y is directly proportional to the square root of x
if y = 60 when x = 36
find x when y = 80

Answers

Answer 1
y = x^2
80 = x^2
x = √80
x = 8.94
Answer 2

Answer:

x = 64

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

To find k use the condition y = 60 when x = 36, then

60 = k [tex]\sqrt{36}[/tex] = 6k ( divide both sides by 6 )

10 = k

y = 10[tex]\sqrt{x}[/tex] ← equation of proportion

When y = 80 , then

80 = 10[tex]\sqrt{x}[/tex] ( divide both sides by 10 )

8 = [tex]\sqrt{x}[/tex] ( square both sides )

64 = x


Related Questions

what is the result when the number 38 is decreased by 4%​

Answers

Answer:

1.52

Step-by-step explanation:

38 decreased by 4% = 36.48

Absolute change (actual difference):

36.48 - 38 = - 1.52

I need help with this!!

Answers

2 out of 5


Good luck on ur test

Which mapping represents a function?

Answers

The answer to the question is B

My brain operates on one brain cell I need help

Answers

Fraction of small piece is 1/3 large piece is 1/7
Longer is 7/10
Shorter is 3/10

Plz help me no link PLZ NO LINKKSSS Thank you

Answers

just add them up! and then u shall be good

Answer:

36 units

Step-by-step explanation:

5 + 13 + 5 + 13

10 + 13 + 13

10 + 26

36

What is the answer for 2v-6/3-v ?

Answers

Step by step explanation:

2v−6

3-v

Factor the expressions that are not already factored.

2(v−3)

−v+3

Extract the negative sign in −3+v.

−2(−v+3)

−v+3

Cancel out −v+3 in both numerator and denominator.

−2

Answer:

-2

Help please (: :). .

Answers

Answer:37.68

Brainliest pls

Answer:

The circumference of the circle is 75.36cm

Step-by-step explanation:

There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi

If you work 11 hours per week and get paid 11.71 per hour how much do you get paid per month and per year

Answers

515 per month

6182 per year

hello please help i’ll give brainliest

Answers

Answer:

i think 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is nine 100% sure

Estimate: 55 +8
50
60
7
8

Answers

Answer:

60

But the actual solution is 63.

Step-by-step explanation:

55+8=63

63

3<5 so you don't round up, you round down.

Rounding down... 60

60

But the actual solution is 63.

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?

Answers

Answer:

The grade of this sixth and (final) test would be 91.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

5. A ladder leans against a building. The top of the ladder touches the building 10 feet above the ground. The foot of the
ladder is 4 feet from the building. Find, to the nearest degree, the angle that the ladder makes with the level ground.
(3 points)

Answers

Answer:

68 degrees

Step-by-step explanation:

The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.

The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft.  Thus,

tan x = (opp side) / (adj side) = 10/4.  Using the inverse tangent function, we find that the angle in question is

arctan (10/4) = 68 degrees

question 5 plz help !!!!!!!

Answers

Answer:

4.c5.a

Step-by-step explanation:

#CARRY ON LEARNING#MARK BRAINLITS

Answer:

The answer is letter D.

why?

Step-by-step explanation:

Id.k -_-

j0ke

=

2

π

r

=

2

π

3

18.84956

and that's it

HOPE IT HELPS

(FROM CROSS)

(find the value of x from the given
figures.)
F
a)
120
3
solo​

Answers

Answer:

sorry,

can u repost yr question with figure plz

stay safe healthy and happy.

$3 subtracted from the cost of the book

Answers

what is the cost of the book?

Answer:

x = 11 explanation : " $3 subtracted from the cost of the book just number 8! " As an equation this would be : x - 3 = 8 SOLVE x - 3 = 8   + 3  + 3 x = 11 KEY x = cost of book 

hope it helps

Find the arc length of BC, use 3.14 for pi and round your answer to the nearest
tenth.

Answers

Answer:

31.4

Step-by-step explanation:

someone help please :(

Answers

Answer:

47 I believe

Step-by-step explanation:

3 Because if you do 68-65 u will get 3

write an equation in slope-intercept form for a line that passes through the given point and that is perpendicular to the given line.
x= -7; (0.2)
would y= -1/2x -7 work? or no, because -7 is the slope for the one given above?

Answers

Answer:

Step-by-step explanation:

x= -7; (0.2)

x  =  1.4

----------------

y =−  2  x   −7

I really hope this helps

What percent of the data is less than 10 texts?

Group of answer choices

25%

50%

75%

100%

Answers

I think it would be 25%

please help, will give brainliest.

Answers

Answer:

13)  8r = 256;   r = 32

14)  f = 2(5)

15)  8t = 208;    208/8 = 26

Step-by-step explanation:

Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.

Enter the correct answers in the boxes.

Answers

Answer

omgggggggg same i dont know how to do it either

Step-by-step explanation:

Answer:

there is 11 min all to together for sage and tom so they did not have the same cell phone line

Step-by-step explanation:

its easy

If the measurement of angle 2 is 120 degrees, what is the measurement of angle 7?

Answers

Answer:

The measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is

angles 2 and 7 equal 180 degrees.  180 = 2x + x

180 = 3x

x = 60

angle 7 is twice x

angle 7 = 120

Step-by-step explanation:

The total cost of 8 identical pens and 2 identical files is $32 The total cost of 3 such files is the same as the total cost of 4 such pens. Find the cost of each file

Answers

Answer:

$4

Step-by-step explanation:

Given that

total cost of 8 identical pens and 2 identical files is $32

And, the The total cost of 3 such files would be the same  as the total cost of 4 such pens

We need to find out the cost of each file

So let us assume the following things

Pens be x

File be y

Now

8x + 2y = $32 ....(1)

3y = 4x.........(2)

y =  4x÷ 3

Now put the value of y in equation 1

8x + 1.33x = 32

x = $3.55

x = $4

The cost of each file based on the given information is $4

where:

Let the cost of a pen be xLet the cost of a file be y

Simultaneous equation

If the total cost of 8 identical pens and 2 identical files is $32, hence;

8x + 2y = 32

If the total cost of 3 such files is the same as the total cost of 4 such pens, then;

4x = 3y

From the equation

8x + 2y = 32

2(4x) + 2y = 32

2(3y) + 2y = 32

8y = 32

y = 4

Since 6=4x = 3y

4x = 3(4)

4x = 12

x= 3

Hence the cost of each file is $4

Learn more on simultaneous equation here: https://brainly.com/question/6597041

AB= please answer :)

Answers

Answer:

8.77 or 8.80

Step-by-step explanation:

sin (20) = 3/x

x (sin)20)) = 3

divide by sin(20)

x= 8.77 or 8.8

Find the value of x and y

Answers

Answer:

2x + 20 = 3x-10

2x -3x = -20-10

-x = -30

x= 30

Checking part:

2x+20 = 2(30) +20 = 60+20 = 80

3x-10 = 3(30) - 10 = 90-10 = 80

Hence, the final answer is x = 30.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the angle should be the same so,

2x+20=3x-10

x=30

what do you mean find y? I can't see it

What is the simplified form of the following expression?
25xy sqrt 81/625x²y^2

Answers

Answer:

c

Step-by-step explanation:

edge 20220020

Answer:

D

Step-by-step explanation:

treust mememe

Which is not equivalent to 8/12

16/24
24/48
4/6
24/36

Answers

Answer:

The second one, 24/48

Brainliest would be great!

Answer:

24/48

Step-by-step explanation:

On simplifying (3+√3 )(5- √2), the value is

A. 112
B. 18
C. 6
D. 21

no spam and please explain ur answer .​

Answers

Answer:

18

Step-by-step explanation:

( 3 + √3 ) ( 5 - √2 )

= 3 ( 5 - √2 ) + √3 ( 5 - √2 )

= 15 - 3√2 + 5√3 - √6

√2 = 1.41 ( approximately )

3√2

= 3 x 1.41

= 4.23

√6 = 2.44

√3 = 1.73

5√3

= 5 x 1.73

= 8.65

15 - 3√2 + 5√3 - √6

= 15 - 4.23 + 8.63 - 2.44

= 15 + 8.63 - 4.23 - 2.44

= 15 + 8.63 - 6.67

= 15 + 1.93

= 16.93

Rounding of 16.93 = 17

17 is near to 18.

So, 18 can be the answer.

Find the missing height of a rectangular prism that has a volume of 137.5 inches with a width of 2.5 and length 10 in

Answers

Answer:

The answer would be 5.5

Step-by-step explanation:

To prove it, 10 x 2.5 x 5.5 would equal 137.5

please help me complete these -5a^2+ 5a = _______(a – 1) and 18x^2 + 2x³ = _______(9 + x) I need to complete the blanks

Answers

Answer:

Step-by-step explanation:

-5a^2+ 5a factors as follows:  -5(a - 1) (so -5 goes into the blank space).

 18x^2 + 2x³ factors as follows:  2x^2(x + 9) (so 2x^2 goes into the blank    space)

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