The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
[tex]y - 3555 = -45(x - 1)[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
m is the slope, which is the rate of change.The point is [tex](x_0, y_0)[/tex].We have two points: (1, 3555) and (8,3240).
Taking the first point, [tex]x_0 = 1, y = 3555[/tex].The slope is given by change in y divided by change in x, thus:[tex]m = \frac{3240 - 3555}{8 - 1} = -45[/tex]
Then
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 3555 = -45(x - 1)[/tex]
The amount after 60 days is y when x = 60, thus:
[tex]y - 3555 = -45(60 - 1)[/tex]
[tex]y = 900[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A similar problem is given at https://brainly.com/question/13967935
When attempting to do his homework, Mark incorrectly uses the addition property of equality below. Which
statement would correct Mark's error?
1) 8 + x = 2
2) 8-8 + x = 2
3) x = 2
A. To balance the equation, Mark should also subtract 2 from the right side of the equation in step
2.
B. To balance the equation, Mark should also subtract 2 from both sides of the equation in step 2.
C. To balance the equation, Mark should also subtract 8 from the right side of the equation in step
2.
D. To balance the equation, Mark should also add 8 to both sides of the equation in step 2.
Answer: Its actually C
Step-by-step explanation: Correct on edge 2022
Moesha and Keyon are mailing invitations for their wedding. They have $50 to spend and each invitation costs $1.25 to mail. The function m=50−1.25w represents the amount of money m Moesha and Keyon have left after mailing w wedding invitations. Find the zero of the function. Describe what this value means in the context of this situation.
Answer:
The zero of the equation is 40
It means the number of wedding invitations they can send based on their budget
Step-by-step explanation:
To determine the zero of the function, we simply set the dependent variable ( m in this case) to zero.
Thus, mathematically;
0 = 50-1.25w
1.25w = 50
w = 50/1.25
w = 40
So what does this mean in the context of the situation?
What it means is that the total number of people they would be able to send the mail to based on their budget is 40
Answer:
The zero of the function is at
40. This represents that after mailing 40 wedding invitations, Moesha and Keyon will $ 0 left.
Step-by-step explanation:
I got it right and so will you
A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering different numbers of T-shirts. Write a
linear model that represents the cost as a function of the number of shirts
Answer:
y=8x+36
Step-by-step explanation:
Use y=mx+b. First find m, the slope.
To do that, use y2-y1/x2-x1. Use any two point combinations from the table. You can use (6,84) and (12,132).
Y2 would be 132 and Y1 would be 84, and X2 would be 12 while X1 is 6. Just look at the pointss. For example, Y2 is 132 because (12,132). 132 is in y's spot. Same goes for x.
Now that we got y2, y1, x2, and x1, we can plug it into the formula and solve.
y2-y1/x2-x1= 132-84/12-6= 48/6= 8
This means the slope is 8. Now, we need to find the y intercept.
Use y=mx+b again and use any pair of points. I'm going to use (6,84).
y=mx+b. Plug in the slope, which is 8.
y=8x+b
y=8x+b. Plug in the y. The y variable is 84 so plug that in.
84=8x+b. Same for the x. The x variable is 6 so plug that in as well.
84=8(6)+b. Now simplify it.
84=48+b. You want to isolate b to find the y intercept so move the 48 to the left side.
It's now 84-48=b. The 48 because negative because whenever you move a number to the other side, it switches its sign.
Solve.
84-48=b
36=b or b=36. So the y intercept is 36.
We now have our slope and the y intercept.
Slope: 8
Y intercept: 36
We can plug that into y=mx+b a final time.
y=8x+36
The equation of the linear model is y = 8x + 36
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let x represent the number of T-shirts and y represent the cost
Therefore we can use any two points to determine the linear equation to represent the model of the line in the form (x, y).
Using the points (6, 84) and (24, 228). The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-84=\frac{228-84}{24-6} (x-6)\\\\y-84=8x-48\\\\y=8x+36[/tex]
The equation of the linear model is y = 8x + 36
Find out more at: https://brainly.com/question/24839942
PLS HELP ASAP!!!!!!!!!!!!!!!!!
Answer:
Last option
Step-by-step explanation:
[tex]r^{-7} = \frac{1}{r^{7} }\\ \\s^{-12}= \frac{1}{s^{12} }[/tex]
{6 + [(3 * 2) - (2 * 2)]} ÷ 2
Find the difference. Write your answer in simplest form.
10 1/5 - 2 1/6=
Answer:
8 1/30
Step-by-step explanation:
(10-8) + (1/5 - 1/6)
Answer:
8 1/30
Step-by-step explanation:
Find the common deminator, then subtract!!
‼️WILL LIST BRAINLIEST ‼️Explain the Error: Jayme tells her friend that ordered pairs that have an x-coordinate of O lie on the x-axis. She uses the origin as an example. Describe Jayme s error and why that statement is false,
A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who brought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answer:
[tex]5.50c+5.50a[/tex]
Step-by-step explanation:
Cost of 1 ticket = $5.50
Total number of children who brought tickets = c
Total number of adults who bought tickets = a
Amount earned from selling tickets to children = 5.50 c
Amount earned from selling tickets to adults = 5.50 a
Therefore,
Total money earned by the company from the sale of tickets = [tex]5.50c+5.50a[/tex]
What is the volume of 9m 5m 18m 10m 9m 24m
Answer:
450
Step-by-step explanation:
u multiply 9*5*10 and then u get the answer
solve 2x−3y=−1 , 3x+4y=24
Solve for x step by step 8b + 2b = 10
Answer:
b = 1
Step-by-step explanation:
Move all terms that don't contain b to the right side and solve.
Answer:
Add
8 b and 2 b =10 b
Step-by-step explanation:
because 8+2 = 10
and the are alike terms
they both have b so that means they are alike terms
hope this helped
y to the 3rd power= 27
help pls
Answer:
y=3
Step-by-step explanation:
its a simple equation.
[tex]\huge\boxed{3^3}[/tex]
Your question seems to be asking what is y. Therefore, it is 3³.
Remember, y³ is [tex]\boxed{y*y*y}[/tex].
[tex]\boxed{Y\; cannot\; = 1\; since\;1*1*1 =1 }[/tex][tex]\boxed{Y\;cannot\;=3\;since \;2*2*2 = 8}[/tex][tex]\boxed{Y\; = 3 \;since\; 3*3*3 = 27.}[/tex]Hope it helps!!
Live earns $9.50 for every two bracelets she sells. The equation y=4.75x ,where x represents the number of bracelets and y represent t total cost in dollar earned.represents this situation.what is the constant of prop rationality? What does the constant of proptionality represent in the contexts of the problem?
Answer:
Price of each bracelet = $4.75
Step-by-step explanation:
Given:
y =4.75x
In equation;
y = kx
where k is constant
So , we say that 4.75 is constant of proportionality
So price of each bracelet = $4.75
A washing machine has a regular delicate and permanent price cycles with hot warm or cold wash describe all the washing options available
Question 1
Which of the following statements is NOT true?
The ratios of the rise to
the run for the triangles
are equivalent
У.
The slope of Āč is ž
2.
B В
-2
-A
The slope of AB is
different than the
slope of BC.
AB has the same slope
as AC.
Answer:
Option (C)
Step-by-step explanation:
Option (A)
Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{3}[/tex]
Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
Therefore, the ratios of the rise to run are equivalent in both the triangles.
True.
Option (B)
Slope the line AC will be same as segments AB and BC which lie on the same line AC.
Slope of AC = [tex]\frac{2}{3}[/tex]
True.
Option (C)
Since, the segments AB and BC are the parts of line AC
Slope of AB = Slope of BC = Slope AC
Therefore, slope of AB and BC can not be the same.
False.
Option (D)
Since, segment AB is a part line AC, slope of both will be same.
True.
Option (C) is not true.
Answer: The slope of AB is different than the slope of BC
Step-by-step explanation:
That’s the answer
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles.
Answer:
B. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
Step-by-step explanation:
If x represents the number of miles driven by the taxi
Then, amount charged= $ (2.50+1.95x)
Isaac was charged $27.46
2.50+1.95x = 27.46
Subtracting both sides by 2.50, we get
1.95x= 24.96
Dividing both sides by 1.95, we get
x=12.8
The linear equation will be 1.95x + 2.50 = 27.46
Amount charged to pick up passenger = $2.50 to pick up a passenger
Amount charged per mile = $1.95 per mile
Since Isaac was charged $27.46, then the equation will be:
2.50 + 1.95(x) = 27.46
2.50 + 1.95x = 27.46
Therefore, the linear equation will be 1.95x + 2.50 = 27.46
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https://brainly.com/question/24446296
geometry solving for x in triangles
Answer:
- 8°
Step-by-step explanation:
Step 1:
40° + x + 58° + 90° = 180° Sum of a Δ
Step 2:
188° + x = 180° Combine Like Terms
Step 3:
x = 180° - 188° Subtract 188 on both sides
Answer:
x = - 8°
Hope This Helps :)
hello guys please help 96 ÷ 3
Answer: 32
Step-by-step explanation:
This is a simple question:
If you want to know if its divisible by 3 then just add up the digits in 96.
In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5
Now use long division to solve:
96 divided by 3 = 32
Hope this helps! :)
BRAINLIEST
anjaya is making punch. He uses 1··3c of pineapple juice for every 3··4c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work please
Answer: 11/3
Step-by-step explanation:
Answer:
He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.
Step-by-step explanation:
Orange Juice:
3 cups / 3/4 cups = 12/3 = 4
Pineapple Juice:
1/3 × 4 = 4/3 cups= 1 1/3 cups
PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!
Answer:
I think B
Step-by-step explanation:
13.77 times the number of people gives you your answer, so probably C=13.77p
Four movie tickets cost $40.00 dollars( look above for the rest of the question plss answer fast
Answer:
-7.5 US$
Step-by-step explanation:
that's how i got it =)
Answer: The answer is B
Step-by-step explanation:
I will give 15 points please help!
Answer:
b
Step-by-step explanation:
which graph represents the function y=(x+3)^2+1?
1. Find the quotient 8 divided by 1/5
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
please help I'll mark as brainliest
Step-by-step explanation:
-1.5x =9
-x=9/1.5
x=-6
answer the question below, topic: scaled topies
Answer:
The answer is C
Step-by-step explanation:
So, in A, the ratio is 5:3- understand? And in C, the ratio is 10:6. You multiply 5(2) and 3(2), and you get 10:6
-Hope this helped!
Evalúa las siguiente expresión algebraica,
considerando que: a=2, b=-3, c=1, d=-2 *
*
2ac + 5bd
Answer: 34
(2)(2)(1) + (5)(-3)(-2) = 34
4 + 30 = 34
Answer:
2·2·1+5·(-3)·(-2)= 34
Step-by-step explanation:
What is 256 square root??
Answer:
16
Step-by-step explanation:
[tex]\sqrt{256} \\=\sqrt{16 * 16} \\=16[/tex]
Answer: 16
Step-by-step explanation: √
256=16
at least that's the positive square root
−16
is also a square root of 256.
16²=(−16)2=256
By definition, the principal square root of a number is the positive square root. The term "the square root" is commonly used to refer to the principal (positive) root though there are usually two roots.
Solve for b Step by step
2+3b=5b-4
Answer:
b=3
Step-by-step explanation:
You want to put the variables on one side, so to get rid of the 3b, subtract 3b from both sides
2+3b-3b=5b-3b-4
2=2b-4
Then you want to get rid of the -4 so you add 4
2+4=2b-4+4
6=2b
Then, divide 6 by 2 to get b by itself
3=b
In a class 28 of students, 9 are female and 5 have an A in the class. There are 17
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?
Answer:5/7
Step-by-step explanation:
