Answers
Answer:
The answer is option AStep-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
[tex]y \: \: \alpha \: \: \frac{k}{ \sqrt{x} } [/tex]where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
[tex]2 = \frac{k}{ \sqrt{16} } \\ 2 = \frac{k}{4} [/tex]Cross multiply we have the answer as
k = 8
So the formula for the variation is
[tex]y = \frac{8}{ \sqrt{x} } [/tex]Now when y = 24
We have
[tex]24 = \frac{8}{ \sqrt{x} } \\ 24 \sqrt{x} = 8 \\ \sqrt{x} = \frac{8}{24} \\ \sqrt{x} = \frac{1}{3} [/tex]Square both sides
[tex]( { \sqrt{x} })^{2} = ( { \frac{1}{3} })^{2} [/tex]We have the final answer as
[tex]x = \frac{1}{9} [/tex]Hope this helps you
Related Questions
The bells are adding a new room to their house. The room will be a cube with volume of 4,913 feet cubed. They are going to put in hardwood floors, and the contractor charged $5 per square foot. How much will the j hardwood floors cost?
Answers
Answer:
$1445
Step-by-step explanation:
The side length of the room is the cube root of the volume of the cube:
s = ∛4913 = 17 . . . . feet
The area of the floor is the square of this side length:
A = (17 ft)² = 289 ft²
The cost of the floor is $5 for each square foot:
cost = ($5/ft²)(289 ft²) = $1445
The hardwood floor will cost $1445.
what is the answer to 8 + a0 = 6
Answers
Answer:
im positive it = 6
Step-by-step explanation:
‼️Name the vertex and sides of the angle below
Answers
Side=E
Side=F
Which of the following expressions is equivalent to 3 m ( m − 2 ) − ( m ^2 + 1 ) ?
Answers
Answer:
uh
Step-by-step explanation:
Answer:
me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.
Step-by-step explanation:
If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?
Answers
Answer:
71
Step-by-step explanation:
Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7
The coordinates of point T are (0,2). The midpoint of ST is (7, -4). Find the coordinates of point S.
Answers
Answer: The coordinates of point S is (14,-10).
Step-by-step explanation:
Midpoint of line joining [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :-
[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Given, The coordinates of point T are (0,2). The midpoint of ST is (7, -4).
Let (a,b) be the coordinates of point S.
Then,
[tex](7,-4)=(\dfrac{0+a}{2},\dfrac{2+b}{2})\\\\\Rightarrow\ 7=\dfrac{a}{2},\ \ \ -4=\dfrac{2+b}{2}\\\\\Rightarrow\ a=7\times 2= 14, \ \ 2+b= 2\times-4 =-8\\\\\Rightarrow\ a=14,\ \ \ 2+b=-8\\\\\Rightarrow\ a=14, \ b= -8-2=6--10\\\\\Rightarrow\ a=14,\ b=-10[/tex]
Hence, the coordinates of point S is (14,-10).
Does (3, 4) lie on the line with equation 5x + 2y = 23?
Answers
Answer:
yes
Step-by-step explanation:
5(3) + 2(4) = 23 or you could just graph it to see.
Can someone help me ?
Answers
Answer:
1. B
2.B
3.C It could also be d because when you round it it would give you
8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED
Step-by-step explanation:
Solve for a .5(a+b)h
Answers
Answer: 5ah+5bh
Step-by-step explanation:
all i did was foil! hope that helps!
F(x)=3x-6
X=-4
Need sender ASAP
Answers
Answer:
-18
Step-by-step explanation:
3(-4) - 6
-12 - 6 = -18
Is (6/5, 2) a solution to y = x + 4/5
Answers
Answer:
Yes, it is.
Step-by-step explanation:
y = x + 4/5
2 = 6/5 + 4/5
2 = 10/5
2 = 2
Two equals two.
Which of the following represents this function written in standard form?
y = 2(x - 1)(x-6)
A.y=2x^2 - 12+6
B. Y=2x^2 - 14x +12
C.y=2x^2 -12x+12
D.y=2x^2 -7x+12
Answers
Answer:
Hey there!
2(x-1)(x-6)
2x-2(x-6)
2x^2-2x-12x+12
2x^2-14x+12
Choice B is correct.
Let me know if this helps :)
3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa
Answers
Answer:
The final balance is $78,243.04.
The total compound interest is $20,243.04.
Step-by-step explanation:
Year Principal Yearly Interest Total Interest Total Balance
0 58,000 0 0 58,000
1 58,000 2,967.39 2,967.39 60,967.39
2 58,000 3,119.21 6,086.6 64,086.6
3 58,000 3,278.79 9,365.4 67,365.4
4 58,000 3,446.54 12,811.94 70,811.94
5 58,000 3,622.88 16,434.82 74,434.82
6 58,000 3,808.23 20,243.04 78,243.04
16. 一人一号)
What is the answer to this
Answers
Answer:
one person one number
Step-by-step explanation:
Answer:
One person One number
Step-by-step explanation:
You probably don't need my answer but yeh
Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
determine the numerical length of MN
Answer : MN =
Answers
Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
[tex] LM + MN = LN [/tex] (segment addition postulate)
[tex] 5x + 4x = 9 [/tex] (substitution)
Solve for x
[tex] 9x = 9 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{9}{9} [/tex]
[tex] x = 1 [/tex]
MN = 4x
plug in the value of x
MN = 4(1) = 4
What is an algebraic expression for each phrase? A. The product of 9 and a number t. B. The difference of a number x and 1/2 c. The sum of a number m and 7.1
Answers
Answer:a) 9 x t
b) x - 1/2c
c) m + 7.1
Step-by-step explanation:
STEP 1
Giving the algebraic expression becomes
A- The product of 9 and a number t. = 9 X t
B. The difference of a number x and 1/2 c= x - 1/2 c
C. The sum of a number m and 7.1 = m + 7.1
Step 2
The answers are
a) 9 x t
b) x - 1/2c
c) m + 7.1
Find the elapsed time for a person who worked from:
11. 10:00 am to 7:00 pm
12. 5:45 am to 11:20 am
13.6:00 pm to 9:48 pm
Answers
Answer:
11. 9hrs
12. 5hrs 35min
13. 3hrs 48 min
Step-by-step explanation:
Makes it a bit easier if you convert to 24 hr time.
11. 10 - 19 is 9hrs
12. 545-1120 is 11-5 20-45 -> 6hrs -25min -> 5hrs 35min
13. 1800 - 2148 is 21-18 48-00 -> 3hrs 48 min
Answer:
11. 9h
12. 5h 35 min
13. 3h 48min
Step-by-step explanation:
11.
here,
time elapsed = ∆t = final time - initial time
= 7 pm - 10 am
= (12+7) h - 10 h {turn pm into am by adding 12 and converting both into hour and min}
= 9 h
12.
similarly,
time elapsed = ∆t = final time - initial time
= 11 h 20 min - 5 h 45 min
= 5 h 35 min
13.
similarly,
time elapsed = ∆t = final time - initial time
= 9 h 48min - 6 h
= 3h 58min
I HOPE IT HELPED YOU!
2•2•2•2•2•3•3•3•3 in exponential form.
Answers
Answer:
2^5 and 3^4
Step-by-step explanation:
you can see there are 5 2's and 4 3's. so it would be 2^5 and 3^4
Four people have found the perimeter of a forest using different methods their results are given in the table Order them from least to greatest A)Jason,Mika,Leon B)Ashley,Jason,Leon C)Mika,Ashley,Jason,Leon D) Leon,Mika,Jason,Ashley
Answers
Answer:
LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)
Step-by-step explanation:
To order their perimeter from the least to the greatest, express all perimeters in decimals:
LEON = √17 - 2 = 4.1 - 2 = 2.1
MIKA = 1 + π/2 = 1 + 22/7*½ = 1 + 22/14 = 1 + 1.6 = 2.6
JASON = 12/5 = 2⅖ = 2.4
ASHLEY = 2.5
From least to greatest, we have: LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)
Perform the indicated operation. 1 and 2/3 plus 5 and 3/8
Answers
Answer:
7 1/24
Step-by-step explanation:
1 2/3+5 3/8=?
first you need to find the least common multiple between 2/3 and 3/8.
the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.
so your new fractions are 1 16/24 + 5 9/24
now you add 16+9=25 (25/24, which becomes 1 1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7
so the answer would be 7 1/24
solve the equation below for x
2/3(x-18y)=6y
Answers
Answer:
[tex]x = 27y[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}(x - 18y) = 6y[/tex]
Multiply both sides by 3/2.
[tex]\dfrac{3}{2} \times \dfrac{2}{3}(x - 18y) = \dfrac{3}{2} \times 6y[/tex]
[tex]x - 18y = 9y[/tex]
Add 18y to both sides.
[tex]x = 27y[/tex]
Answer:
x=27y
Step-by-step explanation:
5/20
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
2:5
2:4
11:2
2:11
Muson
o
9:00
Answers
Answer:
total dogs= 2
total pets= 2+4+5=11
so, the ratio of dogs to all pets = 2/11
Step-by-step explanation:
Based on the number of all animals in the shop as well as the number of dogs, we can infer that the ratio of dogs to the others is 2 : 11
The first thing to do is to find the total number of animals in the shop:
= Dogs + Cats + Hamsters
= 2 + 4 + 5
= 11 animals
The ratio of dogs to the rest of the animals is:
= Number of dogs : Number of animals
= 2 : 11
= 2 : 11
In conclusion, the ratio is 2:11.
Find out more at https://brainly.com/question/20588583.
360, 180, 120, 90, _, _
find the next two terms
Answers
Answer:
the next terms would be 72 and 60
The next two term are :72 and 60
To get the next two term we are going to substract 1/2, 1/3, 1/4, 1/5, 1/6 from each sequence.
Sequence:360, 180,120,90
360-1/2×360
=360-180
=180
180-1/3×180
=180-60
=120
120-1/4×120
=120-30
=90
90-1/5×90
=90-18
=72
72-1/6×72
=72-12
=60
Inconclusion The next two term are :72 and 60
Learn more here:
https://brainly.com/question/19127951
Eastside Gym charges a $60 initial fee and $28.50 per month. Valley Gym charges $36 per month, and no initial fee. After how many months of use would Eastside cost less than Valley
Answers
answer: after 6 months
What is 3/13 of 91 ?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
21
▹ Step-by-Step Explanation
3/13 x 91/1
91/13 = 7
3/1 = 3
3 * 7 = 21
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Correct 8695.496 to five significant figures
Answers
Answer:
8695.5
Step-by-step explanation:
you round the four to a five because the number behind it is greater than or equal to 5
hope that helps
solve by substitution y=2x-1 y=3x+1
Answers
Step-by-Step Explanation:
Since the two expressions both equal y, you can set them equal to each other.
2x-1 = 3x+1
Subtract 2x from both sides.
-1 = x+1
Subtract 1 from both sides.
-2 = x
Please help I don’t know this question .
Answers
x = 6
AB = 11
BC = 22
Hope that helps :)
f(x)=-3x^2+9x-8 Find f(5)
Answers
Answer:
-38
Step-by-step explanation:
You replace the x with 5.
turns it into -3 (5)^2+9(5)-8
-3(25)+45-8
-75+45=-30-8=-38
-3(5)^2+9(5)-8
answer:
-38
look at image. reflection across the x-axis
Answers
Answer:
j -4,-3 K -2,0 L 2,-3 M -1,-4
Step-by-step explanation: