The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4
Answer:
B.]2
Step-by-step explanation:
The required positive value of n is 2. Hence, option B is correct.
Important information:
m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:It is given that m is inversely proportional to the square of n. So,
[tex]m\propto \dfrac{1}{n^2}[/tex]
[tex]m=\dfrac{k}{n^2}[/tex] ...(i)
Where, k is the constant of proportionality.
Substitute m = 6 and n = 3 in the above equation.
[tex]6=\dfrac{k}{3^2}[/tex]
[tex]6=\dfrac{k}{9}[/tex]
[tex]6\times 9=k[/tex]
[tex]54=k[/tex]
Substitute this value in (i).
[tex]m=\dfrac{54}{n^2}[/tex]
Substitute m = 13.5 in the above equation.
[tex]13.5=\dfrac{54}{n^2}[/tex]
[tex]n^2=\dfrac{54}{13.5}[/tex]
[tex]n=\pm \sqrt{4}[/tex]
[tex]n=\pm 2[/tex]
Therefore, the required positive value of n is 2. Hence, option B is correct.
Find out more about 'Inverse proportion' here:
https://brainly.com/question/15179946
make a list of all 3 digit numbers using the digit 5, 2, and 6
26 people got off a boat 22 people got on now there's 74 people on the boat how many were on the boat to begin with
Answer:
Step-by-step explanation:
there were 78 people all together because 74-22=52 because it was 52 people altogether after the 26 got off and the 22 got on so 52+26=78 so THE ANSWER IS 78
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x - 15y = 135
6x -15y = 135
-15y = 135 -6x
y = (135-6x)/-15
y = 2/5x + 9
Find the x- and y-intercepts of the graph of the equation.
f(x) = 4x – 12
x-intercept
(x, y) =
y-intercept
(x, y) =
Answer:
x intercept is (3, 0). y intercept is (0, -12).
Step-by-step explanation:
x intercept is when y = 0. [f(x) = y] So 0 = 4x - 12. Solving for x gives you a value of 3. [12 = 4x; divide by 4]
y intercept is when x = 0. So y = 4(0) - 12. Solving for y gives you a value of -12. [y= 0 - 12; y = -12]
which equation show you how to find 13-6
Answer:
13-6=7
Step-by-step explanation:
lol
Answer:
it equals 7
Step-by-step explanation:
Write the equation that represents the model above. Please help!
Answer:
2x + 30 = -2x + 2
Step-by-step explanation:
left side has 2 x's so u get 2x and it also has 3 10's so 2x+30
do the same on the right
2 -xs so -2x and 2 ones
-2x+2
I will give you branilest
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answer:
20
Step-by-step explanation:
If you have 1,500 per package and you need to find how many you will need to get 30,000 all you have to do is divide 30,000 by 1,500 and you get 20 packages. So the final equation would be 30,000=1500(20)
HOPE THIS HELPS!
Answer:20 Packets
Step-by-step explanation:Each packet is worth 1500b so 30,000b/1500b gives you 20 packets
4.2540 centimeters are equal to how many inches?!
Answer: 1.6748031in
Step-by-step explanation:
I NEED A SERIOUS ANSWER. THANK YOU!!
I really hope this helped you. If it did, could u plz mark me as brainliest?
Please help!! i cant fail math
Answer:
The scale factor is 2
Step-by-step explanation:
6х + 15 = 3(2х + 5) How many solutions does the equation to the left have?
Answer:
Infinitely many solutions
Step-by-step explanation: You have to distribute 3(2x+5) which equals 6x+15 which is equal to the other equation. Same slope same y-intercept means (infinitely many solutions).
round 2.294 to nearest hundredth
Answer:
The answer is 2.29 !
Step-by-step explanation:
To round 2.294 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. We use the following rules to round 2.294 to the nearest hundredth: A) If the last digit in the fractional part of 2.294 is less than 5, then simply remove the last the digit of the fractional part
The length of rectangle is 5 centimeters less than three times its width .It’s area is 12 square centimeters. Find the dimensions of the rectangle
Answer:
14
Step-by-step explanation:
Answer: The length is 4 the width is 3
Step-by-step explanation:
What is the other term for integers
Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1
Which of the following equations is equivalent to 4(6p – 3) = 26?
A: 10p – 1 = 26
B:24p – 12 = 26
C: 10p – 7 = 26
D: 24p – 3 = 26
Answer:
B. 24p - 12 = 26
For both 4(6p – 3) = 26 and 24p - 12 = 26, [tex]p = \frac{19}{12}[/tex]
I hope that this helps you!
Answer:
B:24p – 12 = 26
Step-by-step explanation:
A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per lane.
A linear model of this situation contains the values (2, 41) and (3, 59.25), where x represents the number of hours bowled on one lane, and y represents the total cost for bowling.
What is the rate of change in this linear model?
Answer: 18.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
dvj 2355
Use the Distributive Property to expand the expression -(u-v)
Answer:
(U+V) is the answer to the solution
How would you simplify (-4r^5)(2r^8)?
Answer:
− 8 r^ 13
Step-by-step explanation:
Combine like terms
-4r and 2r= -8r
then add the exponents
5+8=13
THEN SIMPLIFY
-8r^13
What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
the answer is A. 3/4
Step-by-step explanation:
Try using Symbolab for future reference it works really well (it's what I use ALL the time)!
Which of the following numbers would be an outlier if added to the data set below?
507, 586, 499, 542, 615, 600, 561, 519
Group of answer choices
610
487
535
380
Answer:
The answer is 380
Step-by-step explanation:
It is 380 because 610, 487, 535 will be fine in the group but 380 is different so it will be considered a Outlier
The standard unit for measurement for volume is
Answer:
I'm pretty sure it's cubic meters
Helpp me plzzzzzZZzz
The cost of Marianne's old bracelet is two-thirds
The cost of her new bracelet. The cost of her old
bracelet is $18. Need help what Is this solution
Answer:
the answer is $12
Step-by-step explanation:
to get the answer you would multiply 18 by 2/3 or you can divide by 3 then multiply what you get from dividing by 3 by 2.
version 1: 18(2/3) = ?
12
version 2: 18/3=?
6 you want to multiply by to because that is 1/3 of the original price
6(2) = 12
Either way you get the same answer. Hopes this helps
May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.
9514 1404 393
Answer:
x = 17y = 26Step-by-step explanation:
In the left problem, you use the fact that the sum of the segment lengths is equal to the overall length.
AC +CB = AB
(3x -4) +(x -2) = 62
4x -6 = 62 . . . . . collect terms
4x = 68 . . . . . . . add 6
x = 17 . . . . . . . . . . divide by 4
__
In the right problem, you use the fact that the sum of the angles is equal to the overall angle. Here, that overall angle is a linear angle, so measures 180°.
∠DFG +∠GFE = ∠DFE
(5y +3) +(2y -5) = 180
7y = 182 . . . . . . . . . . . . . . collect terms, add 2
y = 26 . . . . . . . . . . . . . . . .divide by 7
calvin had 43 cents he found 14 more cents. how much money dose calvin have rounded to the nearest dime
Answer:
Calvin has 60 cents rounded to the nearest dime. without rounding he would only have 57
Which of the following quantities are inversely proportional? WILL GIVE BRAINLIEST AND 25 POINTS
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
b
The height of a rectangular fish tank and the area of its base, if the volume is constant
c
The amount of candy purchased for $25.50 and the price per pound
d
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
Answer:
I believe the answer is D
Step-by-step explanation:
Inverse proportion occurs when one value increases and the other decreases
D is the answer because as each cat eats the same amount of dry cat food, there is less dry cat food in the bag; so this is why D best answers the question.
Hope this helps!
Answer:
a is false, B is true,
Step-by-step explanation:A is false because the more hours you work, the more money you get.
B is true because if the volume is constant, the bigger the length, the smaller the width, or vice versa.
Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?
Answer:
1/6 cups
Step-by-step explanation:
5/6 /5 = 5/6 divided by 5
= 5/6 x 1/5
= 1/6
so your answer is 1/6 cups of baking soda per tablespoon of water
yw ;)
The rate for cups of baking soda per tablespoon of water is 1/6.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mixture that he adds to the paint is made of 5/6 cup baking soda for every 5 tablespoons of water.
Hence, The rate for cups of baking soda per tablespoon of water is,
⇒ 5/6 ÷ 5
⇒ 5/6 × 1/5
⇒ 1/6
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
Determine the quotient
Answer:
option 2: [tex]\large \frac{10}{12}[/tex]
Step-by-step explanation:
when dividing fractions, you can actually multiply them together by the reciprocal of the second one. (reciprocal is just flipping the fraction)
so, [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex]
becomes [tex]\frac{2}{3} * \frac{5}{4}[/tex]
to multiply fractions together, just multiply the top and bottom.
2 * 5 = 10
3 * 4 = 12
so the answer would be [tex]\frac{10}{12}[/tex]