Answer: The correct answer is: [A]:
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" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
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Step-by-step explanation:
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Note that the "unit rate" is the term that refers to:
a "quantity" / or "quantitative value" ;
→ of some type of "countable units"
{e.g. "currency" — [such as: dollars, cents, pounds] ; "distance/length/ width/ height" — [such as: miles, kilometers, meters, centimeters, yards, feet, inches] ; pieces of fruits — [such as: number of apples; cans of soda, number of red dresses] ;
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per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.
{e.g.
→ " 3 apples eaten per [single] apricot eaten" ;
→ " 46 miles per hour.
→ " 8.3 cents per oz." ;
→ " 5 Liters of soda per dollar " ;
→ " 2.3 grams per mole " ;
→ " 4.6 mg solute / kg of solvent " ;
→ " 5 km / hr " ; {that is: " 5 km per hr " } .
→ " 3 yds. per [single] square inch."
→ " 35 parts per hundred" ; {that is: " 35 percent" ; or: " 35 % " . } .
→ " ... The cilantro is on sale for 33 cents per bundle ...} ."
→ ... to provide a few examples.
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On on Cartesian plane graph, the "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or be subjected to being "manipulated" / "controlled" / or, "selected".
The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .
So, if the "unit rate" represents the "single unit rate" ; we look at "x = 1 " ; since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select. We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .
{Note that we have "no control" over what that "y-value" is ; at the: "[point which: " x = 1 .] . "
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→ As such, that "y-value" [insert that numeric "y-value" ; followed by the units represented by the "y-axis" ] ;
per " 1 " [insert "single unit" represented by the "x-axis" ] ;
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→ is the: "unit rate" .
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So:
The correct answer is: [A]:
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" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
what is the answer to -7-(27)
Step-by-step explanation:
hope this helpsAnswer:
-34
Step-by-step explanation:
-7 - 27 = -34
or
-7 + -27 = -34
The juice dispenser in the cafeteria holds 21 1/4 pints of juice. The glasses in the cafeteria only hold 1/4 of a pint of juice. How many full glasses can be served at breakfast?
Answer:
85 can
Step-by-step explanation:
21 x 4 = 84
Then you add one more because there is still 1/4 of a pint left and each cup can hold that much too.
One batch of brownies calls for 1 box of brownie mix and the ingredients shown below. What amount of eggs, water, and oil would you need for 2 batches of fudge-like brownies?
Group of answer choices
4 eggs, 1/8 cup water, 1/4 cup oil
4 eggs, 1/2 cup water, 1 cup oil
6 eggs, 1/2 cup water, 1 cup oil
6 eggs, 1/4 cup water, 1/2 cup oil
Answer:
4 eggs, 1/2 cup water, 1 cup oil.
Step-by-step explanation:
The brownie mix requires eggs and water to be mixed with the packet mixture to form a paste like substance and then heat the mixture in the oven or microwave. Two batches of fudge like brownie will require 4 eggs and half cup of water. If more eggs are mixed then the fudge substance will be reduced and the cake will be formed.
Andrew is showing his work in simplifying (−5.7 + 2.2) − 1.1.
Step 1: (2.2 − 5.7) − 1.1
Step 2: 2.2 − (5.7 + 1.1)
Step 3: 2.2 − (6.8)
Step 4: −4.6
Which statement is true?
In step 1, Andrew used the commutative property.
In step 2, Andrew used the distributive property.
In step 3, Andrew used the associative property.
In step 4, Andrew's answer is incorrect.
Step 2 i believe im not sure tho.
Which is a unit rate?
Answer:
15 miles per gallon
Step-by-step explanation:
unit rates compare units of one quantity to A SINGLE unit of another quantity
Answer:
15 miles per gallon.
Step-by-step explanation:
When it comes to unit rate, you are trying to find 1 of something. These typically have words like 'per'.
simplify this algebraic expression.
y-3/3+12
A.y+11
B.y-5
C.y+13
D.y-11
Answer:
A. y+11
Step-by-step explanation:
-3/3 = -1
12 + ( -1 ) = 11
y + 11
hope this helped :)
Help asap
bdndndnejejdjdjdjdjdjdjdjdjdjejdjs
Answer:
no
Step-by-step explanation:
two points cant be on the same line in a vertical pattern
Pattern: 4, 10, 18, 28, 40, 54, 70, 88, 108, 130
Since the second difference is constant in the pattern above, the algebraic
expression will have degree 2. In an expression of degree 2, the largest
exponent is 2. Therefore, we know that the expression for this pattern must
include n^2. What is the algebraic expression for the nth term in this pattern?
Answer:
The algebraic expression for the nth term in this pattern is n^2 + 3n
Step-by-step explanation:
We want an algebraic expression for the nth term in this pattern.
Like we are told, there must be an expression that includes the term n^2
So therefore;
We need to express each of the terms to include the n^2 term
Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.
for 4; 1^2 + 3(1)
For 10; 2^2 + 3(2)
For 18; 3^3 + 3(3)
For 28; 4^2 + 3(4)
For 50; 5^2 + 3(5)
So the nth term will be;
n^2 + 3n
60% of blank = 300
60 out of 300 = blank %
Answer:
500 = 100%
20% = 60
Step-by-step explanation:
300 = 60%
50 = 10%
500 = 100%
100% = 300
10% = 30
20% = 60
Hope this helps!
Answer:
60% of 750 = 300
60 out of 300 = 20%
I hope that this can help you ^‿^
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks, he still owed his friend $90. Write an equation for L,L, in terms of t,t, representing the amount Jordan owes his friend after tt weeks.
19. Estimate a 20% tip on a meal that cost $118.75.
Answer:
$23
Step-by-step explanation:
move the decimal over left 1 time and double the amount
Answer:
$23.75
Step-by-step explanation:
As 20% equals to [tex]\frac{20}{100}[/tex], which is the same as 0.20, then all you have to do to get to the answer is to calculate:
0.2 * 118.75 = $23.75
2.1÷6 long division
Answer:
0.35
Step-by-step explanation
6 ) 2.1 ( 0.35 <------- Quotient.
18
30
30
...
Write the equation of the line that passes
through the points (3, 1) and (-2, 6).
Answer:
x + y - 4 = 0
Hope this helps, if you need more of an explanation feel free to let me know!
Explain how you can use compatible numbers to estimate the quotient of 925/29.
Answer: the corrects answer is 31
Step-by-step explanation:
What is the value of -2 7/12 divided -1/6
Answer:
15.5
Step-by-step explanation:
-2 7/12 = -31/12
-31/12 ÷ -1/6 = 15 1/2 or 15.5
what is 2x-6 >-16 and 3x-10 8
Answer: 2x-6>-16 = -5
Step-by-step explanation:
add 6 to -16, you get -10.
divide 2x by 10, you get -5
Describe a transformation that would make quadrilateral ABCD into a square
I NEED URGENT HELP PLEASE
Answer:
ok, relax and listen I’ve got this ok?
Step-by-step explanation:
You just move it up 4 squares to (2, 9), (10,9)
see?you got this I believe in you!!!
Which two points on the number line represent numbers that can be combined to make zero?
Answer:
B and D I think.............
Answer:
B and D
Step-by-step explanation:
A machine made 4 1/2 pencils in 3 1/3 minutes. How many pencils did the machine make in one minute?
Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
A transportation engineer uses the formula, R = 1600/15+127e, to determine the minimum radius of curvature (R) in meters, for a roadway with a 40 km/hr design speed and a maximum superelevation rate (e). What is the maximum superelevation rate recommended if the radius of curvature is 350 meters? Answer as a decimal, rounded to two decimal places.
Answer:
The value is [tex] e = 1.92 [/tex]
Step-by-step explanation:
From the question we are told that
The formula for radius of curvature is [tex]R = \frac{1600}{15} +127e[/tex]
The design speed of the roadway is [tex]v = 40 \ km/hr[/tex]
The value of radius of curvature considered R = 350 m
From the equation given e is the superelevation rate
Now making the subject of the formula
[tex] e = \frac{R}{127} - \frac{1600}{1905} [/tex]
At R= 350
[tex] e = \frac{350 }{127} - \frac{1600}{1905} [/tex]
[tex] e = 1.92 [/tex]
Here, we are required to determine the maximum superelevation rate, e (rounded to 2 decimal places) recommended if the radius of curvature, R is 350 meters.
The answer is e = 1.92 (rounded to 2 decimal places).
First, from the information given, the minimum radius of curvature, R is related to the maximum superelevation rate, e by the formular;
R = (1600/15) + (127e)
Therefore, to evaluate the value of e for R = 350, we have;
350 - (1600/15) = 127e.
350 - (1600/15) = 127e.350 - 106.667 = 127e
Therefore, 243.333 = 127e.
Therefore, e = 1.9160meters
As a result, The maximum superelevation rate, e recommended if the radius of curvature, R is 350 meters is:
e = 1.92 (rounded to 2 decimal places).Read more:
https://brainly.com/question/21140562
A trainer advises an athlete to keep his heart rate under 140 beats per minute.
The variable that was defined and the corresponding inequality to depict the constraints is; r < 140 beats per minute.
How to Write Inequalities?We are to define a variable and write an inequality for the given question.
Now, since the variable here is the heart rate, then let us define the varibale with the term r.
Thus, the inequality that represens the given question is written as;
r < 140 beats per minute.
Read more about Inequalities at; https://brainly.com/question/25275758
#SPJ2
Savannah sells character images online. Small images take one hour to make and she sells them for $15. Large images sell for $25 and take two hours to make. Each week, Savannah can work up to 20 hours making images, and she wants to earn at least $400.
Let x represent the number of small images Savannah makes in a week, and let y represent the number of large images. Which of the following systems of inequalities models the constraints of this situation?
Answer:
15x + 25y ≥ 400
x + 2y ≤ 20
x ≥ 0, y ≥ 0
Step-by-step explanation:
Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.
Number of small images in a week = x
Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x
Number of large images in a week = y
Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y
Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:
x + 2y ≤ 20
This implies that, the hours spent altogether can be less than or equal to 20hrs
Amount for small images = $15
Amount in total for all images made in a week = $15*x = 15x
Amount for large images = $25
Amount in total for all images made in a week = $25*y = 25y
Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:
15x + 25y ≥ 400
This implies that, the amount she wants to make in a week would be $400 or more.
The system of inequalities would be:
x + 2y ≤ 20
15x + 25y ≥ 400
x ≥ 0, y ≥ 0
Please help ! 100 points ! What is the correct classroom for each given angle
Answer:
NPK: RIGHT ANGLE
NPL: STRAIGHT ANGLE
JPL: OBTUSE ANGLE
Step-by-step explanation:
A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users. Draw a probability tree diagram for the given problem.
What is the probability that a player does not use steroids, given that the person had a positive reading on the test? Round your answer to four decimal places.
Answer:
P(no steroid user / positive reading on test) = 0.3309
Step-by-step explanation:
Computation:
Bayes' Theorem:
P(A / B) = P(A and B) / P(B)
P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
P(no steroid user / positive reading on test) = 0.3309
The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Calculation of the probability:Since A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.
So, here the probability should be
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
= 0.3309
Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Learn more about probability here: https://brainly.com/question/24442276
The ratio of the number of Andy's seashells to the number of seashells Ben has is 4:9. Andy has 100 seashells. How many does Ben have?
Answer:
Ben has 225
Step-by-step explanation:
100 ÷ 4 = 25
25 × 9 = 225
Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $10 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars. The algebraic expression is
Answer: if this is what you have here you go but lmk if this isnt the right answer
Step-by-step explanation:
can someone please help me
Answer:
the triangle is 10 the rest are 3
(7x +6) - (5x - 4) = 180
Answer:
x= 85
Step-by-step explanation:
(7x+6)-(5x-4)=180
There is a negative 1 between the two parenthesis
-1(5x-4)
-5x+4
Now plug it back into the equation and take out the parenthesis
7x+6-5x+4= 180
2x+10=180 Now we can solve
-10 -10
2x= 170
2x/2 = 170/2
x= 85
I hope this helps! :)
Answer:
x=85
Step-by-step explanation:
Running 7/4 miles in 11 minutes how many miles per minutes
Answer:
it is either 10 or 6.67 minutes per hour
Step-by-step explanation:
if you ran 3 miles basically in 30 minutes :30 minutes divided 3 miles = 10 minutes per mile pace or 6.67 minutes per hour
What is the cross section that results from a plane intersecting exactly three vertices of a cube?
Answer:
An equilateral triangle cross section can be obtained by cutting the cube by a plane defined by the midpoints of the three edges emanating from any one vertex.