What is an equation of the line parallel to the line on the graph that passes
through (4, 15)?
Weight of Bucket of Sand
Total weight (ounces)
Answers
Answer:
Step-by-step explanation:
The existing line appears to pass through (0, 20) and (10, 50)
so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3
parallel lines have identical slopes
y = 3x + b
15 = 3(4) + b
b = 3
D. y = 3x + 3
[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]
Slope of parallel line=5/2Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]
[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]
[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]
Related Questions
Cassidy is selling popcorn for a fundraiser sale at the price shown. he purchases a total of 150 containers of popcorn to sell. after he sells 25 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy's profit, after upfront costs, can be modeled by a linear function in the form of y=mx+b.
C. Will the function be discrete or continuous? Explain.
D. Write the function that models Cassidy's profit.
E. What is the domain of the function?
F. What is Cassidy's profit or loss if he does not sell any popcorn?
G. What is cassidy's profit if he sells all the popcorn?
H. What is the range of the function?
Answers
The domain and the range of the function describes the possible profit or
loss from the sale of popcorn and the number of popcorn units.
The correct responses are;
C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193Reasons:
The question parameters are;
The price of a popcorn = $1.5
Number of popcorn he purchases = 150
Total profit made = $5.50
The number of containers sold = 25
Therefore;
C. Given that the number of containers sole is countable, the function will be discrete.
D. Cost of the containers = Revenue - Profit
Which gives;
Cost of the containers = 1.5 × 25 - 5.5 = 32
The given function is therefore;
y = 1.5·x - 32
E. The domain is the 150 containers which gives;
The domain = 0 ≤ x ≤ 150
F. When no popcorn is sold, we have;
x = 0, which gives;
y = 1.5 × 0 - 32 = -32
If he does not sell any popcorn, the loss is $32
G. If all the popcorn are sold, we have;
x = 150
Therefore;
y = 1.5 × 150 - 32 = 193
The profit if all the popcorn are sold = $193
H. The range of the function are the possible y values, which is the possible profit or loss, which gives;
The range = -32 ≤ y ≤ 193
Learn more about linear function here:
https://brainly.com/question/7043594
Find the probability of selecting a 3 or 4 when a single die is rolled once
Answers
Answer:
1/3
Step-by-step explanation:
there are 6 sides to a die : 1, 2, 3, 4, 5, 6.
as one can interpret, 3 & 4 take up 2 parts of the 6 possible options
each result has equal oppurtunity to occur
so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified
What are the steps in multiplying decimals?
Answers
Answer:
Ignore the decimal points then multiply the numbers that remain. Count the number of decimal places in all of the numbers of the question combined. Place the decimal point so that there are the same number of decimal places in the answer and the question.
Step-by-step explanation:
Whomever please
Find the perimeter of the triangle that has vertices at the points R(2,1), S (2,5), and T(4,
1). Round the answer to the nearest hundredth (2 decimal places).
A) 35.78
B) 32
C) 21.54
D)10.47
Answers
The perimeter of the triangle is 10.47 units
The distance between two points is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the points R(2,1), S (2,5), and T(4, 1). Hence:
[tex]RS=\sqrt{(5-1)^2+(2-2)^2}=4\ units[/tex]
[tex]RT=\sqrt{(1-1)^2+(4-2)^2}=2\ units\\\\ST=\sqrt{(4-2)^2+(1-5)^2}=4.47\ units[/tex]
The perimeter of the triangle = 4 + 2 + 4.47 = 10.47 units
Find out more on triangle at: https://brainly.com/question/17335144
Write the equation in standard form y=-x+1
Answers
Add x to both sides to get x and y on the same side. Set equal to value.
Answer:
x+y=1
Step-by-step explanation:
The Linear Equation Standard Form is = ax+by=c.
Given y=-x+1, we will use Algebra to convert the equation from slope-intercept form to standard form:
x+y=-x+x+1
We added x to both sides to cancel out and move the -x.
x+y=1 is the answer.
a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use
Answers
Answer:
7½ cups of sugar
Step-by-step explanation:
2 cups of flour needs 3 cups of sugar
1 cups of flour needs 3/2=1.5 cups of sugar
1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS
A recipe to make 5 cupcakes calls for 10 tablespoons
of sugar. Alicia wants to make 10 cupcakes using this
recipe. What equation will she need to use to find out
how many tablespoons of sugar to use?
Answers
Answer:
10×5
Step-by-step explanation:
put a zero at the end of five and make it 50
V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?
Answers
Answer:
x=1
Step-by-step explanation:
If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.
x+8=9x
8=8x
x=1
It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much of each ingredient is used for 10 pizzas
Answers
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/ unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α = .05. Use both p-Value and Critical-Value approaches. Type of Ride Roller Coaster Screaming DemonLog FlumeMethod 1 41 52 50 43 44 46 49 46 48Method 2 49 50 48 51 46 44 47 48 46
1. Set up the ANOVA table (to 1 decimal, if necessary).2. The p-value for Factor A is ___________.3. What is your conclusion with respect to Factor A?4. The p-value for Factor B is_________. 5. What is your conclusion with respect to Factor B?6. The p-value for the interaction of factors A and B is ____________.7. What is your conclusion with respect to the interaction of Factors A and B?8. What is your recommendation to the amusement park?
Answers
Answer:
An amusement park studied methods
Step-by-step explanation:
help plslssssssssssssssss
Answers
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.
Answers
An angle measures 157.2° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Two supplementary angles equal 180 degrees
Subtract the difference from 180:
180-157.2 = 22.8
Divide by 2:
22.8 /2 = 11.4
One angle is 11.4
Now add the difference to 11.4
11.4 + 157.2 = 168.6
The second angle is 168.6
Answer: 11.4 and 168.6
Which is the total value of the digit 4 in 34 712
Answers
Answer:
4,000 which is four thousand
Answer:
4000
Step-by-step explanation:
12POINTS PLEASE HURRY ASAPPPPP <3
Answers
ITS SQAURE 6
6 SQAURE OFTHE 6
Help help help math math
Answers
Answer:
25%
Step-by-step explanation:
multiply it by 100 over 1 then divide the top by the bottom.
You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld?
giving crown
Answers
Answer:
278.5
Step-by-step explanation:
A B C or D? please help
Answers
Answer:
(x-1) and (x-5)
Step-by-step explanation:
option a .......
HELP ASAP PLEASE THIS IS FOR ALGEBRA
1. he slope of a line through the points (-2, 4) and (6, b) is -3/2 What is the value of b?
Explain your method for calculating b.
Answers
Answer:
Step-by-step explanation:
Use the slope formula to solve this problem. Slope, usually called m, is the change in y-values over the change in x-values.
m = (y2 - y1)/(x2 -x1)
It actually doesn't matter which point is the first point and which point is the second point. But you must be consistent.
So fill in -3/2 for the m
Let your (6, b) be your (x1, y1)
Let (-2, 4) be your (x2, y2)
So, the numbers fill into the formula like so:
-3/2 = (4 - b)/ (-2 - 6)
-3/2 = (4 - b)/(-8)
Multiply -8 on both sides of the equation.
(-8)(-3/2) = 4 - b
12 = 4 - b
Subtract 4 from both sides.
Don't lose the negative in front of the b
8 = -b
Multiply or divide by -1 on both sides.
-8 = b This is the answer.
**note: Its kinda crummy to use b in this equation, because b has a special meaning when you are working with linear equations. They should have given you a different variable. b usually stands for the y-intercept but in this problem it doesn't, it's just a variable representing an unknown value.
Question 17 of 20
How did women's roles change as a result of the Industrial Revolution in
Europe?
O A. Women earned the right to vote in most democracies by
organizing protests.
OB. Women earned salaries equal to men's for the first time in history,
O C. Women gained increased economic independence by working in
factories
O D. Women largely controlled agriculture by replacing male farmers
who moved to cities.
Answers
As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in factories
The Industrial Revolution:
Allowed for women to be employed in certain factories Allowed for women to get paid salaries as a resultWhen women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.
In conclusion, the industrial revolution allowed for the economic independence of women to increase.
Find out more on the industrial revolution at https://brainly.com/question/13323062.
plz help me to answer
Answers
For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x
Do the same thing for 10ft
No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.
Solve the equation. -10=2y
Answers
Answer:
y=-5
Step-by-step explanation:
-10/2=2y/2
-5=y
y=-5
Answer:
y = - 5
Step-by-step explanation:
You have yo divided the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
Beatrice has two coins. The first coin is fair and the second coin is biased. The biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice selects one of the two coins at random and flips the selected coin 4 times. The result is HHTH. What is the probability that the fair coin was selected?
Answers
DOES ANYONE KNOW PLEASE HELP ME I WILL MARK BRAINLIEST <3
Answers
Answer:
i got this i hope this is helpfulI'm sry I can't read and ans
Step-by-step explanation:
Electronic entry of medication orders through CPOE may reduce errors from poor handwriting or incorrect transcription. CPOE systems often include functionalities such as drug dosage support, alerts about harmful interactions, and clinical decision support, which may further reduce errors.
What percent of 38 is 12
Answers
Answer:
31%
Step-by-step explanation:
hope this helps
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answers
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
When you’re driving and your instructor tells you to do a shoulder check, do you look directly to the right and left or behind your shoulder
Answers
Answer:
If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.
please help me and solve it
Answers
Answer:
Step-by-step explanation:
Last year, 50 students attended the movie night. This year, 65 students attended the movie night. fine the percent of increase in the number of students who attended the movie night.
Answers
Answer: 30%
Step-by-step explanation:
It increased by 15 so it increased by 15/50=30/100=30%
I hope this helped!
On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
Answers
Answer:
Step-by-step explanation: