The graph 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. PART A What is the unit rate for each machine? PART B Which machine can fill cartons at a faster rate? How much faster?
Answers
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-
brainly.com/question/29030795
#SPJ2
[Refer to image for complete question]
Related Questions
Solve for g in the proportion.
Answers
Answer:
14
Step-by-step explanation:
Cross multiply, then divide: 18 × 7 = 126, 126 ÷ 9 = 14I hope this helps!
Answer:
14
Step-by-step explanation:
Step 1:
7/9 = q/18 Equation
Step 2:
9q = 126 Multiply
Step 3:
q = 126 ÷ 9 Divide
Answer:
q = 14
Hope This Helps :)
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answers
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
I NEED HELP!!!
Convert to find the equivalent rate,
inches
yards
60
min ute
second
Answers
Answer:
36 seconds
Step-by-step explanation:
Answer:
Dnbsflvi jvidkdkeicucyccgdmjcjvh
Step-by-step explanation:
Nathan will be working between 30 to 39 hours inclusive this week, which is 3 more than triple
what he worked last week. How many hours could have Nathan work last week?
Answers
So 30-3= 27 (three more)
then 27/3=9 (triple)
So if yoy were to triple the hours he worked last week, 9•3=27, then add the three more, 27+3=30, then this answer works
i hope this helps!
The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?
Answers
Answer:
-$14(2.5) & -$34.73
Step-by-step explanation:
Which estimate uses compatible numbers to estimate the problem?
✔ -$14(2.5)
What is the exact answer?
✔ -$34.73
Answer:
answer is above
Step-by-step explanation:
Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false
Answers
Answer:
true
Step-by-step explanation:
[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]
Answer:
true
Step-by-step explanation:
3x -4(2x-5)
3x-8x+20
5x+20
crying for help here..
Answers
Answer:
ST=32
Step-by-step explanation:
We know the two sides are equal, so first solve for p.
9p-4=4p+16
9p-4p=16+4
5p=20
p=4
Now subsitute p back in for ST
9(4)-4=32
I need to turn that into an equation but I cant figure it out.
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The equation will be...
[tex]\frac{3x-6}{2} +12[/tex]
I don't know if you need to solve it but here you go anyways...
[tex]\frac{3}{2}x+9[/tex]
determine the range of the following graph
Answers
Answer:
Range: [-6, 8]
Step-by-step explanation:
Range is the set of y-values that are outputted by function f(x).
From the graph we see that our y-values span from -6 to 8. Since both are closed dot, they are included in the range:
[-6, 8] or -6 ≤ y ≤ 8
which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number
Answers
Answer:
The fourth one
Step-by-step explanation:
Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.
hey what 4a + 5 - 7a = 35
Answers
Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6
Answers
The y for both is -2 which means no incline
Using the existing midpoints of each side of the triangle, create the three medians. What do you observe about the way the medians Intersect?
Answers
Answer:
The three medians intersect at a single point.
Step-by-step explanation:
PLATO MAKE BRAINLIEST PLZZ
Centroid is that point where median draw from the center of each side in a triangle meet.
What is centroid?The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.
Let,
There is a triangle ΔABC
Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.
Join PC, RB and QA
The point where PC, RB and QA meets called centroid.
Hence, the point of intersection of three medians is Centroid.
Learn more about Triangles:
https://brainly.com/question/2773823
#SPJ2
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answers
Answer:
2 1/2 per piece
Step-by-step explanation:
The complementary angle of 56° is
Answers
Answer:
90 degrees
Step-by-step explanation:
trust
Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t
Answers
Answer:
B
Step-by-step explanation:
Have a good day!
Find the equation of the perpendicular bisector of AB when A(-7,2) and B(3,4)
Answers
Given:
Two points are A(-7,2) and B(3,4).
To find:
The perpendicular bisector of AB.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB is
[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]
[tex]m_1=\dfrac{2}{3+7}[/tex]
[tex]m_1=\dfrac{2}{10}[/tex]
[tex]m_1=\dfrac{1}{5}[/tex]
Procut of slopes of perpendicular line is -1.
So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].
[tex]m_2=-5[/tex]
Midpoint of AB is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-2,3\right)[/tex]
Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-3=-5(x-(-2))[/tex]
[tex]y-3=-5(x+2)[/tex]
[tex]y-3=-5x-10[/tex]
Add 3 on both sides.
[tex]y=-5x-10+3[/tex]
[tex]y=-5x-7[/tex]
Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].
Sam and Jude went to the cinema. Here is the list of prices: 4.75 $ for a ticket, 1.75 $ for a drink, 0.85 $ for a sweet. They paid with a bill of 20 $. How much change did they receive?
Answers
20-7.35=12.65
Ter.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
Use the interactive tool tahyaluate the expression.
Answers
Answer:
commutative property
Step-by-step explanation:
Answer:
its commutative property and 5
(4, 5) and (-4, 3)
What’s the answer I need help
Answers
Answer:4(3)/(5)
Step-by-step explanation:
Convert 77º F into kelvins.
Answers
Answer:
298.15
Step-by-step explanation:
Is this right pls tell me ASAP
Answers
Use the complement rule for probabilities
Question
arces
Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these flights, 28 are considered
to be "on-time."
If you chose a particular flight at random, what is the probability that it would not be on-time? Express your answer as a
fraction.
Provide your answer below:
Answers
Answer:
The probability that a particularly randomly chosen flight will not be on time is 1/3
Step-by-step explanation:
The number of flights available between New York and Los Angelis = 42 flights
The number of flights that are considered to be on time = 28 flights
The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time
The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)
The probability that the flight will be on time = 28/42 = 2/3
∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3
The probability that a particularly randomly chosen flight will not be on time = 1/3.
A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?
Answers
Answer:
$42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
To find the sale price of the tennis racket, multiply the original price by 0.6:
70(0.6)
= 42
So, the sale price of the tennis racket is $42
Which of the following steps could be used to solve the equation 93 = x + 58?
Answers
Answer:
x=35
Step-by-step explanation:
93=x+58
-58 -58
35=x
x=35
Simply subtract 58 on both sides so it crosses out, isolating x.
Also x would be 35 in case you need that.
A school purchases calculators from a store for $6 each.
Create an equation that represents the total cost, d, in dollars, for the number of calculators purchased, c. Use both
variables in your equation.
Answers
Answer:
Cost =6(Cal)
Step-by-step explanation:
Calculators: 6$
Calculators: Cal
Cost=C
Cost =6(Cal)
Answer:
1=6
Step-by-step explanation:
Suzanne Attired makes fashionable garments. During a particular week employees worked 360 hours to produce a batch of 132 garments, of which 52 were seconds (meaning they were flawed). Seconds are sold for $90 each at Attired's Factory Outlet Store. The remaining 80 garments are sold for $200 each. What is the labor productivity ratio of this manufacturing process
Answers
Answer:
$57.44 per hour
Step-by-step explanation:
Given that :
Hours worked = 360 hours
Production = 132 batches of garment
Of the 152:
52 were flawed (sold at $90 each)
80 were sold at $200 each
Labor productivity ratio: (output value / input value (hours worked))
Output value = [(52*$90) + (80*$200)]
Output value = $20,680
Labor productivity ratio = $20,680 / 360 hours
Labor productivity ratio = $57.44 per hour
Identify the value for the variable
Answers
Answer:
-12, 4
Step-by-step explanation:
7^-9 x 7^-3 = 7^-12
When you multiply exponents with the same base, you add them.
11^-4/11^-8 = 11^4
When you subtract exponents with the same base, you subtract the exponent in the numerator by the exponent in the denominator.
find the measure of each angles
Answers
Answer:
7; = 135
1;= 135
2; = 45
3; = 135
Shaun thinks that pi * 0 results in an irrational number. He thinks so because irrational and is rationalthe product of a rational number and an irrational number is irrational. Is Shaun correct? Explain why or why not.
Answers
Answer: No, Shaun is incorrect because pi never ends and is infinite and doesnt repeat not because its irrational and is rational the product of a rational number and an irrational number is irrational.
Step-by-step explanation:
Theres not really and explanation of how to get this answer you just need to think about it and see what would make sense.
