In her science classroom Jane noticed that the lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality?A.25.0 B.27.5 C.30.0 D.32.5
Answers
Answer:
C
Step-by-step explanation:
multiply by 2 then add half of the original number
The constant of proportionality(k) is 5/2 and the corresponding weight is
30 ounces for 12 inches.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx.
Now, when x = 6, y = 15
15 = 6k.
k = 15/6.
k = 5/2.
Now, when length(x) is 12 then,
y = 12(5/2).
y = 30.
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Related Questions
A train moves at a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
Answers
Answer: 24
Step-by-step explanation:
If Sara ran 34 km in 300 minutes, what was her speed in km/hr?
Answers
Answer:
6.8 km/hr
Step-by-step explanation:
If Sara ran 34 km in 300 minutes, then, in one hour, she would run
=> 34 : 300
=> ? : 60
=> 300 / 5 : 34 / 5
=> 60 : 6.8
So, if she travels 6.8 km in 60 minutes, her speed is 6.8 km/hr
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Thank You!!
Negative numbers are just like positive numbers, but they always have a factor of ___ built into them.
0
1
-1
Answers
Answer:
-1
Step-by-step explanation:
explanation: any negative number times -1 is positive
-1 x -1 = 1
brainliest if you get the riddle right
What month of the year has 28 days?
Answers
BRAINLIEST AND 20 POINTS
Answers
Answer:
CStep-by-step explanation:
translation of PQR is 6 to the left
Answer:
send this to me in my messages I cant see it
Step-by-step explanation:
But i Can help you if you message it or type it to reply
(Apex 2.2.4 math 8) PLEASE I'M SO LOST
The entrance to an accessibility ramp is at ground level.
The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.
The second section of the ramp begins at the landing. It rises at a slope of
\frac{1}{18}
and covers another 9 feet of horizontal distance to reach the door.
Answer the questions to compare the sections of the ramp.
1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.
2. Is the steeper part of the ramp from the ground to the landing or the landing to the door? Explain how you decided which part of the ramp is a steeper.
3. Slope is equal to rise divided by run. If you know the horizontal distance (run) and the slope, how can you find the vertical distance (rise)?
4. What is the vertical distance (rise) from the landing to the door? Show your work.
5. What is the total height of the door above the ground?
Answers
Answer: 1.) The slope of the longer ramp is 1/12
2.) The longer ramp from the ground to the landing is steeper. 1/12 is steeper than 1/18. A graph of the slope shows this. See attachment.
3.) If you know the run, you can find the rise by multiplying the run by the slope.
4.) The rise from the landing to the door is 1/2 foot or 6 inches.
5.) The total height of the door above the ground is 2 ft or 24 inches.
Step-by-step explanation: Sometimes it helps to draw a sketch of the info given then make notes as you find solutions. (See in attachments)
1.) 1:5/18. Multiply by 2/2. It becomes 3/36. simplify to 1/12
4.) Multiplying 9ft by 1/18
It's the same as dividing 9÷18= 0.5 ft. OR 9 feet is 108 inches. 108÷18 = 6 inches
5.) Given height, ground to landing: 1.5 ft plus calculated 0.5ft = 2 ft.
OR 18 inches + 6 inches = 24 inches
The answers to questions comparing the sections of the Ramp are;
1) Slope = 1/2
2)The first section of the ramp is steeper because it has a greater slope.
3) Multiply the horizontal distance by the slope.
4) Vertical distance from landing to the door = 0.5 ft
5) Total height of the door above the ground = 2 ft
We are given that;
Height of landing above the ground = 1.5 ft
Horizontal distance of first section of ramp to landing = 18 ft
Horizontal distance of second section of ramp from landing to door = 9 ft
Slope of Second section of ramp = 1/18
I have attached an image showing the ramp alongside the given data;
With these given data, let's proceed to answer the question;
1) Slope is defined as ratio of change in vertical height to change in horizontal distance.From the attached image, we see that for the first section;
vertical height = 9 ft
horizontal distance = 18 ft
Thus, slope = 9/18 = 1/2
2) The slope for the first section is 1/2 = 0.5.The slope for the second section is 1/18 = 0.056
The slope of the first section is greater than that of the second
section and thus we will say the slope of the first section is steeper.
3) Let the vertical distance of the second section from the landing to the door be x.Now, since we know the horizontal distance for this second section as 9 ft and the slope as 1/18, then by proportion, to get the vertical distance (x), we will just multiply the horizontal distance by the slope.
4) Since the vertical distance from landing to the door is labelled as x, then from answer 3 above;x = 9 × (1/18)
x = 1/2 ft
x = 0.5 ft
5) Height of landing above the ground = 1.5 ftHeight from the landing to the door = 0.5 ft
Total distance from ground to the door = 1.5 + 0.5 = 2 ft
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A health food store has 250 samples of a new snack to distribute. Customers are taking samples at a rate of 25 each hour. If the store has to keep at least 50 samples for display, which inequality could be used to represent h, the number of hours the samples will last?
A. 25h + 50 > 250
B. 250 - 25h ≥ 50
C. 250 + 25h > 50
D. 25h + 50 ≥ 250
Answers
Answer:
B would u like an explanation
Step-by-step explanation: Okay my explanation was that it says : A health food store has 250 samples of a new snack to distribute. Customers are taking samples at a rate of 25 each hour. If the store has to keep at least 50 samples for display, which inequality could be used to represent h, the number of hours the samples will last? what you do is take 250 and subtract 25 hrs from it its super simple and you get 50 so if they made 50 they candouble that to 10 and in 25 hrs only half of i will be gone so they will have 50 exxtra to feed the next se ofpeople
what is 5 times 6 plus 8 divided by 3 time 6n<3 if n is 4
Answers
Answer:
I know an app its called math-way its really good for math
Step-by-step explanation:
(Sorry if that’s not the answer)
can someone help me please.
Answers
Answer:
Yellow = 2/3(Blue)
Step-by-step explanation:
You only really need the first row of the table since it shows the volume of yellow to the volume of blue.
Before we write the equation we have to find the ratio and to do that we divide.
Divide the amount of yellow by the amount of blue:
3.5/ 5.25 = 0.666 = 2/3
now we can write the eqaution:
Yellow = 2/3(Blue)
I need help because im dumb part 2.
h e l p -
Answers
Answer:
first off u are not dumb and the answer is their are 3,00 feet in a yard an the next one is 91,44 and the last one is the same as the secent one
Step-by-step explanation:
aaahahahhahahhahahahahhahah plz help me
Answers
Answer:
The answer is
[tex] \frac{3}{2} [/tex]
GOOD LESSONS ♡
Students can easily make mistakes when simplifying radicals, list 2 of these common mistakes, and explain how to fix these mistakes.
Answers
Which equation has the correct sign on the product?
A. (-9)(-9) = -81
B. (-12)(4) = 48
C. (31)(-10) = -310
D. (26)(3) = -78
Answers
Answer:
C. (31)(-10) = -310
Step-by-step explanation:
A. (-9)(-9) = -81
negative times a negative is a positive incorrect sign
B. (-12)(4) = 48
negative times a positive is a negative incorrect sign
C. (31)(-10) = -310
positive times a negative is a negative correct sign
D. (26)(3) = -78
positive times a positive is a positive incorrect sign
Answer:
C. (31)(-10) = -310
Step-by-step explanation:
This equation has the correct sign, because multiplying a positive number and negative number gives you a negative number.
The other answer choices have the wrong signs.
Multiplying 2 negatives together gives a positive, so A is wrong.
Multiplying a negative by a positive gives a negative, so B is wrong as well.
D is wrong because multiplying 2 positive numbers gives a positive number.
So, C is correct.
Compare the decimal numbers 0.896 and 0.689.
0.896 > 0.689
0.689 > 0.896
0.896 < 0.689
0.689 = 0.896
Answers
Answer:
0.896 > 0.689
explanation: 0.689 is less than 0.896 because the tenths place depends on how close it is to one. And 0.8 is more than 0.6.
x/3+10=15
And If You Would Like To Help Me Outside This App Please Let Me Know
I'm In The 8th Grade
Answers
Answer:
If you want to solve it here is the answer x = 15
Step-by-step explanation:
x/3+10 = 15
x/3+10-10 = 15-10 (what you do to 1 side you do to the other too)
x/3 = 5
x/3*3 = 5*3
x = 15
Answer:
its 5/3+10=15
Step-by-step explanation:
15/3=5
Plz help quick ( I WILL MARK BRANILEST) also plz give an equation and a solution
Thank you
Answers
3.14x14=43.96
so therefore the answer is 43.96
Solution: πr^2= π(14in/2)^2= π7in^2=49 π=153.938
The answer 153.938 in^2
In Mrs. Stone's class, 18 out of 22 students turned in their homework on time. What percent of the class turned their homework in on time? Round your answer to the nearest 10th place.
Answers
Answer:
81.8%
Step-by-step explanation:
please mark as brainliest
percent of the class turned their homework in on time is 81.82%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, we have,
given that,
In Mrs. Stone's class, 18 out of 22 students turned in their homework on time.
now,
the percent of the class turned their homework in on time is,
18/22 * 100
=81.82%
hence, percent of the class turned their homework in on time is 81.82%.
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Which statement correctly describes the expression (-25)(15)?
A. Both factors are negative, so the product will be negative.
B. One factor is positive and one factor is negative, so the product will be positive.
C. One factor is positive and one factor is negative, so the product will be negative.
D. Both factors are negative, so the product will be positive.
Answers
Answer:A this is your answer
Step-by-step explanation: hope this helps you
Answer:
The answer is C. One factor is positive and one factor is negative, so the product will be negative.
Find each percent of change. State whether the change is a increase or a decrease.
A $50 coat is put on sale for $35.
The percent change is _____. This is a price ____.
This is a exit slip.. Please help :>
Answers
Answer:
The answer is a 30% change and this is a price decrease.
Step-by-step explanation:
50 divided by 10 is five.
Every ten is 20%
50>40>35
0%>20%>30%
The percent change is 30%. This is a price of $15.
Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=1/6.
Answers
Step-by-step explanation:
y-b=m(x-a)
y--10=1/6(x--6)
y+10=1/6(x+6)
6y+60=1(x+6)
6y+60=1x+6
6y=1x-54
y=1/6x-54/6
y=1/6x-9
The equation of line is y= 1/6x - 9.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope= 1/6
and, passes through (−6,−10)
Now, using slope intercept form
y- a =m (x- b)
y - (-10)= 1/6(x -(-6))
y + 10= 1/6( x + 6)
y + 10 = 1/6x + 1
y= 1/6x - 9
Hence, the equation of line is y= 1/6x - 9.
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What is the image of the point (-6, 8) after a rotation of 90o clockwise about the origin?
*Think about which quadrant the point started in and which one it will be in after the rotation!*
Answers
Answer: This is -6 08
Step-by-step explanation:
I need help! Dilation with points on a grid!
Answers
Answer:
D'(-6,-4)
Step-by-step explanation:
When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:
Hope this helped you
Ask question if needed
Plss help me with this guys pls help I really need it can u help me with all of them plss
Answers
Answer:
11) 4
12) 11
13) 1
14) -2
15) 7
16) 79
17) -23
18) -68
Sorry if any are wrong
Answer:
9= -21 10= 33 ,11= 4 ,12= -11 , 13= 1 , 14= -2 , 15= 7 , 16= 79 , 17= -23 , 18= -68
Step-by-step explanation:
PLS!!!! HURRY!!!!!!!!!!!
Answers
A Dino-snore
Helppp please!!!!!!!!! i'll do brainliest if u want
Answers
Your friend incorrectly claims that 1/5 divided by 1/10 = 1/50. Find 1/5 divided by 1/10. Then describe what may have been your friend’s error.
Answers
Answer:
1/5 divided by 1/10 is 15. The friend's error was that they did not keep, change, and flip. They did 1 divided by 1 which equals 1, and then 5 divided by 10 which equals 50. This is what gave them 1/50.
so uh....its like 3 different questions but you can put it like...
i.e.:
1:
2:
3:
yea like that but.... please help..i'll give brainliest too..
Answers
Answer:
1. 9;19
2. 7;16
3. B and D
Tommy knows that there are 2.54 centimeters in 1 inch. If his desk measures
35 inches long, which number sentence shows this proportion set up correctly
so that Tommy can solve it??
35/2.54 = x/1
2.54/1 = x/35
x/2.54 = 1/35
Answers
Answer:
2.54/1 = x/35
Step-by-step explanation:
2.54 cm per 1 inch = 2.54/1
35 inches total: x/35
2.54/1 = x/35
Make sure to tell me if I’m right and a thanks
In round 1 of a game s student loses 5 points loses 3 points gains 17 points and loses 7 points whats the student score at the end of round 1
Answers
Answer:
The students score at the end of round one is 2
Step-by-step explanation:
if you start at 0 points
0 - 5 = -5
-5 - 3 = -8
-8 + 17 = 9
9 - 7 = 2
Order the expressions from least value to greatest value.
Answers
Answer:
[1] -2 2/3 + (-3 1/6) [2] -2.2*3.4 [3] 4.2/-6 [4] -3 3/5 - (-3 1/10)
Step-by-step explanation:
[1] = -5.91666
[2] = -7.48
[3] = -0.7
[4] = -0.5