Answer:
A. 25, 22
B. machine 1
How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2
Step-by-step explanation:
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.
The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -
y = [(100 - 50)/(4 - 2)]x
y = 25x
AND
y = 22x describes the rate at which Machine 2 can fill cartons.
So, we can write -
Machine 1's unit rate = 25
Machine 2's unit rate = 22
It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
Therefore,
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
To solve more questions on straight lines, visit the link below-
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[Refer to image for complete question]
Write an equation for a line that is perpendicular to y = 2x + 7.
Answer:
y = -[tex]\frac{1}{2}[/tex]x + 5
Step-by-step explanation:
A perpendicular line is the negative reciprocal of the original, it doesn't matter what the y intercept is.
What is the slope of the line passing through (1, 2) and (3, 8)?
A. slope = 7
B. slope = 1/7
C. slope = 3
D. slope = 1/3
Answer:
slope is 3
Step-by-step explanation:
remember (y2-y1)/(x2-x1)? thats pretty easy bruh.
is a relation that is also a function.
{(1,6), (1,7), (7, 8), (8, 9)}
{(2,3), (3, 2), (2, 4), (4, 2)}
{(0, 1), (0, 2), (0, 3), (0,4)}
|{(1, 1), (3, 2), (6,3), (8,4)}
Answer:
The relation {(1, 1), (3, 2), (6,3), (8,4)} is also a function ⇒ D
Step-by-step explanation:
The relation formed from a set of ordered pairs could be a function if every x-coordinate has only one y-coordinate corresponding to it
Examples:
The relation {(1, 3), (-2, 5), (1, -2)} is not a function because x = 1 has two values of y 3 and -2The relation {(2, -3), (-2, 0), (1, 5)} is a function because x = 2 has only y = -3, x = -2 has only y = 0, and x = 1 has only y = 5Let us check all the relation to find which one is a function
∵ The relation is {(1, 6), (1, 7), (7, 8), (8, 9)}
∵ At x = 1, y = 6 and 7
→ x has two values of y
∴ The relation is not a function
∵ The relation is {(2, 3), (3, 2), (2, 4), (4, 2)}
∵ At x = 2, y = 3 and 4
→ x has two values of y
∴ The relation is not a function
∵ The relation is {(0, 1), (0, 2), (0, 3), (0,4)}
∵ At x = 0, y = 1, 2, 3, and 4
→ x has four values of y
∴ The relation is not a function
∵ The relation is {(1, 1), (3, 2), (6,3), (8,4)}
∵ At x = 1, y = 1
∵ At x = 3, y = 2
∵ At x = 6, y = 3
∵ At x = 8, y = 4
→ Every x has only one value of y
∴ The relation is a function
∴The relation {(1, 1), (3, 2), (6,3), (8,4)} is a function
Joshua plans to buy x pencils and one notebook at the schoolstore. A pencil costs $0.10 and a notebook costs $1.25. Joshua
has $7.00
Iln
PLEASE HELP I WILL GIVE BRAINLIEST!! I need a narrative essay rough draft done by tonight! It is on “Landlady” by Roald Dahl. i attached the story, thank you SO MUCH GUYS! its due tonight!
Answer:
In the short story “The Landlady,” Roald Dahl’s use of foreshadowing prepared readers well for the end of the story. He used hints such as describing the outside of the bed and breakfast, giving details of the entry and the bedroom, and also telling the readers about the living room.
To begin, Dahl used the outside of the bed and breakfast as a use of foreshadowing. The sign was described to be distinctive. It was portrayed to be luring the boy inside. Dahl used the opening of the door as a hint also. He explained that the woman debouched the door open, which would foreshadow that she was abnormal. The woman also had cheap rent at her bed and breakfast.
Next, Dahl moved onto the entry and bedroom setting to give hints to the events to come. The bed had a hot water bottle in it. This was meant to make the lady seem like she was waiting for someone soon, since the bottle was still warm to keep the bed heated. There was also the guest book that had only two other entries. One was Chris Muholland and the other was Gregory Temple. These names sounded familiar to the boy and led to his curiosity of who they were. When the boy remembered where he saw the names before, which was in the newspaper claiming they were missing, it revealed that the men were in the bed and breakfast before they went missing. This made the reader believe that something was discerning about the situation.
Dahl finally summed up the story by conveying an image of the living room. He described a dog and a parrot first. It turned out the animals were stuffed, and the lady taxidermies them herself. At this point in the story, the hints are coming together that not everything is adequate about the place. Her hands were said to be pale, as if they might be lifeless. Dahl used this to explain that she might have gotten discoloration in her hands from using chemicals in her “work” that she does. The tea was finally used as a clue. The lady gave the boy some tea that tasted of bitter almonds. The use of this information declared that something was in the tea
Step-by-step explanation:
Find the sum.
6(2k – 2) + (7k + 5)
Answer:
Your answer is: 19k - 7
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
can you help solve for m
Answer:
m = [tex]\frac{w}{g}[/tex]
Step-by-step explanation:
Answer:
M=w/g
Step-by-step explanation:
M =w/g Ia the answer
Gina tracks the low temperatures for a city over six days. Identify the days colder than-1.75°F. Monday Tuesday Wednesday Thursday Friday -2.5°F -1.9°F 0°F -1.5°F 0.5°F
Answer:
Monday
Tuesday
Step-by-step explanation:
Given the temperature data:
Mon _____ Tue _____ Wed _____ Thur ___ Fri
-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F
Days colder than - 1.75°F
Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75
Hence,
-2.5°F < - 1.75°F = (Monday)
-1.9°F < - 1.75°F = (Tuesday)
Hence, temperature on Monday and Tuesday is colder than - 1.75°F
Answer:
Monday
Tuesday
Step-by-step explanation:
If ΔABC ≅ ΔDEF, what is the length of AB?
Answer:
AB=24ft
Step-by-step explanation:
3x+6=4x
6=4x-3x
6=x
AB=3x+6
AB=3(6)+6
AB=18 + 6
AB=24
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. If 2/5 of the caramel apples are covered in sprinkles,
how many caramel apples will have sprinkles?
Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Select all terms that are like terms 5 yx2 -8 x2 1.25 x2 1/2 x2 -3.4 x3 4 x 5 3/8
Question 2
Solve for y. Write your answer in slope-intercept form y= mx + b.
6x+2y = -10
Question 3
Answer:
y=-3x-5
Step-by-step explanation:
6x+2y=-10
2y = -6x-10 (you need to isolate the y and so i took 6x and subtracted it from both sides)
y = -6/2x-10/2 ( dont feel like explaining)
divide them (-6/2 and -10/2) to get
y=-3x-5
Hope i helped
value of the 6 in 36,282.563?
Answer:
6,000 or 6 hundredths
Step-by-step explanation:
Simplify.
12(3x + 5y) plzzz answer fast
Answer:
36x + 60y
explanation:
Answer:
36 x + 60 y
Step-by-step explanation:
Point Slope Form : y - y1 = m(x- x1) Write the equation of the line described that passes through (-8,-5), parallel to y = -3x + 9
Answer:
y + 5 = -3(x + 8)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Parallel Lines always have the same slope but different y-intercepts.
Step-by-step explanation:
Step 1: Define
Given (Parallel Line): y = -3x + 9
Point (-8, -5)
Step 2: Find variables
Slope m of parallel lines = -3
Step 3: Find parallel line equation
y₁ = -5
x₁ = -8
m = -3
y + 5 = -3(x + 8)
What fraction is the same as 9/12
Answer:
3/4
Step-by-step explanation:
If you divide both the numerator and the denominator by 3 you'll get 3 over 4.
Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8. What could be Gina’s expression?
Question options:
2(2x - 8)
2(2x - 4)
-(-4x + 8)
4(x - 2)
2(2x - 8) should be Gina's expression as it is not equivalent to 4x - 8.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Steven and Gina each wrote an expression, but only Steven’s expression is equivalent to 4x - 8.
∴ Gina's expressions should be the one that is not equivalent to 4x - 8.
After observing the given options and applying distributive properties we conclude that 2(2x - 8) is Gina's expression as it is 4x - 16.
learn more about linear equations here :
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Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
A. (3, 1)
B. (-1, 6)
C. (4,0)
D. (0, 2)
E. (2,0)
F. (0.5, 3)
The following are rational expression in simplified form EXCEPT.
Answer:
D
Step-by-step explanation:
Since D is 18x/9 , you can divide 18 by 9 and you end up with 2x
What is the value of x
Answer:
Do you have a picture of it?
Step-by-step explanation:
Simplify 1/4 (15-6) + 3^3 divided by 12
Answer:
Step-by-step explanation:
Use PEDMAS method
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A- Addition
S -Subtraction
[tex]\frac{1}{4}(15-6) + 3^{3}[/tex] ÷ 12 = [tex]\frac{1}{4}*9+3^{3}[/tex] ÷ 12 {Operation inside parenthesis}
[tex]= \frac{1}{4}*9+27[/tex]÷ 12 {Exponents}
[tex]= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}[/tex]
Answer:
the answer is c. 4 1/2
Step-by-step explanation:
I guessed c got it right
8 x (30 + 2) = (8 x ___) + (8 x 2)
Answer:
30 is the right one Hope this helps you Stay happy and safe Do mark as brainliest ✌️Answer:
30
Step-by-step explanation:
8 x (30 + 2) = (8 x 30) + (8 x 2)
We need to use distributive property.
Hope this helps!
is 0.4 greater than or less than 0.127
Which is the best way to estimate 32% of 13?
1/2 x 10
1/4 x 12
1/3 x 15
1/3 x 12
Please answer quickly
Answer:
32% of 13 is 3.84
Step-by-step explanation:
but if your doing estimate one of those it would be 1/3*12
hope that helped
i need this now please help me please !!
Area = 81 pi mi2
Circumference = 18 pi mi
Please help! Due tonight
Answer:
what grade you in
this looks like 4th grade
Kevin makes $12 for every car he washes. He wants to go on a trip that will cost $350. He already has saved $120. What is the minimum number of cars he must wash?
Someone please help. I'll mark Brainliest!
The equation y=1/2x represents proportional relationship. What is the constant of proportionality?
Answer:
1/2
Step-by-step explanation:
Which statement or statements accurately describe a good way to avoid excessive service fees?
1. Try to deposit money in large batches rather than in small amounts.
II. Try to limit the number of withdrawals you make from out-of-network ATMs.
III. Try to avoid using your debit card online.
a. I and II
b. ll only
c. Ill only
d. I and III
Answer:
b. ll only
Explanation:
Remember, service fees often refer to an amount deducted to pay for the cost of providing particular services, such as ATM service charges, etc.
We can this conclusion because if one decides to deposit money in large batches rather than in small amounts; they will be directly subjecting themselves to excessive charges. Consider, most financial institutions often charge higher fees for larger deposits.
Also, if one decides to avoid using your debit card online they will tend to spend more using traditional cash methods which require increasing the number of one's ATM withdrawal.
However, by trying to limit the number of withdrawals you make from out-of-network ATMs, one saves him or herself of excessive service fees.