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4 years ago

How do i solve p-7/12>3/10

Mathematics

1 answer:

marin [14]4 years ago

7 0

Answer:

p>53/60

Step-by-step explanation:

p-7/12>3/10

p>3/10+7/12

p>18/60+35/60

p>53/60

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The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.

lubasha [3.4K]

<h3>given:</h3>

$v = 905 \: {cm}^{3}$

the radius of the given ball (sphere).

<h3>solution:</h3>

$r = \sqrt[3]{ \frac{3v}{4\pi} }$

$r = \sqrt[3]{ \frac{3 \times 905}{4\pi} }$

$r = 6 \: cm$

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

8 0

2 years ago

Read 2 more answers

Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9

erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable z

[3] 5z = -2x - 2y + 9

[3] z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable z in equation [1]

[1] 5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

[1] 7x/5 + 27y/5 = -56/5

[1] 7x + 27y = -56

__________________________________________________________

// Plug this in for variable z in equation [2]

[2] 4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

[2] 8x/5 + 33y/5 = -4/5

[2] 8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable y

[2] 33y = -8x - 4

[2] y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable y in equation [1]

[1] 7x + 27•(-8x/33-4/33) = -56

[1] 5x/11 = -580/11

[1] 5x = -580

__________________________________________________________

// Solve equation [1] for the variable x

[1] 5x = - 580

[1] x = - 116

__________________________________________________________

// By now we know this much :

x = -116

y = -8x/33-4/33

z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the x value to solve for y

y = -(8/33)(-116)-4/33 = 28

__________________________________________________________

// Use the x and y values to solve for z

z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped _____________________│

│~Derelis ____________________________ │

╨___________________________________╨

4 0

3 years ago

Find the coordinates of the midpoint HX. H (5 1/2, -4 3/4), X (2 1/4, 1 1/4)

Fiesta28 [93]

Answer:

(3 7/8, -1 3/4)

Step-by-step explanation:

The midpoint is the average of the end point coordinates:

((5 1/2, -4 3/4) +(2 1/4, 1 1/4))/2

= (7 3/4, -3 1/2)/2 = (3 7/8, -1 3/4)

6 0

3 years ago

Given f(x) = x^2 + x − 2 and g(x) = 2x − 4, identify (f + g)(x).

shutvik [7]

Answer:

(f + g)(x) = x^2 + 3x - 6

Step-by-step explanation:

Given f(x) = x^2 + x − 2 and g(x) = 2x − 4

Plug in:

(f + g)(x) = x^2 + x − 2 + 2x − 4

(f + g)(x) = x^2 + 3x - 6

3 0

3 years ago

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Determine the equation of the tangent to x− 3x +1 at the point (3,1)

wariber [46]

9514 1404 393

Answer:

y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

y' = 2x -3

At x=3, the slope is ...

y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line

y = 3x -9 +1 . . . . . eliminate parentheses, add 1

y = 3x -8

4 0

3 years ago