MATHEMATICS MIDDLE SCHOOL

Y is directly proportional to the positive square root of x.When x = 9, y = 12.
Find y when x = 1/4

Answers

Answer 1
Answer:

To remove proportionality sign, a proportionality constant is multiplied.

When x = 1/4 then y = 2.

Since, y is directly proportional to the positive square root of x.

So,    y=k√(x)  , where k is proportionality constant.

Since,  When x = 9, y = 12.

            12=k√(9)\n\nk=(12)/(3)=4

Thus, function become,   y=4√(x)

To find y, when x = 1/4

        y=4\sqrt{(1)/(4) } \n\ny=4*(1)/(2)=2

Learn more:

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Answer 2
Answer:

Answer:

y = 2

Step-by-step explanation:

from the question which says that y is directly proportional to the positive square root of x can be expressed mathematically by saying

y ∝ √x

y = k√x..................................................... where k is the constant of proportionality.

y = 12, x = 9 , k = ?

from

y = k√x

12 = k√9

12 =3k

divide both sides by the coefficient of k which is 3

12/3 = 3k/3

4 = k

therefore K = 3

now, to find the value of y when x = 1/4

from y = k√x

y = 4√1/4

y = 4 × 1/2

y = 2

therefore the value of y when x = 1/4  in this expression y = k√x  is 2

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BEST GETS BRAINLEST.A construction engineer needs to make 25 square concrete slabs with sides of length x feet and a height x - 3 feet. If the engineer can use at most 350,000ft^3 of concrete, what should the dimensions of each slab be, to the nearest foot?

a. Write an expression for the volume of all the slabs

b. What should x equal, to the nearest foot?

Answers

Answer:

x ≈ 118 ft

Step-by-step explanation:

To get an expression for the volume of all slabs, we can use the formula of volume of cuboid 'V', which is equal to the product of its length 'x', breadth 'x' and height 'x-3' i.e.

V = x.x.(x-3)

For 25 slabs,

V = 25x.x.(x-3)

Since, V cannot be more than 350,000 ft^(3), therefore,

350000 = 25x^(2) (x-3)

which can be written as:

either:

350000 = 25x^(2)

x = \sqrt{ (350000)/(25)

x ≈ 118 ft

or:

x - 3 = 350000

x = 350003

which is not possible.

Hence x should be 118 ft
We know that the given side lengths are x and the height is x. 

Therefore, the area of the base =  A = x * x 

Formula =\ \textgreater \ volume = length*width*height

To \ find \ the \ volume \ of \ 1 \ slab, \ multiply \ by \ the \ height x -3 

= x*x*(x-3) 

Volume \ of \ 25 \ slabs = 25*x^2*(x-3)=350000 

350,000/25 = 14,000

x^3 - 3x^2 - 14000

= 25.14

Rounded => x=25

Evaluate: x = y² if x = 8 and y = 3
A. 2
B. 509
C. 25
D. -1

​

Answers

Answer:

d I think but dont quote me

Step-by-step explanation:

idk I just guessed

In scoole i need to know whats 14.6 divided by 2

Answers

The answer is 7.3. Hope that helps.
14.6 divided by 6 is 7.3
Hope this helps

Tom and jasper have the same percentage of blue marbles in their bags of marbles. Tom had five blue marbles and 20 total marbles. jasper has 12 blue marbles. how many of jasper marbles are not blue?

Answers

First find the persentage of blue marbles
5/20 = 0.25
0.25 = 25%

Next find the persentage for the other marbles
100% - 25% = 75%

Now take 75% of Jasper's 12 marbles
12*0.75 = 9 marbles are not blue

The following sequence of operations is done on a number. Multiply by 5, add 2, subtract 10, multiply by 2. The final result is 44. What is the original number? Plz help I will give you 100 points

Answers

The original number would be 6 that sequence of operations is done on a number.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Let the original number would be x

The following sequence of operations is done on a number :

Multiply by 5 this means 5 × x,

Then add 2 this means 5 × x + 2,

Then subtract 10, which means 5 × x + 2 - 10, and multiply by 2 this means (5x + 2 - 10) × 2.

The final result is 44.

(5x + 2 - 10) × 2 = 44

(5x - 8) × 2 = 44

10x - 16 = 44

10x = 44 + 16

10x = 60

x = 60/10

x = 6

Therefore, the original number would be 6.

Learn more about the number system here:

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answer the original number is 6

(5x + 2 - 10) *2 = 44

10x + -16 = 44

10x = 60

x=6

Kenny is planning to plant a rectangular garden that is 10 feet longer than it wide. Kenny wants to find its width if its area is 200 square feet. Write an equation that models this problem?

Answers

Let the width be x, then the length is x + 10.
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x^(2) +10x = 200
Solving the quadratic equation, we have that
x = 10 feet
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