If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
Answers
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
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Related Questions
Pls help!!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
Answer:
a) 18 cm
Step-by-step explanation:
c=2(pi)r
36(pi)=2(pi)r
18=r
PLEASE HELP find the ratio of 25 cents to $1.25
Answers
Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
Answers
What’s the answer lol
Answers
Answer:
a i think
Step-by-step explanation:
do you know the answer
Answers
Answer:
The answer is 15.
Other:
Brainliest? Thanks!
Use the following scenario to answer the question below:
You are deciding between two cars with different engines and want the bigger
of the two. One engine displaces 350 cubic inches. The other displaces 5,500
cubic centimeters. How many significant figures do the values in this problem
involve?
A. 4
B. 3
C. 2
D. 1
Answers
I need help in math thank you
Answers
The correct answer is 960 yards
Explanation:
The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.
D (Distance) = s (speed) x t (time)
D = 32 ft/s x 90 s
D= 2880 ft
This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:
1 foot = 0.3333 yards
2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.
Consider best strategy to solve the problem.
On a field trip, the ratio of teachers to students is 1:25. If there
are 5 teachers on the field trip, how many students are on the
trip?
Answers
5:1,25=4
1/4 teacher plus for echipa studenta.
plz help! will give brainliest! really easy!
Answers
Answer:
C
Step-by-step explanation:
I explained it in the comments of the other one
Which is greater 0.25 or 0.025
Answers
Answer:
0.25
Step-by-step explanation:
0.25*100=25
0.05*100=5.25
25 is greater than 5.25 so 0.25 is your answer
Hope this helps :) and pls give brainliest
Coach Coleman is ordering thigh and knee pads for the football players. There are 20 players. Thigh pads come in packs of 2 and knee pads come in packs of 4. What is the least number of packs of thigh and knee pads can he order so that none will be left over?
Answers
Answer:
100 or 80
Step-by-step explanation:
I HAD A SIMILAR QUESTION.
I'M SORRY IF ITS WRONG.
Thee questionn is beloww
Answers
Given:
[tex]m\angle ABC=60[/tex]
To find:
The [tex]m\angle ADC[/tex].
Solution:
In circle B, [tex]\angle ABC[/tex] is central angle and [tex]\angle ADC[/tex] is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[tex]m\angle ABC=2(m\angle ADC)[/tex] [Central angle theorem]
[tex]60=2(m\angle ADC)[/tex]
Divide both sides by 2.
[tex]\dfrac{60}{2}=m\angle ADC[/tex]
[tex]30=m\angle ADC[/tex]
Therefore, [tex]m\angle ADC=30[/tex].
30 POINTS BRAINLY FIRST REAL RESPONSE
Step 3: Applying linear functions
Grace and Claire’s parents are saving money now for their college education. Function 1 shows the growth of baby Grace’s college fund over time. Function 2 shows growth of baby Claire’s college fund over time.
a) If Grace and Claire’s parents each invested $7,600 into a college saving account when the girls were born, how much money will each girl have for college when she turns 18? Explain. (2 points)
b) Do the functions show a positive or negative correlation between time and the amount of money saved? Explain. (1 point)
Answers
Answer:
For A
For grace the x would be the number 18
y = 1000 (18) + 7600
y= 18000 = 7600
and that would mean y = 25600
Now for Claire you have to use the method rise over run
The equation for claire is y=800x + 7600
11600-10000/3=800
---------------------------------------
y= 800(18) + 7600
y= 14,400 + 7600
y= 22,000
This shows that Claire would have $22,000 when shes 18 and Grace would have $25,600 when she is 18.
If the point (x, y) is in Quadrant IV, which of the following must be true?
Answers
Answer:
Any coordinate point with (positive x, negative y)
After the movie premiere 99 out of 130 people surveyed said they liked the movie.
What is the experimental probability that the next person surveyed will say he or she liked the movie?
What is the experimental probability that the next person surveyed will say he or she did not like the movie?
Answers
Answer:
99 over 130 multiplied by 100 over 1
The ratio of potatoes to turnips is 3:1 if there is 75 potatoes how many turnips are there
Answers
Answer:
25
Step-by-step explanation:
let the total of potatoes and turnips be x
total ratio=1+3
=4
3÷4×x=75
3x=75×3
3x=300
x=300÷3
x=100
caterer uses this table to help customers estimate how much it costs to provide and serve food at their events for 5 to 25 people
Answers
Answer:
For every person added, the total cost increases by $6.50.
Step-by-step explanation:
what is the slope on
Answers
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
The slope is the rise over run or the change in y over the change in x. In this case, the y decreases by 3 while the x increases by 1. Since one value increases while the other decreases the slope must be negative. So if we put the 3 over 1 and make it negative the answer is -3/1, which simplifies to -3.
The table below shows some prices at a produce stand.
Produce Price per Pound
Onions $2.25
Yellow Squash $2.99
Spinach $4.00
Potatoes $2.50
Florence wants to spend no more than $4 on onions. Will she be able to buy 1.9 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.
HELPPPPP PLEASE!
Answers
Rounded to the tenths it will be 4.28
4.28 and/or 4.275 is still above the integer 4
Find the value
If a=4 b=7, and c=-5
3c
Answers
Answer:
=-15
Step-by-step explanation:
3c
3(-5)
3×-5
=-15
The roots to a parabola are 2 and -3. What is one
possible equation for this parabola
Answers
Answer:
x^2+x-6
Step-by-step explanation:
i did a thing
hope this is correct and helps
Answer:
[tex]y = x^2 + x - 6[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a parabola to find a possible equation.
Factored Form: [tex]y = a(x - h)(x - k)[/tex]
h and k are rootsSince the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.
Find the Equation[tex]y = a(x - h)(x - k)[/tex][tex]y = 1(x - 2)(x +3)[/tex][tex]y = 1(x^2 + x - 6)[/tex][tex]y = x^2 + x - 6[/tex]One possible equation is [tex]y = x^2 + x - 6[/tex].
what is 11010base2 - 1101base2
Answers
Answer:
###########################
Step-by-step explanation:
lkaooassss
Help me it’s 20 points
Answers
Enter the number that belongs in the green box cd=
Answers
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
17 Ryan and two friends volunteered to deliver
potted flowers to one wing of the hospital.
They have 18 flowers to deliver. If they each
deliver the same number of flowers, how
many flowers will each boy deliver?
Answers
18/3 = 6 flowers
Each boy delivered 6
Which of the following hace a value equal to |37|? Select all that apply
A. -37
B. |-37|
C.0
D. -(-37)
E. 37
Answers
The absolute value of -37 is 37.
The absolute value of 37 is also 37.
When you distribute the negative in the parenthesis the -37 becomes positive.
If a=5 what is the value of the card 4a-2
Answers
Answer:
18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4a - 2
a = 5
Step 2: Evaluate
Substitute in a: 4(5) - 2Multiply: 20 - 2Subtract: 18Answer:
The card "4a-2" is equal to 18
4a-2 = 18
Step-by-step explanation:
#1. Replace a with 5 and Your equation should look like the following:
4(5)-2
#2. Now Simplify, we all know that multiplication goes before subtraction or addition:
20-2
#3. Celebrate:
18
Woohoo
Hope this helps!
Have a nice day!
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What are the operations of fractions by multiplications?
Answers
Find the least common denominator .
Write both original fractions as equivalent fractions with the least common denominator.
Add (or subtract) the numerators.
Write the result with the denominator.
...
Fraction Operations
Find the least common denominator .
Write both original fractions as equivalent fractions with the least common denominator.
Add (or subtract) the numerators.
Write the result with the denominator.
What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116
Answers
Answer:
the range is from 105 to 234
Step-by-step explanation:
Question 3 of 5
Which fraction and decimal forms match the long division problem?
SO
tele
OAS 0.50
OR S and 0.58
OGS and 0.58
OS and 0.58
I NEES HELP plz
Answers
Answer:
8/15= 0.533
Step-by-step explanation:
8 divided by 15 isn't possible so according to the rules of division we introduce a (0.) then we add a (0) to the back of (8) to make it (80) which is bigger than (15) so we now have (80/15) which is (5) remaining (5) then we add the back of the (0.) it then becomes (0.5) we then step down the remaining (5) and also add a (0) at the back to make it (50) which is also bigger than (15) (50/15) which gives us (3) and a remaining (5) add (3) to the back of (0.5) to become (0.53) also still step down the remaining (5) add a zero to it to become (50) still divide by (15) gives (3) and remains (5) and it gives the same answer so it is a reoccurring decimal.
Thank you hope I was of help!!