]\Rightarrow \frac{19}{12}-\frac{5}{12}=\frac{14}{12}[/tex]
In mixed fraction it is [tex]\frac{14}{12}\ or\ 1 \frac{2}{12}\ ft[/tex]
Elsa buys x pencils at 8 cents each and y pens at 12 cents
each.
What is the total cost?
Answer:
20 cents
Step-by-step explanation:
8+12=20 cents
please mark me as brainliesT!!!<2
-2/3 x = -3/2 dont unserstand how to solve this
Answer:
yall dum
Step-by-step explanation:
make X the subject of the formula
will mark brainliest!!
Answer:
[tex]y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }[/tex]
hope this helps.
A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?
Answer:
A. 0.0058
Step-by-step explanation:
Which relationships have a constant of proportionality equal to 25? Pick 2 answers
Answer:
B and C.
Step-by-step explanation:
If you divide the y value by the x value then it would be 25 for B and C. A and D do not work. A does not work because as you move along the graph 25 divided by 2 and anything higher is not 25. I hope this helps!!
Answer:
b and c
Step-by-step explanation:
because 75/3=25
125/5=25 and and you already have the graph!
The bike store marks up the wholesale cost of all bikes they sell by 30%. The wholesale price of the bike is $96.00. What would we pay for the retail price?